11112 lines
1.8 MiB
Executable File
11112 lines
1.8 MiB
Executable File
<!DOCTYPE html> <html class="client-js vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-disabled vector-feature-custom-font-size-clientpref-0 vector-feature-appearance-disabled vector-feature-appearance-pinned-clientpref-0 vector-feature-night-mode-disabled skin-theme-clientpref-day vector-toc-not-available translated-ltr vector-animations-ready ve-not-available" lang=en dir=ltr style><!--
|
||
Page saved with SingleFile
|
||
url: https://de-wikisource-org.translate.goog/wiki/Translatorische_Bewegung_des_Licht%C3%A4thers?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US
|
||
saved date: Thu May 30 2024 00:15:30 GMT-0400 (Eastern Daylight Time)
|
||
--><meta charset=utf-8>
|
||
|
||
<title>Translational movement of the light ether - Wikisource</title>
|
||
<style>:root{--sf-img-4: url("data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiPz4KPHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxMiIgaGVpZ2h0PSIxMiIgdmlld0JveD0iMCAwIDEyIDEyIj4KCTxwYXRoIGZpbGw9IiMyMDIxMjIiIGQ9Im0xMS4wNSAzLjk5Ni0uOTY1LTEuMDUzLTQuMDM1IDMuODYtMy45NDctMy44NkwxLjA1IDMuOTk2bDUgNXoiLz4KPC9zdmc+Cg==")}</style><style>.mw-cite-backlink{-webkit-user-select:none;-moz-user-select:none;user-select:none}ol.references{counter-reset:mw-ref-extends-parent mw-references list-item}ol.references>li{counter-increment:mw-ref-extends-parent mw-references;counter-reset:mw-ref-extends-child}sup.reference{unicode-bidi:-moz-isolate;unicode-bidi:-webkit-isolate;unicode-bidi:isolate;white-space:nowrap;font-weight:normal;font-style:normal}ol.references li:target,sup.reference:target{background-color:var(--background-color-progressive-subtle,#eaf3ff)}@namespace m url(http://www.w3.org/1998/Math/MathML);.mwe-math-mathml-inline{display:inline!important}.mwe-math-mathml-a11y{clip:rect(1px,1px,1px,1px);overflow:hidden;position:absolute;width:1px;height:1px;opacity:0}.mwe-math-fallback-image-inline{display:inline-block}@media screen and (min-width:640px){}@media all and (min-width:720px){}@media all and (min-width:640px){}[bgcolor]{color:#333}@media (prefers-color-scheme:dark){}@media (prefers-color-scheme:dark){}.oo-ui-buttonElement{display:inline-block;line-height:normal;vertical-align:middle}.oo-ui-buttonElement>.oo-ui-buttonElement-button{cursor:pointer;display:inline-block;box-sizing:border-box;font-family:inherit;font-size:inherit;white-space:nowrap;-webkit-touch-callout:none;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}.oo-ui-buttonElement>.oo-ui-buttonElement-button::-moz-focus-inner{border-color:transparent;padding:0}.oo-ui-buttonElement-framed>.oo-ui-buttonElement-button{vertical-align:top;text-align:center}.oo-ui-buttonElement>.oo-ui-buttonElement-button{position:relative;min-height:32px;font-weight:700;text-decoration:none}.oo-ui-buttonElement.oo-ui-labelElement>.oo-ui-buttonElement-button{line-height:1}.oo-ui-buttonElement.oo-ui-labelElement>.oo-ui-buttonElement-button>.oo-ui-labelElement-label{line-height:1.42857143em}.oo-ui-buttonElement.oo-ui-widget-enabled>.oo-ui-buttonElement-button{transition-property:background-color,color,border-color,box-shadow;transition-duration:100ms}.oo-ui-buttonElement.oo-ui-widget-enabled>.oo-ui-buttonElement-button:focus{outline:1px solid transparent}.oo-ui-buttonElement-framed>.oo-ui-buttonElement-button{border-style:solid;border-width:1px;border-radius:2px;padding-left:12px;padding-right:12px}.oo-ui-buttonElement-framed.oo-ui-labelElement>.oo-ui-buttonElement-button{padding-top:5px;padding-bottom:5px}.oo-ui-buttonElement-framed.oo-ui-widget-enabled>.oo-ui-buttonElement-button:hover{background-color:#fff;color:#404244;border-color:#a2a9b1}.oo-ui-buttonElement-framed.oo-ui-widget-enabled>.oo-ui-buttonElement-button:focus{border-color:#36c;box-shadow:inset 0 0 0 1px #36c}.oo-ui-buttonElement-framed.oo-ui-widget-enabled>.oo-ui-buttonElement-button:active,.oo-ui-buttonElement-framed.oo-ui-widget-enabled.oo-ui-buttonElement-pressed>.oo-ui-buttonElement-button{background-color:#eaecf0;color:#000;border-color:#72777d;box-shadow:none}.oo-ui-buttonElement-framed.oo-ui-widget-enabled.oo-ui-flaggedElement-progressive>.oo-ui-buttonElement-button:hover{background-color:#fff;border-color:#447ff5}.oo-ui-buttonElement-framed.oo-ui-widget-enabled.oo-ui-flaggedElement-progressive>.oo-ui-buttonElement-button:focus{border-color:#36c;box-shadow:inset 0 0 0 1px #36c;outline:1px solid transparent}.oo-ui-buttonElement-framed.oo-ui-widget-enabled.oo-ui-flaggedElement-progressive>.oo-ui-buttonElement-button:active,.oo-ui-buttonElement-framed.oo-ui-widget-enabled.oo-ui-flaggedElement-progressive.oo-ui-buttonElement-pressed>.oo-ui-buttonElement-button,.oo-ui-buttonElement-framed.oo-ui-widget-enabled.oo-ui-flaggedElement-progressive.oo-ui-buttonElement-active>.oo-ui-buttonElement-button,.oo-ui-buttonElement-framed.oo-ui-widget-enabled.oo-ui-flaggedElement-progressive.oo-ui-popupToolGroup-active>.oo-ui-buttonElement-button{background-color:#eff3fa;color:#2a4b8d;border-color:#2a4b8d;box-shadow:none}.oo-ui-buttonElement-framed.oo-ui-widget-enabled.oo-ui-flaggedElement-primary.oo-ui-flaggedElement-progressive>.oo-ui-buttonElement-button{color:#fff;background-color:#36c;border-color:#36c}.oo-ui-buttonElement-framed.oo-ui-widget-enabled.oo-ui-flaggedElement-primary.oo-ui-flaggedElement-progressive>.oo-ui-buttonElement-button:hover{background-color:#447ff5;border-color:#447ff5}.oo-ui-buttonElement-framed.oo-ui-widget-enabled.oo-ui-flaggedElement-primary.oo-ui-flaggedElement-progressive>.oo-ui-buttonElement-button:focus{border-color:#36c;box-shadow:inset 0 0 0 1px #36c,inset 0 0 0 2px #fff;outline:1px solid transparent}.oo-ui-buttonElement-framed.oo-ui-widget-enabled.oo-ui-flaggedElement-primary.oo-ui-flaggedElement-progressive>.oo-ui-buttonElement-button:active,.oo-ui-buttonElement-framed.oo-ui-widget-enabled.oo-ui-flaggedElement-primary.oo-ui-flaggedElement-progressive.oo-ui-buttonElement-pressed>.oo-ui-buttonElement-button,.oo-ui-buttonElement-framed.oo-ui-widget-enabled.oo-ui-flaggedElement-primary.oo-ui-flaggedElement-progressive.oo-ui-buttonElement-active>.oo-ui-buttonElement-button,.oo-ui-buttonElement-framed.oo-ui-widget-enabled.oo-ui-flaggedElement-primary.oo-ui-flaggedElement-progressive.oo-ui-popupToolGroup-active>.oo-ui-buttonElement-button{color:#fff;background-color:#2a4b8d;border-color:#2a4b8d;box-shadow:none}.oo-ui-labelElement .oo-ui-labelElement-label{box-sizing:border-box}@media (forced-colors:active) and (prefers-color-scheme:dark){}@media (forced-colors:active) and (prefers-color-scheme:dark){}@keyframes oo-ui-pendingElement-stripes{0%{background-position:-1.4285714em 0}100%{background-position:0 0}}.oo-ui-buttonWidget{margin-right:8px}.oo-ui-buttonWidget:last-child{margin-right:0}@supports (filter:drop-shadow(0 0 0)){.oo-ui-popupWidget{filter:drop-shadow(0 2px 1px rgba(0,0,0,0.3));transform:translateZ(0)}.oo-ui-popupWidget-popup{box-shadow:none}}@media screen and (min-width:0){}@keyframes oo-ui-progressBarWidget-slide{from{transform:translate(-100%)}to{transform:translate(300%)}}.vector-icon.mw-ui-icon-wikimedia-language-progressive{background-image:url(data:image/svg+xml;base64,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)}.vector-icon.mw-ui-icon-wikimedia-ellipsis{background-image:url(data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiPz4KPHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyMCIgaGVpZ2h0PSIyMCIgdmlld0JveD0iMCAwIDIwIDIwIj48dGl0bGU+CgkJZWxsaXBzaXMKCTwvdGl0bGU+PGcgZmlsbD0iIzAwMCI+PGNpcmNsZSBjeD0iMTAiIGN5PSIxMCIgcj0iMiIvPjxjaXJjbGUgY3g9IjMiIGN5PSIxMCIgcj0iMiIvPjxjaXJjbGUgY3g9IjE3IiBjeT0iMTAiIHI9IjIiLz48L2c+PC9zdmc+Cg==)}.vector-icon.mw-ui-icon-wikimedia-menu{background-image:url(data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiPz4KPHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyMCIgaGVpZ2h0PSIyMCIgdmlld0JveD0iMCAwIDIwIDIwIj48dGl0bGU+CgkJbWVudQoJPC90aXRsZT48ZyBmaWxsPSIjMDAwIj48cGF0aCBkPSJNMSAzdjJoMThWM3ptMCA4aDE4VjlIMXptMCA2aDE4di0ySDF6Ii8+PC9nPjwvc3ZnPgo=)}@media (prefers-reduced-motion:reduce){*,::before,::after{animation-delay:-0.01ms!important;animation-duration:0.01ms!important;animation-iteration-count:1!important;scroll-behavior:auto!important;transition-duration:0ms!important}}body{margin:0}main{display:block}hr{box-sizing:content-box;height:0;overflow:visible}@supports (text-decoration:underline dotted){abbr[title]{border-bottom:0;text-decoration:underline dotted}}sup{line-height:1}img{border:0}button,input{margin:0}button::-moz-focus-inner,[type="button"]::-moz-focus-inner,[type="reset"]::-moz-focus-inner,[type="submit"]::-moz-focus-inner{border-style:none;padding:0}@media all and (max-width:calc(640px - 1px)){body.skin--responsive div.tright,body.skin--responsive div.floatright,body.skin--responsive table.floatright{clear:both;float:none}}@media all and (max-width:calc(640px - 1px)){body.skin--responsive div.tleft,body.skin--responsive div.floatleft,body.skin--responsive table.floatleft{clear:both;float:none}}@media all and (max-width:calc(640px - 1px)){body.skin--responsive .mw-parser-output .thumb .thumbinner{display:flex;justify-content:center;flex-wrap:wrap;align-content:flex-start;flex-direction:column}body.skin--responsive .mw-parser-output .thumb .thumbinner>.thumbcaption{justify-content:space-between;width:100%;flex:1 0 100%;order:1;display:block}}@media screen{.mw-parser-output a.extiw,.mw-parser-output a.external{color:var(--color-progressive,#36c)}.mw-parser-output a.extiw:visited,.mw-parser-output a.external:visited{color:#795cb2}.mw-parser-output a.extiw:active,.mw-parser-output a.external:active{color:#faa700}.mw-body-content::after{clear:both;content:"";display:block}@media all and (max-width:calc(640px - 1px)){.mw-parser-output{}.mw-parser-output table{display:block;overflow:auto;max-width:100%}.mw-parser-output .noresize table{display:table}}@media all and (max-width:calc(640px - 1px)){body.skin--responsive .wikitable{float:none;margin-left:0;margin-right:0}}#catlinks{text-align:left}.catlinks{background-color:var(--background-color-neutral-subtle,#f8f9fa);margin-top:1em;border:1px solid var(--border-color-base,#a2a9b1);padding:5px;clear:both}.catlinks ul{display:inline;margin:0;padding:0;list-style:none}.catlinks li{display:inline-block;line-height:1.25em;margin:0.125em 0;border-left:1px solid var(--border-color-base,#a2a9b1);padding:0 0.5em}.catlinks li:first-child{border-left:0;padding-left:0.25em}a{text-decoration:none;color:var(--color-progressive,#36c);background:none}a:not([href]){cursor:pointer}a:visited{color:#795cb2}a:active{color:#faa700}a:hover,a:focus{text-decoration:underline}a:lang(ar),a:lang(kk-arab),a:lang(mzn),a:lang(ps),a:lang(ur){text-decoration:none}img{border:0;vertical-align:middle}hr{height:1px;background-color:var(--border-color-base,#a2a9b1);border:0;margin:0.2em 0}h1,h3,h4{color:var(--color-emphasized,#000);font-weight:bold;margin:0;padding-top:0.5em;padding-bottom:0.17em;overflow:hidden}h1{margin-bottom:0.6em;border-bottom:1px solid var(--border-color-base,#a2a9b1)}h3,h4{margin-bottom:0.3em}h1{font-size:188%;font-weight:normal}h3{font-size:128%}h4{font-size:116%}p{margin:0.4em 0 0.5em 0}p img{margin:0}ul{margin:0.3em 0 0 1.6em;padding:0}ol{list-style-image:none}li{margin-bottom:0.1em}dl{margin-top:0.2em;margin-bottom:0.5em}dd{margin-bottom:0.1em}table{font-size:100%}form{border:0;margin:0}.center{width:100%;text-align:center}*.center *{margin-left:auto;margin-right:auto}@counter-style meetei{system:numeric;symbols:"꯰""꯱""꯲""꯳""꯴""꯵""꯶""꯷""꯸""꯹";suffix:") "}@counter-style santali{system:numeric;symbols:"᱐""᱑""᱒""᱓""᱔""᱕""᱖""᱗""᱘""᱙"}@counter-style myanmar_with_period{system:numeric;symbols:"၀""၁""၂""၃""၄""၅""၆""၇""၈""၉";suffix:"။ "}ol:lang(azb) li,ol:lang(bcc) li,ol:lang(bgn) li,ol:lang(bqi) li,ol:lang(fa) li,ol:lang(glk) li,ol:lang(kk-arab) li,ol:lang(lrc) li,ol:lang(luz) li,ol:lang(mzn) li{list-style-type:persian}ol:lang(ckb) li,ol:lang(sdh) li{list-style-type:arabic-indic}ol:lang(hi) li,ol:lang(mai) li,ol:lang(mr) li,ol:lang(ne) li{list-style-type:devanagari}ol:lang(as) li,ol:lang(bn) li{list-style-type:bengali}ol:lang(mni) li{list-style-type:meetei}ol:lang(or) li{list-style-type:oriya}ol:lang(sat) li{list-style-type:santali}ol:lang(blk) li,ol:lang(kjp) li,ol:lang(ksw) li,ol:lang(mnw) li,ol:lang(my) li,ol:lang(shn) li{list-style-type:myanmar_with_period}.mw-content-ltr ol{margin:0.3em 0 0 3.2em;padding:0}.mw-content-ltr dd{margin-left:1.6em;margin-right:0}.mw-heading1:lang(anp),.mw-heading1:lang(as),.mw-heading1:lang(bh),.mw-heading1:lang(bho),.mw-heading1:lang(blk),.mw-heading1:lang(bn),.mw-heading1:lang(ccp),.mw-heading1:lang(gu),.mw-heading1:lang(hi),.mw-heading1:lang(kjp),.mw-heading1:lang(kn),.mw-heading1:lang(ks),.mw-heading1:lang(ksw),.mw-heading1:lang(mag),.mw-heading1:lang(ml),.mw-heading1:lang(mr),.mw-heading1:lang(my),.mw-heading1:lang(mai),.mw-heading1:lang(mnw),.mw-heading1:lang(nit),.mw-heading1:lang(new),.mw-heading1:lang(or),.mw-heading1:lang(pa),.mw-heading1:lang(pi),.mw-heading1:lang(rki),.mw-heading1:lang(sa),.mw-heading1:lang(shn),.mw-heading1:lang(syl),.mw-heading1:lang(ta),.mw-heading1:lang(te),h1:lang(anp),h1:lang(as),h1:lang(bh),h1:lang(bho),h1:lang(blk),h1:lang(bn),h1:lang(ccp),h1:lang(gu),h1:lang(hi),h1:lang(kjp),h1:lang(kn),h1:lang(ks),h1:lang(ksw),h1:lang(mag),h1:lang(ml),h1:lang(mr),h1:lang(my),h1:lang(mai),h1:lang(mnw),h1:lang(nit),h1:lang(new),h1:lang(or),h1:lang(pa),h1:lang(pi),h1:lang(rki),h1:lang(sa),h1:lang(shn),h1:lang(syl),h1:lang(ta),h1:lang(te){line-height:1.6em!important}.mw-heading:lang(anp),.mw-heading:lang(as),.mw-heading:lang(bh),.mw-heading:lang(bho),.mw-heading:lang(blk),.mw-heading:lang(bn),.mw-heading:lang(ccp),.mw-heading:lang(gu),.mw-heading:lang(hi),.mw-heading:lang(kjp),.mw-heading:lang(kn),.mw-heading:lang(ks),.mw-heading:lang(ksw),.mw-heading:lang(mag),.mw-heading:lang(ml),.mw-heading:lang(mr),.mw-heading:lang(my),.mw-heading:lang(mai),.mw-heading:lang(mnw),.mw-heading:lang(nit),.mw-heading:lang(new),.mw-heading:lang(or),.mw-heading:lang(pa),.mw-heading:lang(pi),.mw-heading:lang(rki),.mw-heading:lang(sa),.mw-heading:lang(shn),.mw-heading:lang(syl),.mw-heading:lang(ta),.mw-heading:lang(te),h2:lang(anp),h2:lang(as),h2:lang(bh),h2:lang(bho),h2:lang(blk),h2:lang(bn),h2:lang(ccp),h2:lang(gu),h2:lang(hi),h2:lang(kjp),h2:lang(kn),h2:lang(ks),h2:lang(ksw),h2:lang(mag),h2:lang(ml),h2:lang(mr),h2:lang(my),h2:lang(mai),h2:lang(mnw),h2:lang(nit),h2:lang(new),h2:lang(or),h2:lang(pa),h2:lang(pi),h2:lang(rki),h2:lang(sa),h2:lang(shn),h2:lang(syl),h2:lang(ta),h2:lang(te),h3:lang(anp),h3:lang(as),h3:lang(bh),h3:lang(bho),h3:lang(blk),h3:lang(bn),h3:lang(ccp),h3:lang(gu),h3:lang(hi),h3:lang(kjp),h3:lang(kn),h3:lang(ks),h3:lang(ksw),h3:lang(mag),h3:lang(ml),h3:lang(mr),h3:lang(my),h3:lang(mai),h3:lang(mnw),h3:lang(nit),h3:lang(new),h3:lang(or),h3:lang(pa),h3:lang(pi),h3:lang(rki),h3:lang(sa),h3:lang(shn),h3:lang(syl),h3:lang(ta),h3:lang(te),h4:lang(anp),h4:lang(as),h4:lang(bh),h4:lang(bho),h4:lang(blk),h4:lang(bn),h4:lang(ccp),h4:lang(gu),h4:lang(hi),h4:lang(kjp),h4:lang(kn),h4:lang(ks),h4:lang(ksw),h4:lang(mag),h4:lang(ml),h4:lang(mr),h4:lang(my),h4:lang(mai),h4:lang(mnw),h4:lang(nit),h4:lang(new),h4:lang(or),h4:lang(pa),h4:lang(pi),h4:lang(rki),h4:lang(sa),h4:lang(shn),h4:lang(syl),h4:lang(ta),h4:lang(te),h5:lang(anp),h5:lang(as),h5:lang(bh),h5:lang(bho),h5:lang(blk),h5:lang(bn),h5:lang(ccp),h5:lang(gu),h5:lang(hi),h5:lang(kjp),h5:lang(kn),h5:lang(ks),h5:lang(ksw),h5:lang(mag),h5:lang(ml),h5:lang(mr),h5:lang(my),h5:lang(mai),h5:lang(mnw),h5:lang(nit),h5:lang(new),h5:lang(or),h5:lang(pa),h5:lang(pi),h5:lang(rki),h5:lang(sa),h5:lang(shn),h5:lang(syl),h5:lang(ta),h5:lang(te),h6:lang(anp),h6:lang(as),h6:lang(bh),h6:lang(bho),h6:lang(blk),h6:lang(bn),h6:lang(ccp),h6:lang(gu),h6:lang(hi),h6:lang(kjp),h6:lang(kn),h6:lang(ks),h6:lang(ksw),h6:lang(mag),h6:lang(ml),h6:lang(mr),h6:lang(my),h6:lang(mai),h6:lang(mnw),h6:lang(nit),h6:lang(new),h6:lang(or),h6:lang(pa),h6:lang(pi),h6:lang(rki),h6:lang(sa),h6:lang(shn),h6:lang(syl),h6:lang(ta),h6:lang(te){line-height:1.4em}.mw-heading1:lang(ne),h1:lang(ne){line-height:1.9}}:root,.skin-invert,.notheme{--color-base:#202122;--color-base--hover:#404244;--color-emphasized:#000;--color-subtle:#54595d;--color-placeholder:#72777d;--color-disabled:#72777d;--color-inverted:#fff;--color-inverted-fixed:#fff;--color-progressive:#36c;--color-progressive--hover:#447ff5;--color-progressive--active:#2a4b8d;--color-progressive--focus:#36c;--color-destructive:#d73333;--color-destructive--hover:#ff4242;--color-destructive--active:#b32424;--color-destructive--focus:#36c;--color-visited:#6b4ba1;--color-destructive--visited:#a55858;--color-error:#d73333;--color-warning:#edab00;--color-success:#14866d;--color-notice:#202122;--color-content-added:#36c;--color-content-removed:#a66200;--color-base--subtle:#72777d;--color-link-red:#d73333;--color-link-red--hover:#ff4242;--color-link-red--active:#b32424;--color-link-red--focus:#36c;--color-link-red--visited:#a55858;--filter-invert-icon:0;--filter-invert-primary-button-icon:1;--box-shadow-color-base:#000;--box-shadow-color-progressive--active:#2a4b8d;--box-shadow-color-progressive--focus:#36c;--box-shadow-color-progressive-selected:#36c;--box-shadow-color-progressive-selected--hover:#447ff5;--box-shadow-color-progressive-selected--active:#2a4b8d;--box-shadow-color-destructive--focus:#36c;--box-shadow-color-inverted:#fff;--box-shadow-color-transparent:transparent;--background-color-interactive:#eaecf0;--background-color-interactive-subtle:#f8f9fa;--background-color-disabled:#c8ccd1;--background-color-disabled-subtle:#eaecf0;--background-color-progressive:#36c;--background-color-progressive--hover:#447ff5;--background-color-progressive--active:#2a4b8d;--background-color-progressive--focus:#36c;--background-color-progressive-subtle:#eaf3ff;--background-color-destructive:#d73333;--background-color-destructive--hover:#ff4242;--background-color-destructive--active:#b32424;--background-color-destructive--focus:#36c;--background-color-destructive-subtle:#fee7e6;--background-color-error:#d73333;--background-color-error--hover:#ff4242;--background-color-error--active:#b32424;--background-color-error-subtle:#fee7e6;--background-color-warning-subtle:#fef6e7;--background-color-success-subtle:#d5fdf4;--background-color-notice-subtle:#eaecf0;--background-color-content-added:#6d8af2;--background-color-content-removed:#ad822b;--background-color-backdrop-light:rgba(255,255,255,0.65);--background-color-backdrop-dark:rgba(0,0,0,0.65);--background-color-base:#fff;--background-color-base-fixed:#fff;--background-color-neutral:#eaecf0;--background-color-neutral-subtle:#f8f9fa;--background-color-transparent:transparent;--background-color-button-quiet--hover:rgba(0,24,73,0.027);--background-color-button-quiet--active:rgba(0,24,73,0.082);--background-color-input-binary--checked:#36c;--background-color-tab-list-item-framed--hover:rgba(255,255,255,0.3);--background-color-tab-list-item-framed--active:rgba(255,255,255,0.65);--opacity-icon-base:0.87;--opacity-icon-base--hover:0.74;--opacity-icon-base--selected:1;--opacity-icon-base--disabled:0.51;--opacity-icon-placeholder:0.51;--opacity-icon-subtle:0.67;--border-color-base:#a2a9b1;--border-color-interactive:#72777d;--border-color-disabled:#c8ccd1;--border-color-subtle:#c8ccd1;--border-color-muted:#eaecf0;--border-color-inverted:#fff;--border-color-progressive:#36c;--border-color-progressive--hover:#447ff5;--border-color-progressive--active:#2a4b8d;--border-color-progressive--focus:#36c;--border-color-destructive:#d73333;--border-color-destructive--hover:#ff4242;--border-color-destructive--active:#b32424;--border-color-destructive--focus:#36c;--border-color-error:#b32424;--border-color-error--hover:#ff4242;--border-color-warning:#a66200;--border-color-success:#096450;--border-color-notice:#54595d;--border-color-content-added:#6d8af2;--border-color-content-removed:#ad822b;--border-color-transparent:transparent;--border-color-divider:#a2a9b1;--border-color-input--hover:#72777d;--border-color-input-binary:#72777d;--border-color-input-binary--hover:#447ff5;--border-color-input-binary--active:#2a4b8d;--border-color-input-binary--focus:#36c;--border-color-input-binary--checked:#36c;--border-base:1px solid #a2a9b1;--border-subtle:1px solid #c8ccd1;--border-progressive:1px solid #36c;--border-destructive:1px solid #d73333;--outline-color-progressive--focus:#36c}@media (prefers-color-scheme:dark){}.vector-feature-custom-font-size-clientpref-0{--font-size-medium:0.875rem;--line-height-medium:1.5714285}@media screen{html{scroll-padding-top:75px}body{background-color:var(--background-color-neutral-subtle,#f8f9fa);color:var(--color-base,#202122)}.mw-body{direction:ltr}.mw-body .firstHeading{word-wrap:break-word;margin-bottom:0}.mw-header{position:relative;z-index:3}#mw-content-text{margin-top:16px}.mw-indicators{z-index:1}.vector-page-titlebar{box-shadow:none}.vector-page-titlebar::after{clear:both;content:"";display:block}.vector-page-titlebar::after{content:"";display:block;position:absolute;bottom:0;left:0;right:0;height:1px;background-color:var(--border-color-base,#a2a9b1)}.vector-body-before-content{overflow:hidden}.vector-body-before-content .mw-indicators{margin-top:8px}.mw-body .mw-portlet-lang{float:right}.vector-body{position:relative;z-index:0}#contentSub:not(:empty),#contentSub2{font-size:0.875rem;color:var(--color-subtle,#54595d);width:auto;margin:8px 0 0}.mw-page-container{min-width:18.75em;max-width:99.75rem;box-sizing:border-box;position:relative;z-index:0;margin:0 auto;padding-top:0.05px;padding-left:1.5rem;padding-right:1.5rem;background-color:var(--background-color-base,#fff)}.vector-header-container{width:100%;display:flex;justify-content:center}.vector-header-container .mw-header{width:100%;min-height:3.125rem;background-color:var(--background-color-base,#fff);min-width:18.75em;max-width:99.75rem;padding-left:1.5rem;padding-right:1.5rem;box-sizing:border-box}html{touch-action:manipulation}.vector-feature-main-menu-pinned-disabled.vector-toc-not-available .mw-page-container-inner{grid-template-columns:minmax(0,1fr);grid-template-areas:"siteNotice""pageContent""columnStart""footer"}.vector-feature-main-menu-pinned-disabled.vector-toc-not-available .mw-page-container-inner .mw-body{justify-content:center}html,body{height:100%}:focus{outline-color:var(--outline-color-progressive--focus,#36c)}html{font-size:100%}html,body{font-family:sans-serif}ul{list-style-type:disc}.mw-jump-link:not(:focus){display:block;position:absolute!important;clip:rect(1px,1px,1px,1px);width:1px;height:1px;margin:-1px;border:0;padding:0;overflow:hidden;-webkit-user-select:none;-moz-user-select:none;user-select:none}.mw-body h1{font-family:"Linux Libertine","Georgia","Times","Source Serif Pro",serif;line-height:1.375}.mw-body h1:lang(ja),.mw-body .mw-heading1:lang(ja),.mw-body-content h1:lang(ja),.mw-body-content .mw-heading1:lang(ja),.mw-body-content h2:lang(ja),.mw-body-content .mw-heading2:lang(ja),.mw-body h1:lang(he),.mw-body .mw-heading1:lang(he),.mw-body-content h1:lang(he),.mw-body-content .mw-heading1:lang(he),.mw-body-content h2:lang(he),.mw-body-content .mw-heading2:lang(he),.mw-body h1:lang(ko),.mw-body .mw-heading1:lang(ko),.mw-body-content h1:lang(ko),.mw-body-content .mw-heading1:lang(ko),.mw-body-content h2:lang(ko),.mw-body-content .mw-heading2:lang(ko){font-family:sans-serif}.mw-body h1:lang(ckb),.mw-body .mw-heading1:lang(ckb),.mw-body-content h1:lang(ckb),.mw-body-content .mw-heading1:lang(ckb),.mw-body-content h2:lang(ckb),.mw-body-content .mw-heading2:lang(ckb){font-family:"Scheherazade","Linux Libertine","Georgia","Times","Source Serif Pro",serif}.mw-body h1:lang(my),.mw-body .mw-heading1:lang(my),.mw-body-content h1:lang(my),.mw-body-content .mw-heading1:lang(my),.mw-body-content h2:lang(my),.mw-body-content .mw-heading2:lang(my){line-height:normal}.mw-body h1{font-size:1.8em}.mw-body h3,.mw-body h4{padding-bottom:0;line-height:1.6}.mw-body h3,.mw-body h4{margin:0.25em 0 0.25em 0}.mw-body h3{font-size:1.2em}.mw-body h3,.mw-body h4{font-weight:bold}.mw-body h4{font-size:100%}.mw-body p{padding-bottom:0.5em;margin:0.5em 0 0 0}.mw-body ul,.mw-body ol{margin-top:0}.vector-body{font-size:var(--font-size-medium);line-height:var(--line-height-medium)}.mw-parser-output a{word-wrap:break-word}.mw-parser-output a.external{background-image:url(data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiPz4KPHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxMiIgaGVpZ2h0PSIxMiIgdmlld0JveD0iMCAwIDEyIDEyIj4KCTx0aXRsZT4KCQlleHRlcm5hbCBsaW5rCgk8L3RpdGxlPgoJPHBhdGggZmlsbD0iIzM2YyIgZD0iTTYgMWg1djVMOC44NiAzLjg1IDQuNyA4IDQgNy4zbDQuMTUtNC4xNnpNMiAzaDJ2MUgydjZoNlY4aDF2MmExIDEgMCAwIDEtMSAxSDJhMSAxIDAgMCAxLTEtMVY0YTEgMSAwIDAgMSAxLTEiLz4KPC9zdmc+Cg==);background-position:center right;background-repeat:no-repeat;background-size:0.857em;padding-right:1em}.vector-dropdown{position:relative}.vector-dropdown .vector-dropdown-label:not(.cdx-button--icon-only){display:inline-flex;align-items:center}.vector-dropdown .vector-dropdown-label:not(.cdx-button--icon-only)::after{content:"";background:var(--sf-img-4) 100% 50%no-repeat;width:0.75rem;height:0.75rem;margin-left:7px}.vector-dropdown .vector-dropdown-checkbox{cursor:pointer;position:absolute;top:0;left:0;z-index:1;opacity:0;width:100%;height:100%;margin:0;padding:0}.vector-dropdown .vector-dropdown-checkbox:checked~.vector-dropdown-content{opacity:1;visibility:visible;height:auto}.vector-dropdown .vector-dropdown-content{position:absolute;top:100%;left:-1px;opacity:0;height:0;visibility:hidden;overflow-x:hidden;overflow-y:auto;z-index:50;background-color:var(--background-color-base,#fff);padding:16px 16px;font-size:0.875rem;box-shadow:0 2px 6px -1px rgba(0,0,0,0.2);transition-property:opacity;transition-duration:100ms;width:max-content;max-width:200px;max-height:75vh}.vector-pinnable-element .vector-menu-heading{color:var(--color-subtle,#54595d);font-weight:normal;cursor:default;padding:6px 0;margin:6px 0;border-bottom:1px solid var(--background-color-interactive,#eaecf0)}.vector-pinnable-element .mw-list-item,.vector-dropdown-content .mw-list-item{padding:0}.vector-pinnable-element .mw-list-item a,.vector-dropdown-content .mw-list-item a{display:flex;align-items:center;padding:6px 0;color:var(--color-progressive,#36c)}.vector-pinnable-element .mw-list-item a:not(.mw-selflink):visited,.vector-dropdown-content .mw-list-item a:not(.mw-selflink):visited{color:var(--color-progressive,#36c)}.vector-pinnable-element{font-size:0.875rem}@supports (display:grid){.vector-pinned-container{display:block}}.vector-sticky-pinned-container{overflow-x:hidden;overflow-y:auto;position:sticky;top:24px;contain:paint;box-sizing:border-box;max-height:calc(100vh - (24px*2))}.vector-sticky-pinned-container::after{content:"";display:block;position:sticky;bottom:0;left:0;right:0;height:16px;background:linear-gradient(rgba(255,255,255,0),var(--background-color-base,#fff));background-repeat:no-repeat;pointer-events:none}.vector-pinnable-header{padding-bottom:6px;margin-bottom:6px;border-bottom:1px solid var(--background-color-interactive,#eaecf0);line-height:1.6}.vector-pinnable-header-label{display:inline-block;vertical-align:middle;font-size:0.875rem;margin:0 0.5rem 0 0!important;padding:0;border:0;font-weight:bold}.vector-pinnable-header-toggle-button{display:none;border:0;padding:4px 8px;background-color:var(--background-color-interactive,#eaecf0);color:var(--color-base,#202122);cursor:pointer;text-align:left;font-size:0.75rem;border-radius:2px}.vector-pinnable-header-toggle-button:hover{background-color:var(--background-color-neutral-subtle,#f8f9fa)}.cdx-button:not(.cdx-button--icon-only) .vector-icon{margin-right:6px}.cdx-button{justify-content:center}.cdx-button.cdx-button--icon-only span+span{display:block;position:absolute!important;clip:rect(1px,1px,1px,1px);width:1px;height:1px;margin:-1px;border:0;padding:0;overflow:hidden}input:focus:not(:active)+.cdx-button:not(.cdx-button--action-progressive){border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c)}input:hover+.cdx-button.cdx-button--action-progressive{background-color:var(--background-color-progressive-subtle,#eaf3ff);color:var(--color-progressive--hover,#447ff5)}input:active+.cdx-button.cdx-button--action-progressive{background-color:var(--background-color-progressive--active,#2a4b8d);color:var(--color-inverted,#fff);border-color:var(--border-color-progressive--active,#2a4b8d)}input:focus:not(:active)+.cdx-button.cdx-button--action-progressive{border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c) inset 0 0 0 2px var(--box-shadow-color-inverted,#fff)}.vector-page-titlebar .mw-portlet-lang{box-sizing:border-box;flex-shrink:0}.vector-page-titlebar .mw-portlet-lang .vector-dropdown-label{user-select:none;opacity:1}.vector-page-titlebar .mw-portlet-lang .vector-dropdown-label .vector-dropdown-label-text{font-size:0.875em}.vector-page-titlebar .mw-portlet-lang .vector-dropdown-label.cdx-button--action-progressive.cdx-button--weight-quiet::after{background-image:url(data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiPz4KPHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxMiIgaGVpZ2h0PSIxMiIgdmlld0JveD0iMCAwIDEyIDEyIj4KCTxwYXRoIGZpbGw9IiMzNmMiIGQ9Im0xMS4wNSAzLjk5Ni0uOTY1LTEuMDUzLTQuMDM1IDMuODYtMy45NDctMy44NkwxLjA1IDMuOTk2bDUgNXoiLz4KPC9zdmc+Cg==);opacity:1}.vector-page-titlebar .mw-portlet-lang .vector-dropdown-checkbox:active+.vector-dropdown-label.cdx-button--action-progressive.cdx-button--weight-quiet .vector-icon{filter:brightness(0) invert(1)}.vector-page-titlebar .mw-portlet-lang .vector-dropdown-checkbox:active+.vector-dropdown-label.cdx-button--action-progressive.cdx-button--weight-quiet::after{background-image:url(data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiPz4KPHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxMiIgaGVpZ2h0PSIxMiIgdmlld0JveD0iMCAwIDEyIDEyIj4KCTxwYXRoIGZpbGw9IiNmZmYiIGQ9Im0xMS4wNSAzLjk5Ni0uOTY1LTEuMDUzLTQuMDM1IDMuODYtMy45NDctMy44NkwxLjA1IDMuOTk2bDUgNXoiLz4KPC9zdmc+Cg==)}.mw-interlanguage-selector{display:inline-flex;align-items:center}.mw-interlanguage-selector::after{content:"";background:var(--sf-img-4) 100% 50%no-repeat;width:0.75rem;height:0.75rem;margin-left:7px}.client-js .action-view .vector-dropdown>.mw-portlet-lang-heading-0{display:flex}.vector-user-links{display:flex;align-items:center;position:relative;justify-content:flex-end;flex-shrink:1}.vector-user-links .mw-list-item,.vector-user-links .vector-dropdown-label{margin:0 4px}.vector-user-links .vector-dropdown-content .mw-list-item{margin:0}.vector-user-menu .vector-dropdown-content{left:auto;right:0}.vector-user-links-main{display:flex;align-items:center}.vector-user-links-main .vector-menu-content-list{display:flex;align-items:center;font-size:0.875em}#p-user-menu-anon-editor .vector-menu-heading{display:block}#p-user-menu-anon-editor .vector-menu-heading a::before{content:"("}#p-user-menu-anon-editor .vector-menu-heading a::after{content:")"}.mw-header{display:flex;flex-wrap:nowrap;align-items:center;padding-top:8px;padding-bottom:8px}.mw-header .vector-header-start,.mw-header .vector-header-end{display:flex;align-items:center}.mw-header .vector-header-end{flex-grow:1}.mw-header .vector-typeahead-search-container{display:none}.vector-icon{min-width:20px;min-height:20px;width:1.25rem;height:1.25rem;display:inline-block;vertical-align:text-bottom;font-size:14px;background-repeat:no-repeat;background-position:center}@supports not ((-webkit-mask-image:none) or (mask-image:none)){.vector-icon{background-position:center;background-repeat:no-repeat;background-size:calc(max(1.25rem,20px))}}@supports (-webkit-mask-image:none) or (mask-image:none){.vector-icon{-webkit-mask-size:calc(max(1.25rem,20px));mask-size:calc(max(1.25rem,20px));-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-position:center;mask-position:center}}.vector-icon:not(.mw-ui-icon-wikimedia-language-progressive){}.mw-indicators{font-size:0.875em;line-height:1.6;position:relative;float:right;display:flex;column-gap:8px;flex-wrap:wrap}.mw-indicator{display:inline-block}.mw-footer-container{padding-top:50px;padding-bottom:82px}.mw-footer{direction:ltr;border-top:var(--border-base,1px solid #a2a9b1);padding:0.75em 0}.mw-footer ul{list-style:none;margin:0;padding:0}.mw-footer li{color:var(--color-base,#202122);margin:0;padding:0.5em 0;font-size:0.75em}#footer-icons{float:right}#footer-icons li{float:left;margin-left:0.5em;line-height:2;text-align:right}#footer-info li{line-height:1.4}#footer-places li{float:left;margin-right:1em;line-height:2}.vector-menu .vector-menu-content-list{list-style:none;margin:0}.vector-menu-tabs{float:left}.vector-menu-tabs .mw-list-item a{color:var(--color-progressive,#36c)}.vector-menu-tabs .mw-list-item.vector-tab-noicon a{border-bottom:2px solid var(--border-color-transparent,transparent)}.vector-menu-tabs .mw-list-item.vector-tab-noicon a:focus,.vector-menu-tabs .mw-list-item.vector-tab-noicon a:hover{text-decoration:none;border-bottom:2px solid}.vector-menu-tabs .mw-list-item.new a,.vector-menu-tabs .mw-list-item.new a:visited{color:var(--color-link-red,#d73333)}.vector-menu-tabs .mw-list-item.selected a,.vector-menu-tabs .mw-list-item.selected a:visited{color:var(--color-base,#202122);border-bottom:2px solid}.vector-menu-tabs .mw-list-item.vector-tab-noicon,.vector-page-toolbar-container .vector-dropdown{margin:0 8px}.vector-menu-tabs .mw-list-item,.vector-page-toolbar-container .vector-dropdown-label{white-space:nowrap}.vector-menu-tabs .mw-list-item,.vector-page-toolbar-container .vector-dropdown{float:left;margin-bottom:0}.vector-menu-tabs .mw-list-item>a,.vector-page-toolbar-container .vector-dropdown .vector-dropdown-label{display:inline-flex;position:relative;cursor:pointer;font-weight:normal}.vector-page-toolbar-container .vector-dropdown .vector-dropdown-label{font-size:inherit;border:0}.vector-menu-tabs .mw-list-item.vector-tab-noicon>a,.vector-page-toolbar-container .vector-dropdown .vector-dropdown-label{padding:12px 0 7px 0;margin-bottom:-1px}.vector-page-titlebar{position:relative;display:flex;flex-wrap:nowrap;justify-content:flex-end;align-items:center}.vector-page-titlebar .firstHeading{flex-grow:1;padding:0;border:0}.vector-page-titlebar>.cdx-button:last-child,.vector-page-titlebar>.mw-portlet-lang:last-child{margin-right:-12px}.vector-page-toolbar-container{display:flex;font-size:0.875rem;box-shadow:0 1px var(--border-color-subtle,#c8ccd1);margin-bottom:1px}.vector-page-toolbar-container .mw-portlet-views{display:none}@supports not ((-webkit-mask-image:none) or (mask-image:none)){.vector-page-toolbar-container .vector-icon{background-position:center;background-repeat:no-repeat;background-size:calc(max(1rem,16px))}}@supports (-webkit-mask-image:none) or (mask-image:none){.vector-page-toolbar-container .vector-icon{-webkit-mask-size:calc(max(1rem,16px));mask-size:calc(max(1rem,16px));-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-position:center;mask-position:center}}#left-navigation{display:flex;margin-left:-8px;flex-grow:1}#right-navigation{display:flex;margin-right:-8px}#right-navigation .vector-dropdown-content{left:auto;right:0}.vector-search-box{font-size:0.875em;flex-grow:1}.vector-search-box .vector-typeahead-search-container{max-width:35.71428571em;margin-right:12px}#siteNotice{font-size:0.8em;margin:24px 0;position:relative;text-align:center}@keyframes rotate{from{transform:rotate(0deg)}to{transform:rotate(360deg)}}.vector-settings{position:fixed;bottom:8px;right:8px;z-index:1}.vector-settings ul{padding:0;list-style:none;display:flex;flex-direction:column-reverse;align-items:center;column-gap:8px;row-gap:8px}.vector-limited-width-toggle.cdx-button{display:none}}@media screen and (max-width:719px){.vector-header{flex-flow:column}.vector-header-start,.vector-header-end{width:100%}}@media screen and (min-width:1000px){.mw-page-container,.vector-header-container .mw-header{padding-left:2.75rem;padding-right:2.75rem}}@media screen and (min-width:1200px){.mw-page-container,.vector-header-container .mw-header{padding-left:3.25rem;padding-right:3.25rem}}@media screen and (min-width:1000px){.mw-page-container-inner{display:grid;column-gap:24px;grid-template:min-content 1fr min-content/12.25rem minmax(0,1fr);grid-template-areas:"siteNotice siteNotice""columnStart pageContent""footer footer"}.vector-sitenotice-container{grid-area:siteNotice}.vector-column-start{grid-area:columnStart;overflow-anchor:none}.mw-content-container{grid-area:pageContent}.mw-footer-container{grid-area:footer}.vector-column-start,.vector-column-end{margin-top:2.8rem;border-top:1px solid transparent}}@media screen and (min-width:1200px){.mw-page-container-inner{grid-template-columns:15.5rem minmax(0,1fr)}.mw-header{display:grid;column-gap:24px;grid-template:auto/15.5rem minmax(0,1fr);grid-template-areas:"headerStart headerEnd"}.mw-header .vector-header-start{grid-area:headerStart}.mw-header .vector-header-end{grid-area:headerEnd}}@media screen and (min-width:1000px){.mw-body{display:grid;grid-template:min-content min-content min-content 1fr/minmax(0,59.25rem) min-content;grid-template-areas:"titlebar-cx .""titlebar columnEnd""toolbar columnEnd""content columnEnd"}.mw-body .vector-page-titlebar{grid-area:titlebar}.mw-body .vector-page-toolbar{grid-area:toolbar}.mw-body #bodyContent{grid-area:content}.mw-body .vector-column-end{grid-area:columnEnd;overflow-anchor:none}.vector-feature-limited-width-content-disabled .mw-body{grid-template-columns:minmax(0,1fr) min-content}}@media screen and (max-width:999px){}@media screen and (min-width:1000px){}@media screen and (max-width:999px){}@media screen and (prefers-color-scheme:dark){}@media screen and (max-width:999px){.client-js .vector-sticky-pinned-container{display:none}}@media screen and (min-width:1000px){.client-js .vector-pinnable-header-unpinned .vector-pinnable-header-pin-button{display:inline-block}}@media screen and (min-width:720px){}@media screen and (max-width:719px){}@media screen and (max-width:999px){}@media screen and (max-width:999px){.vector-header .cdx-button.cdx-button--icon-only{min-height:44px;min-width:44px}}@media screen and (min-width:1000px){.vector-button-flush-left{margin-left:-6px}}@media screen and (max-width:999px){.vector-button-flush-left{margin-left:-12px}}@media screen and (min-width:1000px){.vector-button-flush-right{margin-right:-6px}}@media screen and (max-width:999px){.vector-button-flush-right{margin-right:-12px}}@media screen and (min-width:1400px){}@media screen and (prefers-color-scheme:dark){}@media screen and (prefers-color-scheme:dark){}@media screen and (min-width:720px){}@media screen and (max-width:719px){.vector-user-links-main .user-links-collapsible-item{display:none}}@media screen and (prefers-color-scheme:dark){}@media screen and (min-width:1200px){}@media screen and (min-width:320px){}@media screen and (min-width:1000px){}@media screen and (min-width:1000px){.mw-header .vector-typeahead-search-container{display:block}}@media screen and (max-width:719px){.mw-header #p-search,.mw-header .vector-header-end{margin-left:-6px}}@media screen and (max-width:999px){}@media screen and (prefers-color-scheme:dark){}@media screen and (min-width:720px){.vector-page-toolbar-container .mw-portlet-views:not(.emptyPortlet){display:block}}@media screen and (min-width:1200px){.client-js .vector-search-box.vector-search-box-auto-expand-width{margin-left:-24px}}@media screen and (min-width:1400px){.vector-limited-width-toggle.cdx-button{display:block}}@media all{.mw-logo{display:flex;height:100%;align-items:center;min-width:13.875em}.vector-feature-main-menu-pinned-disabled .mw-logo{margin-left:20px}.mw-logo-icon{float:left;margin-right:10px;width:3.125em;height:3.125em}.mw-logo-container{float:left;max-width:120px}.mw-logo-wordmark{display:block;margin:0 auto}}@media all and (min-width:720px){.mw-logo-container{max-width:none}}@supports not (((-webkit-mask-image:none) or (mask-image:none))){.cdx-thumbnail__placeholder__icon{background-position:center;background-repeat:no-repeat;background-size:max(1.25rem,20px)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-thumbnail__placeholder__icon{-webkit-mask-size:max(1.25rem,20px);mask-size:max(1.25rem,20px);-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-position:center;mask-position:center}}@supports not (((-webkit-mask-image:none) or (mask-image:none))){.cdx-thumbnail__placeholder__icon{background-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M19\ 3H1v14h18zM3\ 14l3.5-4.5\ 2.5\ 3L12.5\ 8l4.5\ 6z\"\/><path\ d=\"M19\ 5H1V3h18zm0\ 12H1v-2h18z\"\/><\/svg>);filter:invert(var(--filter-invert-icon,0));opacity:var(--opacity-icon-base,.87)}.cdx-button:not(.cdx-button--weight-quiet):disabled .cdx-thumbnail__placeholder__icon,.cdx-button--weight-primary.cdx-button--action-progressive .cdx-thumbnail__placeholder__icon,.cdx-button--weight-primary.cdx-button--action-destructive .cdx-thumbnail__placeholder__icon{filter:invert(var(--filter-invert-primary-button-icon,1))}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-thumbnail__placeholder__icon{-webkit-mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M19\ 3H1v14h18zM3\ 14l3.5-4.5\ 2.5\ 3L12.5\ 8l4.5\ 6z\"\/><path\ d=\"M19\ 5H1V3h18zm0\ 12H1v-2h18z\"\/><\/svg>);mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M19\ 3H1v14h18zM3\ 14l3.5-4.5\ 2.5\ 3L12.5\ 8l4.5\ 6z\"\/><path\ d=\"M19\ 5H1V3h18zm0\ 12H1v-2h18z\"\/><\/svg>);background-color:var(--color-placeholder,#72777d)}}@keyframes cdx-animation-progress-bar__bar{0%{transform:translate(-100%)}to{transform:translate(300%)}}.cdx-button::-moz-focus-inner{border:0;padding:0}.cdx-button--fake-button,.cdx-button--fake-button:hover,.cdx-button--fake-button:focus{text-decoration:none}.cdx-button:enabled,.cdx-button.cdx-button--fake-button--enabled{background-color:var(--background-color-interactive-subtle,#f8f9fa);color:var(--color-base,#202122);border-color:var(--border-color-base,#a2a9b1)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled .cdx-button__icon{background-color:var(--color-base,#202122)}}.cdx-button:enabled:hover,.cdx-button.cdx-button--fake-button--enabled:hover{background-color:var(--background-color-base,#fff);color:var(--color-base--hover,#404244);cursor:pointer}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled:hover .cdx-button__icon{background-color:var(--color-base--hover,#404244)}}.cdx-button:enabled:active,.cdx-button.cdx-button--fake-button--enabled:active,.cdx-button:enabled.cdx-button--is-active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--is-active{background-color:var(--background-color-interactive,#eaecf0);color:var(--color-emphasized,#000);border-color:var(--border-color-interactive,#72777d)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled:active .cdx-button__icon,.cdx-button:enabled.cdx-button--is-active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--is-active .cdx-button__icon{background-color:var(--color-emphasized,#000)}}.cdx-button:enabled:focus,.cdx-button.cdx-button--fake-button--enabled:focus{outline:1px solid transparent}.cdx-button:enabled:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c)}.cdx-button:enabled.cdx-button--action-progressive,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive{color:var(--color-progressive,#36c)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-progressive .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive .cdx-button__icon{background-color:var(--color-progressive,#36c)}}.cdx-button:enabled.cdx-button--action-progressive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:hover{color:var(--color-progressive--hover,#447ff5);border-color:var(--border-color-progressive--hover,#447ff5)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-progressive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:hover .cdx-button__icon{background-color:var(--color-progressive--hover,#447ff5)}}.cdx-button:enabled.cdx-button--action-progressive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:active,.cdx-button:enabled.cdx-button--action-progressive.cdx-button--is-active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive.cdx-button--is-active{background-color:var(--background-color-progressive-subtle,#eaf3ff);color:var(--color-progressive--active,#2a4b8d);border-color:var(--border-color-progressive--active,#2a4b8d)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button:enabled.cdx-button--action-progressive.cdx-button--is-active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive.cdx-button--is-active .cdx-button__icon{background-color:var(--color-progressive--active,#2a4b8d)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-destructive .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive .cdx-button__icon{background-color:var(--color-destructive,#d73333)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-destructive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:hover .cdx-button__icon{background-color:var(--color-destructive--hover,#ff4242)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button:enabled.cdx-button--action-destructive.cdx-button--is-active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive.cdx-button--is-active .cdx-button__icon{background-color:var(--color-destructive--active,#b32424)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive .cdx-button__icon{background-color:var(--color-inverted-fixed,#fff)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive:hover .cdx-button__icon{background-color:var(--color-inverted-fixed,#fff)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive.cdx-button--is-active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive.cdx-button--is-active .cdx-button__icon{background-color:var(--color-inverted-fixed,#fff)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive .cdx-button__icon{background-color:var(--color-inverted-fixed,#fff)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive:hover .cdx-button__icon{background-color:var(--color-inverted-fixed,#fff)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive.cdx-button--is-active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive.cdx-button--is-active .cdx-button__icon{background-color:var(--color-inverted-fixed,#fff)}}.cdx-button:enabled.cdx-button--weight-quiet,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet{background-color:var(--background-color-transparent,transparent);border-color:var(--border-color-transparent,transparent)}.cdx-button:enabled.cdx-button--weight-quiet:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet:hover{background-color:var(--background-color-button-quiet--hover,rgba(0,24,73,.027))}.cdx-button:enabled.cdx-button--weight-quiet:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet:active,.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--is-active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--is-active{background-color:var(--background-color-button-quiet--active,rgba(0,24,73,.082));color:var(--color-emphasized,#000);border-color:var(--border-color-interactive,#72777d)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet:active .cdx-button__icon,.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--is-active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--is-active .cdx-button__icon{background-color:var(--color-emphasized,#000)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive{color:var(--color-progressive,#36c)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive .cdx-button__icon{background-color:var(--color-progressive,#36c)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover{background-color:var(--background-color-progressive-subtle,#eaf3ff);color:var(--color-progressive--hover,#447ff5)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover .cdx-button__icon{background-color:var(--color-progressive--hover,#447ff5)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active,.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive.cdx-button--is-active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive.cdx-button--is-active{background-color:var(--background-color-progressive--active,#2a4b8d);color:var(--color-inverted-fixed,#fff);border-color:var(--border-color-progressive--active,#2a4b8d)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive.cdx-button--is-active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive.cdx-button--is-active .cdx-button__icon{background-color:var(--color-inverted,#fff)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive .cdx-button__icon{background-color:var(--color-destructive,#d73333)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover .cdx-button__icon{background-color:var(--color-destructive--hover,#ff4242)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive.cdx-button--is-active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive.cdx-button--is-active .cdx-button__icon{background-color:var(--color-inverted,#fff)}}.cdx-button:disabled,.cdx-button.cdx-button--fake-button--disabled{background-color:var(--background-color-disabled,#c8ccd1);color:var(--color-inverted,#fff);border-color:var(--border-color-transparent,transparent)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:disabled .cdx-button__icon,.cdx-button.cdx-button--fake-button--disabled .cdx-button__icon{background-color:var(--color-inverted,#fff)}}.cdx-button:disabled.cdx-button--weight-quiet,.cdx-button.cdx-button--fake-button--disabled.cdx-button--weight-quiet{background-color:var(--background-color-transparent,transparent);color:var(--color-disabled,#72777d)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:disabled.cdx-button--weight-quiet .cdx-button__icon,.cdx-button.cdx-button--fake-button--disabled.cdx-button--weight-quiet .cdx-button__icon{background-color:var(--color-disabled,#72777d)}}@supports not (((-webkit-mask-image:none) or (mask-image:none))){.cdx-text-input__icon.cdx-text-input__end-icon{background-position:center;background-repeat:no-repeat;background-size:max(1rem,16px)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-text-input__icon.cdx-text-input__end-icon{-webkit-mask-size:max(1rem,16px);mask-size:max(1rem,16px);-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-position:center;mask-position:center}}.cdx-text-input__input:enabled{background-color:var(--background-color-base,#fff);color:var(--color-base,#202122);border-color:var(--border-color-base,#a2a9b1);box-shadow:inset 0 0 0 1px var(--box-shadow-color-transparent,transparent);transition-property:background-color,color,border-color,box-shadow;transition-duration:.25s}.cdx-text-input__input:enabled~.cdx-text-input__icon{opacity:var(--opacity-icon-placeholder,.51)}.cdx-text-input__input:enabled:hover{border-color:var(--border-color-input--hover,#72777d)}.cdx-text-input__input:enabled:focus~.cdx-text-input__icon,.cdx-text-input__input:enabled.cdx-text-input__input--has-value~.cdx-text-input__icon{opacity:1}.cdx-text-input__input:enabled:focus{border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c);outline:1px solid transparent}.cdx-text-input__input:enabled:read-only{background-color:var(--background-color-interactive-subtle,#f8f9fa)}.cdx-text-input__input:disabled{background-color:var(--background-color-disabled-subtle,#eaecf0);color:var(--color-disabled,#72777d);-webkit-text-fill-color:var(--color-disabled,#72777d);border-color:var(--border-color-disabled,#c8ccd1)}.cdx-text-input__input:disabled~.cdx-text-input__icon{opacity:var(--opacity-icon-base--disabled,.51)}.cdx-text-input__input::placeholder{color:var(--color-placeholder,#72777d);opacity:1}.cdx-text-input__input[type=search]{-webkit-appearance:none;-moz-appearance:textfield}.cdx-text-input__input[type=search]::-webkit-search-decoration,.cdx-text-input__input[type=search]::-webkit-search-cancel-button{display:none}.cdx-search-input--has-end-button{background-color:var(--background-color-base,#fff);display:flex;border:var(--border-base,1px solid #a2a9b1);border-radius:2px}.cdx-search-input--has-end-button .cdx-search-input__input-wrapper{flex-grow:1;margin:-1px}.cdx-search-input--has-end-button .cdx-search-input__input-wrapper .cdx-text-input{border-top-right-radius:0;border-bottom-right-radius:0}.cdx-search-input__end-button.cdx-button{flex-shrink:0;margin:-1px -1px -1px 0;border-top-left-radius:0;border-bottom-left-radius:0}.cdx-search-input__end-button.cdx-button:hover,.cdx-search-input__end-button.cdx-button:focus{z-index:1}.cdx-search-input__input-wrapper{position:relative}.cdx-search-input .cdx-text-input__icon.cdx-text-input__start-icon{min-width:20px;min-height:20px;width:1.25rem;height:1.25rem;display:inline-block;vertical-align:text-bottom}@supports not (((-webkit-mask-image:none) or (mask-image:none))){.cdx-search-input .cdx-text-input__icon.cdx-text-input__start-icon{background-position:center;background-repeat:no-repeat;background-size:max(1.25rem,20px)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-search-input .cdx-text-input__icon.cdx-text-input__start-icon{-webkit-mask-size:max(1.25rem,20px);mask-size:max(1.25rem,20px);-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-position:center;mask-position:center}}@supports not (((-webkit-mask-image:none) or (mask-image:none))){.cdx-search-input .cdx-text-input__icon.cdx-text-input__start-icon{background-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M12.2\ 13.6a7\ 7\ 0\ 111.4-1.4l5.4\ 5.4-1.4\ 1.4zM3\ 8a5\ 5\ 0\ 1010\ 0A5\ 5\ 0\ 003\ 8\"\/><\/svg>);filter:invert(var(--filter-invert-icon,0));opacity:var(--opacity-icon-base,.87)}.cdx-button:not(.cdx-button--weight-quiet):disabled .cdx-search-input .cdx-text-input__icon.cdx-text-input__start-icon,.cdx-button--weight-primary.cdx-button--action-progressive .cdx-search-input .cdx-text-input__icon.cdx-text-input__start-icon,.cdx-button--weight-primary.cdx-button--action-destructive .cdx-search-input .cdx-text-input__icon.cdx-text-input__start-icon{filter:invert(var(--filter-invert-primary-button-icon,1))}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-search-input .cdx-text-input__icon.cdx-text-input__start-icon{-webkit-mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M12.2\ 13.6a7\ 7\ 0\ 111.4-1.4l5.4\ 5.4-1.4\ 1.4zM3\ 8a5\ 5\ 0\ 1010\ 0A5\ 5\ 0\ 003\ 8\"\/><\/svg>);mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M12.2\ 13.6a7\ 7\ 0\ 111.4-1.4l5.4\ 5.4-1.4\ 1.4zM3\ 8a5\ 5\ 0\ 1010\ 0A5\ 5\ 0\ 003\ 8\"\/><\/svg>);background-color:var(--color-base,#202122)}}.cdx-typeahead-search .cdx-text-input--has-start-icon .cdx-text-input__input{padding-left:36px}.cdx-typeahead-search--show-thumbnail.cdx-typeahead-search--auto-expand-width:not(.cdx-typeahead-search--expanded){margin-left:24px}.cdx-typeahead-search--show-thumbnail:not(.cdx-typeahead-search--auto-expand-width),.cdx-typeahead-search--show-thumbnail.cdx-typeahead-search--auto-expand-width.cdx-typeahead-search--expanded{margin-left:0}.cdx-typeahead-search--show-thumbnail:not(.cdx-typeahead-search--auto-expand-width) .cdx-text-input__input,.cdx-typeahead-search--show-thumbnail.cdx-typeahead-search--auto-expand-width.cdx-typeahead-search--expanded .cdx-text-input__input{padding-left:60px}.cdx-typeahead-search--show-thumbnail:not(.cdx-typeahead-search--auto-expand-width) .cdx-text-input__start-icon,.cdx-typeahead-search--show-thumbnail.cdx-typeahead-search--auto-expand-width.cdx-typeahead-search--expanded .cdx-text-input__start-icon{position:absolute;top:50%;min-width:20px;min-height:20px;width:1.25rem;height:1.25rem;transition-property:color;transition-duration:.1s;left:22px;transform:translateY(-50%)}@media screen and (min-width:640px){}@media screen and (min-width:640px){}@supports not (((-webkit-mask-image:none) or (mask-image:none))){.cdx-message .cdx-message__icon{background-position:center;background-repeat:no-repeat;background-size:max(1.25rem,20px)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-message .cdx-message__icon{-webkit-mask-size:max(1.25rem,20px);mask-size:max(1.25rem,20px);-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-position:center;mask-position:center}}@supports not (((-webkit-mask-image:none) or (mask-image:none))){.cdx-message .cdx-message__icon{background-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M10\ 0C4.477\ 0\ 0\ 4.477\ 0\ 10s4.477\ 10\ 10\ 10\ 10-4.477\ 10-10S15.523\ 0\ 10\ 0M9\ 5h2v2H9zm0\ 4h2v6H9z\"\/><\/svg>);filter:invert(var(--filter-invert-icon,0));opacity:var(--opacity-icon-base,.87)}.cdx-button:not(.cdx-button--weight-quiet):disabled .cdx-message .cdx-message__icon,.cdx-button--weight-primary.cdx-button--action-progressive .cdx-message .cdx-message__icon,.cdx-button--weight-primary.cdx-button--action-destructive .cdx-message .cdx-message__icon{filter:invert(var(--filter-invert-primary-button-icon,1))}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-message .cdx-message__icon{-webkit-mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M10\ 0C4.477\ 0\ 0\ 4.477\ 0\ 10s4.477\ 10\ 10\ 10\ 10-4.477\ 10-10S15.523\ 0\ 10\ 0M9\ 5h2v2H9zm0\ 4h2v6H9z\"\/><\/svg>);mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M10\ 0C4.477\ 0\ 0\ 4.477\ 0\ 10s4.477\ 10\ 10\ 10\ 10-4.477\ 10-10S15.523\ 0\ 10\ 0M9\ 5h2v2H9zm0\ 4h2v6H9z\"\/><\/svg>);background-color:var(--color-base,#202122)}}@supports not (((-webkit-mask-image:none) or (mask-image:none))){.cdx-message .cdx-message__icon:lang(ar){background-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M8\ 19a1\ 1\ 0\ 001\ 1h2a1\ 1\ 0\ 001-1v-1H8zm9-12a7\ 7\ 0\ 10-12\ 4.9S7\ 14\ 7\ 15v1a1\ 1\ 0\ 001\ 1h4a1\ 1\ 0\ 001-1v-1c0-1\ 2-3.1\ 2-3.1A7\ 7\ 0\ 0017\ 7\"\/><\/svg>);filter:invert(var(--filter-invert-icon,0));opacity:var(--opacity-icon-base,.87)}.cdx-button:not(.cdx-button--weight-quiet):disabled .cdx-message .cdx-message__icon:lang(ar),.cdx-button--weight-primary.cdx-button--action-progressive .cdx-message .cdx-message__icon:lang(ar),.cdx-button--weight-primary.cdx-button--action-destructive .cdx-message .cdx-message__icon:lang(ar){filter:invert(var(--filter-invert-primary-button-icon,1))}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-message .cdx-message__icon:lang(ar){-webkit-mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M8\ 19a1\ 1\ 0\ 001\ 1h2a1\ 1\ 0\ 001-1v-1H8zm9-12a7\ 7\ 0\ 10-12\ 4.9S7\ 14\ 7\ 15v1a1\ 1\ 0\ 001\ 1h4a1\ 1\ 0\ 001-1v-1c0-1\ 2-3.1\ 2-3.1A7\ 7\ 0\ 0017\ 7\"\/><\/svg>);mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M8\ 19a1\ 1\ 0\ 001\ 1h2a1\ 1\ 0\ 001-1v-1H8zm9-12a7\ 7\ 0\ 10-12\ 4.9S7\ 14\ 7\ 15v1a1\ 1\ 0\ 001\ 1h4a1\ 1\ 0\ 001-1v-1c0-1\ 2-3.1\ 2-3.1A7\ 7\ 0\ 0017\ 7\"\/><\/svg>);background-color:var(--color-base,#202122)}}@supports not (((-webkit-mask-image:none) or (mask-image:none))){.cdx-message--warning .cdx-message__icon{background-position:center;background-repeat:no-repeat;background-size:max(1.25rem,20px)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-message--warning .cdx-message__icon{-webkit-mask-size:max(1.25rem,20px);mask-size:max(1.25rem,20px);-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-position:center;mask-position:center}}@supports not (((-webkit-mask-image:none) or (mask-image:none))){.cdx-message--warning .cdx-message__icon{background-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M11.53\ 2.3A1.85\ 1.85\ 0\ 0010\ 1.21\ 1.85\ 1.85\ 0\ 008.48\ 2.3L.36\ 16.36C-.48\ 17.81.21\ 19\ 1.88\ 19h16.24c1.67\ 0\ 2.36-1.19\ 1.52-2.64zM11\ 16H9v-2h2zm0-4H9V6h2z\"\/><\/svg>);filter:invert(var(--filter-invert-icon,0));opacity:var(--opacity-icon-base,.87)}.cdx-button:not(.cdx-button--weight-quiet):disabled .cdx-message--warning .cdx-message__icon,.cdx-button--weight-primary.cdx-button--action-progressive .cdx-message--warning .cdx-message__icon,.cdx-button--weight-primary.cdx-button--action-destructive .cdx-message--warning .cdx-message__icon{filter:invert(var(--filter-invert-primary-button-icon,1))}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-message--warning .cdx-message__icon{-webkit-mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M11.53\ 2.3A1.85\ 1.85\ 0\ 0010\ 1.21\ 1.85\ 1.85\ 0\ 008.48\ 2.3L.36\ 16.36C-.48\ 17.81.21\ 19\ 1.88\ 19h16.24c1.67\ 0\ 2.36-1.19\ 1.52-2.64zM11\ 16H9v-2h2zm0-4H9V6h2z\"\/><\/svg>);mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M11.53\ 2.3A1.85\ 1.85\ 0\ 0010\ 1.21\ 1.85\ 1.85\ 0\ 008.48\ 2.3L.36\ 16.36C-.48\ 17.81.21\ 19\ 1.88\ 19h16.24c1.67\ 0\ 2.36-1.19\ 1.52-2.64zM11\ 16H9v-2h2zm0-4H9V6h2z\"\/><\/svg>);background-color:var(--color-warning,#edab00)}}@supports not (((-webkit-mask-image:none) or (mask-image:none))){.cdx-message--error .cdx-message__icon{background-position:center;background-repeat:no-repeat;background-size:max(1.25rem,20px)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-message--error .cdx-message__icon{-webkit-mask-size:max(1.25rem,20px);mask-size:max(1.25rem,20px);-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-position:center;mask-position:center}}@supports not (((-webkit-mask-image:none) or (mask-image:none))){.cdx-message--error .cdx-message__icon{background-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M13.728\ 1H6.272L1\ 6.272v7.456L6.272\ 19h7.456L19\ 13.728V6.272zM11\ 15H9v-2h2zm0-4H9V5h2z\"\/><\/svg>);filter:invert(var(--filter-invert-icon,0));opacity:var(--opacity-icon-base,.87)}.cdx-button:not(.cdx-button--weight-quiet):disabled .cdx-message--error .cdx-message__icon,.cdx-button--weight-primary.cdx-button--action-progressive .cdx-message--error .cdx-message__icon,.cdx-button--weight-primary.cdx-button--action-destructive .cdx-message--error .cdx-message__icon{filter:invert(var(--filter-invert-primary-button-icon,1))}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-message--error .cdx-message__icon{-webkit-mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M13.728\ 1H6.272L1\ 6.272v7.456L6.272\ 19h7.456L19\ 13.728V6.272zM11\ 15H9v-2h2zm0-4H9V5h2z\"\/><\/svg>);mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M13.728\ 1H6.272L1\ 6.272v7.456L6.272\ 19h7.456L19\ 13.728V6.272zM11\ 15H9v-2h2zm0-4H9V5h2z\"\/><\/svg>);background-color:var(--color-error,#d73333)}}@supports not (((-webkit-mask-image:none) or (mask-image:none))){.cdx-message--success .cdx-message__icon{background-position:center;background-repeat:no-repeat;background-size:max(1.25rem,20px)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-message--success .cdx-message__icon{-webkit-mask-size:max(1.25rem,20px);mask-size:max(1.25rem,20px);-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-position:center;mask-position:center}}@supports not (((-webkit-mask-image:none) or (mask-image:none))){.cdx-message--success .cdx-message__icon{background-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M10\ 20a10\ 10\ 0\ 010-20\ 10\ 10\ 0\ 110\ 20m-2-5\ 9-8.5L15.5\ 5\ 8\ 12\ 4.5\ 8.5\ 3\ 10z\"\/><\/svg>);filter:invert(var(--filter-invert-icon,0));opacity:var(--opacity-icon-base,.87)}.cdx-button:not(.cdx-button--weight-quiet):disabled .cdx-message--success .cdx-message__icon,.cdx-button--weight-primary.cdx-button--action-progressive .cdx-message--success .cdx-message__icon,.cdx-button--weight-primary.cdx-button--action-destructive .cdx-message--success .cdx-message__icon{filter:invert(var(--filter-invert-primary-button-icon,1))}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-message--success .cdx-message__icon{-webkit-mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M10\ 20a10\ 10\ 0\ 010-20\ 10\ 10\ 0\ 110\ 20m-2-5\ 9-8.5L15.5\ 5\ 8\ 12\ 4.5\ 8.5\ 3\ 10z\"\/><\/svg>);mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M10\ 20a10\ 10\ 0\ 010-20\ 10\ 10\ 0\ 110\ 20m-2-5\ 9-8.5L15.5\ 5\ 8\ 12\ 4.5\ 8.5\ 3\ 10z\"\/><\/svg>);background-color:var(--color-success,#14866d)}}@media screen and (min-width:640px){}@media screen and (min-width:640px){}</style>
|
||
<style>.vector-icon.mw-ui-icon-wikimedia-fullScreen{background-image:url(data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiPz4KPHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyMCIgaGVpZ2h0PSIyMCIgdmlld0JveD0iMCAwIDIwIDIwIj48dGl0bGU+CgkJZnVsbHNjcmVlbgoJPC90aXRsZT48ZyBmaWxsPSIjMDAwIj48cGF0aCBkPSJNMSAxdjZoMlYzaDRWMXptMiAxMkgxdjZoNnYtMkgzem0xNCA0aC00djJoNnYtNmgtMnptMC0xNmgtNHYyaDR2NGgyVjF6Ii8+PC9nPjwvc3ZnPgo=)}.cdx-button{display:inline-flex;align-items:center;justify-content:center;gap:4px;box-sizing:border-box;min-width:32px;min-height:32px;max-width:28rem;margin:0;border-width:1px;border-style:solid;border-radius:2px;padding-right:11px;padding-left:11px;font-family:inherit;font-size:inherit;font-weight:700;overflow:hidden;text-overflow:ellipsis;white-space:nowrap;text-transform:none;transition-property:background-color,color,border-color,box-shadow;transition-duration:.1s}.cdx-button--icon-only{padding-right:5px;padding-left:5px}.cdx-button::-moz-focus-inner{border:0;padding:0}.cdx-button--fake-button,.cdx-button--fake-button:hover,.cdx-button--fake-button:focus{text-decoration:none}.cdx-button:enabled,.cdx-button.cdx-button--fake-button--enabled{background-color:var(--background-color-interactive-subtle,#f8f9fa);color:var(--color-base,#202122);border-color:var(--border-color-base,#a2a9b1)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled .cdx-button__icon{background-color:var(--color-base,#202122)}}.cdx-button:enabled:hover,.cdx-button.cdx-button--fake-button--enabled:hover{background-color:var(--background-color-base,#fff);color:var(--color-base--hover,#404244);cursor:pointer}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled:hover .cdx-button__icon{background-color:var(--color-base--hover,#404244)}}.cdx-button:enabled:active,.cdx-button.cdx-button--fake-button--enabled:active,.cdx-button:enabled.cdx-button--is-active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--is-active{background-color:var(--background-color-interactive,#eaecf0);color:var(--color-emphasized,#000);border-color:var(--border-color-interactive,#72777d)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled:active .cdx-button__icon,.cdx-button:enabled.cdx-button--is-active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--is-active .cdx-button__icon{background-color:var(--color-emphasized,#000)}}.cdx-button:enabled:focus,.cdx-button.cdx-button--fake-button--enabled:focus{outline:1px solid transparent}.cdx-button:enabled:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c)}.cdx-button:enabled.cdx-button--action-progressive,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive{color:var(--color-progressive,#36c)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-progressive .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive .cdx-button__icon{background-color:var(--color-progressive,#36c)}}.cdx-button:enabled.cdx-button--action-progressive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:hover{color:var(--color-progressive--hover,#447ff5);border-color:var(--border-color-progressive--hover,#447ff5)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-progressive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:hover .cdx-button__icon{background-color:var(--color-progressive--hover,#447ff5)}}.cdx-button:enabled.cdx-button--action-progressive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:active,.cdx-button:enabled.cdx-button--action-progressive.cdx-button--is-active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive.cdx-button--is-active{background-color:var(--background-color-progressive-subtle,#eaf3ff);color:var(--color-progressive--active,#2a4b8d);border-color:var(--border-color-progressive--active,#2a4b8d)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button:enabled.cdx-button--action-progressive.cdx-button--is-active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive.cdx-button--is-active .cdx-button__icon{background-color:var(--color-progressive--active,#2a4b8d)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-destructive .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive .cdx-button__icon{background-color:var(--color-destructive,#d73333)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-destructive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:hover .cdx-button__icon{background-color:var(--color-destructive--hover,#ff4242)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button:enabled.cdx-button--action-destructive.cdx-button--is-active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive.cdx-button--is-active .cdx-button__icon{background-color:var(--color-destructive--active,#b32424)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive .cdx-button__icon{background-color:var(--color-inverted-fixed,#fff)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive:hover .cdx-button__icon{background-color:var(--color-inverted-fixed,#fff)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive.cdx-button--is-active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive.cdx-button--is-active .cdx-button__icon{background-color:var(--color-inverted-fixed,#fff)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive .cdx-button__icon{background-color:var(--color-inverted-fixed,#fff)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive:hover .cdx-button__icon{background-color:var(--color-inverted-fixed,#fff)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive.cdx-button--is-active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive.cdx-button--is-active .cdx-button__icon{background-color:var(--color-inverted-fixed,#fff)}}.cdx-button:enabled.cdx-button--weight-quiet,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet{background-color:var(--background-color-transparent,transparent);border-color:var(--border-color-transparent,transparent)}.cdx-button:enabled.cdx-button--weight-quiet:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet:hover{background-color:var(--background-color-button-quiet--hover,rgba(0,24,73,.027))}.cdx-button:enabled.cdx-button--weight-quiet:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet:active,.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--is-active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--is-active{background-color:var(--background-color-button-quiet--active,rgba(0,24,73,.082));color:var(--color-emphasized,#000);border-color:var(--border-color-interactive,#72777d)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet:active .cdx-button__icon,.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--is-active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--is-active .cdx-button__icon{background-color:var(--color-emphasized,#000)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive{color:var(--color-progressive,#36c)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive .cdx-button__icon{background-color:var(--color-progressive,#36c)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover{background-color:var(--background-color-progressive-subtle,#eaf3ff);color:var(--color-progressive--hover,#447ff5)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover .cdx-button__icon{background-color:var(--color-progressive--hover,#447ff5)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active,.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive.cdx-button--is-active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive.cdx-button--is-active{background-color:var(--background-color-progressive--active,#2a4b8d);color:var(--color-inverted-fixed,#fff);border-color:var(--border-color-progressive--active,#2a4b8d)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive.cdx-button--is-active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive.cdx-button--is-active .cdx-button__icon{background-color:var(--color-inverted,#fff)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive .cdx-button__icon{background-color:var(--color-destructive,#d73333)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover .cdx-button__icon{background-color:var(--color-destructive--hover,#ff4242)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive.cdx-button--is-active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive.cdx-button--is-active .cdx-button__icon{background-color:var(--color-inverted,#fff)}}.cdx-button:disabled,.cdx-button.cdx-button--fake-button--disabled{background-color:var(--background-color-disabled,#c8ccd1);color:var(--color-inverted,#fff);border-color:var(--border-color-transparent,transparent)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:disabled .cdx-button__icon,.cdx-button.cdx-button--fake-button--disabled .cdx-button__icon{background-color:var(--color-inverted,#fff)}}.cdx-button:disabled.cdx-button--weight-quiet,.cdx-button.cdx-button--fake-button--disabled.cdx-button--weight-quiet{background-color:var(--background-color-transparent,transparent);color:var(--color-disabled,#72777d)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:disabled.cdx-button--weight-quiet .cdx-button__icon,.cdx-button.cdx-button--fake-button--disabled.cdx-button--weight-quiet .cdx-button__icon{background-color:var(--color-disabled,#72777d)}}@supports not (((-webkit-mask-image:none) or (mask-image:none))){.cdx-thumbnail__placeholder__icon{background-position:center;background-repeat:no-repeat;background-size:max(1.25rem,20px)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-thumbnail__placeholder__icon{-webkit-mask-size:max(1.25rem,20px);mask-size:max(1.25rem,20px);-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-position:center;mask-position:center}}@supports not (((-webkit-mask-image:none) or (mask-image:none))){.cdx-thumbnail__placeholder__icon{background-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M19\ 3H1v14h18zM3\ 14l3.5-4.5\ 2.5\ 3L12.5\ 8l4.5\ 6z\"\/><path\ d=\"M19\ 5H1V3h18zm0\ 12H1v-2h18z\"\/><\/svg>);filter:invert(var(--filter-invert-icon,0));opacity:var(--opacity-icon-base,.87)}.cdx-button:not(.cdx-button--weight-quiet):disabled .cdx-thumbnail__placeholder__icon,.cdx-button--weight-primary.cdx-button--action-progressive .cdx-thumbnail__placeholder__icon,.cdx-button--weight-primary.cdx-button--action-destructive .cdx-thumbnail__placeholder__icon{filter:invert(var(--filter-invert-primary-button-icon,1))}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-thumbnail__placeholder__icon{-webkit-mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M19\ 3H1v14h18zM3\ 14l3.5-4.5\ 2.5\ 3L12.5\ 8l4.5\ 6z\"\/><path\ d=\"M19\ 5H1V3h18zm0\ 12H1v-2h18z\"\/><\/svg>);mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M19\ 3H1v14h18zM3\ 14l3.5-4.5\ 2.5\ 3L12.5\ 8l4.5\ 6z\"\/><path\ d=\"M19\ 5H1V3h18zm0\ 12H1v-2h18z\"\/><\/svg>);background-color:var(--color-placeholder,#72777d)}}@keyframes cdx-animation-progress-bar__bar{0%{transform:translate(-100%)}to{transform:translate(300%)}}.cdx-text-input{position:relative;box-sizing:border-box;min-width:256px;border-radius:2px;overflow:hidden}.cdx-text-input .cdx-text-input__start-icon{position:absolute;top:50%;transition-property:color;transition-duration:.1s;left:9px;transform:translateY(-50%)}@supports not (((-webkit-mask-image:none) or (mask-image:none))){.cdx-text-input__icon.cdx-text-input__end-icon{background-position:center;background-repeat:no-repeat;background-size:max(1rem,16px)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-text-input__icon.cdx-text-input__end-icon{-webkit-mask-size:max(1rem,16px);mask-size:max(1rem,16px);-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-position:center;mask-position:center}}.cdx-text-input__input{display:block;box-sizing:border-box;min-height:32px;width:100%;margin:0;border-width:1px;border-style:solid;border-radius:0;padding:4px 8px;font-family:inherit;font-size:inherit;line-height:1.375}.cdx-text-input__input:enabled{background-color:var(--background-color-base,#fff);color:var(--color-base,#202122);border-color:var(--border-color-base,#a2a9b1);box-shadow:inset 0 0 0 1px var(--box-shadow-color-transparent,transparent);transition-property:background-color,color,border-color,box-shadow;transition-duration:.25s}.cdx-text-input__input:enabled~.cdx-text-input__icon{opacity:var(--opacity-icon-placeholder,.51)}.cdx-text-input__input:enabled:hover{border-color:var(--border-color-input--hover,#72777d)}.cdx-text-input__input:enabled:focus~.cdx-text-input__icon,.cdx-text-input__input:enabled.cdx-text-input__input--has-value~.cdx-text-input__icon{opacity:1}.cdx-text-input__input:enabled:focus{border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c);outline:1px solid transparent}.cdx-text-input__input:enabled:read-only{background-color:var(--background-color-interactive-subtle,#f8f9fa)}.cdx-text-input__input:disabled{background-color:var(--background-color-disabled-subtle,#eaecf0);color:var(--color-disabled,#72777d);-webkit-text-fill-color:var(--color-disabled,#72777d);border-color:var(--border-color-disabled,#c8ccd1)}.cdx-text-input__input:disabled~.cdx-text-input__icon{opacity:var(--opacity-icon-base--disabled,.51)}.cdx-text-input__input::placeholder{color:var(--color-placeholder,#72777d);opacity:1}.cdx-text-input__input[type=search]{-webkit-appearance:none;-moz-appearance:textfield}.cdx-text-input__input[type=search]::-webkit-search-decoration,.cdx-text-input__input[type=search]::-webkit-search-cancel-button{display:none}@keyframes centralAuthPPersonalAnimation{0%{opacity:0;transform:translateY(-20px)}100%{opacity:1;transform:translateY(0)}}#mw-teleport-target{position:absolute;z-index:450}</style><style>@supports not ((-webkit-mask-image:none) or (mask-image:none)){.mw-ui-icon-wikimedia-expand{background-position:center;background-repeat:no-repeat;background-size:calc(max(1.25rem,20px))}}@supports (-webkit-mask-image:none) or (mask-image:none){.mw-ui-icon-wikimedia-expand{-webkit-mask-size:calc(max(1.25rem,20px));mask-size:calc(max(1.25rem,20px));-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-position:center;mask-position:center}}@supports not ((-webkit-mask-image:none) or (mask-image:none)){.mw-ui-icon-wikimedia-expand{background-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"m17.5\ 4.75-7.5\ 7.5-7.5-7.5L1\ 6.25l9\ 9\ 9-9z\"\/><\/svg>);filter:invert(var(--filter-invert-icon,0));opacity:var(--opacity-icon-base,0.87)}.cdx-button:not(.cdx-button--weight-quiet):disabled .mw-ui-icon-wikimedia-expand,.cdx-button--weight-primary.cdx-button--action-progressive .mw-ui-icon-wikimedia-expand,.cdx-button--weight-primary.cdx-button--action-destructive .mw-ui-icon-wikimedia-expand{filter:invert(var(--filter-invert-primary-button-icon,1))}}@supports (-webkit-mask-image:none) or (mask-image:none){.mw-ui-icon-wikimedia-expand{-webkit-mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"m17.5\ 4.75-7.5\ 7.5-7.5-7.5L1\ 6.25l9\ 9\ 9-9z\"\/><\/svg>);mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"m17.5\ 4.75-7.5\ 7.5-7.5-7.5L1\ 6.25l9\ 9\ 9-9z\"\/><\/svg>);background-color:var(--color-base,#202122)}}@supports not ((-webkit-mask-image:none) or (mask-image:none)){.mw-ui-icon-wikimedia-expand{background-position:center;background-repeat:no-repeat;background-size:calc(max(0.75rem,12px))}}@supports (-webkit-mask-image:none) or (mask-image:none){.mw-ui-icon-wikimedia-expand{-webkit-mask-size:calc(max(0.75rem,12px));mask-size:calc(max(0.75rem,12px));-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-position:center;mask-position:center}}@media (min-width:1000px){}@supports not ((-webkit-mask-image:none) or (mask-image:none)){.mw-mmv-filepage-buttons .mw-mmv-view-expanded .cdx-button__icon{background-position:center;background-repeat:no-repeat;background-size:calc(max(1rem,16px))}}@supports (-webkit-mask-image:none) or (mask-image:none){.mw-mmv-filepage-buttons .mw-mmv-view-expanded .cdx-button__icon{-webkit-mask-size:calc(max(1rem,16px));mask-size:calc(max(1rem,16px));-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-position:center;mask-position:center}}@supports not ((-webkit-mask-image:none) or (mask-image:none)){.mw-mmv-filepage-buttons .mw-mmv-view-expanded .cdx-button__icon{background-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M3\ 5a2\ 2\ 0\ 00-2\ 2v10a2\ 2\ 0\ 002\ 2h14a2\ 2\ 0\ 002-2V7a2\ 2\ 0\ 00-2-2zm0\ 11\ 3.5-4.5\ 2.5\ 3\ 3.5-4.5\ 4.5\ 6zM16\ 2a2\ 2\ 0\ 012\ 2H2a2\ 2\ 0\ 012-2z\"\/><\/svg>);filter:invert(var(--filter-invert-icon,0));opacity:var(--opacity-icon-base,0.87)}.cdx-button:not(.cdx-button--weight-quiet):disabled .mw-mmv-filepage-buttons .mw-mmv-view-expanded .cdx-button__icon,.cdx-button--weight-primary.cdx-button--action-progressive .mw-mmv-filepage-buttons .mw-mmv-view-expanded .cdx-button__icon,.cdx-button--weight-primary.cdx-button--action-destructive .mw-mmv-filepage-buttons .mw-mmv-view-expanded .cdx-button__icon{filter:invert(var(--filter-invert-primary-button-icon,1))}}@supports (-webkit-mask-image:none) or (mask-image:none){.mw-mmv-filepage-buttons .mw-mmv-view-expanded .cdx-button__icon{-webkit-mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M3\ 5a2\ 2\ 0\ 00-2\ 2v10a2\ 2\ 0\ 002\ 2h14a2\ 2\ 0\ 002-2V7a2\ 2\ 0\ 00-2-2zm0\ 11\ 3.5-4.5\ 2.5\ 3\ 3.5-4.5\ 4.5\ 6zM16\ 2a2\ 2\ 0\ 012\ 2H2a2\ 2\ 0\ 012-2z\"\/><\/svg>);mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><path\ d=\"M3\ 5a2\ 2\ 0\ 00-2\ 2v10a2\ 2\ 0\ 002\ 2h14a2\ 2\ 0\ 002-2V7a2\ 2\ 0\ 00-2-2zm0\ 11\ 3.5-4.5\ 2.5\ 3\ 3.5-4.5\ 4.5\ 6zM16\ 2a2\ 2\ 0\ 012\ 2H2a2\ 2\ 0\ 012-2z\"\/><\/svg>);transition-property:background-color;transition-duration:100ms}}@supports not ((-webkit-mask-image:none) or (mask-image:none)){.mw-mmv-filepage-buttons .mw-mmv-view-config .cdx-button__icon{background-position:center;background-repeat:no-repeat;background-size:calc(max(1rem,16px))}}@supports (-webkit-mask-image:none) or (mask-image:none){.mw-mmv-filepage-buttons .mw-mmv-view-config .cdx-button__icon{-webkit-mask-size:calc(max(1rem,16px));mask-size:calc(max(1rem,16px));-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-position:center;mask-position:center}}@supports not ((-webkit-mask-image:none) or (mask-image:none)){.mw-mmv-filepage-buttons .mw-mmv-view-config .cdx-button__icon{background-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><g\ transform=\"translate\(10\ 10\)\"><path\ id=\"cdx-icon-settings-a\"\ d=\"M1.5-10h-3l-1\ 6.5h5m0\ 7h-5l1\ 6.5h3\"\/><use\ xlink:href=\"%23cdx-icon-settings-a\"\ transform=\"rotate\(45\)\"\/><use\ xlink:href=\"%23cdx-icon-settings-a\"\ transform=\"rotate\(90\)\"\/><use\ xlink:href=\"%23cdx-icon-settings-a\"\ transform=\"rotate\(135\)\"\/><\/g><path\ d=\"M10\ 2.5a7.5\ 7.5\ 0\ 000\ 15\ 7.5\ 7.5\ 0\ 000-15v4a3.5\ 3.5\ 0\ 010\ 7\ 3.5\ 3.5\ 0\ 010-7\"\/><\/svg>);filter:invert(var(--filter-invert-icon,0));opacity:var(--opacity-icon-base,0.87)}.cdx-button:not(.cdx-button--weight-quiet):disabled .mw-mmv-filepage-buttons .mw-mmv-view-config .cdx-button__icon,.cdx-button--weight-primary.cdx-button--action-progressive .mw-mmv-filepage-buttons .mw-mmv-view-config .cdx-button__icon,.cdx-button--weight-primary.cdx-button--action-destructive .mw-mmv-filepage-buttons .mw-mmv-view-config .cdx-button__icon{filter:invert(var(--filter-invert-primary-button-icon,1))}}@supports (-webkit-mask-image:none) or (mask-image:none){.mw-mmv-filepage-buttons .mw-mmv-view-config .cdx-button__icon{-webkit-mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><g\ transform=\"translate\(10\ 10\)\"><path\ id=\"cdx-icon-settings-a\"\ d=\"M1.5-10h-3l-1\ 6.5h5m0\ 7h-5l1\ 6.5h3\"\/><use\ xlink:href=\"%23cdx-icon-settings-a\"\ transform=\"rotate\(45\)\"\/><use\ xlink:href=\"%23cdx-icon-settings-a\"\ transform=\"rotate\(90\)\"\/><use\ xlink:href=\"%23cdx-icon-settings-a\"\ transform=\"rotate\(135\)\"\/><\/g><path\ d=\"M10\ 2.5a7.5\ 7.5\ 0\ 000\ 15\ 7.5\ 7.5\ 0\ 000-15v4a3.5\ 3.5\ 0\ 010\ 7\ 3.5\ 3.5\ 0\ 010-7\"\/><\/svg>);mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ xmlns:xlink=\"http://www.w3.org/1999/xlink\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000000\"><g\ transform=\"translate\(10\ 10\)\"><path\ id=\"cdx-icon-settings-a\"\ d=\"M1.5-10h-3l-1\ 6.5h5m0\ 7h-5l1\ 6.5h3\"\/><use\ xlink:href=\"%23cdx-icon-settings-a\"\ transform=\"rotate\(45\)\"\/><use\ xlink:href=\"%23cdx-icon-settings-a\"\ transform=\"rotate\(90\)\"\/><use\ xlink:href=\"%23cdx-icon-settings-a\"\ transform=\"rotate\(135\)\"\/><\/g><path\ d=\"M10\ 2.5a7.5\ 7.5\ 0\ 000\ 15\ 7.5\ 7.5\ 0\ 000-15v4a3.5\ 3.5\ 0\ 010\ 7\ 3.5\ 3.5\ 0\ 010-7\"\/><\/svg>);transition-property:background-color;transition-duration:100ms}}</style><meta name=ResourceLoaderDynamicStyles content>
|
||
<style>.reference{font-size:91%;vertical-align:text-top;position:relative;top:-0.3em}ol.references>li:target{background-color:#DEF}sup.reference:target{background-color:#DEF}dd{margin-left:2.8em}dl{margin:0px;margin-bottom:1em}</style>
|
||
<meta name=generator content="MediaWiki 1.43.0-wmf.7">
|
||
<meta name=robots content=max-image-preview:standard>
|
||
<meta name=format-detection content="telephone=no">
|
||
<meta name=viewport content="width=1000">
|
||
<meta property=og:title content="Translatorische Bewegung des Lichtäthers – Wikisource">
|
||
<meta property=og:type content=website>
|
||
<link rel=alternate media="only screen and (max-width: 720px)" href=https://de.m.wikisource.org/wiki/Translatorische_Bewegung_des_Licht%C3%A4thers>
|
||
<link rel=search type=application/opensearchdescription+xml href=https://de.wikisource.org/w/rest.php/v1/search title="Wikisource (en)">
|
||
<link rel=EditURI type=application/rsd+xml href="https://de.wikisource.org/w/api.php?action=rsd">
|
||
<link rel=canonical href=https://de.wikisource.org/wiki/Translatorische_Bewegung_des_Licht%C3%A4thers>
|
||
<link rel=license href=https://creativecommons.org/licenses/by-sa/4.0/deed.de>
|
||
<link rel=alternate type=application/atom+xml title="Atom feed for “Wikisource”" href="https://de.wikisource.org/w/index.php?title=Spezial:Letzte_%C3%84nderungen&feed=atom">
|
||
<meta http-equiv=X-Translated-By content=Google>
|
||
<meta http-equiv=X-Translated-To content=en>
|
||
<meta name=robots content=none>
|
||
<style>@keyframes spinner-rotator{0%{transform:rotate(0deg)}100%{transform:rotate(270deg)}}@keyframes spinner-dash{0%{stroke-dashoffset:187}50%{stroke-dashoffset:46.75;transform:rotate(135deg)}100%{stroke-dashoffset:187;transform:rotate(450deg)}}</style><meta name=referrer content=no-referrer><link rel=icon href=data:image/vnd.microsoft.icon;base64,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><style>.sf-hidden{display:none!important}</style><meta http-equiv=content-security-policy content="default-src 'none'; font-src 'self' data:; img-src 'self' data:; style-src 'unsafe-inline'; media-src 'self' data:; script-src 'unsafe-inline' data:; object-src 'self' data:; frame-src 'self' data:;"><style>img[src="data:,"],source[src="data:,"]{display:none!important}</style></head>
|
||
<body class="skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject page-Translatorische_Bewegung_des_Lichtäthers rootpage-Translatorische_Bewegung_des_Lichtäthers skin-vector-2022 action-view uls-dialog-sticky-hide" style=margin-top:56px>
|
||
<a class=mw-jump-link href=#bodyContent><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Skip to content</font></font></a>
|
||
<div class=vector-header-container>
|
||
<header class="vector-header mw-header">
|
||
<div class=vector-header-start>
|
||
<nav class=vector-main-menu-landmark aria-label=website role=navigation>
|
||
<div id=vector-main-menu-dropdown class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right"><input type=checkbox id=vector-main-menu-dropdown-checkbox role=button aria-haspopup=true data-event-name=ui.dropdown-vector-main-menu-dropdown class=vector-dropdown-checkbox aria-label="main menu"> <label id=vector-main-menu-dropdown-label for=vector-main-menu-dropdown-checkbox class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" aria-hidden=true><span class="vector-icon mw-ui-icon-menu mw-ui-icon-wikimedia-menu"></span> <span class=vector-dropdown-label-text><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>main menu</font></font></span> </label>
|
||
<div class=vector-dropdown-content>
|
||
<div id=vector-main-menu-unpinned-container class=vector-unpinned-container>
|
||
<div id=vector-main-menu class="vector-main-menu vector-pinnable-element">
|
||
<div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name=main-menu-pinned data-pinnable-element-id=vector-main-menu data-pinned-container-id=vector-main-menu-pinned-container data-unpinned-container-id=vector-main-menu-unpinned-container data-saved-pinned-state=false>
|
||
<div class=vector-pinnable-header-label>
|
||
<font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>main menu</font></font>
|
||
</div><button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name=pinnable-header.vector-main-menu.pin><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Move to sidebar</font></font></button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button sf-hidden" data-event-name=pinnable-header.vector-main-menu.unpin>Hide</button>
|
||
</div>
|
||
<div id=p-navigation class="vector-menu mw-portlet mw-portlet-navigation">
|
||
<div class="vector-menu-heading sf-hidden">Navigation</div>
|
||
<div class=vector-menu-content>
|
||
<ul class=vector-menu-content-list>
|
||
<li id=n-mainpage class=mw-list-item><a href="https://de-wikisource-org.translate.goog/wiki/Hauptseite?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="Show main page [Alt+Shift+z]" accesskey=z><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Main page</font></font></span></a></li>
|
||
<li id=n-contents class=mw-list-item><a href="https://de-wikisource-org.translate.goog/wiki/Wikisource:Systematik?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Systematic entry</font></font></span></a></li>
|
||
<li id=n-Themenübersicht class=mw-list-item><a href="https://de-wikisource-org.translate.goog/wiki/Thema?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Topic overview</font></font></span></a></li>
|
||
<li id=n-authors class=mw-list-item><a href="https://de-wikisource-org.translate.goog/wiki/Kategorie:Autoren?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Author index</font></font></span></a></li>
|
||
<li id=n-randompage class=mw-list-item><a href="https://de-wikisource-org.translate.goog/wiki/Spezial:Zuf%C3%A4llige_Seite?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="Open random page [Alt+Shift+x]" accesskey=x><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Random site</font></font></span></a></li>
|
||
</ul>
|
||
</div>
|
||
</div>
|
||
<div id=p-Mitmachen class="vector-menu mw-portlet mw-portlet-Mitmachen">
|
||
<div class=vector-menu-heading>
|
||
<font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Participants</font></font>
|
||
</div>
|
||
<div class=vector-menu-content>
|
||
<ul class=vector-menu-content-list>
|
||
<li id=n-recentchanges class=mw-list-item><a href="https://de-wikisource-org.translate.goog/wiki/Spezial:Letzte_%C3%84nderungen?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="List of recent changes to this wiki [Alt+Shift+r]" accesskey=r><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>last changes</font></font></span></a></li>
|
||
<li id=n-Neuer-Artikel class=mw-list-item><a href="https://de-wikisource-org.translate.goog/wiki/Vorlage:Neuer_Artikel?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>new article</font></font></span></a></li>
|
||
<li id=n-Korrekturen-des-Monats class=mw-list-item><a href="https://de-wikisource-org.translate.goog/wiki/Vorlage:Reviewtext?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Corrections of the month</font></font></span></a></li>
|
||
<li id=n-Portal class=mw-list-item><a href="https://de-wikisource-org.translate.goog/wiki/Wikisource:Portal?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Community portal</font></font></span></a></li>
|
||
<li id=n-Skriptorium class=mw-list-item><a href="https://de-wikisource-org.translate.goog/wiki/Wikisource:Skriptorium?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Scriptorium</font></font></span></a></li>
|
||
<li id=n-Auskunft class=mw-list-item><a href="https://de-wikisource-org.translate.goog/wiki/Wikisource:Auskunft?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Information</font></font></span></a></li>
|
||
<li id=n-Hilfe class=mw-list-item><a href="https://de-wikisource-org.translate.goog/wiki/Wikisource:Hilfe?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Help</font></font></span></a></li>
|
||
<li id=n-Spenden class=mw-list-item><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=https://donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source%3Ddonate%26utm_medium%3Dsidebar%26utm_campaign%3DC13_de.wikisource.org%26uselang%3Dde"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Donate</font></font></span></a></li>
|
||
</ul>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
</nav><a href="https://de-wikisource-org.translate.goog/wiki/Hauptseite?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" class=mw-logo> <img class=mw-logo-icon src="data:image/svg+xml;base64,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" alt aria-hidden=true height=50 width=50> <span class="mw-logo-container skin-invert"> <img class=mw-logo-wordmark alt=Wikisource src=data:image/svg+xml;base64,<svg xmlns="http://www.w3.org/2000/svg" width="120" height="17" fill="none"><path fill="#000" d="M26.578.355a.48.48 0 0 1-.089.266c-.059.089-.118.118-.177.118-.591.06-1.064.237-1.42.562-.383.325-.738.916-1.152 1.833l-6.031 13.6c-.03.117-.148.177-.325.177-.148 0-.267-.06-.326-.178l-3.37-7.066-3.932 7.066c-.089.119-.177.178-.325.178-.177 0-.296-.06-.355-.178l-5.913-13.6c-.384-.857-.768-1.418-1.182-1.773C1.567 1.035 1.005.798.266.74.206.74.148.71.09.65A.336.336 0 0 1 0 .414C0 .207.06.089.177.089c.533 0 1.094.03 1.656.059a13.4 13.4 0 0 0 1.508.059c.473 0 1.034-.03 1.714-.06C5.735.09 6.356.09 6.888.09c.119 0 .178.118.178.325 0 .207-.03.325-.118.325-.533.03-.947.177-1.242.414-.296.237-.444.532-.444.887 0 .177.06.414.178.71l4.907 11.056 2.78-5.262-2.602-5.44c-.473-.975-.858-1.596-1.153-1.862-.296-.296-.74-.444-1.36-.532-.06 0-.118-.03-.178-.09-.059-.058-.059-.147-.059-.236 0-.207.06-.325.178-.325.532 0 1.005.03 1.448.06.414.058.887.058 1.36.058.473 0 .976-.03 1.508-.059C12.801.06 13.363.06 13.866.06c.118 0 .177.118.177.325 0 .207-.03.326-.118.326-1.065.059-1.597.384-1.597.886 0 .237.118.592.355 1.094l1.715 3.489 1.714-3.193c.237-.444.355-.828.355-1.123 0-.74-.532-1.124-1.596-1.153-.089 0-.148-.119-.148-.326 0-.088.03-.147.059-.236.06-.06.089-.118.148-.118.384 0 .857.03 1.39.059.531.059.975.059 1.3.059.237 0 .591-.03 1.064-.06A15.595 15.595 0 0 1 20.192 0c.089 0 .148.089.148.296 0 .266-.089.384-.266.384-.62.06-1.123.236-1.478.503-.385.266-.828.916-1.39 1.892L14.93 7.273l3.074 6.267 4.553-10.554c.148-.384.237-.74.237-1.064 0-.769-.532-1.183-1.597-1.242-.088 0-.148-.118-.148-.325 0-.207.06-.325.207-.325.385 0 .858.03 1.36.059.503.059.887.059 1.242.059s.74-.03 1.212-.06c.473-.058.887-.058 1.271-.058.207.059.237.147.237.325Zm3.4 15.905c0 .148-.03.237-.118.237-.385 0-.799-.03-1.33-.06-.474-.029-.888-.059-1.242-.059-.326 0-.74.03-1.242.06-.503.03-.946.059-1.33.059-.09 0-.119-.089-.119-.237s.03-.207.118-.236c.68-.089 1.124-.207 1.36-.385.237-.177.355-.502.355-1.034V6.829c0-.384-.059-.65-.148-.798a.992.992 0 0 0-.502-.384 4.839 4.839 0 0 0-1.065-.237c-.088 0-.118-.088-.118-.236s.03-.237.118-.237c.385 0 .828.03 1.33.06.474.029.888.058 1.242.058.326 0 .74-.03 1.242-.059.503-.03.946-.059 1.33-.059.09 0 .119.089.119.237s-.03.236-.118.236c-.473.06-.828.118-1.065.237-.236.088-.414.207-.502.354-.089.148-.148.414-.148.828v7.776c0 .384.059.65.148.798.088.148.266.266.502.384.237.089.591.148 1.065.207.059.06.118.118.118.266Zm13.984 0c0 .148-.03.237-.119.237-.384 0-.798-.03-1.33-.06-.503-.029-.916-.059-1.242-.059-.325 0-.768.03-1.36.06-.591.03-1.093.059-1.448.059-.089 0-.119-.089-.119-.237s.03-.207.119-.236c.739-.089 1.123-.266 1.123-.533 0-.147-.118-.354-.355-.59L35.95 11.56c-.178-.178-.325-.296-.473-.355-.118-.06-.296-.089-.532-.089v3.518c0 .384.059.65.147.798.09.148.267.266.503.385.236.088.591.147 1.064.207.089 0 .148.088.148.236s-.03.237-.118.237c-.385 0-.798-.03-1.33-.06-.503-.029-.917-.059-1.242-.059-.325 0-.74.03-1.212.06-.503.03-.946.059-1.33.059-.09 0-.119-.089-.119-.237s.03-.207.118-.236c.68-.089 1.124-.207 1.36-.385.237-.177.355-.502.355-1.034V6.829c0-.384-.06-.65-.148-.798a.993.993 0 0 0-.502-.384 4.84 4.84 0 0 0-1.065-.237c-.088 0-.118-.088-.118-.236s.03-.237.118-.237c.385 0 .799.03 1.33.06.474.029.888.058 1.213.058.325 0 .739-.03 1.242-.059.502-.03.945-.059 1.33-.059.089 0 .118.089.118.237s-.03.236-.118.236c-.473.06-.828.118-1.064.237-.237.088-.414.207-.503.384-.089.148-.148.414-.148.798v3.755c.207 0 .385-.03.532-.089a1.9 1.9 0 0 0 .473-.355l3.637-3.577c.295-.295.443-.473.443-.62 0-.148-.059-.267-.207-.326-.148-.089-.414-.148-.857-.207-.089 0-.118-.088-.118-.236s.059-.237.147-.237c.267 0 .592.03 1.035.06.444.029.828.058 1.124.058.295 0 .62-.03 1.005-.059.295-.03.561-.03.768-.03.09 0 .119.09.119.237 0 .148-.03.237-.119.237-.532.059-.946.177-1.241.325-.296.148-.68.414-1.094.828L36.837 10.2l4.7 4.76c.325.354.65.59.946.738.326.148.799.266 1.42.326.029.03.059.088.059.236Zm6.385 0c0 .148-.03.237-.118.237-.384 0-.798-.03-1.33-.06-.473-.029-.887-.059-1.242-.059-.325 0-.739.03-1.242.06-.502.03-.946.059-1.33.059-.089 0-.118-.089-.118-.237s.03-.207.118-.236c.68-.089 1.123-.207 1.36-.385.236-.177.355-.502.355-1.034V6.829c0-.384-.06-.65-.148-.798a.993.993 0 0 0-.503-.384 4.84 4.84 0 0 0-1.064-.237c-.089 0-.118-.088-.118-.236s.03-.237.118-.237c.384 0 .828.03 1.33.06.473.029.887.058 1.242.058.325 0 .74-.03 1.242-.059.502-.03.946-.059 1.33-.059.089 0 .118.089.118.237s-.03.236-.118.236c-.473.06-.828.118-1.064.237-.237.088-.414.207-.503.354-.088.148-.148.414-.148.828v7.776c0 .384.06.65.148.798.089.148.266.266.503.384.236.089.591.148 1.064.207.06.06.118.118.118.266Zm8.751-3.104c0 1.094-.325 1.98-.975 2.631-.65.65-1.538.976-2.631.976-.503 0-1.065-.089-1.774-.266a5.563 5.563 0 0 0-1.538-.237 29.9 29.9 0 0 0-.207-2.808c0-.09.09-.119.237-.119.118 0 .177.03.207.119.295 1.034.68 1.744 1.153 2.158.473.414 1.123.62 1.951.62.68 0 1.183-.206 1.537-.59.385-.385.562-.917.562-1.627 0-.443-.148-.857-.473-1.241-.325-.385-1.005-.887-2.04-1.479-1.212-.68-1.98-1.27-2.365-1.744a2.451 2.451 0 0 1-.562-1.596 2.97 2.97 0 0 1 1.005-2.277c.68-.62 1.508-.946 2.543-.946.384 0 .828.06 1.33.148.473.089.887.148 1.212.148.06.975.148 1.833.267 2.572 0 .089-.06.118-.207.118-.148 0-.237-.03-.266-.118-.178-.828-.444-1.42-.828-1.774-.384-.355-.887-.532-1.537-.532-.621 0-1.124.177-1.479.532-.355.355-.532.857-.532 1.478 0 .385.148.769.444 1.124.295.354.975.828 1.98 1.419 1.212.71 2.01 1.3 2.365 1.774.414.443.621.975.621 1.537Zm13.541-2.366c0 1.745-.562 3.194-1.685 4.288-1.124 1.123-2.602 1.655-4.406 1.655-1.803 0-3.281-.561-4.405-1.655-1.123-1.124-1.685-2.543-1.685-4.287 0-1.744.562-3.193 1.685-4.346 1.124-1.153 2.602-1.715 4.405-1.715 1.804 0 3.282.562 4.406 1.715 1.123 1.153 1.685 2.602 1.685 4.346Zm-1.804 0c0-1.625-.384-2.956-1.182-3.99-.799-1.035-1.804-1.538-3.105-1.538-1.27 0-2.306.503-3.104 1.538-.768 1.034-1.153 2.365-1.153 3.99 0 1.627.385 2.928 1.153 3.933.769 1.005 1.804 1.508 3.104 1.508 1.301 0 2.336-.503 3.105-1.508.768-1.005 1.182-2.306 1.182-3.932ZM86.12 5.203c0 .148-.03.237-.119.237-.71.088-1.153.207-1.389.384-.236.177-.355.503-.355 1.005v5.204c0 1.478-.355 2.63-1.064 3.459-.71.827-1.715 1.241-3.016 1.241-1.478 0-2.63-.384-3.459-1.182-.827-.799-1.241-1.893-1.241-3.252v-5.47c0-.384-.06-.65-.148-.798a.993.993 0 0 0-.503-.384 4.84 4.84 0 0 0-1.064-.237c-.089 0-.118-.088-.118-.236s.03-.237.118-.237c.384 0 .798.03 1.33.06.473.029.887.058 1.242.058.325 0 .74-.03 1.242-.059.502-.03.946-.059 1.33-.059.089 0 .118.089.118.237s-.03.236-.118.236c-.473.06-.828.118-1.064.237-.237.088-.414.207-.503.384-.088.148-.148.414-.148.798v5.233c0 1.36.266 2.365.77 2.986.502.62 1.359.946 2.512.946 2.188 0 3.282-1.39 3.282-4.139V6.83c0-.502-.119-.857-.385-1.034-.236-.178-.71-.296-1.39-.385-.088 0-.118-.088-.118-.236s.03-.237.119-.237c.266 0 .591.03 1.005.06.414.029.769.058 1.035.058.266 0 .591-.03 1.005-.059.414-.03.739-.059 1.035-.059.03.03.059.118.059.266ZM98.33 16.26c0 .148-.03.237-.119.237-.207 0-.532-.03-1.005-.06-.325-.029-.562-.029-.68-.029-.148 0-.414.03-.739.06-.355.029-.591.058-.739.058l-2.513-4.08c-.355-.561-.65-.916-.857-1.093-.207-.148-.65-.237-1.301-.237v3.548c0 .384.06.65.148.798.088.148.266.266.502.384.237.089.592.148 1.065.207.088 0 .148.089.148.237s-.03.236-.119.236c-.384 0-.798-.03-1.33-.059-.503-.03-.917-.059-1.242-.059-.325 0-.739.03-1.242.06-.502.029-.946.058-1.33.058-.089 0-.118-.088-.118-.236s.03-.207.118-.237c.444-.059.798-.118 1.064-.207.237-.088.414-.207.503-.384.089-.148.148-.414.148-.798V6.888c0-.384-.06-.65-.148-.798a.993.993 0 0 0-.503-.384 4.84 4.84 0 0 0-1.064-.237c-.089 0-.118-.088-.118-.236s.03-.237.118-.237c.384 0 .798.03 1.33.06.474.029.887.059 1.242.059.325 0 .74-.03 1.242-.06s.946-.059 1.33-.059c1.242 0 2.188.266 2.868.799.68.532 1.005 1.241 1.005 2.187 0 .592-.236 1.153-.71 1.656-.473.502-1.093.887-1.892 1.182l2.661 4.08c.207.355.503.621.858.798.354.178.798.296 1.36.355 0 0 .059.06.059.207Zm-4.228-8.307c0-1.626-.71-2.425-2.099-2.425-.473 0-.828.03-1.064.119-.237.059-.385.177-.473.354-.09.148-.119.444-.119.858v3.695c.326.03.71.06 1.213.06.886 0 1.537-.208 1.95-.621.385-.444.592-1.124.592-2.04Zm14.871 5.469c-.207.887-.385 1.833-.592 2.809-.325 0-.887.088-1.714.236-1.065.207-1.833.296-2.365.296-1.272 0-2.366-.237-3.312-.74a5.491 5.491 0 0 1-2.217-2.128c-.532-.916-.798-1.951-.798-3.075 0-1.123.266-2.128.828-3.074a5.664 5.664 0 0 1 2.306-2.188c.975-.532 2.099-.798 3.311-.798.532 0 1.212.059 2.099.177.68.089 1.182.118 1.478.118.059.77.207 1.715.384 2.809 0 .089-.088.118-.266.118-.118 0-.177-.03-.207-.118a3.482 3.482 0 0 0-1.271-1.863 3.81 3.81 0 0 0-2.276-.739c-1.301 0-2.395.533-3.282 1.597s-1.33 2.395-1.33 3.932c0 1.508.443 2.779 1.301 3.843.857 1.064 1.951 1.567 3.192 1.567 1.981 0 3.371-.946 4.199-2.809.029-.088.118-.118.236-.118.237.03.296.06.296.148Zm11.027.325a27.734 27.734 0 0 0-1.094 2.72 178.552 178.552 0 0 0-4.434-.089c-.858 0-2.366.03-4.435.09-.089 0-.118-.09-.118-.237 0-.148.029-.207.118-.237.443-.059.798-.118 1.064-.207.237-.089.414-.207.503-.384.089-.148.148-.414.148-.798V6.829c0-.384-.059-.65-.148-.798a.993.993 0 0 0-.503-.384 4.83 4.83 0 0 0-1.064-.237c-.089 0-.118-.088-.118-.236s.029-.237.118-.237c1.389.06 2.809.089 4.257.089 1.478 0 2.897-.03 4.287-.089.118.858.325 1.685.562 2.543 0 .118-.089.177-.296.177-.089 0-.148-.03-.177-.118-.414-1.301-1.272-1.951-2.602-1.951h-1.685c-.651 0-.946.325-.946 1.005v3.695h2.099c.562 0 .916-.118 1.123-.384.207-.266.325-.71.414-1.36 0-.089.089-.118.237-.118.147 0 .236.03.236.118 0 .266-.029.62-.059 1.035-.03.414-.059.739-.059.975 0 .266.029.592.059 1.005.03.444.059.799.059 1.065 0 .088-.089.118-.236.118-.148 0-.237-.03-.237-.118-.089-.68-.236-1.153-.443-1.42-.207-.265-.562-.413-1.094-.413h-2.099v4.08c0 .65.325.975.946.975h1.803c.651 0 1.301-.207 1.951-.65.651-.444 1.124-.976 1.42-1.597.029-.059.059-.088.147-.088.089 0 .148.03.207.059.059.088.089.118.089.177Z"/></svg> style=width:7.5em;height:1.0625em> </span> </a>
|
||
</div>
|
||
<div class=vector-header-end>
|
||
<div id=p-search role=search class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"><a href="https://de-wikisource-org.translate.goog/wiki/Spezial:Suche?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle sf-hidden" title="Browse Wikisource [Alt+Shift+f]" accesskey=f> </a>
|
||
<div class=vector-typeahead-search-container>
|
||
<div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width">
|
||
<form action=/w/index.php id=searchform class="cdx-search-input cdx-search-input--has-end-button">
|
||
<div id=simpleSearch class=cdx-search-input__input-wrapper data-search-loc=header-moved>
|
||
<div class="cdx-text-input cdx-text-input--has-start-icon"><input class=cdx-text-input__input type=search name=search placeholder="Search Wikisource" aria-label="Search Wikisource" autocapitalize=sentences title="Search Wikisource [Alt+Shift+f]" accesskey=f id=searchInput autocomplete=off value> <span class="cdx-text-input__icon cdx-text-input__start-icon"></span>
|
||
</div>
|
||
</div><button class="cdx-button cdx-search-input__end-button"><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Lake</font></font></button>
|
||
</form>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<nav class="vector-user-links vector-user-links-wide" aria-label="Personal tools" role=navigation>
|
||
<div class=vector-user-links-main>
|
||
<div id=p-vector-user-menu-preferences class="vector-menu mw-portlet emptyPortlet sf-hidden">
|
||
|
||
</div>
|
||
<div id=p-vector-user-menu-userpage class="vector-menu mw-portlet emptyPortlet sf-hidden">
|
||
|
||
</div>
|
||
<nav class=vector-appearance-landmark aria-label=Appearance>
|
||
</nav>
|
||
<div id=p-vector-user-menu-notifications class="vector-menu mw-portlet emptyPortlet sf-hidden">
|
||
|
||
</div>
|
||
<div id=p-vector-user-menu-overflow class="vector-menu mw-portlet">
|
||
<div class=vector-menu-content>
|
||
<ul class=vector-menu-content-list>
|
||
<li id=pt-createaccount-2 class="user-links-collapsible-item mw-list-item"><a data-mw=interface href="https://de-wikisource-org.translate.goog/w/index.php?title=Spezial:Benutzerkonto_anlegen&returnto=Translatorische+Bewegung+des+Licht%C3%A4thers&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="We encourage you to create an account and log in. However, it is not mandatory." data-moz-translations-id=0><span data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3>create account</font></font></span></a></li>
|
||
<li id=pt-login-2 class="user-links-collapsible-item mw-list-item"><a data-mw=interface href="https://de-wikisource-org.translate.goog/w/index.php?title=Spezial:Anmelden&returnto=Translatorische+Bewegung+des+Licht%C3%A4thers&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="Registration is welcome, but is not mandatory. [Alt+Shift+o]" accesskey=o data-moz-translations-id=0><span data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3>Register</font></font></span></a></li>
|
||
</ul>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<div id=vector-user-links-dropdown class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="More options"><input type=checkbox id=vector-user-links-dropdown-checkbox role=button aria-haspopup=true data-event-name=ui.dropdown-vector-user-links-dropdown class=vector-dropdown-checkbox aria-label="Personal tools"> <label id=vector-user-links-dropdown-label for=vector-user-links-dropdown-checkbox class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" aria-hidden=true><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class=vector-dropdown-label-text><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Personal tools</font></font></span> </label>
|
||
<div class=vector-dropdown-content>
|
||
<div id=p-personal class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item sf-hidden" title="User menu">
|
||
|
||
|
||
|
||
</div>
|
||
<div id=p-user-menu-anon-editor class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor">
|
||
<div class=vector-menu-heading>
|
||
<font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Pages for logged out users</font></font> <a href="https://de-wikisource-org.translate.goog/wiki/Hilfe:Einf%C3%BChrung?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" aria-label="Learn more about editing" data-moz-translations-id=2><span data-moz-translations-id=3><font style=vertical-align:inherit data-moz-translations-id=4><font style=vertical-align:inherit data-moz-translations-id=5>More information</font></font></span></a></div>
|
||
<div class=vector-menu-content>
|
||
<ul class=vector-menu-content-list>
|
||
<li id=pt-anoncontribs class=mw-list-item><a href="https://de-wikisource-org.translate.goog/wiki/Spezial:Meine_Beitr%C3%A4ge?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="A list of edits made from this IP address [Alt+Shift+y]" accesskey=y><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Posts</font></font></span></a></li>
|
||
<li id=pt-anontalk class=mw-list-item><a href="https://de-wikisource-org.translate.goog/wiki/Spezial:Meine_Diskussionsseite?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="Discussion about changes from this IP address [Alt+Shift+n]" accesskey=n><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Talk page</font></font></span></a></li>
|
||
</ul>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
</nav>
|
||
</div>
|
||
</header>
|
||
</div>
|
||
<div class=mw-page-container>
|
||
<div class=mw-page-container-inner>
|
||
<div class=vector-sitenotice-container>
|
||
<div id=siteNotice class=notheme><div id=centralNotice></div>
|
||
|
||
</div>
|
||
</div>
|
||
<div class=vector-column-start>
|
||
<div class=vector-main-menu-container>
|
||
<div id=mw-navigation>
|
||
<nav id=mw-panel class="vector-main-menu-landmark sf-hidden" aria-label=website role=navigation>
|
||
|
||
</nav>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<div class=mw-content-container>
|
||
<main id=content class=mw-body role=main>
|
||
<header class="mw-body-header vector-page-titlebar">
|
||
<h1 id=firstHeading class="firstHeading mw-first-heading"><span class=mw-page-title-main data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2>Translational movement of the light ether</font></font></span></h1>
|
||
<div id=p-lang-btn class="vector-dropdown mw-portlet mw-portlet-lang"><input type=checkbox id=p-lang-btn-checkbox role=button aria-haspopup=true data-event-name=ui.dropdown-p-lang-btn class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="This article only exists in this language. Add the article for other languages"> <label id=p-lang-btn-label for=p-lang-btn-checkbox class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-0" aria-hidden=true><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class=vector-dropdown-label-text><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Add languages</font></font></span> </label>
|
||
<div class="vector-dropdown-content sf-hidden">
|
||
|
||
|
||
|
||
|
||
|
||
</div>
|
||
</div>
|
||
</header>
|
||
<div class=vector-page-toolbar>
|
||
<div class=vector-page-toolbar-container>
|
||
<div id=left-navigation>
|
||
<nav aria-label=Namespaces>
|
||
<div id=p-associated-pages class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages">
|
||
<div class=vector-menu-content>
|
||
<ul class=vector-menu-content-list>
|
||
<li id=ca-nstab-main class="selected vector-tab-noicon mw-list-item"><a href="https://de-wikisource-org.translate.goog/wiki/Translatorische_Bewegung_des_Licht%C3%A4thers?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="Show page content [Alt+Shift+c]" accesskey=c><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Source text</font></font></span></a></li>
|
||
<li id=ca-proofread-source class="vector-tab-noicon mw-list-item"><a title="The scanned edition was used to create this text." href="https://de-wikisource-org.translate.goog/wiki/Index:Translatorische_Bewegung_des_Licht%C3%A4thers.djvu?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>index</font></font></span></a></li>
|
||
<li id=ca-talk class="new vector-tab-noicon mw-list-item"><a href="https://de-wikisource-org.translate.goog/w/index.php?title=Diskussion:Translatorische_Bewegung_des_Licht%C3%A4thers&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" rel=discussion title="Discussion about page content (page does not exist) [Alt+Shift+t]" accesskey=t><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>discussion</font></font></span></a></li>
|
||
</ul>
|
||
</div>
|
||
</div>
|
||
<div id=p-variants class="vector-dropdown emptyPortlet sf-hidden">
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
</div>
|
||
</nav>
|
||
</div>
|
||
<div id=right-navigation class=vector-collapsible>
|
||
<nav aria-label=Views>
|
||
<div id=p-views class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views">
|
||
<div class=vector-menu-content>
|
||
<ul class=vector-menu-content-list>
|
||
<li id=ca-view class="selected vector-tab-noicon mw-list-item"><a href="https://de-wikisource-org.translate.goog/wiki/Translatorische_Bewegung_des_Licht%C3%A4thers?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>To read</font></font></span></a></li>
|
||
<li id=ca-viewsource class="vector-tab-noicon mw-list-item"><a href="https://de-wikisource-org.translate.goog/w/index.php?title=Translatorische_Bewegung_des_Licht%C3%A4thers&action=edit&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="This page is protected. Your source code can still be viewed and copied. [Alt+Shift+e]" accesskey=e><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>View source code</font></font></span></a></li>
|
||
<li id=ca-history class="vector-tab-noicon mw-list-item"><a href="https://de-wikisource-org.translate.goog/w/index.php?title=Translatorische_Bewegung_des_Licht%C3%A4thers&action=history&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="Previous versions of this page [Alt+Shift+h]" accesskey=h><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>history</font></font></span></a></li>
|
||
</ul>
|
||
</div>
|
||
</div>
|
||
</nav>
|
||
<nav class=vector-page-tools-landmark aria-label="Page tools">
|
||
<div id=vector-page-tools-dropdown class="vector-dropdown vector-page-tools-dropdown"><input type=checkbox id=vector-page-tools-dropdown-checkbox role=button aria-haspopup=true data-event-name=ui.dropdown-vector-page-tools-dropdown class=vector-dropdown-checkbox aria-label=Tools> <label id=vector-page-tools-dropdown-label for=vector-page-tools-dropdown-checkbox class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden=true><span class=vector-dropdown-label-text><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Tools</font></font></span> </label>
|
||
<div class=vector-dropdown-content>
|
||
<div id=vector-page-tools-unpinned-container class=vector-unpinned-container>
|
||
<div id=vector-page-tools class="vector-page-tools vector-pinnable-element">
|
||
<div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name=page-tools-pinned data-pinnable-element-id=vector-page-tools data-pinned-container-id=vector-page-tools-pinned-container data-unpinned-container-id=vector-page-tools-unpinned-container data-saved-pinned-state=false>
|
||
<div class=vector-pinnable-header-label>
|
||
<font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Tools</font></font>
|
||
</div><button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name=pinnable-header.vector-page-tools.pin><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Move to sidebar</font></font></button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button sf-hidden" data-event-name=pinnable-header.vector-page-tools.unpin>Hide</button>
|
||
</div>
|
||
<div id=p-cactions class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items sf-hidden" title="Other options">
|
||
|
||
|
||
|
||
|
||
|
||
|
||
</div>
|
||
<div class=portlet id=p-displayOptions><h3 class=vector-menu-heading><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Display options</font></font></h3><div class=pBody><ul id=optlist><li class="mw-list-item mw-list-item-js" id=option-pageNumbers><a href=javascript:void(0) accesskey=n><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Hide page numbers</font></font></span></a></ul></div></div><div id=p-tb class="vector-menu mw-portlet mw-portlet-tb">
|
||
<div class=vector-menu-heading>
|
||
<font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Generally</font></font>
|
||
</div>
|
||
<div class=vector-menu-content>
|
||
<ul class=vector-menu-content-list>
|
||
<li id=t-whatlinkshere class=mw-list-item><a href="https://de-wikisource-org.translate.goog/wiki/Spezial:Linkliste/Translatorische_Bewegung_des_Licht%C3%A4thers?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="List of all pages that link here [Alt+Shift+j]" accesskey=j><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Links to this page</font></font></span></a></li>
|
||
<li id=t-recentchangeslinked class=mw-list-item><a href="https://de-wikisource-org.translate.goog/wiki/Spezial:%C3%84nderungen_an_verlinkten_Seiten/Translatorische_Bewegung_des_Licht%C3%A4thers?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" rel=nofollow title="Recent changes to pages linked from here [Alt+Shift+k]" accesskey=k><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Changes to Linked Sites</font></font></span></a></li>
|
||
<li id=t-upload class=mw-list-item><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=https://commons.wikimedia.org/wiki/Special:UploadWizard?uselang%3Dde" title="Upload files [Alt+Shift+u]" accesskey=u><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Upload file</font></font></span></a></li>
|
||
<li id=t-specialpages class=mw-list-item><a href="https://de-wikisource-org.translate.goog/wiki/Spezial:Spezialseiten?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="List of all special pages [Alt+Shift+q]" accesskey=q><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Special pages</font></font></span></a></li>
|
||
<li id=t-permalink class=mw-list-item><a href="https://de-wikisource-org.translate.goog/w/index.php?title=Translatorische_Bewegung_des_Licht%C3%A4thers&oldid=1857817&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="Permanent link to this page version"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>permanent link</font></font></span></a></li>
|
||
<li id=t-info class=mw-list-item><a href="https://de-wikisource-org.translate.goog/w/index.php?title=Translatorische_Bewegung_des_Licht%C3%A4thers&action=info&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="More information about this page"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Page information</font></font></span></a></li>
|
||
<li id=t-cite class="mw-list-item sf-hidden"></li>
|
||
<li id=t-urlshortener class=mw-list-item><a href="https://de-wikisource-org.translate.goog/w/index.php?title=Spezial:URL-K%C3%BCrzung&url=https://de.wikisource.org/wiki/Translatorische_Bewegung_des_Licht%25C3%25A4thers&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" aria-haspopup=dialog><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Get shortened URL</font></font></span></a></li>
|
||
<li id=t-urlshortener-qrcode class=mw-list-item><a href="https://de-wikisource-org.translate.goog/w/index.php?title=Spezial:QrCode&url=https://de.wikisource.org/wiki/Translatorische_Bewegung_des_Licht%25C3%25A4thers&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Download QR code</font></font></span></a></li>
|
||
<li id=t-wikibase class=mw-list-item><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=https://www.wikidata.org/wiki/Special:EntityPage/Q19230778" title="Link to the connected object in the data repository [Alt+Shift+g]" accesskey=g><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Wikidata data object</font></font></span></a></li>
|
||
<li class="mw-list-item mw-list-item-js"><a href=https://mediawiki2latex.wmflabs.org/fill/https%3A%2F%2Fde.wikisource.org%2Fwiki%2FTranslatorische_Bewegung_des_Licht%25C3%25A4thers><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Multi format export</font></font></span></a><li class="mw-list-item mw-list-item-js" id=wbc-editpage><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=https://www.wikidata.org/wiki/Special:EntityPage/Q19230778%23sitelinks-wikisource" title="Add links to pages in other languages"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Add links to pages in other languages</font></font></span></a></ul>
|
||
</div>
|
||
</div>
|
||
<div id=p-electronpdfservice-sidebar-portlet-heading class="vector-menu mw-portlet mw-portlet-electronpdfservice-sidebar-portlet-heading">
|
||
<div class=vector-menu-heading>
|
||
<font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Print/export</font></font>
|
||
</div>
|
||
<div class=vector-menu-content>
|
||
<ul class=vector-menu-content-list>
|
||
<li id=t-print class=mw-list-item><a href=javascript:void(0) rel=alternate title="Print view of this page [Alt+Shift+p]" accesskey=p><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Printable version</font></font></span></a></li>
|
||
<li id=wikisource-download-epub class=mw-list-item><a title="Download EPUB version of this work" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=https://ws-export.wmcloud.org/?format%3Depub%26lang%3Dde%26page%3DTranslatorische_Bewegung_des_Licht%25C3%25A4thers"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Download EPUB</font></font></span></a></li>
|
||
<li id=wikisource-download-mobi class=mw-list-item><a title="Download a MOBI version of this work" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=https://ws-export.wmcloud.org/?format%3Dmobi%26lang%3Dde%26page%3DTranslatorische_Bewegung_des_Licht%25C3%25A4thers"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Download MOBI</font></font></span></a></li>
|
||
<li id=wikisource-download-pdf class=mw-list-item><a title="Download a PDF version of this work" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=https://ws-export.wmcloud.org/?format%3Dpdf%26lang%3Dde%26page%3DTranslatorische_Bewegung_des_Licht%25C3%25A4thers"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>download PDF</font></font></span></a></li>
|
||
<li id=wikisource-download-choose class=mw-list-item><a title="Open a form to select other formats and fonts, etc." href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=https://ws-export.wmcloud.org/?lang%3Dde%26title%3DTranslatorische_Bewegung_des_Licht%25C3%25A4thers"><span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Other formats</font></font></span></a></li>
|
||
</ul>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
</nav>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<div class=vector-column-end>
|
||
<div class=vector-sticky-pinned-container>
|
||
<nav class="vector-page-tools-landmark sf-hidden" aria-label="Page tools">
|
||
|
||
</nav>
|
||
<nav class="vector-appearance-landmark sf-hidden" aria-label=Appearance>
|
||
</nav>
|
||
</div>
|
||
</div>
|
||
<div id=bodyContent class="vector-body ve-init-mw-desktopArticleTarget-targetContainer" aria-labelledby=firstHeading data-mw-ve-target-container>
|
||
<div class=vector-body-before-content>
|
||
<div class=mw-indicators>
|
||
<div id=mw-indicator-~ext-wikisource-download class=mw-indicator>
|
||
<span class="ext-wikisource-download-button oo-ui-widget oo-ui-widget-enabled oo-ui-buttonElement oo-ui-buttonElement-framed oo-ui-labelElement oo-ui-flaggedElement-primary oo-ui-flaggedElement-progressive oo-ui-buttonWidget" id=ooui-php-1 data-ooui><a class=oo-ui-buttonElement-button role=button tabindex=0 rel=nofollow><span class="oo-ui-iconElement-icon oo-ui-iconElement-noIcon oo-ui-image-invert sf-hidden" data-moz-translations-id=0></span><span class=oo-ui-labelElement-label data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3>Download</font></font></span><span class="oo-ui-indicatorElement-indicator oo-ui-indicatorElement-noIndicator oo-ui-image-invert sf-hidden" data-moz-translations-id=4></span></a></span>
|
||
</div>
|
||
</div>
|
||
<div id=siteSub class="noprint sf-hidden">from Wikisource, the free source collection</div>
|
||
</div>
|
||
<div id=contentSub>
|
||
<div id=mw-content-subtitle>
|
||
<table class="pr_quality sf-hidden" title="18 confirmed pages, 0 pced-fixed pages and 0 non-correction-read pages">
|
||
|
||
</table>
|
||
</div>
|
||
</div>
|
||
<div id=mw-content-text class=mw-body-content style=position:relative><div id=my-ct></div>
|
||
<div class="mw-content-ltr mw-parser-output" lang=de dir=ltr>
|
||
<div id=textdaten style=float:right class="noprint ws-noexport">
|
||
<table width=280px style=margin:0;margin-left:0.5em;margin-bottom:0.5em>
|
||
<tbody>
|
||
<tr>
|
||
<td>
|
||
Illustrator:
|
||
ILLUSTRATORSubtitles:
|
||
Edition:
|
||
Release date:
|
||
Printers:
|
||
DRUCKERTranslator:
|
||
Original title:
|
||
Original subtitle:
|
||
Original origin:
|
||
Short description:
|
||
SHORT DESCRIPTIONSOCTIVEEntry in the : Image<table width=100% border=1 cellpadding=2 cellspacing=0 style="border-collapse:collapse;border-style:1px solid;border-color:#AAAAAA;background-color:#fff;font-size:100%;color:#191919">
|
||
<tbody>
|
||
<tr>
|
||
<th colspan=2 bgcolor=#B0C4DE><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Text data</font></font></th>
|
||
</tr>
|
||
<tr valign=top class="hiddenStructure sf-hidden">
|
||
|
||
|
||
</tr>
|
||
<tr valign=top>
|
||
<td width=40%><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Author:</font></font></td>
|
||
<td width=60%><b data-moz-translations-id=0><span id=ws-author data-moz-translations-id=1><a href="https://de-wikisource-org.translate.goog/wiki/Wilhelm_Wien?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="Wilhelm Vienna" data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3><font style=vertical-align:inherit data-moz-translations-id=4>Wilhelm Vienna</font></font></a></span></b> </td>
|
||
</tr>
|
||
<tr valign=top class="hiddenStructure sf-hidden"></tr>
|
||
<tr valign=top>
|
||
<td><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Title:</font></font></td>
|
||
<td><b data-moz-translations-id=0><span id=ws-title data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3>About the questions that concern the translational movement of the light ether</font></font></span></b></td>
|
||
</tr>
|
||
<tr valign=top class="hiddenStructure sf-hidden"></tr>
|
||
<tr valign=top>
|
||
<td><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>out of:</font></font></td>
|
||
<td><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Annals of Physics 301 (supplement), 1898, pp. I-XVIII</font></font></td>
|
||
</tr>
|
||
<tr valign=top>
|
||
<td><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Editor:</font></font></td>
|
||
<td><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>G. and E. Wiedemann</font></font></td>
|
||
</tr>
|
||
<tr valign=top class="hiddenStructure sf-hidden"></tr>
|
||
<tr valign=top>
|
||
<td><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Date of creation:</font></font></td>
|
||
<td><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>1898</font></font></td>
|
||
</tr>
|
||
<tr valign=top class="hiddenStructure sf-hidden"></tr>
|
||
<tr valign=top>
|
||
<td><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Publisher:</font></font></td>
|
||
<td><span id=ws-publisher data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2>John Ambr. Bart</font></font></span></td>
|
||
</tr>
|
||
<tr valign=top class="hiddenStructure sf-hidden"></tr>
|
||
<tr valign=top>
|
||
<td><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Place of publication:</font></font></td>
|
||
<td><span id=ws-place data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2>Leipzig</font></font></span></td>
|
||
</tr>
|
||
<tr valign=top class="hiddenStructure sf-hidden"></tr>
|
||
<tr valign=top class="hiddenStructure sf-hidden"></tr>
|
||
<tr valign=top class="hiddenStructure sf-hidden"></tr>
|
||
<tr valign=top class="hiddenStructure sf-hidden"></tr>
|
||
<tr valign=top>
|
||
<td><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Source:</font></font></td>
|
||
<td><span id=ws-scan data-moz-translations-id=0><a rel=nofollow class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=http://gallica.bnf.fr/ark:/12148/bpt6k153068.image.f976" data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3>Gallica</font></font></a> <font style=vertical-align:inherit data-moz-translations-id=4><font style=vertical-align:inherit data-moz-translations-id=5>,</font></font> <a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=https://commons.wikimedia.org/wiki/File:Translatorische_Bewegung_des_Licht%25C3%25A4thers.djvu" class=extiw title="commons:File:Translatory movement of the light ether.djvu" data-moz-translations-id=6><font style=vertical-align:inherit data-moz-translations-id=7><font style=vertical-align:inherit data-moz-translations-id=8>Commons</font></font></a></span></td>
|
||
</tr>
|
||
<tr valign=top class="hiddenStructure sf-hidden"></tr>
|
||
<tr valign=top class="hiddenStructure sf-hidden"></tr>
|
||
<tr valign=top>
|
||
<td colspan=2>
|
||
<div class=center> <span typeof=mw:File data-moz-translations-id=0><a href="https://de-wikisource-org.translate.goog/wiki/Datei:Wikipedia-logo-v2.svg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" class=mw-file-description data-moz-translations-id=1><img src="data:image/png;base64,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" decoding=async width=20 height=18 class=mw-file-element srcset data-file-width=103 data-file-height=94 data-moz-translations-id=2 sizes></a></span><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=https://de.wikipedia.org/wiki/%25C3%2584ther_(Physik)" class=extiw title="w:ether (physics)" data-moz-translations-id=3><font style=vertical-align:inherit data-moz-translations-id=4><font style=vertical-align:inherit data-moz-translations-id=5>Article in Wikipedia</font></font></a></div></td>
|
||
</tr>
|
||
<tr valign=top class="hiddenStructure sf-hidden"></tr>
|
||
<tr class="hiddenStructure sf-hidden"></tr>
|
||
<tr class="hiddenStructure sf-hidden">
|
||
|
||
|
||
</tr>
|
||
<tr>
|
||
<th colspan=2 bgcolor=#f9f9f9><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Processing status</font></font></th>
|
||
</tr>
|
||
<tr>
|
||
<td colspan=2 align=center><span style=color:#669966 data-moz-translations-id=0><b data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3>complete</font></font></b></span></td>
|
||
</tr>
|
||
<tr>
|
||
<td colspan=2 style=background-color:#f3f3f3 align=justify>
|
||
<div style=font-size:80%;height:auto;color:#669966><b data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2>Complete!</font></font></b> <font style=vertical-align:inherit data-moz-translations-id=3><font style=vertical-align:inherit data-moz-translations-id=4>This text has been</font></font> <a href="https://de-wikisource-org.translate.goog/wiki/Hilfe:Korrekturlesen?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title=Help:Proofreading data-moz-translations-id=5><font style=vertical-align:inherit data-moz-translations-id=6><font style=vertical-align:inherit data-moz-translations-id=7>read twice on the basis of source correction</font></font></a> <font style=vertical-align:inherit data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9>. The notation follows the original text.</font></font>
|
||
</div></td>
|
||
</tr>
|
||
<tr class="hiddenStructure sf-hidden"></tr>
|
||
<tr>
|
||
<th colspan=2 bgcolor=#f9f9f9 align=center><span id=textdaten_index data-moz-translations-id=0><a href="https://de-wikisource-org.translate.goog/wiki/Index:Translatorische_Bewegung_des_Licht%C3%A4thers.djvu?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="Index: Translational movement of the light ether.djvu" data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3>Index page</font></font></a></span></th>
|
||
</tr>
|
||
</tbody>
|
||
</table></td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
</div>
|
||
<p><br></p>
|
||
<div style="width:em;text-align:justify;margin:0px auto;background-color:#ffffff;font-family:sans-serif;line-height:150%;border:0px;padding-left:2em;text-indent:em">
|
||
<div class=prp-pages-output lang=de><span> <span class=pagenum id=i title="Page: Translational movement of the light ether.djvu/1" data-moz-translations-id=0><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3>[</font></font> <b data-moz-translations-id=4><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/1 title="Page: Translational movement of the light ether.djvu/1" data-moz-translations-id=5><font style=vertical-align:inherit data-moz-translations-id=6><font style=vertical-align:inherit data-moz-translations-id=7>i</font></font></a></b> <font style=vertical-align:inherit data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9>]</font></font></span></span> </span>
|
||
<div style=text-align:center;font-size:130%;line-height:20pt><b data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2>On the questions concerning the translational movement of the light ether; by W. Vienna.</font></font></b></div>
|
||
<div style=text-align:center;font-size:100%;line-height:20pt>
|
||
<font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>(Representation for the 70th meeting of German natural scientists and doctors in Düsseldorf, 1898; Section Physics.)</font></font>
|
||
</div>
|
||
<hr style=width:5em;text-align:center;text-align:-moz-center;margin-right:auto;margin-left:auto;margin-top:0px;margin-bottom:0px>
|
||
<p><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>The question of whether the light ether ether takes part in the movements of bodies or not, and whether mobility can be at it at all, has occupied physicists for a long time and there countless assumptions and conjectures that have been has to make about the properties of the carrier of electromagnetic phenomena held. However, there can be no doubt that everything we know about the ether is contained in</font></font> <span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3><font style=vertical-align:inherit data-moz-translations-id=4>Maxwell</font></font></span> <font style=vertical-align:inherit data-moz-translations-id=5><font style=vertical-align:inherit data-moz-translations-id=6>'s theory of electromagnetism and everything else belongs to the realm of pure speculation. Accordingly, I have not set myself the task of providing a literary report on the innumerable theories that have the light ether as their subject, but have endeavored to highlight the questions that we have to answer on the basis of the basis of</font></font> <span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=7><font style=vertical-align:inherit data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9>Maxwell</font></font></span> <font style=vertical-align:inherit data-moz-translations-id=10><font style=vertical-align:inherit data-moz-translations-id=11>'s theory regarding the mobility of the ether have to provide.</font></font></p>
|
||
<p><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>If we make the assumption that the ether has mobility, further questions immediately arise, namely whether this movement requires energy expenditure, i.e. whether the ether is to be attributed inert mass, and then whether the ether the ether is also set in motion by the movement of solid bodies . The latter does not appear to be the case according to many experiments, especially after the extensive experiments of the</font></font> <span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3><font style=vertical-align:inherit data-moz-translations-id=4>Lodge</font></font></span> <font style=vertical-align:inherit data-moz-translations-id=5><font style=vertical-align:inherit data-moz-translations-id=6>which were carried out with rapidly rotating metal masses or in the vicinity of high-speed circular saws.</font></font></p>
|
||
<p><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>We will first compare the assumptions as to whether mobility can be attributed to the ether or not and then move on to the discussion of the empirical facts.</font></font></p><span style=display:none></span> <span> <span class=pagenum id=ii title="Page: Translational movement of the light ether.djvu/2" data-moz-translations-id=0><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3>[</font></font> <b data-moz-translations-id=4><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/2 title="Page: Translational movement of the light ether.djvu/2" data-moz-translations-id=5><font style=vertical-align:inherit data-moz-translations-id=6><font style=vertical-align:inherit data-moz-translations-id=7>ii</font></font></a></b> <font style=vertical-align:inherit data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9>]</font></font></span></span> </span>
|
||
<div style=text-align:center>
|
||
<h3><span class=mw-headline id=Die_Annahme_der_Beweglichkeit_des_Aethers. data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2>The assumption of the mobility of the aether.</font></font></span></h3>
|
||
</div>
|
||
<p><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>The tendency to bring the properties of the ether into agreement with those of ponderable matter has led to the assumption that the ether can carry out movements in the manner of a liquid, although not a single experiment indicates the existence of such movements. But if one ascribes mobility to the ether, then, as</font></font> <span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3><font style=vertical-align:inherit data-moz-translations-id=4>Hertz</font></font></span> <font style=vertical-align:inherit data-moz-translations-id=5><font style=vertical-align:inherit data-moz-translations-id=6>first noted, it follows strictly from</font></font> <span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=7><font style=vertical-align:inherit data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9>Maxwell</font></font></span> <font style=vertical-align:inherit data-moz-translations-id=10><font style=vertical-align:inherit data-moz-translations-id=11>'s theory that under the influence of the pressure forces generated by a variable electromagnetic system, it must carry out movements that can be calculated, if one makes certain assumptions about the inertia of the ether.</font></font></p>
|
||
<p><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2>Helmholtz</font></font></span> <font style=vertical-align:inherit data-moz-translations-id=3><font style=vertical-align:inherit data-moz-translations-id=4>gave the basic principles for the calculation of these flows under the assumption that the inertia and compressibility of the aether is zero. However, he did not give any specific examples that would allow this theory to be tested against experience, and I will therefore give two examples from which some conclusions can be drawn as to the meaning of these assumptions.</font></font></p>
|
||
<p><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Currents in the ether are only excited by electromagnetic tensions when the field is neither static nor stationary, i.e. when the conditions of time are still change variable.</font></font></p>
|
||
<p><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>As a first example I introduce an electrified colon, which carries equal quantities of positive and negative electricity at a very small distance from each other, which increase proportionally with time.</font></font></p>
|
||
<p><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>If we designate</font> <font style=vertical-align:inherit data-moz-translations-id=2>the coordinates</font> <font style=vertical-align:inherit data-moz-translations-id=3>with x, y</font> <i data-moz-translations-id=4><font style=vertical-align:inherit data-moz-translations-id=5>,</font></i></font> <i data-moz-translations-id=6><font style=vertical-align:inherit data-moz-translations-id=7><font style=vertical-align:inherit data-moz-translations-id=8>z,</font></font></i> <font style=vertical-align:inherit data-moz-translations-id=9><i data-moz-translations-id=10><font style=vertical-align:inherit data-moz-translations-id=11>the time with</font></i></font> <i data-moz-translations-id=12><font style=vertical-align:inherit data-moz-translations-id=13><font style=vertical-align:inherit data-moz-translations-id=14>t</font></font></i> <font style=vertical-align:inherit data-moz-translations-id=15><font style=vertical-align:inherit data-moz-translations-id=16>,</font> <i data-moz-translations-id=17><font style=vertical-align:inherit data-moz-translations-id=18>the</font></i> <font style=vertical-align:inherit data-moz-translations-id=19>components of the electrical</font> <font style=vertical-align:inherit data-moz-translations-id=20>forces with</font> <font style=vertical-align:inherit data-moz-translations-id=21>Maxwell</font> <span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=22><font style=vertical-align:inherit data-moz-translations-id=23>'s</font></span> <font style=vertical-align:inherit data-moz-translations-id=24>differential equations</font></font><i data-moz-translations-id=25><font style=vertical-align:inherit data-moz-translations-id=26></font></i><font style=vertical-align:inherit data-moz-translations-id=27></font><i data-moz-translations-id=28><font style=vertical-align:inherit data-moz-translations-id=29></font></i><font style=vertical-align:inherit data-moz-translations-id=30></font><i data-moz-translations-id=31><font style=vertical-align:inherit data-moz-translations-id=32></font></i><font style=vertical-align:inherit data-moz-translations-id=33></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=34><font style=vertical-align:inherit data-moz-translations-id=35></font></span><font style=vertical-align:inherit data-moz-translations-id=36></font></p>
|
||
<table width=100%>
|
||
<tbody>
|
||
<tr>
|
||
<td valign=center style=text-align:left width=5%></td>
|
||
<td align=center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\begin{array}{ll}A{\frac {dL}{dt}}={\frac {\partial Z}{\partial y}}-{\frac {\partial Y}{\partial z}}&A{\frac {dX}{dt}}={\frac {\partial M}{\partial z}}-{\frac {\partial N}{\partial y}}\\\\A{\frac {dM}{dt}}={\frac {\partial X}{\partial z}}-{\frac {\partial Z}{\partial x}}&A{\frac {dY}{dt}}={\frac {\partial N}{\partial x}}-{\frac {\partial L}{\partial z}}\\\\A{\frac {dN}{dt}}={\frac {\partial Y}{\partial x}}-{\frac {\partial X}{\partial y}}&A{\frac {dZ}{dt}}={\frac {\partial L}{\partial y}}-{\frac {\partial M}{\partial x}}\\\\{\frac {\partial L}{\partial x}}+{\frac {\partial M}{\partial y}}+{\frac {\partial N}{\partial z}}=0\ &{\frac {\partial X}{\partial x}}+{\frac {\partial Y}{\partial y}}+{\frac {\partial Z}{\partial z}}=0.\end{array}}}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mtable columnalign="left left" rowspacing=4pt columnspacing=1em data-moz-translations-id=7>
|
||
<mtr data-moz-translations-id=8>
|
||
<mtd data-moz-translations-id=9>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit data-moz-translations-id=11><font style=vertical-align:inherit data-moz-translations-id=12>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=13>
|
||
<mfrac data-moz-translations-id=14>
|
||
<mrow data-moz-translations-id=15>
|
||
<mi data-moz-translations-id=16><font style=vertical-align:inherit data-moz-translations-id=17><font style=vertical-align:inherit data-moz-translations-id=18>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=19><font style=vertical-align:inherit data-moz-translations-id=20><font style=vertical-align:inherit data-moz-translations-id=21>
|
||
L
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=22>
|
||
<mi data-moz-translations-id=23><font style=vertical-align:inherit data-moz-translations-id=24><font style=vertical-align:inherit data-moz-translations-id=25>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=26><font style=vertical-align:inherit data-moz-translations-id=27><font style=vertical-align:inherit data-moz-translations-id=28>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=29><font style=vertical-align:inherit data-moz-translations-id=30><font style=vertical-align:inherit data-moz-translations-id=31>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=32>
|
||
<mfrac data-moz-translations-id=33>
|
||
<mrow data-moz-translations-id=34>
|
||
<mi mathvariant=normal data-moz-translations-id=35><font style=vertical-align:inherit data-moz-translations-id=36><font style=vertical-align:inherit data-moz-translations-id=37>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=38><font style=vertical-align:inherit data-moz-translations-id=39><font style=vertical-align:inherit data-moz-translations-id=40>
|
||
Z
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=41>
|
||
<mi mathvariant=normal data-moz-translations-id=42><font style=vertical-align:inherit data-moz-translations-id=43><font style=vertical-align:inherit data-moz-translations-id=44>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=45><font style=vertical-align:inherit data-moz-translations-id=46><font style=vertical-align:inherit data-moz-translations-id=47>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=48><font style=vertical-align:inherit data-moz-translations-id=49><font style=vertical-align:inherit data-moz-translations-id=50>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=51>
|
||
<mfrac data-moz-translations-id=52>
|
||
<mrow data-moz-translations-id=53>
|
||
<mi mathvariant=normal data-moz-translations-id=54><font style=vertical-align:inherit data-moz-translations-id=55><font style=vertical-align:inherit data-moz-translations-id=56>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=57><font style=vertical-align:inherit data-moz-translations-id=58><font style=vertical-align:inherit data-moz-translations-id=59>
|
||
Y
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=60>
|
||
<mi mathvariant=normal data-moz-translations-id=61><font style=vertical-align:inherit data-moz-translations-id=62><font style=vertical-align:inherit data-moz-translations-id=63>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=64><font style=vertical-align:inherit data-moz-translations-id=65><font style=vertical-align:inherit data-moz-translations-id=66>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mtd>
|
||
<mtd data-moz-translations-id=67>
|
||
<mi data-moz-translations-id=68><font style=vertical-align:inherit data-moz-translations-id=69><font style=vertical-align:inherit data-moz-translations-id=70>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=71>
|
||
<mfrac data-moz-translations-id=72>
|
||
<mrow data-moz-translations-id=73>
|
||
<mi data-moz-translations-id=74><font style=vertical-align:inherit data-moz-translations-id=75><font style=vertical-align:inherit data-moz-translations-id=76>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=77><font style=vertical-align:inherit data-moz-translations-id=78><font style=vertical-align:inherit data-moz-translations-id=79>
|
||
X
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=80>
|
||
<mi data-moz-translations-id=81><font style=vertical-align:inherit data-moz-translations-id=82><font style=vertical-align:inherit data-moz-translations-id=83>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=84><font style=vertical-align:inherit data-moz-translations-id=85><font style=vertical-align:inherit data-moz-translations-id=86>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=87><font style=vertical-align:inherit data-moz-translations-id=88><font style=vertical-align:inherit data-moz-translations-id=89>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=90>
|
||
<mfrac data-moz-translations-id=91>
|
||
<mrow data-moz-translations-id=92>
|
||
<mi mathvariant=normal data-moz-translations-id=93><font style=vertical-align:inherit data-moz-translations-id=94><font style=vertical-align:inherit data-moz-translations-id=95>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=96><font style=vertical-align:inherit data-moz-translations-id=97><font style=vertical-align:inherit data-moz-translations-id=98>
|
||
M
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=99>
|
||
<mi mathvariant=normal data-moz-translations-id=100><font style=vertical-align:inherit data-moz-translations-id=101><font style=vertical-align:inherit data-moz-translations-id=102>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=103><font style=vertical-align:inherit data-moz-translations-id=104><font style=vertical-align:inherit data-moz-translations-id=105>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=106><font style=vertical-align:inherit data-moz-translations-id=107><font style=vertical-align:inherit data-moz-translations-id=108>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=109>
|
||
<mfrac data-moz-translations-id=110>
|
||
<mrow data-moz-translations-id=111>
|
||
<mi mathvariant=normal data-moz-translations-id=112><font style=vertical-align:inherit data-moz-translations-id=113><font style=vertical-align:inherit data-moz-translations-id=114>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=115><font style=vertical-align:inherit data-moz-translations-id=116><font style=vertical-align:inherit data-moz-translations-id=117>
|
||
N
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=118>
|
||
<mi mathvariant=normal data-moz-translations-id=119><font style=vertical-align:inherit data-moz-translations-id=120><font style=vertical-align:inherit data-moz-translations-id=121>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=122><font style=vertical-align:inherit data-moz-translations-id=123><font style=vertical-align:inherit data-moz-translations-id=124>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=125>
|
||
<mtd data-moz-translations-id=126></mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=127>
|
||
<mtd data-moz-translations-id=128>
|
||
<mi data-moz-translations-id=129><font style=vertical-align:inherit data-moz-translations-id=130><font style=vertical-align:inherit data-moz-translations-id=131>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=132>
|
||
<mfrac data-moz-translations-id=133>
|
||
<mrow data-moz-translations-id=134>
|
||
<mi data-moz-translations-id=135><font style=vertical-align:inherit data-moz-translations-id=136><font style=vertical-align:inherit data-moz-translations-id=137>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=138><font style=vertical-align:inherit data-moz-translations-id=139><font style=vertical-align:inherit data-moz-translations-id=140>
|
||
M
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=141>
|
||
<mi data-moz-translations-id=142><font style=vertical-align:inherit data-moz-translations-id=143><font style=vertical-align:inherit data-moz-translations-id=144>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=145><font style=vertical-align:inherit data-moz-translations-id=146><font style=vertical-align:inherit data-moz-translations-id=147>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=148><font style=vertical-align:inherit data-moz-translations-id=149><font style=vertical-align:inherit data-moz-translations-id=150>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=151>
|
||
<mfrac data-moz-translations-id=152>
|
||
<mrow data-moz-translations-id=153>
|
||
<mi mathvariant=normal data-moz-translations-id=154><font style=vertical-align:inherit data-moz-translations-id=155><font style=vertical-align:inherit data-moz-translations-id=156>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=157><font style=vertical-align:inherit data-moz-translations-id=158><font style=vertical-align:inherit data-moz-translations-id=159>
|
||
X
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=160>
|
||
<mi mathvariant=normal data-moz-translations-id=161><font style=vertical-align:inherit data-moz-translations-id=162><font style=vertical-align:inherit data-moz-translations-id=163>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=164><font style=vertical-align:inherit data-moz-translations-id=165><font style=vertical-align:inherit data-moz-translations-id=166>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=167><font style=vertical-align:inherit data-moz-translations-id=168><font style=vertical-align:inherit data-moz-translations-id=169>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=170>
|
||
<mfrac data-moz-translations-id=171>
|
||
<mrow data-moz-translations-id=172>
|
||
<mi mathvariant=normal data-moz-translations-id=173><font style=vertical-align:inherit data-moz-translations-id=174><font style=vertical-align:inherit data-moz-translations-id=175>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=176><font style=vertical-align:inherit data-moz-translations-id=177><font style=vertical-align:inherit data-moz-translations-id=178>
|
||
Z
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=179>
|
||
<mi mathvariant=normal data-moz-translations-id=180><font style=vertical-align:inherit data-moz-translations-id=181><font style=vertical-align:inherit data-moz-translations-id=182>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=183><font style=vertical-align:inherit data-moz-translations-id=184><font style=vertical-align:inherit data-moz-translations-id=185>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mtd>
|
||
<mtd data-moz-translations-id=186>
|
||
<mi data-moz-translations-id=187><font style=vertical-align:inherit data-moz-translations-id=188><font style=vertical-align:inherit data-moz-translations-id=189>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=190>
|
||
<mfrac data-moz-translations-id=191>
|
||
<mrow data-moz-translations-id=192>
|
||
<mi data-moz-translations-id=193><font style=vertical-align:inherit data-moz-translations-id=194><font style=vertical-align:inherit data-moz-translations-id=195>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=196><font style=vertical-align:inherit data-moz-translations-id=197><font style=vertical-align:inherit data-moz-translations-id=198>
|
||
Y
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=199>
|
||
<mi data-moz-translations-id=200><font style=vertical-align:inherit data-moz-translations-id=201><font style=vertical-align:inherit data-moz-translations-id=202>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=203><font style=vertical-align:inherit data-moz-translations-id=204><font style=vertical-align:inherit data-moz-translations-id=205>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=206><font style=vertical-align:inherit data-moz-translations-id=207><font style=vertical-align:inherit data-moz-translations-id=208>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=209>
|
||
<mfrac data-moz-translations-id=210>
|
||
<mrow data-moz-translations-id=211>
|
||
<mi mathvariant=normal data-moz-translations-id=212><font style=vertical-align:inherit data-moz-translations-id=213><font style=vertical-align:inherit data-moz-translations-id=214>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=215><font style=vertical-align:inherit data-moz-translations-id=216><font style=vertical-align:inherit data-moz-translations-id=217>
|
||
N
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=218>
|
||
<mi mathvariant=normal data-moz-translations-id=219><font style=vertical-align:inherit data-moz-translations-id=220><font style=vertical-align:inherit data-moz-translations-id=221>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=222><font style=vertical-align:inherit data-moz-translations-id=223><font style=vertical-align:inherit data-moz-translations-id=224>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=225><font style=vertical-align:inherit data-moz-translations-id=226><font style=vertical-align:inherit data-moz-translations-id=227>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=228>
|
||
<mfrac data-moz-translations-id=229>
|
||
<mrow data-moz-translations-id=230>
|
||
<mi mathvariant=normal data-moz-translations-id=231><font style=vertical-align:inherit data-moz-translations-id=232><font style=vertical-align:inherit data-moz-translations-id=233>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=234><font style=vertical-align:inherit data-moz-translations-id=235><font style=vertical-align:inherit data-moz-translations-id=236>
|
||
L
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=237>
|
||
<mi mathvariant=normal data-moz-translations-id=238><font style=vertical-align:inherit data-moz-translations-id=239><font style=vertical-align:inherit data-moz-translations-id=240>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=241><font style=vertical-align:inherit data-moz-translations-id=242><font style=vertical-align:inherit data-moz-translations-id=243>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=244>
|
||
<mtd data-moz-translations-id=245></mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=246>
|
||
<mtd data-moz-translations-id=247>
|
||
<mi data-moz-translations-id=248><font style=vertical-align:inherit data-moz-translations-id=249><font style=vertical-align:inherit data-moz-translations-id=250>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=251>
|
||
<mfrac data-moz-translations-id=252>
|
||
<mrow data-moz-translations-id=253>
|
||
<mi data-moz-translations-id=254><font style=vertical-align:inherit data-moz-translations-id=255><font style=vertical-align:inherit data-moz-translations-id=256>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=257><font style=vertical-align:inherit data-moz-translations-id=258><font style=vertical-align:inherit data-moz-translations-id=259>
|
||
N
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=260>
|
||
<mi data-moz-translations-id=261><font style=vertical-align:inherit data-moz-translations-id=262><font style=vertical-align:inherit data-moz-translations-id=263>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=264><font style=vertical-align:inherit data-moz-translations-id=265><font style=vertical-align:inherit data-moz-translations-id=266>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=267><font style=vertical-align:inherit data-moz-translations-id=268><font style=vertical-align:inherit data-moz-translations-id=269>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=270>
|
||
<mfrac data-moz-translations-id=271>
|
||
<mrow data-moz-translations-id=272>
|
||
<mi mathvariant=normal data-moz-translations-id=273><font style=vertical-align:inherit data-moz-translations-id=274><font style=vertical-align:inherit data-moz-translations-id=275>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=276><font style=vertical-align:inherit data-moz-translations-id=277><font style=vertical-align:inherit data-moz-translations-id=278>
|
||
Y
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=279>
|
||
<mi mathvariant=normal data-moz-translations-id=280><font style=vertical-align:inherit data-moz-translations-id=281><font style=vertical-align:inherit data-moz-translations-id=282>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=283><font style=vertical-align:inherit data-moz-translations-id=284><font style=vertical-align:inherit data-moz-translations-id=285>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=286><font style=vertical-align:inherit data-moz-translations-id=287><font style=vertical-align:inherit data-moz-translations-id=288>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=289>
|
||
<mfrac data-moz-translations-id=290>
|
||
<mrow data-moz-translations-id=291>
|
||
<mi mathvariant=normal data-moz-translations-id=292><font style=vertical-align:inherit data-moz-translations-id=293><font style=vertical-align:inherit data-moz-translations-id=294>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=295><font style=vertical-align:inherit data-moz-translations-id=296><font style=vertical-align:inherit data-moz-translations-id=297>
|
||
X
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=298>
|
||
<mi mathvariant=normal data-moz-translations-id=299><font style=vertical-align:inherit data-moz-translations-id=300><font style=vertical-align:inherit data-moz-translations-id=301>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=302><font style=vertical-align:inherit data-moz-translations-id=303><font style=vertical-align:inherit data-moz-translations-id=304>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mtd>
|
||
<mtd data-moz-translations-id=305>
|
||
<mi data-moz-translations-id=306><font style=vertical-align:inherit data-moz-translations-id=307><font style=vertical-align:inherit data-moz-translations-id=308>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=309>
|
||
<mfrac data-moz-translations-id=310>
|
||
<mrow data-moz-translations-id=311>
|
||
<mi data-moz-translations-id=312><font style=vertical-align:inherit data-moz-translations-id=313><font style=vertical-align:inherit data-moz-translations-id=314>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=315><font style=vertical-align:inherit data-moz-translations-id=316><font style=vertical-align:inherit data-moz-translations-id=317>
|
||
Z
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=318>
|
||
<mi data-moz-translations-id=319><font style=vertical-align:inherit data-moz-translations-id=320><font style=vertical-align:inherit data-moz-translations-id=321>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=322><font style=vertical-align:inherit data-moz-translations-id=323><font style=vertical-align:inherit data-moz-translations-id=324>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=325><font style=vertical-align:inherit data-moz-translations-id=326><font style=vertical-align:inherit data-moz-translations-id=327>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=328>
|
||
<mfrac data-moz-translations-id=329>
|
||
<mrow data-moz-translations-id=330>
|
||
<mi mathvariant=normal data-moz-translations-id=331><font style=vertical-align:inherit data-moz-translations-id=332><font style=vertical-align:inherit data-moz-translations-id=333>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=334><font style=vertical-align:inherit data-moz-translations-id=335><font style=vertical-align:inherit data-moz-translations-id=336>
|
||
L
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=337>
|
||
<mi mathvariant=normal data-moz-translations-id=338><font style=vertical-align:inherit data-moz-translations-id=339><font style=vertical-align:inherit data-moz-translations-id=340>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=341><font style=vertical-align:inherit data-moz-translations-id=342><font style=vertical-align:inherit data-moz-translations-id=343>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=344><font style=vertical-align:inherit data-moz-translations-id=345><font style=vertical-align:inherit data-moz-translations-id=346>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=347>
|
||
<mfrac data-moz-translations-id=348>
|
||
<mrow data-moz-translations-id=349>
|
||
<mi mathvariant=normal data-moz-translations-id=350><font style=vertical-align:inherit data-moz-translations-id=351><font style=vertical-align:inherit data-moz-translations-id=352>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=353><font style=vertical-align:inherit data-moz-translations-id=354><font style=vertical-align:inherit data-moz-translations-id=355>
|
||
M
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=356>
|
||
<mi mathvariant=normal data-moz-translations-id=357><font style=vertical-align:inherit data-moz-translations-id=358><font style=vertical-align:inherit data-moz-translations-id=359>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=360><font style=vertical-align:inherit data-moz-translations-id=361><font style=vertical-align:inherit data-moz-translations-id=362>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=363>
|
||
<mtd data-moz-translations-id=364></mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=365>
|
||
<mtd data-moz-translations-id=366>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=367>
|
||
<mfrac data-moz-translations-id=368>
|
||
<mrow data-moz-translations-id=369>
|
||
<mi mathvariant=normal data-moz-translations-id=370><font style=vertical-align:inherit data-moz-translations-id=371><font style=vertical-align:inherit data-moz-translations-id=372>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=373><font style=vertical-align:inherit data-moz-translations-id=374><font style=vertical-align:inherit data-moz-translations-id=375>
|
||
L
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=376>
|
||
<mi mathvariant=normal data-moz-translations-id=377><font style=vertical-align:inherit data-moz-translations-id=378><font style=vertical-align:inherit data-moz-translations-id=379>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=380><font style=vertical-align:inherit data-moz-translations-id=381><font style=vertical-align:inherit data-moz-translations-id=382>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=383><font style=vertical-align:inherit data-moz-translations-id=384><font style=vertical-align:inherit data-moz-translations-id=385>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=386>
|
||
<mfrac data-moz-translations-id=387>
|
||
<mrow data-moz-translations-id=388>
|
||
<mi mathvariant=normal data-moz-translations-id=389><font style=vertical-align:inherit data-moz-translations-id=390><font style=vertical-align:inherit data-moz-translations-id=391>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=392><font style=vertical-align:inherit data-moz-translations-id=393><font style=vertical-align:inherit data-moz-translations-id=394>
|
||
M
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=395>
|
||
<mi mathvariant=normal data-moz-translations-id=396><font style=vertical-align:inherit data-moz-translations-id=397><font style=vertical-align:inherit data-moz-translations-id=398>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=399><font style=vertical-align:inherit data-moz-translations-id=400><font style=vertical-align:inherit data-moz-translations-id=401>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=402><font style=vertical-align:inherit data-moz-translations-id=403><font style=vertical-align:inherit data-moz-translations-id=404>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=405>
|
||
<mfrac data-moz-translations-id=406>
|
||
<mrow data-moz-translations-id=407>
|
||
<mi mathvariant=normal data-moz-translations-id=408><font style=vertical-align:inherit data-moz-translations-id=409><font style=vertical-align:inherit data-moz-translations-id=410>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=411><font style=vertical-align:inherit data-moz-translations-id=412><font style=vertical-align:inherit data-moz-translations-id=413>
|
||
N
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=414>
|
||
<mi mathvariant=normal data-moz-translations-id=415><font style=vertical-align:inherit data-moz-translations-id=416><font style=vertical-align:inherit data-moz-translations-id=417>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=418><font style=vertical-align:inherit data-moz-translations-id=419><font style=vertical-align:inherit data-moz-translations-id=420>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=421><font style=vertical-align:inherit data-moz-translations-id=422><font style=vertical-align:inherit data-moz-translations-id=423>
|
||
=
|
||
</font></font></mo>
|
||
<mn data-moz-translations-id=424><font style=vertical-align:inherit data-moz-translations-id=425><font style=vertical-align:inherit data-moz-translations-id=426>
|
||
0
|
||
</font></font></mn>
|
||
<mtext data-moz-translations-id=427>
|
||
|
||
</mtext>
|
||
</mtd>
|
||
<mtd data-moz-translations-id=428>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=429>
|
||
<mfrac data-moz-translations-id=430>
|
||
<mrow data-moz-translations-id=431>
|
||
<mi mathvariant=normal data-moz-translations-id=432><font style=vertical-align:inherit data-moz-translations-id=433><font style=vertical-align:inherit data-moz-translations-id=434>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=435><font style=vertical-align:inherit data-moz-translations-id=436><font style=vertical-align:inherit data-moz-translations-id=437>
|
||
X
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=438>
|
||
<mi mathvariant=normal data-moz-translations-id=439><font style=vertical-align:inherit data-moz-translations-id=440><font style=vertical-align:inherit data-moz-translations-id=441>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=442><font style=vertical-align:inherit data-moz-translations-id=443><font style=vertical-align:inherit data-moz-translations-id=444>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=445><font style=vertical-align:inherit data-moz-translations-id=446><font style=vertical-align:inherit data-moz-translations-id=447>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=448>
|
||
<mfrac data-moz-translations-id=449>
|
||
<mrow data-moz-translations-id=450>
|
||
<mi mathvariant=normal data-moz-translations-id=451><font style=vertical-align:inherit data-moz-translations-id=452><font style=vertical-align:inherit data-moz-translations-id=453>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=454><font style=vertical-align:inherit data-moz-translations-id=455><font style=vertical-align:inherit data-moz-translations-id=456>
|
||
Y
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=457>
|
||
<mi mathvariant=normal data-moz-translations-id=458><font style=vertical-align:inherit data-moz-translations-id=459><font style=vertical-align:inherit data-moz-translations-id=460>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=461><font style=vertical-align:inherit data-moz-translations-id=462><font style=vertical-align:inherit data-moz-translations-id=463>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=464><font style=vertical-align:inherit data-moz-translations-id=465><font style=vertical-align:inherit data-moz-translations-id=466>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=467>
|
||
<mfrac data-moz-translations-id=468>
|
||
<mrow data-moz-translations-id=469>
|
||
<mi mathvariant=normal data-moz-translations-id=470><font style=vertical-align:inherit data-moz-translations-id=471><font style=vertical-align:inherit data-moz-translations-id=472>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=473><font style=vertical-align:inherit data-moz-translations-id=474><font style=vertical-align:inherit data-moz-translations-id=475>
|
||
Z
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=476>
|
||
<mi mathvariant=normal data-moz-translations-id=477><font style=vertical-align:inherit data-moz-translations-id=478><font style=vertical-align:inherit data-moz-translations-id=479>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=480><font style=vertical-align:inherit data-moz-translations-id=481><font style=vertical-align:inherit data-moz-translations-id=482>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=483><font style=vertical-align:inherit data-moz-translations-id=484><font style=vertical-align:inherit data-moz-translations-id=485>
|
||
=
|
||
</font></font></mo>
|
||
<mn data-moz-translations-id=486><font style=vertical-align:inherit data-moz-translations-id=487><font style=vertical-align:inherit data-moz-translations-id=488>
|
||
0.
|
||
</font></font></mn>
|
||
</mtd>
|
||
</mtr>
|
||
</mtable>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=489><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\begin{array}{ll}A{\frac {dL}{dt}}={\frac {\partial Z}{\partial y}}-{\frac {\partial Y}{\partial z}}&A{\frac {dX}{dt}}={\frac {\partial M}{\partial z}}-{\frac {\partial N}{\partial y}}\\\\A{ \frac {dM}{dt}}={\frac {\partial X}{\partial z}}-{\frac {\partial Z}{\partial x}}&A{\frac {dY}{dt}} ={\frac {\partial N}{\partial x}}-{\frac {\partial L}{\partial z}}\\\\A{\frac {dN}{dt}}={\frac { \partial Y}{\partial x}}-{\frac {\partial X}{\partial y}}&A{\frac {dZ}{dt}}={\frac {\partial L}{\partial y} }-{\frac {\partial M}{\partial x}}\\\\{\frac {\partial L}{\partial x}}+{\frac {\partial M}{\partial y}}+ {\frac {\partial N}{\partial z}}=0\ &{\frac {\partial X}{\partial x}}+{\frac {\partial Y}{\partial y}}+{\ frac {\partial Z}{\partial z}}=0.\end{array}}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="42.941ex" height="27.176ex" style="vertical-align: -12.803ex; margin-bottom: -0.201ex;" viewBox="0 -6101.5 18488.6 11700.7" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\begin{array}{ll}A{\frac {dL}{dt}}={\frac {\partial Z}{\partial y}}-{\frac {\partial Y}{\partial z}}&amp;A{\frac {dX}{dt}}={\frac {\partial M}{\partial z}}-{\frac {\partial N}{\partial y}}\\\\A{\frac {dM}{dt}}={\frac {\partial X}{\partial z}}-{\frac {\partial Z}{\partial x}}&amp;A{\frac {dY}{dt}}={\frac {\partial N}{\partial x}}-{\frac {\partial L}{\partial z}}\\\\A{\frac {dN}{dt}}={\frac {\partial Y}{\partial x}}-{\frac {\partial X}{\partial y}}&amp;A{\frac {dZ}{dt}}={\frac {\partial L}{\partial y}}-{\frac {\partial M}{\partial x}}\\\\{\frac {\partial L}{\partial x}}+{\frac {\partial M}{\partial y}}+{\frac {\partial N}{\partial z}}=0\ &amp;{\frac {\partial X}{\partial x}}+{\frac {\partial Y}{\partial y}}+{\frac {\partial Z}{\partial z}}=0.\end{array}}}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMATHI-64" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path>
<path stroke-width="1" id="E1-MJMATHI-4C" d="M228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 217 683Q271 680 344 680Q485 680 506 683H518Q524 677 524 674T522 656Q517 641 513 637H475Q406 636 394 628Q387 624 380 600T313 336Q297 271 279 198T252 88L243 52Q243 48 252 48T311 46H328Q360 46 379 47T428 54T478 72T522 106T564 161Q580 191 594 228T611 270Q616 273 628 273H641Q647 264 647 262T627 203T583 83T557 9Q555 4 553 3T537 0T494 -1Q483 -1 418 -1T294 0H116Q32 0 32 10Q32 17 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMATHI-5A" d="M58 8Q58 23 64 35Q64 36 329 334T596 635L586 637Q575 637 512 637H500H476Q442 637 420 635T365 624T311 598T266 548T228 469Q227 466 226 463T224 458T223 453T222 450L221 448Q218 443 202 443Q185 443 182 453L214 561Q228 606 241 651Q249 679 253 681Q256 683 487 683H718Q723 678 723 675Q723 673 717 649Q189 54 188 52L185 49H274Q369 50 377 51Q452 60 500 100T579 247Q587 272 590 277T603 282H607Q628 282 628 271Q547 5 541 2Q538 0 300 0H124Q58 0 58 8Z"></path>
<path stroke-width="1" id="E1-MJMATHI-79" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-59" d="M66 637Q54 637 49 637T39 638T32 641T30 647T33 664T42 682Q44 683 56 683Q104 680 165 680Q288 680 306 683H316Q322 677 322 674T320 656Q316 643 310 637H298Q242 637 242 624Q242 619 292 477T343 333L346 336Q350 340 358 349T379 373T411 410T454 461Q546 568 561 587T577 618Q577 634 545 637Q528 637 528 647Q528 649 530 661Q533 676 535 679T549 683Q551 683 578 682T657 680Q684 680 713 681T746 682Q763 682 763 673Q763 669 760 657T755 643Q753 637 734 637Q662 632 617 587Q608 578 477 424L348 273L322 169Q295 62 295 57Q295 46 363 46Q379 46 384 45T390 35Q390 33 388 23Q384 6 382 4T366 1Q361 1 324 1T232 2Q170 2 138 2T102 1Q84 1 84 9Q84 14 87 24Q88 27 89 30T90 35T91 39T93 42T96 44T101 45T107 45T116 46T129 46Q168 47 180 50T198 63Q201 68 227 171L252 274L129 623Q128 624 127 625T125 627T122 629T118 631T113 633T105 634T96 635T83 636T66 637Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMATHI-58" d="M42 0H40Q26 0 26 11Q26 15 29 27Q33 41 36 43T55 46Q141 49 190 98Q200 108 306 224T411 342Q302 620 297 625Q288 636 234 637H206Q200 643 200 645T202 664Q206 677 212 683H226Q260 681 347 681Q380 681 408 681T453 682T473 682Q490 682 490 671Q490 670 488 658Q484 643 481 640T465 637Q434 634 411 620L488 426L541 485Q646 598 646 610Q646 628 622 635Q617 635 609 637Q594 637 594 648Q594 650 596 664Q600 677 606 683H618Q619 683 643 683T697 681T738 680Q828 680 837 683H845Q852 676 852 672Q850 647 840 637H824Q790 636 763 628T722 611T698 593L687 584Q687 585 592 480L505 384Q505 383 536 304T601 142T638 56Q648 47 699 46Q734 46 734 37Q734 35 732 23Q728 7 725 4T711 1Q708 1 678 1T589 2Q528 2 496 2T461 1Q444 1 444 10Q444 11 446 25Q448 35 450 39T455 44T464 46T480 47T506 54Q523 62 523 64Q522 64 476 181L429 299Q241 95 236 84Q232 76 232 72Q232 53 261 47Q262 47 267 47T273 46Q276 46 277 46T280 45T283 42T284 35Q284 26 282 19Q279 6 276 4T261 1Q258 1 243 1T201 2T142 2Q64 2 42 0Z"></path>
<path stroke-width="1" id="E1-MJMATHI-4D" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path>
<path stroke-width="1" id="E1-MJMATHI-4E" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
<g transform="translate(167,0)">
<g transform="translate(-11,0)">
<g transform="translate(0,5045)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
<g transform="translate(750,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="972" height="60" x="0" y="220"></rect>
<g transform="translate(60,452)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-4C" x="523" y="0"></use>
</g>
<g transform="translate(173,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="523" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="2240" y="0"></use>
<g transform="translate(3296,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1032" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-5A" x="567" y="0"></use>
</g>
<g transform="translate(139,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-79" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="4791" y="0"></use>
<g transform="translate(5792,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1061" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-59" x="567" y="0"></use>
</g>
<g transform="translate(164,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
</g>
<g transform="translate(0,1681)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
<g transform="translate(750,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1233" height="60" x="0" y="220"></rect>
<g transform="translate(60,452)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-4D" x="523" y="0"></use>
</g>
<g transform="translate(303,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="523" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="2501" y="0"></use>
<g transform="translate(3558,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1124" height="60" x="0" y="220"></rect>
<g transform="translate(59,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-58" x="567" y="0"></use>
</g>
<g transform="translate(195,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="5144" y="0"></use>
<g transform="translate(6145,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1032" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-5A" x="567" y="0"></use>
</g>
<g transform="translate(113,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
</g>
<g transform="translate(0,-1553)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
<g transform="translate(750,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1118" height="60" x="0" y="220"></rect>
<g transform="translate(60,452)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-4E" x="523" y="0"></use>
</g>
<g transform="translate(246,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="523" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="2386" y="0"></use>
<g transform="translate(3442,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1061" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-59" x="567" y="0"></use>
</g>
<g transform="translate(127,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="4966" y="0"></use>
<g transform="translate(5967,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1124" height="60" x="0" y="220"></rect>
<g transform="translate(59,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-58" x="567" y="0"></use>
</g>
<g transform="translate(185,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-79" x="567" y="0"></use>
</g>
</g>
</g>
</g>
<g transform="translate(0,-4917)">
<g transform="translate(120,0)">
<rect stroke="none" width="1003" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-4C" x="567" y="0"></use>
</g>
<g transform="translate(98,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="1465" y="0"></use>
<g transform="translate(2466,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1264" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-4D" x="567" y="0"></use>
</g>
<g transform="translate(255,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-79" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="4193" y="0"></use>
<g transform="translate(5193,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1149" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-4E" x="567" y="0"></use>
</g>
<g transform="translate(208,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="6861" y="0"></use>
 <use xlink:href="#E1-MJMAIN-30" x="7917" y="0"></use>
</g>
</g>
<g transform="translate(9657,0)">
<g transform="translate(0,5045)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
<g transform="translate(750,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1092" height="60" x="0" y="220"></rect>
<g transform="translate(60,452)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-58" x="523" y="0"></use>
</g>
<g transform="translate(233,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="523" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="2361" y="0"></use>
<g transform="translate(3417,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1264" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-4D" x="567" y="0"></use>
</g>
<g transform="translate(266,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="5144" y="0"></use>
<g transform="translate(6145,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1149" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-4E" x="567" y="0"></use>
</g>
<g transform="translate(198,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-79" x="567" y="0"></use>
</g>
</g>
</g>
</g>
<g transform="translate(0,1681)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
<g transform="translate(750,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1030" height="60" x="0" y="220"></rect>
<g transform="translate(60,452)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-59" x="523" y="0"></use>
</g>
<g transform="translate(202,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="523" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="2298" y="0"></use>
<g transform="translate(3354,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1149" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-4E" x="567" y="0"></use>
</g>
<g transform="translate(171,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="4966" y="0"></use>
<g transform="translate(5967,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1003" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-4C" x="567" y="0"></use>
</g>
<g transform="translate(135,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
</g>
<g transform="translate(0,-1553)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
<g transform="translate(750,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1001" height="60" x="0" y="220"></rect>
<g transform="translate(60,452)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-5A" x="523" y="0"></use>
</g>
<g transform="translate(187,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="523" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="2270" y="0"></use>
<g transform="translate(3326,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1003" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-4C" x="567" y="0"></use>
</g>
<g transform="translate(125,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-79" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="4791" y="0"></use>
<g transform="translate(5792,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1264" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-4D" x="567" y="0"></use>
</g>
<g transform="translate(229,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
</g>
<g transform="translate(0,-4917)">
<g transform="translate(120,0)">
<rect stroke="none" width="1124" height="60" x="0" y="220"></rect>
<g transform="translate(59,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-58" x="567" y="0"></use>
</g>
<g transform="translate(158,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="1586" y="0"></use>
<g transform="translate(2587,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1061" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-59" x="567" y="0"></use>
</g>
<g transform="translate(154,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-79" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="4110" y="0"></use>
<g transform="translate(5111,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1032" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-5A" x="567" y="0"></use>
</g>
<g transform="translate(150,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="6661" y="0"></use>
<g transform="translate(7718,0)">
 <use xlink:href="#E1-MJMAIN-30"></use>
 <use xlink:href="#E1-MJMAIN-2E" x="500" y="0"></use>
</g>
</g>
</g>
</g>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-12.803ex;margin-bottom:-0.201ex;width:42.941ex;height:27.176ex alt="{\displaystyle {\begin{array}{ll}A{\frac {dL}{dt}}={\frac {\partial Z}{\partial y}}-{\frac {\partial Y}{\partial z}}&A{\frac {dX}{dt}}={\frac {\partial M}{\partial z}}-{\frac {\partial N}{\partial y}}\\\\A{ \frac {dM}{dt}}={\frac {\partial X}{\partial z}}-{\frac {\partial Z}{\partial x}}&A{\frac {dY}{dt}} ={\frac {\partial N}{\partial x}}-{\frac {\partial L}{\partial z}}\\\\A{\frac {dN}{dt}}={\frac { \partial Y}{\partial x}}-{\frac {\partial X}{\partial y}}&A{\frac {dZ}{dt}}={\frac {\partial L}{\partial y} }-{\frac {\partial M}{\partial x}}\\\\{\frac {\partial L}{\partial x}}+{\frac {\partial M}{\partial y}}+ {\frac {\partial N}{\partial z}}=0\ &{\frac {\partial X}{\partial x}}+{\frac {\partial Y}{\partial y}}+{\ frac {\partial Z}{\partial z}}=0.\end{array}}}" data-moz-translations-id=490></span></td>
|
||
</tr>
|
||
</tbody>
|
||
</table><span> <span class=pagenum id=iii title="Page: Translational movement of the light ether.djvu/3" data-moz-translations-id=0><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3>[</font></font> <b data-moz-translations-id=4><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/3 title="Page: Translational movement of the light ether.djvu/3" data-moz-translations-id=5><font style=vertical-align:inherit data-moz-translations-id=6><font style=vertical-align:inherit data-moz-translations-id=7>iii</font></font></a></b> <font style=vertical-align:inherit data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9>]</font></font></span></span> </span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>We satisfy these equations using the following expressions:</font>
|
||
</font><table width=100%>
|
||
<tbody>
|
||
<tr>
|
||
<td valign=center style=text-align:left width=5%></td>
|
||
<td align=center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\begin{array}{lcl}X={\frac {\partial ^{2}\varphi }{\partial z\ \partial x}}&&L=-A{\frac {\partial ^{2}\varphi }{\partial y\ \partial t}}\\\\Y={\frac {\partial ^{2}\varphi }{\partial z\ \partial y}}&&M=A{\frac {\partial ^{2}\varphi }{\partial x\ \partial t}}\\\\Z={\frac {\partial ^{2}\varphi }{\partial z^{\ 2}}}&&N=0.\end{array}}}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mtable columnalign="left center left" rowspacing=4pt columnspacing=1em data-moz-translations-id=7>
|
||
<mtr data-moz-translations-id=8>
|
||
<mtd data-moz-translations-id=9>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit data-moz-translations-id=11><font style=vertical-align:inherit data-moz-translations-id=12>
|
||
X
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=13><font style=vertical-align:inherit data-moz-translations-id=14><font style=vertical-align:inherit data-moz-translations-id=15>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=16>
|
||
<mfrac data-moz-translations-id=17>
|
||
<mrow data-moz-translations-id=18>
|
||
<msup data-moz-translations-id=19>
|
||
<mi mathvariant=normal data-moz-translations-id=20><font style=vertical-align:inherit data-moz-translations-id=21><font style=vertical-align:inherit data-moz-translations-id=22>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=23>
|
||
<mn data-moz-translations-id=24><font style=vertical-align:inherit data-moz-translations-id=25><font style=vertical-align:inherit data-moz-translations-id=26>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=27><font style=vertical-align:inherit data-moz-translations-id=28><font style=vertical-align:inherit data-moz-translations-id=29>
|
||
φ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=30>
|
||
<mi mathvariant=normal data-moz-translations-id=31><font style=vertical-align:inherit data-moz-translations-id=32><font style=vertical-align:inherit data-moz-translations-id=33>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=34><font style=vertical-align:inherit data-moz-translations-id=35><font style=vertical-align:inherit data-moz-translations-id=36>
|
||
e.g
|
||
</font></font></mi>
|
||
<mtext data-moz-translations-id=37>
|
||
|
||
</mtext>
|
||
<mi mathvariant=normal data-moz-translations-id=38><font style=vertical-align:inherit data-moz-translations-id=39><font style=vertical-align:inherit data-moz-translations-id=40>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=41><font style=vertical-align:inherit data-moz-translations-id=42><font style=vertical-align:inherit data-moz-translations-id=43>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mtd>
|
||
<mtd data-moz-translations-id=44></mtd>
|
||
<mtd data-moz-translations-id=45>
|
||
<mi data-moz-translations-id=46><font style=vertical-align:inherit data-moz-translations-id=47><font style=vertical-align:inherit data-moz-translations-id=48>
|
||
L
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=49><font style=vertical-align:inherit data-moz-translations-id=50><font style=vertical-align:inherit data-moz-translations-id=51>
|
||
=
|
||
</font></font></mo>
|
||
<mo data-moz-translations-id=52><font style=vertical-align:inherit data-moz-translations-id=53><font style=vertical-align:inherit data-moz-translations-id=54>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=55><font style=vertical-align:inherit data-moz-translations-id=56><font style=vertical-align:inherit data-moz-translations-id=57>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=58>
|
||
<mfrac data-moz-translations-id=59>
|
||
<mrow data-moz-translations-id=60>
|
||
<msup data-moz-translations-id=61>
|
||
<mi mathvariant=normal data-moz-translations-id=62><font style=vertical-align:inherit data-moz-translations-id=63><font style=vertical-align:inherit data-moz-translations-id=64>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=65>
|
||
<mn data-moz-translations-id=66><font style=vertical-align:inherit data-moz-translations-id=67><font style=vertical-align:inherit data-moz-translations-id=68>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=69><font style=vertical-align:inherit data-moz-translations-id=70><font style=vertical-align:inherit data-moz-translations-id=71>
|
||
φ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=72>
|
||
<mi mathvariant=normal data-moz-translations-id=73><font style=vertical-align:inherit data-moz-translations-id=74><font style=vertical-align:inherit data-moz-translations-id=75>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=76><font style=vertical-align:inherit data-moz-translations-id=77><font style=vertical-align:inherit data-moz-translations-id=78>
|
||
y
|
||
</font></font></mi>
|
||
<mtext data-moz-translations-id=79>
|
||
|
||
</mtext>
|
||
<mi mathvariant=normal data-moz-translations-id=80><font style=vertical-align:inherit data-moz-translations-id=81><font style=vertical-align:inherit data-moz-translations-id=82>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=83><font style=vertical-align:inherit data-moz-translations-id=84><font style=vertical-align:inherit data-moz-translations-id=85>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=86>
|
||
<mtd data-moz-translations-id=87></mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=88>
|
||
<mtd data-moz-translations-id=89>
|
||
<mi data-moz-translations-id=90><font style=vertical-align:inherit data-moz-translations-id=91><font style=vertical-align:inherit data-moz-translations-id=92>
|
||
Y
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=93><font style=vertical-align:inherit data-moz-translations-id=94><font style=vertical-align:inherit data-moz-translations-id=95>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=96>
|
||
<mfrac data-moz-translations-id=97>
|
||
<mrow data-moz-translations-id=98>
|
||
<msup data-moz-translations-id=99>
|
||
<mi mathvariant=normal data-moz-translations-id=100><font style=vertical-align:inherit data-moz-translations-id=101><font style=vertical-align:inherit data-moz-translations-id=102>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=103>
|
||
<mn data-moz-translations-id=104><font style=vertical-align:inherit data-moz-translations-id=105><font style=vertical-align:inherit data-moz-translations-id=106>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=107><font style=vertical-align:inherit data-moz-translations-id=108><font style=vertical-align:inherit data-moz-translations-id=109>
|
||
φ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=110>
|
||
<mi mathvariant=normal data-moz-translations-id=111><font style=vertical-align:inherit data-moz-translations-id=112><font style=vertical-align:inherit data-moz-translations-id=113>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=114><font style=vertical-align:inherit data-moz-translations-id=115><font style=vertical-align:inherit data-moz-translations-id=116>
|
||
e.g
|
||
</font></font></mi>
|
||
<mtext data-moz-translations-id=117>
|
||
|
||
</mtext>
|
||
<mi mathvariant=normal data-moz-translations-id=118><font style=vertical-align:inherit data-moz-translations-id=119><font style=vertical-align:inherit data-moz-translations-id=120>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=121><font style=vertical-align:inherit data-moz-translations-id=122><font style=vertical-align:inherit data-moz-translations-id=123>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mtd>
|
||
<mtd data-moz-translations-id=124></mtd>
|
||
<mtd data-moz-translations-id=125>
|
||
<mi data-moz-translations-id=126><font style=vertical-align:inherit data-moz-translations-id=127><font style=vertical-align:inherit data-moz-translations-id=128>
|
||
M
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=129><font style=vertical-align:inherit data-moz-translations-id=130><font style=vertical-align:inherit data-moz-translations-id=131>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=132><font style=vertical-align:inherit data-moz-translations-id=133><font style=vertical-align:inherit data-moz-translations-id=134>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=135>
|
||
<mfrac data-moz-translations-id=136>
|
||
<mrow data-moz-translations-id=137>
|
||
<msup data-moz-translations-id=138>
|
||
<mi mathvariant=normal data-moz-translations-id=139><font style=vertical-align:inherit data-moz-translations-id=140><font style=vertical-align:inherit data-moz-translations-id=141>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=142>
|
||
<mn data-moz-translations-id=143><font style=vertical-align:inherit data-moz-translations-id=144><font style=vertical-align:inherit data-moz-translations-id=145>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=146><font style=vertical-align:inherit data-moz-translations-id=147><font style=vertical-align:inherit data-moz-translations-id=148>
|
||
φ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=149>
|
||
<mi mathvariant=normal data-moz-translations-id=150><font style=vertical-align:inherit data-moz-translations-id=151><font style=vertical-align:inherit data-moz-translations-id=152>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=153><font style=vertical-align:inherit data-moz-translations-id=154><font style=vertical-align:inherit data-moz-translations-id=155>
|
||
x
|
||
</font></font></mi>
|
||
<mtext data-moz-translations-id=156>
|
||
|
||
</mtext>
|
||
<mi mathvariant=normal data-moz-translations-id=157><font style=vertical-align:inherit data-moz-translations-id=158><font style=vertical-align:inherit data-moz-translations-id=159>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=160><font style=vertical-align:inherit data-moz-translations-id=161><font style=vertical-align:inherit data-moz-translations-id=162>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=163>
|
||
<mtd data-moz-translations-id=164></mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=165>
|
||
<mtd data-moz-translations-id=166>
|
||
<mi data-moz-translations-id=167><font style=vertical-align:inherit data-moz-translations-id=168><font style=vertical-align:inherit data-moz-translations-id=169>
|
||
Z
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=170><font style=vertical-align:inherit data-moz-translations-id=171><font style=vertical-align:inherit data-moz-translations-id=172>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=173>
|
||
<mfrac data-moz-translations-id=174>
|
||
<mrow data-moz-translations-id=175>
|
||
<msup data-moz-translations-id=176>
|
||
<mi mathvariant=normal data-moz-translations-id=177><font style=vertical-align:inherit data-moz-translations-id=178><font style=vertical-align:inherit data-moz-translations-id=179>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=180>
|
||
<mn data-moz-translations-id=181><font style=vertical-align:inherit data-moz-translations-id=182><font style=vertical-align:inherit data-moz-translations-id=183>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=184><font style=vertical-align:inherit data-moz-translations-id=185><font style=vertical-align:inherit data-moz-translations-id=186>
|
||
φ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=187>
|
||
<mi mathvariant=normal data-moz-translations-id=188><font style=vertical-align:inherit data-moz-translations-id=189><font style=vertical-align:inherit data-moz-translations-id=190>
|
||
∂</font></font>
|
||
</mi>
|
||
<msup data-moz-translations-id=191>
|
||
<mi data-moz-translations-id=192><font style=vertical-align:inherit data-moz-translations-id=193><font style=vertical-align:inherit data-moz-translations-id=194>
|
||
e.g
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=195>
|
||
<mtext data-moz-translations-id=196>
|
||
|
||
</mtext>
|
||
<mn data-moz-translations-id=197><font style=vertical-align:inherit data-moz-translations-id=198><font style=vertical-align:inherit data-moz-translations-id=199>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mtd>
|
||
<mtd data-moz-translations-id=200></mtd>
|
||
<mtd data-moz-translations-id=201>
|
||
<mi data-moz-translations-id=202><font style=vertical-align:inherit data-moz-translations-id=203><font style=vertical-align:inherit data-moz-translations-id=204>
|
||
N
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=205><font style=vertical-align:inherit data-moz-translations-id=206><font style=vertical-align:inherit data-moz-translations-id=207>
|
||
=
|
||
</font></font></mo>
|
||
<mn data-moz-translations-id=208><font style=vertical-align:inherit data-moz-translations-id=209><font style=vertical-align:inherit data-moz-translations-id=210>
|
||
0.
|
||
</font></font></mn>
|
||
</mtd>
|
||
</mtr>
|
||
</mtable>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=211><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\begin{array}{lcl}X={\frac {\partial ^{2}\varphi }{\partial z\ \partial x}}&&L=-A{\frac {\partial ^{2 }\varphi }{\partial y\ \partial t}}\\\\Y={\frac {\partial ^{2}\varphi }{\partial z\ \partial y}}&&M=A{\frac { \partial ^{2}\varphi }{\partial x\ \partial t}}\\\\Z={\frac {\partial ^{2}\varphi }{\partial z^{\ 2}}}&&N =0.\end{array}}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="28.39ex" height="21.843ex" style="vertical-align: -10.338ex;" viewBox="0 -4953.4 12223.3 9404.4" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\begin{array}{lcl}X={\frac {\partial ^{2}\varphi }{\partial z\ \partial x}}&amp;&amp;L=-A{\frac {\partial ^{2}\varphi }{\partial y\ \partial t}}\\\\Y={\frac {\partial ^{2}\varphi }{\partial z\ \partial y}}&amp;&amp;M=A{\frac {\partial ^{2}\varphi }{\partial x\ \partial t}}\\\\Z={\frac {\partial ^{2}\varphi }{\partial z^{\ 2}}}&amp;&amp;N=0.\end{array}}}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-58" d="M42 0H40Q26 0 26 11Q26 15 29 27Q33 41 36 43T55 46Q141 49 190 98Q200 108 306 224T411 342Q302 620 297 625Q288 636 234 637H206Q200 643 200 645T202 664Q206 677 212 683H226Q260 681 347 681Q380 681 408 681T453 682T473 682Q490 682 490 671Q490 670 488 658Q484 643 481 640T465 637Q434 634 411 620L488 426L541 485Q646 598 646 610Q646 628 622 635Q617 635 609 637Q594 637 594 648Q594 650 596 664Q600 677 606 683H618Q619 683 643 683T697 681T738 680Q828 680 837 683H845Q852 676 852 672Q850 647 840 637H824Q790 636 763 628T722 611T698 593L687 584Q687 585 592 480L505 384Q505 383 536 304T601 142T638 56Q648 47 699 46Q734 46 734 37Q734 35 732 23Q728 7 725 4T711 1Q708 1 678 1T589 2Q528 2 496 2T461 1Q444 1 444 10Q444 11 446 25Q448 35 450 39T455 44T464 46T480 47T506 54Q523 62 523 64Q522 64 476 181L429 299Q241 95 236 84Q232 76 232 72Q232 53 261 47Q262 47 267 47T273 46Q276 46 277 46T280 45T283 42T284 35Q284 26 282 19Q279 6 276 4T261 1Q258 1 243 1T201 2T142 2Q64 2 42 0Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C6" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMATHI-4C" d="M228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 217 683Q271 680 344 680Q485 680 506 683H518Q524 677 524 674T522 656Q517 641 513 637H475Q406 636 394 628Q387 624 380 600T313 336Q297 271 279 198T252 88L243 52Q243 48 252 48T311 46H328Q360 46 379 47T428 54T478 72T522 106T564 161Q580 191 594 228T611 270Q616 273 628 273H641Q647 264 647 262T627 203T583 83T557 9Q555 4 553 3T537 0T494 -1Q483 -1 418 -1T294 0H116Q32 0 32 10Q32 17 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMATHI-79" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMATHI-59" d="M66 637Q54 637 49 637T39 638T32 641T30 647T33 664T42 682Q44 683 56 683Q104 680 165 680Q288 680 306 683H316Q322 677 322 674T320 656Q316 643 310 637H298Q242 637 242 624Q242 619 292 477T343 333L346 336Q350 340 358 349T379 373T411 410T454 461Q546 568 561 587T577 618Q577 634 545 637Q528 637 528 647Q528 649 530 661Q533 676 535 679T549 683Q551 683 578 682T657 680Q684 680 713 681T746 682Q763 682 763 673Q763 669 760 657T755 643Q753 637 734 637Q662 632 617 587Q608 578 477 424L348 273L322 169Q295 62 295 57Q295 46 363 46Q379 46 384 45T390 35Q390 33 388 23Q384 6 382 4T366 1Q361 1 324 1T232 2Q170 2 138 2T102 1Q84 1 84 9Q84 14 87 24Q88 27 89 30T90 35T91 39T93 42T96 44T101 45T107 45T116 46T129 46Q168 47 180 50T198 63Q201 68 227 171L252 274L129 623Q128 624 127 625T125 627T122 629T118 631T113 633T105 634T96 635T83 636T66 637Z"></path>
<path stroke-width="1" id="E1-MJMATHI-4D" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path>
<path stroke-width="1" id="E1-MJMATHI-5A" d="M58 8Q58 23 64 35Q64 36 329 334T596 635L586 637Q575 637 512 637H500H476Q442 637 420 635T365 624T311 598T266 548T228 469Q227 466 226 463T224 458T223 453T222 450L221 448Q218 443 202 443Q185 443 182 453L214 561Q228 606 241 651Q249 679 253 681Q256 683 487 683H718Q723 678 723 675Q723 673 717 649Q189 54 188 52L185 49H274Q369 50 377 51Q452 60 500 100T579 247Q587 272 590 277T603 282H607Q628 282 628 271Q547 5 541 2Q538 0 300 0H124Q58 0 58 8Z"></path>
<path stroke-width="1" id="E1-MJMATHI-4E" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path>
<path stroke-width="1" id="E1-MJMAIN-30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
<g transform="translate(167,0)">
<g transform="translate(-11,0)">
<g transform="translate(0,3553)">
 <use xlink:href="#E1-MJMATHI-58" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1130" y="0"></use>
<g transform="translate(2186,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1908" height="60" x="0" y="220"></rect>
<g transform="translate(339,599)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.574)" xlink:href="#E1-MJMAIN-32" x="712" y="495"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3C6" x="1084" y="0"></use>
</g>
<g transform="translate(60,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="1389" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="1957" y="0"></use>
</g>
</g>
</g>
</g>
<g transform="translate(0,-110)">
 <use xlink:href="#E1-MJMATHI-59" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1041" y="0"></use>
<g transform="translate(2097,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1855" height="60" x="0" y="220"></rect>
<g transform="translate(312,599)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.574)" xlink:href="#E1-MJMAIN-32" x="712" y="495"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3C6" x="1084" y="0"></use>
</g>
<g transform="translate(60,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="1389" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-79" x="1957" y="0"></use>
</g>
</g>
</g>
</g>
<g transform="translate(0,-3773)">
 <use xlink:href="#E1-MJMATHI-5A" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1001" y="0"></use>
<g transform="translate(2057,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1461" height="60" x="0" y="220"></rect>
<g transform="translate(115,599)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.574)" xlink:href="#E1-MJMAIN-32" x="712" y="495"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3C6" x="1084" y="0"></use>
</g>
<g transform="translate(60,-532)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
<g transform="translate(401,0)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="0" y="0"></use>
<g transform="translate(331,204)">
 <use transform="scale(0.574)" xlink:href="#E1-MJMAIN-32" x="435" y="0"></use>
</g>
</g>
</g>
</g>
</g>
</g>
</g>
<g transform="translate(6324,0)">
<g transform="translate(0,3553)">
 <use xlink:href="#E1-MJMATHI-4C" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="959" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="2015" y="0"></use>
 <use xlink:href="#E1-MJMATHI-41" x="2794" y="0"></use>
<g transform="translate(3544,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1779" height="60" x="0" y="220"></rect>
<g transform="translate(275,599)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.574)" xlink:href="#E1-MJMAIN-32" x="712" y="495"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3C6" x="1084" y="0"></use>
</g>
<g transform="translate(60,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-79" x="567" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="1418" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="1986" y="0"></use>
</g>
</g>
</g>
</g>
<g transform="translate(0,-110)">
 <use xlink:href="#E1-MJMATHI-4D" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1329" y="0"></use>
 <use xlink:href="#E1-MJMATHI-41" x="2385" y="0"></use>
<g transform="translate(3136,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1833" height="60" x="0" y="220"></rect>
<g transform="translate(301,599)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.574)" xlink:href="#E1-MJMAIN-32" x="712" y="495"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3C6" x="1084" y="0"></use>
</g>
<g transform="translate(60,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="1493" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="2061" y="0"></use>
</g>
</g>
</g>
</g>
<g transform="translate(0,-3773)">
 <use xlink:href="#E1-MJMATHI-4E" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1166" y="0"></use>
<g transform="translate(2222,0)">
 <use xlink:href="#E1-MJMAIN-30"></use>
 <use xlink:href="#E1-MJMAIN-2E" x="500" y="0"></use>
</g>
</g>
</g>
</g>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-10.338ex;width:28.39ex;height:21.843ex alt="{\displaystyle {\begin{array}{lcl}X={\frac {\partial ^{2}\varphi }{\partial z\ \partial x}}&&L=-A{\frac {\partial ^{2 }\varphi }{\partial y\ \partial t}}\\\\Y={\frac {\partial ^{2}\varphi }{\partial z\ \partial y}}&&M=A{\frac { \partial ^{2}\varphi }{\partial x\ \partial t}}\\\\Z={\frac {\partial ^{2}\varphi }{\partial z^{\ 2}}}&&N =0.\end{array}}}" data-moz-translations-id=212></span></td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
<p><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Let a be</font></font> <i data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3><font style=vertical-align:inherit data-moz-translations-id=4>a</font></font></i> <font style=vertical-align:inherit data-moz-translations-id=5><font style=vertical-align:inherit data-moz-translations-id=6>constant and</font></font>
|
||
<span class=mwe-math-element data-moz-translations-id=7><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=8><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle r^{2}=x^{2}+y^{2}+z^{2}}" data-moz-translations-id=9><semantics data-moz-translations-id=10>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=11>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=12>
|
||
<msup data-moz-translations-id=13>
|
||
<mi data-moz-translations-id=14><font style=vertical-align:inherit data-moz-translations-id=15><font style=vertical-align:inherit data-moz-translations-id=16>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=17>
|
||
<mn data-moz-translations-id=18><font style=vertical-align:inherit data-moz-translations-id=19><font style=vertical-align:inherit data-moz-translations-id=20>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=21><font style=vertical-align:inherit data-moz-translations-id=22><font style=vertical-align:inherit data-moz-translations-id=23>
|
||
=
|
||
</font></font></mo>
|
||
<msup data-moz-translations-id=24>
|
||
<mi data-moz-translations-id=25><font style=vertical-align:inherit data-moz-translations-id=26><font style=vertical-align:inherit data-moz-translations-id=27>
|
||
x
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=28>
|
||
<mn data-moz-translations-id=29><font style=vertical-align:inherit data-moz-translations-id=30><font style=vertical-align:inherit data-moz-translations-id=31>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=32><font style=vertical-align:inherit data-moz-translations-id=33><font style=vertical-align:inherit data-moz-translations-id=34>
|
||
+
|
||
</font></font></mo>
|
||
<msup data-moz-translations-id=35>
|
||
<mi data-moz-translations-id=36><font style=vertical-align:inherit data-moz-translations-id=37><font style=vertical-align:inherit data-moz-translations-id=38>
|
||
y
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=39>
|
||
<mn data-moz-translations-id=40><font style=vertical-align:inherit data-moz-translations-id=41><font style=vertical-align:inherit data-moz-translations-id=42>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=43><font style=vertical-align:inherit data-moz-translations-id=44><font style=vertical-align:inherit data-moz-translations-id=45>
|
||
+
|
||
</font></font></mo>
|
||
<msup data-moz-translations-id=46>
|
||
<mi data-moz-translations-id=47><font style=vertical-align:inherit data-moz-translations-id=48><font style=vertical-align:inherit data-moz-translations-id=49>
|
||
e.g
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=50>
|
||
<mn data-moz-translations-id=51><font style=vertical-align:inherit data-moz-translations-id=52><font style=vertical-align:inherit data-moz-translations-id=53>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=54><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle r^{2}=x^{2}+y^{2}+z^{2}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,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 class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.671ex;width:17.625ex;height:3.009ex alt="{\displaystyle r^{2}=x^{2}+y^{2}+z^{2}}" data-moz-translations-id=55></span><font style=vertical-align:inherit data-moz-translations-id=56><font style=vertical-align:inherit data-moz-translations-id=57>,</font></font>
|
||
<span class=mwe-math-element data-moz-translations-id=58><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=59><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \varrho =x^{2}+y^{2}}" data-moz-translations-id=60><semantics data-moz-translations-id=61>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=62>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=63>
|
||
<mi data-moz-translations-id=64><font style=vertical-align:inherit data-moz-translations-id=65><font style=vertical-align:inherit data-moz-translations-id=66>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=67><font style=vertical-align:inherit data-moz-translations-id=68><font style=vertical-align:inherit data-moz-translations-id=69>
|
||
=
|
||
</font></font></mo>
|
||
<msup data-moz-translations-id=70>
|
||
<mi data-moz-translations-id=71><font style=vertical-align:inherit data-moz-translations-id=72><font style=vertical-align:inherit data-moz-translations-id=73>
|
||
x
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=74>
|
||
<mn data-moz-translations-id=75><font style=vertical-align:inherit data-moz-translations-id=76><font style=vertical-align:inherit data-moz-translations-id=77>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=78><font style=vertical-align:inherit data-moz-translations-id=79><font style=vertical-align:inherit data-moz-translations-id=80>
|
||
+
|
||
</font></font></mo>
|
||
<msup data-moz-translations-id=81>
|
||
<mi data-moz-translations-id=82><font style=vertical-align:inherit data-moz-translations-id=83><font style=vertical-align:inherit data-moz-translations-id=84>
|
||
y
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=85>
|
||
<mn data-moz-translations-id=86><font style=vertical-align:inherit data-moz-translations-id=87><font style=vertical-align:inherit data-moz-translations-id=88>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=89><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \varrho =x^{2}+y^{2}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,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 class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.671ex;width:11.739ex;height:3.009ex alt="{\displaystyle \varrho =x^{2}+y^{2}}" data-moz-translations-id=90></span><font style=vertical-align:inherit data-moz-translations-id=91><font style=vertical-align:inherit data-moz-translations-id=92>,</font></font>
|
||
<span class=mwe-math-element data-moz-translations-id=93><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=94><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \varphi =at/r}" data-moz-translations-id=95><semantics data-moz-translations-id=96>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=97>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=98>
|
||
<mi data-moz-translations-id=99><font style=vertical-align:inherit data-moz-translations-id=100><font style=vertical-align:inherit data-moz-translations-id=101>
|
||
φ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=102><font style=vertical-align:inherit data-moz-translations-id=103><font style=vertical-align:inherit data-moz-translations-id=104>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=105><font style=vertical-align:inherit data-moz-translations-id=106><font style=vertical-align:inherit data-moz-translations-id=107>
|
||
a
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=108><font style=vertical-align:inherit data-moz-translations-id=109><font style=vertical-align:inherit data-moz-translations-id=110>
|
||
t
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=111>
|
||
<mo data-moz-translations-id=112><font style=vertical-align:inherit data-moz-translations-id=113><font style=vertical-align:inherit data-moz-translations-id=114>
|
||
/
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mi data-moz-translations-id=115><font style=vertical-align:inherit data-moz-translations-id=116><font style=vertical-align:inherit data-moz-translations-id=117>
|
||
r
|
||
</font></font></mi>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=118><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \varphi =at/r}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.838ex;width:8.899ex;height:2.843ex alt="{\displaystyle \varphi =at/r}" data-moz-translations-id=119></span><font style=vertical-align:inherit data-moz-translations-id=120><font style=vertical-align:inherit data-moz-translations-id=121>. The components of the electrical forces are then the partial derivatives of the function</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle at{\frac {\partial }{\partial z}}\left({\frac {1}{r}}\right).}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit data-moz-translations-id=7><font style=vertical-align:inherit data-moz-translations-id=8>
|
||
a
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=9><font style=vertical-align:inherit data-moz-translations-id=10><font style=vertical-align:inherit data-moz-translations-id=11>
|
||
t
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=12>
|
||
<mfrac data-moz-translations-id=13>
|
||
<mi mathvariant=normal data-moz-translations-id=14><font style=vertical-align:inherit data-moz-translations-id=15><font style=vertical-align:inherit data-moz-translations-id=16>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow data-moz-translations-id=17>
|
||
<mi mathvariant=normal data-moz-translations-id=18><font style=vertical-align:inherit data-moz-translations-id=19><font style=vertical-align:inherit data-moz-translations-id=20>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=21><font style=vertical-align:inherit data-moz-translations-id=22><font style=vertical-align:inherit data-moz-translations-id=23>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=24>
|
||
<mo data-moz-translations-id=25><font style=vertical-align:inherit data-moz-translations-id=26><font style=vertical-align:inherit data-moz-translations-id=27>
|
||
(
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=28>
|
||
<mfrac data-moz-translations-id=29>
|
||
<mn data-moz-translations-id=30><font style=vertical-align:inherit data-moz-translations-id=31><font style=vertical-align:inherit data-moz-translations-id=32>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=33><font style=vertical-align:inherit data-moz-translations-id=34><font style=vertical-align:inherit data-moz-translations-id=35>
|
||
r
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=36><font style=vertical-align:inherit data-moz-translations-id=37><font style=vertical-align:inherit data-moz-translations-id=38>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mo data-moz-translations-id=39><font style=vertical-align:inherit data-moz-translations-id=40><font style=vertical-align:inherit data-moz-translations-id=41>
|
||
.
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=42><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle at{\frac {\partial }{\partial z}}\left({\frac {1}{r}}\right).}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="12.153ex" height="6.176ex" style="vertical-align: -2.505ex;" viewBox="0 -1580.7 5232.3 2659.1" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle at{\frac {\partial }{\partial z}}\left({\frac {1}{r}}\right).}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-61" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMATHI-72" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMATHI-61" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-74" x="529" y="0"></use>
<g transform="translate(891,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1156" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-2202" x="294" y="676"></use>
<g transform="translate(60,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
<g transform="translate(2453,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="620" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="60" y="676"></use>
 <use xlink:href="#E1-MJMATHI-72" x="84" y="-686"></use>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="1597" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2E" x="4953" y="0"></use>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:12.153ex;height:6.176ex alt="{\displaystyle at{\frac {\partial }{\partial z}}\left({\frac {1}{r}}\right).}" data-moz-translations-id=43></span></center>
|
||
<p><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>This is the potential of an electric colon in the point</font></font>
|
||
<span class=mwe-math-element data-moz-translations-id=2><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=3><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle r=0}" data-moz-translations-id=4><semantics data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=7>
|
||
<mi data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9><font style=vertical-align:inherit data-moz-translations-id=10>
|
||
r
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=11><font style=vertical-align:inherit data-moz-translations-id=12><font style=vertical-align:inherit data-moz-translations-id=13>
|
||
=
|
||
</font></font></mo>
|
||
<mn data-moz-translations-id=14><font style=vertical-align:inherit data-moz-translations-id=15><font style=vertical-align:inherit data-moz-translations-id=16>
|
||
0
|
||
</font></font></mn>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle r=0}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,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 class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.338ex;width:5.31ex;height:2.176ex alt="{\displaystyle r=0}" data-moz-translations-id=18></span><font style=vertical-align:inherit data-moz-translations-id=19><font style=vertical-align:inherit data-moz-translations-id=20>with the positive and negative charge</font></font>
|
||
<span class=mwe-math-element data-moz-translations-id=21><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=22><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle at/l}" data-moz-translations-id=23><semantics data-moz-translations-id=24>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=25>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=26>
|
||
<mi data-moz-translations-id=27><font style=vertical-align:inherit data-moz-translations-id=28><font style=vertical-align:inherit data-moz-translations-id=29>
|
||
a
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=30><font style=vertical-align:inherit data-moz-translations-id=31><font style=vertical-align:inherit data-moz-translations-id=32>
|
||
t
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=33>
|
||
<mo data-moz-translations-id=34><font style=vertical-align:inherit data-moz-translations-id=35><font style=vertical-align:inherit data-moz-translations-id=36>
|
||
/
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mi data-moz-translations-id=37><font style=vertical-align:inherit data-moz-translations-id=38><font style=vertical-align:inherit data-moz-translations-id=39>
|
||
l
|
||
</font></font></mi>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle at/l}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.838ex;width:3.925ex;height:2.843ex alt="{\displaystyle at/l}" data-moz-translations-id=41></span><font style=vertical-align:inherit data-moz-translations-id=42><font style=vertical-align:inherit data-moz-translations-id=43>. The line connecting both charges</font></font>
|
||
<span class=mwe-math-element data-moz-translations-id=44><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=45><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle l}" data-moz-translations-id=46><semantics data-moz-translations-id=47>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=48>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=49>
|
||
<mi data-moz-translations-id=50><font style=vertical-align:inherit data-moz-translations-id=51><font style=vertical-align:inherit data-moz-translations-id=52>
|
||
l
|
||
</font></font></mi>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=53><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle l}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.338ex;width:0.693ex;height:2.176ex alt="{\displaystyle l}" data-moz-translations-id=54></span><font style=vertical-align:inherit data-moz-translations-id=55><font style=vertical-align:inherit data-moz-translations-id=56>is parallel to the</font></font> <i data-moz-translations-id=57><font style=vertical-align:inherit data-moz-translations-id=58><font style=vertical-align:inherit data-moz-translations-id=59>z</font></font></i> <font style=vertical-align:inherit data-moz-translations-id=60><font style=vertical-align:inherit data-moz-translations-id=61>-axis. The components of</font></font> <span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=62><font style=vertical-align:inherit data-moz-translations-id=63><font style=vertical-align:inherit data-moz-translations-id=64>Poynting</font></font></span> <font style=vertical-align:inherit data-moz-translations-id=65><font style=vertical-align:inherit data-moz-translations-id=66>'s energy flow are proportional to the quantities</font></font></p>
|
||
<table width=100%>
|
||
<tbody>
|
||
<tr>
|
||
<td valign=center style=text-align:left width=5%></td>
|
||
<td align=center><span class=mwe-math-element><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=0><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\mathfrak {P}}=ZM-YN=Aa^{2}tx\left({\frac {1}{r^{6}}}-{\frac {3z^{2}}{r^{8}}}\right)}" data-moz-translations-id=1><semantics data-moz-translations-id=2>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=3>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=4>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mi mathvariant=fraktur data-moz-translations-id=7><font style=vertical-align:inherit data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9>
|
||
P
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
Z
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
M
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
Y
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
N
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<msup data-moz-translations-id=18>
|
||
<mi data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
a
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=20>
|
||
<mn data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mrow data-moz-translations-id=24>
|
||
<mo data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=26>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=27>
|
||
<mfrac data-moz-translations-id=28>
|
||
<mn data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<msup data-moz-translations-id=30>
|
||
<mi data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=32>
|
||
<mn data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
6
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=35>
|
||
<mfrac data-moz-translations-id=36>
|
||
<mrow data-moz-translations-id=37>
|
||
<mn data-moz-translations-id=38><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
3
|
||
</font></font></mn>
|
||
<msup data-moz-translations-id=39>
|
||
<mi data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=41>
|
||
<mn data-moz-translations-id=42><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
<msup data-moz-translations-id=43>
|
||
<mi data-moz-translations-id=44><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=45>
|
||
<mn data-moz-translations-id=46><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
8th
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=48><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\mathfrak {P}}=ZM-YN=Aa^{2}tx\left({\frac {1}{r^{6}}}-{\frac {3z^{2}}{ r^{8}}}\right)}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="38.848ex" height="6.343ex" style="vertical-align: -2.505ex;" viewBox="0 -1652.5 16726.3 2730.8" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\mathfrak {P}}=ZM-YN=Aa^{2}tx\left({\frac {1}{r^{6}}}-{\frac {3z^{2}}{r^{8}}}\right)}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJFRAK-50" d="M112 339Q112 354 91 380T49 438T28 497Q28 565 95 628T242 692Q261 692 277 689T307 682T331 670T351 655T367 637T379 619T388 600T395 582T401 565T405 550Q409 554 422 570T453 603T500 641Q573 692 637 692Q656 692 670 686T692 672T705 647T713 618T718 584Q720 568 721 562T728 546T742 534T768 530Q776 531 782 532T791 535T796 536Q799 536 804 521Q801 519 789 513T764 499T738 480Q697 447 680 414Q677 407 677 396Q677 370 713 312T750 210Q750 125 686 57T560 -11Q540 -11 475 13L410 37V31Q410 -9 412 -50T417 -118T420 -150Q419 -150 373 -184T326 -218L305 -208Q305 -207 307 -196T314 -165T322 -116T328 -46T331 43V63L318 66Q270 80 250 80Q233 80 213 70Q183 57 138 -3L128 -16L118 5L125 20Q193 154 282 154Q309 154 331 146V287Q331 444 327 469Q321 522 301 560Q284 590 251 611T184 633Q146 633 119 607T92 550Q92 539 94 534Q100 516 143 460T186 386Q186 366 170 336T119 281Q102 264 70 250L49 260L56 266Q64 271 72 278T90 296T106 317T112 339ZM602 345Q602 357 608 371T622 397T642 421T661 441T678 456L686 462Q663 473 652 486T639 512T634 553Q631 594 624 608T593 631Q587 632 567 632Q539 632 497 600T416 497L410 484V122L467 103Q481 99 502 92T533 82T557 75T578 69T594 66T610 64Q647 64 672 87T697 144Q697 180 650 250T602 345Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMATHI-5A" d="M58 8Q58 23 64 35Q64 36 329 334T596 635L586 637Q575 637 512 637H500H476Q442 637 420 635T365 624T311 598T266 548T228 469Q227 466 226 463T224 458T223 453T222 450L221 448Q218 443 202 443Q185 443 182 453L214 561Q228 606 241 651Q249 679 253 681Q256 683 487 683H718Q723 678 723 675Q723 673 717 649Q189 54 188 52L185 49H274Q369 50 377 51Q452 60 500 100T579 247Q587 272 590 277T603 282H607Q628 282 628 271Q547 5 541 2Q538 0 300 0H124Q58 0 58 8Z"></path>
<path stroke-width="1" id="E1-MJMATHI-4D" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-59" d="M66 637Q54 637 49 637T39 638T32 641T30 647T33 664T42 682Q44 683 56 683Q104 680 165 680Q288 680 306 683H316Q322 677 322 674T320 656Q316 643 310 637H298Q242 637 242 624Q242 619 292 477T343 333L346 336Q350 340 358 349T379 373T411 410T454 461Q546 568 561 587T577 618Q577 634 545 637Q528 637 528 647Q528 649 530 661Q533 676 535 679T549 683Q551 683 578 682T657 680Q684 680 713 681T746 682Q763 682 763 673Q763 669 760 657T755 643Q753 637 734 637Q662 632 617 587Q608 578 477 424L348 273L322 169Q295 62 295 57Q295 46 363 46Q379 46 384 45T390 35Q390 33 388 23Q384 6 382 4T366 1Q361 1 324 1T232 2Q170 2 138 2T102 1Q84 1 84 9Q84 14 87 24Q88 27 89 30T90 35T91 39T93 42T96 44T101 45T107 45T116 46T129 46Q168 47 180 50T198 63Q201 68 227 171L252 274L129 623Q128 624 127 625T125 627T122 629T118 631T113 633T105 634T96 635T83 636T66 637Z"></path>
<path stroke-width="1" id="E1-MJMATHI-4E" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMATHI-61" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMATHI-72" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path>
<path stroke-width="1" id="E1-MJMAIN-33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJFRAK-50" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1106" y="0"></use>
 <use xlink:href="#E1-MJMATHI-5A" x="2162" y="0"></use>
 <use xlink:href="#E1-MJMATHI-4D" x="2886" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="4159" y="0"></use>
 <use xlink:href="#E1-MJMATHI-59" x="5160" y="0"></use>
 <use xlink:href="#E1-MJMATHI-4E" x="5924" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="7090" y="0"></use>
 <use xlink:href="#E1-MJMATHI-41" x="8146" y="0"></use>
<g transform="translate(8897,0)">
 <use xlink:href="#E1-MJMATHI-61" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="748" y="583"></use>
</g>
 <use xlink:href="#E1-MJMATHI-74" x="9880" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="10241" y="0"></use>
<g transform="translate(10981,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1025" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="262" y="676"></use>
<g transform="translate(60,-780)">
 <use xlink:href="#E1-MJMATHI-72" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-36" x="638" y="408"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="1487" y="0"></use>
<g transform="translate(2488,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1543" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-33" x="0" y="0"></use>
<g transform="translate(500,0)">
 <use xlink:href="#E1-MJMATHI-7A" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="663" y="513"></use>
</g>
</g>
<g transform="translate(319,-780)">
 <use xlink:href="#E1-MJMATHI-72" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-38" x="638" y="408"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="5008" y="-1"></use>
</g>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:38.848ex;height:6.343ex alt="{\displaystyle {\mathfrak {P}}=ZM-YN=Aa^{2}tx\left({\frac {1}{r^{6}}}-{\frac {3z^{2}}{ r^{8}}}\right)}" data-moz-translations-id=49></span> <p><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\mathfrak {Q}}=XN-ZL=Aa^{2}ty\left({\frac {1}{r^{6}}}-{\frac {3z^{2}}{r^{8}}}\right)}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=7>
|
||
<mi mathvariant=fraktur data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
Q
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
X
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
N
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
Z
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
L
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<msup data-moz-translations-id=17>
|
||
<mi data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
a
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=19>
|
||
<mn data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
<mrow data-moz-translations-id=23>
|
||
<mo data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=25>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=26>
|
||
<mfrac data-moz-translations-id=27>
|
||
<mn data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<msup data-moz-translations-id=29>
|
||
<mi data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=31>
|
||
<mn data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
6
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=34>
|
||
<mfrac data-moz-translations-id=35>
|
||
<mrow data-moz-translations-id=36>
|
||
<mn data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
3
|
||
</font></font></mn>
|
||
<msup data-moz-translations-id=38>
|
||
<mi data-moz-translations-id=39><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=40>
|
||
<mn data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
<msup data-moz-translations-id=42>
|
||
<mi data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=44>
|
||
<mn data-moz-translations-id=45><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
8th
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=46><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\mathfrak {Q}}=XN-ZL=Aa^{2}ty\left({\frac {1}{r^{6}}}-{\frac {3z^{2}}{ r^{8}}}\right)}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="38.019ex" height="6.343ex" style="vertical-align: -2.505ex;" viewBox="0 -1652.5 16369.3 2730.8" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\mathfrak {Q}}=XN-ZL=Aa^{2}ty\left({\frac {1}{r^{6}}}-{\frac {3z^{2}}{r^{8}}}\right)}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJFRAK-51" d="M428 596Q412 596 386 595T350 593Q313 593 291 605T268 638Q268 644 269 648T274 658T284 669T301 689T326 718L336 729H343Q351 729 351 728Q342 710 342 703Q342 683 382 676T493 662T604 643Q744 592 744 398Q744 299 708 213T646 104L603 68L614 55Q670 -5 710 -5Q726 -5 744 1T772 14L781 20Q782 20 782 7V-6L771 -13Q673 -69 665 -69L647 -63Q552 -30 514 8H512Q509 8 500 3T471 -9T428 -23Q405 -27 377 -27Q305 -24 228 6T124 36Q69 36 27 -16Q23 -13 19 -8L11 0L27 20Q93 102 109 109Q145 123 166 150T187 207Q187 244 134 318T80 412Q80 454 112 498T176 566T213 590Q216 590 224 585L234 580L225 573Q216 566 207 557T188 536T172 511T165 484Q165 448 213 368T261 259Q261 241 252 219T228 179T200 146T176 122L167 112Q170 111 174 111Q188 110 233 91T339 55T453 37Q508 37 556 68T626 152Q655 219 655 328Q655 543 532 582Q484 596 428 596Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMATHI-58" d="M42 0H40Q26 0 26 11Q26 15 29 27Q33 41 36 43T55 46Q141 49 190 98Q200 108 306 224T411 342Q302 620 297 625Q288 636 234 637H206Q200 643 200 645T202 664Q206 677 212 683H226Q260 681 347 681Q380 681 408 681T453 682T473 682Q490 682 490 671Q490 670 488 658Q484 643 481 640T465 637Q434 634 411 620L488 426L541 485Q646 598 646 610Q646 628 622 635Q617 635 609 637Q594 637 594 648Q594 650 596 664Q600 677 606 683H618Q619 683 643 683T697 681T738 680Q828 680 837 683H845Q852 676 852 672Q850 647 840 637H824Q790 636 763 628T722 611T698 593L687 584Q687 585 592 480L505 384Q505 383 536 304T601 142T638 56Q648 47 699 46Q734 46 734 37Q734 35 732 23Q728 7 725 4T711 1Q708 1 678 1T589 2Q528 2 496 2T461 1Q444 1 444 10Q444 11 446 25Q448 35 450 39T455 44T464 46T480 47T506 54Q523 62 523 64Q522 64 476 181L429 299Q241 95 236 84Q232 76 232 72Q232 53 261 47Q262 47 267 47T273 46Q276 46 277 46T280 45T283 42T284 35Q284 26 282 19Q279 6 276 4T261 1Q258 1 243 1T201 2T142 2Q64 2 42 0Z"></path>
<path stroke-width="1" id="E1-MJMATHI-4E" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-5A" d="M58 8Q58 23 64 35Q64 36 329 334T596 635L586 637Q575 637 512 637H500H476Q442 637 420 635T365 624T311 598T266 548T228 469Q227 466 226 463T224 458T223 453T222 450L221 448Q218 443 202 443Q185 443 182 453L214 561Q228 606 241 651Q249 679 253 681Q256 683 487 683H718Q723 678 723 675Q723 673 717 649Q189 54 188 52L185 49H274Q369 50 377 51Q452 60 500 100T579 247Q587 272 590 277T603 282H607Q628 282 628 271Q547 5 541 2Q538 0 300 0H124Q58 0 58 8Z"></path>
<path stroke-width="1" id="E1-MJMATHI-4C" d="M228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 217 683Q271 680 344 680Q485 680 506 683H518Q524 677 524 674T522 656Q517 641 513 637H475Q406 636 394 628Q387 624 380 600T313 336Q297 271 279 198T252 88L243 52Q243 48 252 48T311 46H328Q360 46 379 47T428 54T478 72T522 106T564 161Q580 191 594 228T611 270Q616 273 628 273H641Q647 264 647 262T627 203T583 83T557 9Q555 4 553 3T537 0T494 -1Q483 -1 418 -1T294 0H116Q32 0 32 10Q32 17 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMATHI-61" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMATHI-79" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMATHI-72" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path>
<path stroke-width="1" id="E1-MJMAIN-33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJFRAK-51" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1105" y="0"></use>
 <use xlink:href="#E1-MJMATHI-58" x="2161" y="0"></use>
 <use xlink:href="#E1-MJMATHI-4E" x="3014" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="4124" y="0"></use>
 <use xlink:href="#E1-MJMATHI-5A" x="5125" y="0"></use>
 <use xlink:href="#E1-MJMATHI-4C" x="5849" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="6808" y="0"></use>
 <use xlink:href="#E1-MJMATHI-41" x="7864" y="0"></use>
<g transform="translate(8615,0)">
 <use xlink:href="#E1-MJMATHI-61" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="748" y="583"></use>
</g>
 <use xlink:href="#E1-MJMATHI-74" x="9598" y="0"></use>
 <use xlink:href="#E1-MJMATHI-79" x="9959" y="0"></use>
<g transform="translate(10624,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1025" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="262" y="676"></use>
<g transform="translate(60,-780)">
 <use xlink:href="#E1-MJMATHI-72" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-36" x="638" y="408"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="1487" y="0"></use>
<g transform="translate(2488,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1543" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-33" x="0" y="0"></use>
<g transform="translate(500,0)">
 <use xlink:href="#E1-MJMATHI-7A" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="663" y="513"></use>
</g>
</g>
<g transform="translate(319,-780)">
 <use xlink:href="#E1-MJMATHI-72" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-38" x="638" y="408"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="5008" y="-1"></use>
</g>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:38.019ex;height:6.343ex alt="{\displaystyle {\mathfrak {Q}}=XN-ZL=Aa^{2}ty\left({\frac {1}{r^{6}}}-{\frac {3z^{2}}{ r^{8}}}\right)}" data-moz-translations-id=48></span><p><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\mathfrak {R}}=YL-XM=3Aa^{2}tz{\frac {x^{2}+y^{2}}{r^{8}}}.}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=7>
|
||
<mi mathvariant=fraktur data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
R
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
Y
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
L
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
X
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
M
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mn data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
3
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<msup data-moz-translations-id=18>
|
||
<mi data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
a
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=20>
|
||
<mn data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=24>
|
||
<mfrac data-moz-translations-id=25>
|
||
<mrow data-moz-translations-id=26>
|
||
<msup data-moz-translations-id=27>
|
||
<mi data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=29>
|
||
<mn data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<msup data-moz-translations-id=32>
|
||
<mi data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=34>
|
||
<mn data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
<msup data-moz-translations-id=36>
|
||
<mi data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=38>
|
||
<mn data-moz-translations-id=39><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
8th
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
.
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\mathfrak {R}}=YL-XM=3Aa^{2}tz{\frac {x^{2}+y^{2}}{r^{8}}}.}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="34.779ex" height="6.009ex" style="vertical-align: -2.171ex;" viewBox="0 -1652.5 14974.4 2587.3" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\mathfrak {R}}=YL-XM=3Aa^{2}tz{\frac {x^{2}+y^{2}}{r^{8}}}.}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJFRAK-52" d="M27 496Q31 569 102 627T234 685Q236 685 241 685T251 686Q287 686 318 672T367 638T399 598T418 564L423 550Q424 554 434 567T463 601T505 639T561 671T626 685Q672 685 688 659T710 572Q713 533 721 523T766 513Q781 513 787 514T794 516Q796 512 798 509T801 504T802 501T787 493Q702 461 624 401L607 389Q655 383 688 358L697 352V342Q699 330 699 297Q704 209 710 173T734 103Q751 69 765 69Q769 69 806 83L824 90V74Q823 73 759 24T693 -26Q692 -26 660 32L628 90L629 111Q631 159 631 177Q631 278 614 300Q584 340 523 340Q500 340 467 333T431 325Q429 325 429 322Q428 321 426 308T420 275T410 230T392 178T366 125L358 112L342 99Q306 70 269 38T213 -10T193 -26Q192 -26 163 0T116 26Q82 26 50 -8L42 -16L35 -8L27 0L35 10Q43 21 58 38T104 80T158 106Q179 106 218 65L235 48Q238 48 255 60T295 99T329 158Q352 231 352 359Q352 555 242 614Q210 628 187 628Q140 628 116 600T91 548Q91 522 138 464T185 382V376Q185 345 158 313T103 263L76 246Q74 244 64 253L54 260L65 267Q91 285 100 302Q111 318 111 337Q111 355 69 410T27 496ZM562 628Q504 628 443 507L435 491L436 479Q437 471 437 446Q437 396 432 351L529 389L602 426Q673 462 673 463H672Q644 470 637 483T622 553Q608 628 562 628Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMATHI-59" d="M66 637Q54 637 49 637T39 638T32 641T30 647T33 664T42 682Q44 683 56 683Q104 680 165 680Q288 680 306 683H316Q322 677 322 674T320 656Q316 643 310 637H298Q242 637 242 624Q242 619 292 477T343 333L346 336Q350 340 358 349T379 373T411 410T454 461Q546 568 561 587T577 618Q577 634 545 637Q528 637 528 647Q528 649 530 661Q533 676 535 679T549 683Q551 683 578 682T657 680Q684 680 713 681T746 682Q763 682 763 673Q763 669 760 657T755 643Q753 637 734 637Q662 632 617 587Q608 578 477 424L348 273L322 169Q295 62 295 57Q295 46 363 46Q379 46 384 45T390 35Q390 33 388 23Q384 6 382 4T366 1Q361 1 324 1T232 2Q170 2 138 2T102 1Q84 1 84 9Q84 14 87 24Q88 27 89 30T90 35T91 39T93 42T96 44T101 45T107 45T116 46T129 46Q168 47 180 50T198 63Q201 68 227 171L252 274L129 623Q128 624 127 625T125 627T122 629T118 631T113 633T105 634T96 635T83 636T66 637Z"></path>
<path stroke-width="1" id="E1-MJMATHI-4C" d="M228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 217 683Q271 680 344 680Q485 680 506 683H518Q524 677 524 674T522 656Q517 641 513 637H475Q406 636 394 628Q387 624 380 600T313 336Q297 271 279 198T252 88L243 52Q243 48 252 48T311 46H328Q360 46 379 47T428 54T478 72T522 106T564 161Q580 191 594 228T611 270Q616 273 628 273H641Q647 264 647 262T627 203T583 83T557 9Q555 4 553 3T537 0T494 -1Q483 -1 418 -1T294 0H116Q32 0 32 10Q32 17 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-58" d="M42 0H40Q26 0 26 11Q26 15 29 27Q33 41 36 43T55 46Q141 49 190 98Q200 108 306 224T411 342Q302 620 297 625Q288 636 234 637H206Q200 643 200 645T202 664Q206 677 212 683H226Q260 681 347 681Q380 681 408 681T453 682T473 682Q490 682 490 671Q490 670 488 658Q484 643 481 640T465 637Q434 634 411 620L488 426L541 485Q646 598 646 610Q646 628 622 635Q617 635 609 637Q594 637 594 648Q594 650 596 664Q600 677 606 683H618Q619 683 643 683T697 681T738 680Q828 680 837 683H845Q852 676 852 672Q850 647 840 637H824Q790 636 763 628T722 611T698 593L687 584Q687 585 592 480L505 384Q505 383 536 304T601 142T638 56Q648 47 699 46Q734 46 734 37Q734 35 732 23Q728 7 725 4T711 1Q708 1 678 1T589 2Q528 2 496 2T461 1Q444 1 444 10Q444 11 446 25Q448 35 450 39T455 44T464 46T480 47T506 54Q523 62 523 64Q522 64 476 181L429 299Q241 95 236 84Q232 76 232 72Q232 53 261 47Q262 47 267 47T273 46Q276 46 277 46T280 45T283 42T284 35Q284 26 282 19Q279 6 276 4T261 1Q258 1 243 1T201 2T142 2Q64 2 42 0Z"></path>
<path stroke-width="1" id="E1-MJMATHI-4D" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path>
<path stroke-width="1" id="E1-MJMAIN-33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMATHI-61" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-79" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMATHI-72" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJFRAK-52" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1106" y="0"></use>
 <use xlink:href="#E1-MJMATHI-59" x="2162" y="0"></use>
 <use xlink:href="#E1-MJMATHI-4C" x="2926" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="3829" y="0"></use>
 <use xlink:href="#E1-MJMATHI-58" x="4830" y="0"></use>
 <use xlink:href="#E1-MJMATHI-4D" x="5683" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="7012" y="0"></use>
 <use xlink:href="#E1-MJMAIN-33" x="8068" y="0"></use>
 <use xlink:href="#E1-MJMATHI-41" x="8569" y="0"></use>
<g transform="translate(9319,0)">
 <use xlink:href="#E1-MJMATHI-61" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="748" y="583"></use>
</g>
 <use xlink:href="#E1-MJMATHI-74" x="10302" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="10664" y="0"></use>
<g transform="translate(11132,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="3322" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="809" y="513"></use>
 <use xlink:href="#E1-MJMAIN-2B" x="1248" y="0"></use>
<g transform="translate(2249,0)">
 <use xlink:href="#E1-MJMATHI-79" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="706" y="513"></use>
</g>
</g>
<g transform="translate(1208,-780)">
 <use xlink:href="#E1-MJMATHI-72" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-38" x="638" y="408"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2E" x="14695" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.171ex;width:34.779ex;height:6.009ex alt="{\displaystyle {\mathfrak {R}}=YL-XM=3Aa^{2}tz{\frac {x^{2}+y^{2}}{r^{8}}}.}" data-moz-translations-id=42></span></p></td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Now let's set</font></font></p>
|
||
<table width=100%>
|
||
<tbody>
|
||
<tr>
|
||
<td valign=center style=text-align:left width=5%></td>
|
||
<td align=center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\begin{array}{lllll}x=\varrho \cos \vartheta &&y=\varrho \sin \vartheta &&{\frac {dx}{dt}}=\alpha ={\frac {d\varrho }{dt}}\cos \vartheta -\varrho \sin \vartheta {\frac {d\vartheta }{dt}}\\\\{\frac {d\vartheta }{dt}}=\eta &&{\frac {d\varrho }{dt}}=\zeta &&{\frac {dy}{dt}}=\beta ={\frac {d\varrho }{dt}}\sin \vartheta +\varrho \cos \vartheta {\frac {d\vartheta }{dt}}\\\\&&&&{\frac {dz}{dt}}=\gamma ,\end{array}}}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mtable columnalign="left left left left left" rowspacing=4pt columnspacing=1em data-moz-translations-id=7>
|
||
<mtr data-moz-translations-id=8>
|
||
<mtd data-moz-translations-id=9>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
cos
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϑ</font></font>
|
||
</mi>
|
||
</mtd>
|
||
<mtd data-moz-translations-id=16></mtd>
|
||
<mtd data-moz-translations-id=17>
|
||
<mi data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϑ</font></font>
|
||
</mi>
|
||
</mtd>
|
||
<mtd data-moz-translations-id=24></mtd>
|
||
<mtd data-moz-translations-id=25>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=26>
|
||
<mfrac data-moz-translations-id=27>
|
||
<mrow data-moz-translations-id=28>
|
||
<mi data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=31>
|
||
<mi data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=37>
|
||
<mfrac data-moz-translations-id=38>
|
||
<mrow data-moz-translations-id=39>
|
||
<mi data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=42>
|
||
<mi data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=44><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mi data-moz-translations-id=45><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
cos
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=46><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϑ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=48><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=49><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=50><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=51><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=52><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϑ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=53>
|
||
<mfrac data-moz-translations-id=54>
|
||
<mrow data-moz-translations-id=55>
|
||
<mi data-moz-translations-id=56><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=57><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϑ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=58>
|
||
<mi data-moz-translations-id=59><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=60><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=61>
|
||
<mtd data-moz-translations-id=62></mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=63>
|
||
<mtd data-moz-translations-id=64>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=65>
|
||
<mfrac data-moz-translations-id=66>
|
||
<mrow data-moz-translations-id=67>
|
||
<mi data-moz-translations-id=68><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=69><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϑ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=70>
|
||
<mi data-moz-translations-id=71><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=72><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=73><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=74><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
η</font></font>
|
||
</mi>
|
||
</mtd>
|
||
<mtd data-moz-translations-id=75></mtd>
|
||
<mtd data-moz-translations-id=76>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=77>
|
||
<mfrac data-moz-translations-id=78>
|
||
<mrow data-moz-translations-id=79>
|
||
<mi data-moz-translations-id=80><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=81><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=82>
|
||
<mi data-moz-translations-id=83><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=84><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=85><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=86><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ζ</font></font>
|
||
</mi>
|
||
</mtd>
|
||
<mtd data-moz-translations-id=87></mtd>
|
||
<mtd data-moz-translations-id=88>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=89>
|
||
<mfrac data-moz-translations-id=90>
|
||
<mrow data-moz-translations-id=91>
|
||
<mi data-moz-translations-id=92><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=93><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=94>
|
||
<mi data-moz-translations-id=95><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=96><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=97><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=98><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
β</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=99><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=100>
|
||
<mfrac data-moz-translations-id=101>
|
||
<mrow data-moz-translations-id=102>
|
||
<mi data-moz-translations-id=103><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=104><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=105>
|
||
<mi data-moz-translations-id=106><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=107><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mi data-moz-translations-id=108><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=109><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=110><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϑ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=111><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=112><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=113><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
cos
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=114><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=115><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϑ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=116>
|
||
<mfrac data-moz-translations-id=117>
|
||
<mrow data-moz-translations-id=118>
|
||
<mi data-moz-translations-id=119><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=120><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϑ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=121>
|
||
<mi data-moz-translations-id=122><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=123><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=124>
|
||
<mtd data-moz-translations-id=125></mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=126>
|
||
<mtd data-moz-translations-id=127></mtd>
|
||
<mtd data-moz-translations-id=128></mtd>
|
||
<mtd data-moz-translations-id=129></mtd>
|
||
<mtd data-moz-translations-id=130></mtd>
|
||
<mtd data-moz-translations-id=131>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=132>
|
||
<mfrac data-moz-translations-id=133>
|
||
<mrow data-moz-translations-id=134>
|
||
<mi data-moz-translations-id=135><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=136><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=137>
|
||
<mi data-moz-translations-id=138><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=139><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=140><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=141><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=142><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mtd>
|
||
</mtr>
|
||
</mtable>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=143><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\begin{array}{lllll}x=\varrho \cos \vartheta &&y=\varrho \sin \vartheta &&{\frac {dx}{dt}}=\alpha ={\frac {d\varrho }{dt}}\cos \vartheta -\varrho \sin \vartheta {\frac {d\vartheta }{dt}}\\\\{\frac {d\vartheta }{dt}}=\eta &&{\ frac {d\varrho }{dt}}=\zeta &&{\frac {dy}{dt}}=\beta ={\frac {d\varrho }{dt}}\sin \vartheta +\varrho \cos \ vartheta {\frac {d\vartheta }{dt}}\\\\&&&&{\frac {dz}{dt}}=\gamma ,\end{array}}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="61.229ex" height="19.176ex" style="vertical-align: -8.749ex; margin-bottom: -0.256ex;" viewBox="0 -4379.3 26362.6 8256.3" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\begin{array}{lllll}x=\varrho \cos \vartheta &amp;&amp;y=\varrho \sin \vartheta &amp;&amp;{\frac {dx}{dt}}=\alpha ={\frac {d\varrho }{dt}}\cos \vartheta -\varrho \sin \vartheta {\frac {d\vartheta }{dt}}\\\\{\frac {d\vartheta }{dt}}=\eta &amp;&amp;{\frac {d\varrho }{dt}}=\zeta &amp;&amp;{\frac {dy}{dt}}=\beta ={\frac {d\varrho }{dt}}\sin \vartheta +\varrho \cos \vartheta {\frac {d\vartheta }{dt}}\\\\&amp;&amp;&amp;&amp;{\frac {dz}{dt}}=\gamma ,\end{array}}}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-63" d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z"></path>
<path stroke-width="1" id="E1-MJMAIN-73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3D1" d="M537 500Q537 474 533 439T524 383L521 362Q558 355 561 351Q563 349 563 345Q563 321 552 318Q542 318 521 323L510 326Q496 261 459 187T362 51T241 -11Q100 -11 100 105Q100 139 127 242T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Q21 291 27 313T47 368T79 418Q103 442 134 442Q169 442 201 419T233 344Q232 330 206 228T180 98Q180 26 247 26Q292 26 332 90T404 260L427 349Q422 349 398 359T339 392T289 440Q265 476 265 520Q265 590 312 647T417 705Q463 705 491 670T528 592T537 500ZM464 564Q464 668 413 668Q373 668 339 622T304 522Q304 494 317 470T349 431T388 406T421 391T435 387H436L443 415Q450 443 457 485T464 564Z"></path>
<path stroke-width="1" id="E1-MJMATHI-79" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-69" d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path>
<path stroke-width="1" id="E1-MJMATHI-64" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B1" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B7" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q156 442 175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336V326Q503 302 439 53Q381 -182 377 -189Q364 -216 332 -216Q319 -216 310 -208T299 -186Q299 -177 358 57L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B6" d="M296 643Q298 704 324 704Q342 704 342 687Q342 682 339 664T336 633Q336 623 337 618T338 611Q339 612 341 612Q343 614 354 616T374 618L384 619H394Q471 619 471 586Q467 548 386 546H372Q338 546 320 564L311 558Q235 506 175 398T114 190Q114 171 116 155T125 127T137 104T153 86T171 72T192 61T213 53T235 46T256 39L322 16Q389 -10 389 -80Q389 -119 364 -154T300 -202Q292 -204 274 -204Q247 -204 225 -196Q210 -192 193 -182T172 -167Q167 -159 173 -148Q180 -139 191 -139Q195 -139 221 -153T283 -168Q298 -166 310 -152T322 -117Q322 -91 302 -75T250 -51T183 -29T116 4T65 62T44 160Q44 287 121 410T293 590L302 595Q296 613 296 643Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B2" d="M29 -194Q23 -188 23 -186Q23 -183 102 134T186 465Q208 533 243 584T309 658Q365 705 429 705H431Q493 705 533 667T573 570Q573 465 469 396L482 383Q533 332 533 252Q533 139 448 65T257 -10Q227 -10 203 -2T165 17T143 40T131 59T126 65L62 -188Q60 -194 42 -194H29ZM353 431Q392 431 427 419L432 422Q436 426 439 429T449 439T461 453T472 471T484 495T493 524T501 560Q503 569 503 593Q503 611 502 616Q487 667 426 667Q384 667 347 643T286 582T247 514T224 455Q219 439 186 308T152 168Q151 163 151 147Q151 99 173 68Q204 26 260 26Q302 26 349 51T425 137Q441 171 449 214T457 279Q457 337 422 372Q380 358 347 358H337Q258 358 258 389Q258 396 261 403Q275 431 353 431Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B3" d="M31 249Q11 249 11 258Q11 275 26 304T66 365T129 418T206 441Q233 441 239 440Q287 429 318 386T371 255Q385 195 385 170Q385 166 386 166L398 193Q418 244 443 300T486 391T508 430Q510 431 524 431H537Q543 425 543 422Q543 418 522 378T463 251T391 71Q385 55 378 6T357 -100Q341 -165 330 -190T303 -216Q286 -216 286 -188Q286 -138 340 32L346 51L347 69Q348 79 348 100Q348 257 291 317Q251 355 196 355Q148 355 108 329T51 260Q49 251 47 251Q45 249 31 249Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
<g transform="translate(167,0)">
<g transform="translate(-11,0)">
<g transform="translate(0,3192)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="850" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="1906" y="0"></use>
<g transform="translate(2590,0)">
 <use xlink:href="#E1-MJMAIN-63"></use>
 <use xlink:href="#E1-MJMAIN-6F" x="444" y="0"></use>
 <use xlink:href="#E1-MJMAIN-73" x="945" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3D1" x="4096" y="0"></use>
</g>
<g transform="translate(0,-134)">
<g transform="translate(120,0)">
<rect stroke="none" width="908" height="60" x="0" y="220"></rect>
<g transform="translate(60,453)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3D1" x="523" y="0"></use>
</g>
<g transform="translate(141,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="523" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="1426" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B7" x="2482" y="0"></use>
</g>
</g>
<g transform="translate(6677,0)">
<g transform="translate(0,3192)">
 <use xlink:href="#E1-MJMATHI-79" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="775" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="1831" y="0"></use>
<g transform="translate(2515,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3D1" x="3911" y="0"></use>
</g>
<g transform="translate(0,-134)">
<g transform="translate(120,0)">
<rect stroke="none" width="856" height="60" x="0" y="220"></rect>
<g transform="translate(60,582)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3F1" x="523" y="0"></use>
</g>
<g transform="translate(115,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="523" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="1373" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B6" x="2430" y="0"></use>
</g>
</g>
<g transform="translate(13181,0)">
<g transform="translate(0,3192)">
<g transform="translate(120,0)">
<rect stroke="none" width="894" height="60" x="0" y="220"></rect>
<g transform="translate(60,453)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="523" y="0"></use>
</g>
<g transform="translate(134,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="523" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="1412" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B1" x="2469" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="3387" y="0"></use>
<g transform="translate(4443,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="856" height="60" x="0" y="220"></rect>
<g transform="translate(60,582)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3F1" x="523" y="0"></use>
</g>
<g transform="translate(115,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="523" y="0"></use>
</g>
</g>
</g>
<g transform="translate(5706,0)">
 <use xlink:href="#E1-MJMAIN-63"></use>
 <use xlink:href="#E1-MJMAIN-6F" x="444" y="0"></use>
 <use xlink:href="#E1-MJMAIN-73" x="945" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3D1" x="7212" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="8026" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="9026" y="0"></use>
<g transform="translate(9711,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3D1" x="11107" y="0"></use>
<g transform="translate(11698,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="908" height="60" x="0" y="220"></rect>
<g transform="translate(60,453)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3D1" x="523" y="0"></use>
</g>
<g transform="translate(141,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="523" y="0"></use>
</g>
</g>
</g>
</g>
<g transform="translate(0,-134)">
<g transform="translate(120,0)">
<rect stroke="none" width="841" height="60" x="0" y="220"></rect>
<g transform="translate(60,590)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-79" x="523" y="0"></use>
</g>
<g transform="translate(108,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="523" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="1359" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B2" x="2416" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="3267" y="0"></use>
<g transform="translate(4323,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="856" height="60" x="0" y="220"></rect>
<g transform="translate(60,582)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3F1" x="523" y="0"></use>
</g>
<g transform="translate(115,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="523" y="0"></use>
</g>
</g>
</g>
<g transform="translate(5586,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3D1" x="6982" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2B" x="7796" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="8796" y="0"></use>
<g transform="translate(9481,0)">
 <use xlink:href="#E1-MJMAIN-63"></use>
 <use xlink:href="#E1-MJMAIN-6F" x="444" y="0"></use>
 <use xlink:href="#E1-MJMAIN-73" x="945" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3D1" x="10987" y="0"></use>
<g transform="translate(11578,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="908" height="60" x="0" y="220"></rect>
<g transform="translate(60,453)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3D1" x="523" y="0"></use>
</g>
<g transform="translate(141,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="523" y="0"></use>
</g>
</g>
</g>
</g>
<g transform="translate(0,-3323)">
<g transform="translate(120,0)">
<rect stroke="none" width="821" height="60" x="0" y="220"></rect>
<g transform="translate(60,453)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="523" y="0"></use>
</g>
<g transform="translate(97,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="523" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="1339" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B3" x="2395" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2C" x="2939" y="0"></use>
</g>
</g>
</g>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-8.749ex;margin-bottom:-0.256ex;width:61.229ex;height:19.176ex alt="{\displaystyle {\begin{array}{lllll}x=\varrho \cos \vartheta &&y=\varrho \sin \vartheta &&{\frac {dx}{dt}}=\alpha ={\frac {d\varrho }{dt}}\cos \vartheta -\varrho \sin \vartheta {\frac {d\vartheta }{dt}}\\\\{\frac {d\vartheta }{dt}}=\eta &&{\ frac {d\varrho }{dt}}=\zeta &&{\frac {dy}{dt}}=\beta ={\frac {d\varrho }{dt}}\sin \vartheta +\varrho \cos \ vartheta {\frac {d\vartheta }{dt}}\\\\&&&&{\frac {dz}{dt}}=\gamma ,\end{array}}}" data-moz-translations-id=144></span></td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>this is what the equation of incompressibility requires</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\frac {\partial \alpha }{\partial x}}+{\frac {\partial \beta }{\partial y}}+{\frac {\partial \gamma }{\partial z}}=0,}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mfrac data-moz-translations-id=7>
|
||
<mrow data-moz-translations-id=8>
|
||
<mi mathvariant=normal data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=11>
|
||
<mi mathvariant=normal data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=15>
|
||
<mfrac data-moz-translations-id=16>
|
||
<mrow data-moz-translations-id=17>
|
||
<mi mathvariant=normal data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
β</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=20>
|
||
<mi mathvariant=normal data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=24>
|
||
<mfrac data-moz-translations-id=25>
|
||
<mrow data-moz-translations-id=26>
|
||
<mi mathvariant=normal data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=29>
|
||
<mi mathvariant=normal data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mn data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
0
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\frac {\partial \alpha }{\partial x}}+{\frac {\partial \beta }{\partial y}}+{\frac {\partial \gamma }{\partial z}} =0,}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="21.133ex" height="6.176ex" style="vertical-align: -2.505ex;" viewBox="0 -1580.7 9098.9 2659.1" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\frac {\partial \alpha }{\partial x}}+{\frac {\partial \beta }{\partial y}}+{\frac {\partial \gamma }{\partial z}}=0,}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B1" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B2" d="M29 -194Q23 -188 23 -186Q23 -183 102 134T186 465Q208 533 243 584T309 658Q365 705 429 705H431Q493 705 533 667T573 570Q573 465 469 396L482 383Q533 332 533 252Q533 139 448 65T257 -10Q227 -10 203 -2T165 17T143 40T131 59T126 65L62 -188Q60 -194 42 -194H29ZM353 431Q392 431 427 419L432 422Q436 426 439 429T449 439T461 453T472 471T484 495T493 524T501 560Q503 569 503 593Q503 611 502 616Q487 667 426 667Q384 667 347 643T286 582T247 514T224 455Q219 439 186 308T152 168Q151 163 151 147Q151 99 173 68Q204 26 260 26Q302 26 349 51T425 137Q441 171 449 214T457 279Q457 337 422 372Q380 358 347 358H337Q258 358 258 389Q258 396 261 403Q275 431 353 431Z"></path>
<path stroke-width="1" id="E1-MJMATHI-79" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B3" d="M31 249Q11 249 11 258Q11 275 26 304T66 365T129 418T206 441Q233 441 239 440Q287 429 318 386T371 255Q385 195 385 170Q385 166 386 166L398 193Q418 244 443 300T486 391T508 430Q510 431 524 431H537Q543 425 543 422Q543 418 522 378T463 251T391 71Q385 55 378 6T357 -100Q341 -165 330 -190T303 -216Q286 -216 286 -188Q286 -138 340 32L346 51L347 69Q348 79 348 100Q348 257 291 317Q251 355 196 355Q148 355 108 329T51 260Q49 251 47 251Q45 249 31 249Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
<g transform="translate(120,0)">
<rect stroke="none" width="1328" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B1" x="567" y="0"></use>
</g>
<g transform="translate(94,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="1790" y="0"></use>
<g transform="translate(2790,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1261" height="60" x="0" y="220"></rect>
<g transform="translate(60,714)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B2" x="567" y="0"></use>
</g>
<g transform="translate(98,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-79" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="4514" y="0"></use>
<g transform="translate(5514,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1231" height="60" x="0" y="220"></rect>
<g transform="translate(60,736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B3" x="567" y="0"></use>
</g>
<g transform="translate(97,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="7263" y="0"></use>
 <use xlink:href="#E1-MJMAIN-30" x="8319" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2C" x="8820" y="0"></use>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:21.133ex;height:6.176ex alt="{\displaystyle {\frac {\partial \alpha }{\partial x}}+{\frac {\partial \beta }{\partial y}}+{\frac {\partial \gamma }{\partial z}} =0,}" data-moz-translations-id=36></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>that that</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \alpha ={\frac {\partial \psi }{\partial z}}{\frac {x}{\varrho ^{2}}}-\eta y\quad \beta ={\frac {\partial \psi }{\partial z}}{\frac {y}{\varrho ^{2}}}+\eta x\quad \gamma =-{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }}}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=8>
|
||
<mfrac data-moz-translations-id=9>
|
||
<mrow data-moz-translations-id=10>
|
||
<mi mathvariant=normal data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=13>
|
||
<mi mathvariant=normal data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=16>
|
||
<mfrac data-moz-translations-id=17>
|
||
<mi data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<msup data-moz-translations-id=19>
|
||
<mi data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=21>
|
||
<mn data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
η</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
<mspace width=1em data-moz-translations-id=26></mspace>
|
||
<mi data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
β</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=29>
|
||
<mfrac data-moz-translations-id=30>
|
||
<mrow data-moz-translations-id=31>
|
||
<mi mathvariant=normal data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=34>
|
||
<mi mathvariant=normal data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=37>
|
||
<mfrac data-moz-translations-id=38>
|
||
<mi data-moz-translations-id=39><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
<msup data-moz-translations-id=40>
|
||
<mi data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=42>
|
||
<mn data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=44><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=45><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
η</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=46><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mspace width=1em data-moz-translations-id=47></mspace>
|
||
<mi data-moz-translations-id=48><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=49><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mo data-moz-translations-id=50><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=51>
|
||
<mfrac data-moz-translations-id=52>
|
||
<mn data-moz-translations-id=53><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=54><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=55>
|
||
<mfrac data-moz-translations-id=56>
|
||
<mrow data-moz-translations-id=57>
|
||
<mi mathvariant=normal data-moz-translations-id=58><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=59><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=60>
|
||
<mi mathvariant=normal data-moz-translations-id=61><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=62><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=63><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \alpha ={\frac {\partial \psi }{\partial z}}{\frac {x}{\varrho ^{2}}}-\eta y\quad \beta ={\frac {\ partial \psi }{\partial z}}{\frac {y}{\varrho ^{2}}}+\eta x\quad \gamma =-{\frac {1}{\varrho }}{\frac { \partial \psi }{\partial \varrho }}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="49.56ex" height="6.176ex" style="vertical-align: -2.505ex;" viewBox="0 -1580.7 21338.4 2659.1" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle \alpha ={\frac {\partial \psi }{\partial z}}{\frac {x}{\varrho ^{2}}}-\eta y\quad \beta ={\frac {\partial \psi }{\partial z}}{\frac {y}{\varrho ^{2}}}+\eta x\quad \gamma =-{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }}}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-3B1" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C8" d="M161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B7" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q156 442 175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336V326Q503 302 439 53Q381 -182 377 -189Q364 -216 332 -216Q319 -216 310 -208T299 -186Q299 -177 358 57L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMATHI-79" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B2" d="M29 -194Q23 -188 23 -186Q23 -183 102 134T186 465Q208 533 243 584T309 658Q365 705 429 705H431Q493 705 533 667T573 570Q573 465 469 396L482 383Q533 332 533 252Q533 139 448 65T257 -10Q227 -10 203 -2T165 17T143 40T131 59T126 65L62 -188Q60 -194 42 -194H29ZM353 431Q392 431 427 419L432 422Q436 426 439 429T449 439T461 453T472 471T484 495T493 524T501 560Q503 569 503 593Q503 611 502 616Q487 667 426 667Q384 667 347 643T286 582T247 514T224 455Q219 439 186 308T152 168Q151 163 151 147Q151 99 173 68Q204 26 260 26Q302 26 349 51T425 137Q441 171 449 214T457 279Q457 337 422 372Q380 358 347 358H337Q258 358 258 389Q258 396 261 403Q275 431 353 431Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B3" d="M31 249Q11 249 11 258Q11 275 26 304T66 365T129 418T206 441Q233 441 239 440Q287 429 318 386T371 255Q385 195 385 170Q385 166 386 166L398 193Q418 244 443 300T486 391T508 430Q510 431 524 431H537Q543 425 543 422Q543 418 522 378T463 251T391 71Q385 55 378 6T357 -100Q341 -165 330 -190T303 -216Q286 -216 286 -188Q286 -138 340 32L346 51L347 69Q348 79 348 100Q348 257 291 317Q251 355 196 355Q148 355 108 329T51 260Q49 251 47 251Q45 249 31 249Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMATHI-3B1" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="918" y="0"></use>
<g transform="translate(1974,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(151,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
<g transform="translate(3553,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1091" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMATHI-78" x="259" y="676"></use>
<g transform="translate(60,-780)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="5107" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B7" x="6107" y="0"></use>
 <use xlink:href="#E1-MJMATHI-79" x="6611" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B2" x="8108" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="8960" y="0"></use>
<g transform="translate(10016,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(151,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
<g transform="translate(11595,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1091" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMATHI-79" x="296" y="725"></use>
<g transform="translate(60,-780)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="13149" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B7" x="14149" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="14653" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B3" x="16225" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="17047" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="18103" y="0"></use>
<g transform="translate(18881,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="637" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="68" y="676"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="60" y="-686"></use>
</g>
</g>
<g transform="translate(19759,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(127,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:49.56ex;height:6.176ex alt="{\displaystyle \alpha ={\frac {\partial \psi }{\partial z}}{\frac {x}{\varrho ^{2}}}-\eta y\quad \beta ={\frac {\ partial \psi }{\partial z}}{\frac {y}{\varrho ^{2}}}+\eta x\quad \gamma =-{\frac {1}{\varrho }}{\frac { \partial \psi }{\partial \varrho }}}" data-moz-translations-id=64></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>is if we assume that because of the symmetry around the</font> </font><i data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>z</font></font></i><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>-axis the sizes</font></font><span class=mwe-math-element data-moz-translations-id=1><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=2><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \eta ,\zeta ,\gamma }" data-moz-translations-id=3><semantics data-moz-translations-id=4>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=5>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=6>
|
||
<mi data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
η</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ζ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \eta ,\zeta ,\gamma }
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,PHN2ZyB4bWxuczp4bGluaz0iaHR0cDovL3d3dy53My5vcmcvMTk5OS94bGluayIgd2lkdGg9IjUuNTk1ZXgiIGhlaWdodD0iMi42NzZleCIgc3R5bGU9InZlcnRpY2FsLWFsaWduOiAtMC44MzhleDsiIHZpZXdCb3g9IjAgLTc5MS4zIDI0MDguOCAxMTUyLjEiIHJvbGU9ImltZyIgZm9jdXNhYmxlPSJmYWxzZSIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIiBhcmlhLWxhYmVsbGVkYnk9Ik1hdGhKYXgtU1ZHLTEtVGl0bGUiPgo8dGl0bGUgaWQ9Ik1hdGhKYXgtU1ZHLTEtVGl0bGUiPntcZGlzcGxheXN0eWxlIFxldGEgLFx6ZXRhICxcZ2FtbWEgfTwvdGl0bGU+CjxkZWZzIGFyaWEtaGlkZGVuPSJ0cnVlIj4KPHBhdGggc3Ryb2tlLXdpZHRoPSIxIiBpZD0iRTEtTUpNQVRISS0zQjciIGQ9Ik0yMSAyODdRMjIgMjkwIDIzIDI5NVQyOCAzMTdUMzggMzQ4VDUzIDM4MVQ3MyA0MTFUOTkgNDMzVDEzMiA0NDJRMTU2IDQ0MiAxNzUgNDM1VDIwNSA0MTdUMjIxIDM5NVQyMjkgMzc2TDIzMSAzNjlRMjMxIDM2NyAyMzIgMzY3TDI0MyAzNzhRMzA0IDQ0MiAzODIgNDQyUTQzNiA0NDIgNDY5IDQxNVQ1MDMgMzM2VjMyNlE1MDMgMzAyIDQzOSA1M1EzODEgLTE4MiAzNzcgLTE4OVEzNjQgLTIxNiAzMzIgLTIxNlEzMTkgLTIxNiAzMTAgLTIwOFQyOTkgLTE4NlEyOTkgLTE3NyAzNTggNTdMNDIwIDMwN1E0MjMgMzIyIDQyMyAzNDVRNDIzIDQwNCAzNzkgNDA0SDM3NFEyODggNDA0IDIyOSAzMDNMMjIyIDI5MUwxODkgMTU3UTE1NiAyNiAxNTEgMTZRMTM4IC0xMSAxMDggLTExUTk1IC0xMSA4NyAtNVQ3NiA3VDc0IDE3UTc0IDMwIDExNCAxODlUMTU0IDM2NlExNTQgNDA1IDEyOCA0MDVRMTA3IDQwNSA5MiAzNzdUNjggMzE2VDU3IDI4MFE1NSAyNzggNDEgMjc4SDI3UTIxIDI4NCAyMSAyODdaIj48L3BhdGg+CjxwYXRoIHN0cm9rZS13aWR0aD0iMSIgaWQ9IkUxLU1KTUFJTi0yQyIgZD0iTTc4IDM1VDc4IDYwVDk0IDEwM1QxMzcgMTIxUTE2NSAxMjEgMTg3IDk2VDIxMCA4UTIxMCAtMjcgMjAxIC02MFQxODAgLTExN1QxNTQgLTE1OFQxMzAgLTE4NVQxMTcgLTE5NFExMTMgLTE5NCAxMDQgLTE4NVQ5NSAtMTcyUTk1IC0xNjggMTA2IC0xNTZUMTMxIC0xMjZUMTU3IC03NlQxNzMgLTNWOUwxNzIgOFExNzAgNyAxNjcgNlQxNjEgM1QxNTIgMVQxNDAgMFExMTMgMCA5NiAxN1oiPjwvcGF0aD4KPHBhdGggc3Ryb2tlLXdpZHRoPSIxIiBpZD0iRTEtTUpNQVRISS0zQjYiIGQ9Ik0yOTYgNjQzUTI5OCA3MDQgMzI0IDcwNFEzNDIgNzA0IDM0MiA2ODdRMzQyIDY4MiAzMzkgNjY0VDMzNiA2MzNRMzM2IDYyMyAzMzcgNjE4VDMzOCA2MTFRMzM5IDYxMiAzNDEgNjEyUTM0MyA2MTQgMzU0IDYxNlQzNzQgNjE4TDM4NCA2MTlIMzk0UTQ3MSA2MTkgNDcxIDU4NlE0NjcgNTQ4IDM4NiA1NDZIMzcyUTMzOCA1NDYgMzIwIDU2NEwzMTEgNTU4UTIzNSA1MDYgMTc1IDM5OFQxMTQgMTkwUTExNCAxNzEgMTE2IDE1NVQxMjUgMTI3VDEzNyAxMDRUMTUzIDg2VDE3MSA3MlQxOTIgNjFUMjEzIDUzVDIzNSA0NlQyNTYgMzlMMzIyIDE2UTM4OSAtMTAgMzg5IC04MFEzODkgLTExOSAzNjQgLTE1NFQzMDAgLTIwMlEyOTIgLTIwNCAyNzQgLTIwNFEyNDcgLTIwNCAyMjUgLTE5NlEyMTAgLTE5MiAxOTMgLTE4MlQxNzIgLTE2N1ExNjcgLTE1OSAxNzMgLTE0OFExODAgLTEzOSAxOTEgLTEzOVExOTUgLTEzOSAyMjEgLTE1M1QyODMgLTE2OFEyOTggLTE2NiAzMTAgLTE1MlQzMjIgLTExN1EzMjIgLTkxIDMwMiAtNzVUMjUwIC01MVQxODMgLTI5VDExNiA0VDY1IDYyVDQ0IDE2MFE0NCAyODcgMTIxIDQxMFQyOTMgNTkwTDMwMiA1OTVRMjk2IDYxMyAyOTYgNjQzWiI+PC9wYXRoPgo8cGF0aCBzdHJva2Utd2lkdGg9IjEiIGlkPSJFMS1NSk1BVEhJLTNCMyIgZD0iTTMxIDI0OVExMSAyNDkgMTEgMjU4UTExIDI3NSAyNiAzMDRUNjYgMzY1VDEyOSA0MThUMjA2IDQ0MVEyMzMgNDQxIDIzOSA0NDBRMjg3IDQyOSAzMTggMzg2VDM3MSAyNTVRMzg1IDE5NSAzODUgMTcwUTM4NSAxNjYgMzg2IDE2NkwzOTggMTkzUTQxOCAyNDQgNDQzIDMwMFQ0ODYgMzkxVDUwOCA0MzBRNTEwIDQzMSA1MjQgNDMxSDUzN1E1NDMgNDI1IDU0MyA0MjJRNTQzIDQxOCA1MjIgMzc4VDQ2MyAyNTFUMzkxIDcxUTM4NSA1NSAzNzggNlQzNTcgLTEwMFEzNDEgLTE2NSAzMzAgLTE5MFQzMDMgLTIxNlEyODYgLTIxNiAyODYgLTE4OFEyODYgLTEzOCAzNDAgMzJMMzQ2IDUxTDM0NyA2OVEzNDggNzkgMzQ4IDEwMFEzNDggMjU3IDI5MSAzMTdRMjUxIDM1NSAxOTYgMzU1UTE0OCAzNTUgMTA4IDMyOVQ1MSAyNjBRNDkgMjUxIDQ3IDI1MVE0NSAyNDkgMzEgMjQ5WiI+PC9wYXRoPgo8L2RlZnM+CjxnIHN0cm9rZT0iY3VycmVudENvbG9yIiBmaWxsPSJjdXJyZW50Q29sb3IiIHN0cm9rZS13aWR0aD0iMCIgdHJhbnNmb3JtPSJtYXRyaXgoMSAwIDAgLTEgMCAwKSIgYXJpYS1oaWRkZW49InRydWUiPgogPHVzZSB4bGluazpocmVmPSIjRTEtTUpNQVRISS0zQjciIHg9IjAiIHk9IjAiPjwvdXNlPgogPHVzZSB4bGluazpocmVmPSIjRTEtTUpNQUlOLTJDIiB4PSI1MDMiIHk9IjAiPjwvdXNlPgogPHVzZSB4bGluazpocmVmPSIjRTEtTUpNQVRISS0zQjYiIHg9Ijk0OCIgeT0iMCI+PC91c2U+CiA8dXNlIHhsaW5rOmhyZWY9IiNFMS1NSk1BSU4tMkMiIHg9IjE0MjAiIHk9IjAiPjwvdXNlPgogPHVzZSB4bGluazpocmVmPSIjRTEtTUpNQVRISS0zQjMiIHg9IjE4NjUiIHk9IjAiPjwvdXNlPgo8L2c+Cjwvc3ZnPg==" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.838ex;width:5.595ex;height:2.676ex alt="{\displaystyle \eta ,\zeta ,\gamma }" data-moz-translations-id=13></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>independent of</font></font><span class=mwe-math-element data-moz-translations-id=14><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=15><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \vartheta }" data-moz-translations-id=16><semantics data-moz-translations-id=17>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=18>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=19>
|
||
<mi data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϑ</font></font>
|
||
</mi>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \vartheta }
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,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 class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.338ex;width:1.374ex;height:2.176ex alt="{\displaystyle \vartheta }" data-moz-translations-id=22></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>are.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>The differential equations derived by</font> </font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Helmholtz</font></font></span><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>, which express that the electromagnetic</font></font><span data-moz-translations-id=1><span class=pagenum id=iv title="Page: Translational movement of the light ether.djvu/4" data-moz-translations-id=2><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=3><font style=vertical-align:inherit data-moz-translations-id=4><font style=vertical-align:inherit data-moz-translations-id=5>[</font></font> <b data-moz-translations-id=6><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/4 title="Page: Translational movement of the light ether.djvu/4" data-moz-translations-id=7><font style=vertical-align:inherit data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9>iv</font></font></a></b> <font style=vertical-align:inherit data-moz-translations-id=10><font style=vertical-align:inherit data-moz-translations-id=11>]</font></font></span> </span></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Currents caused by tensions in turn produce electromagnetic forces that balance themselves with those acting from outside</font></font></p>
|
||
<table width=100%>
|
||
<tbody>
|
||
<tr>
|
||
<td valign=center style=text-align:left width=5%><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>(1)</font></font></td>
|
||
<td align=center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\begin{cases}0={\frac {\partial P}{\partial x}}+A\left[{\frac {\partial {\mathfrak {P}}}{\partial t}}+\beta \left({\frac {\partial {\mathfrak {P}}}{\partial y}}-{\frac {\partial {\mathfrak {Q}}}{\partial x}}\right)-\gamma \left({\frac {\partial {\mathfrak {R}}}{\partial x}}-{\frac {\partial {\mathfrak {P}}}{\partial z}}\right)\right]\\0={\frac {\partial P}{\partial y}}+A\left[{\frac {\partial {\mathfrak {Q}}}{\partial t}}+\gamma \left({\frac {\partial {\mathfrak {Q}}}{\partial z}}-{\frac {\partial {\mathfrak {R}}}{\partial y}}\right)-\alpha \left({\frac {\partial {\mathfrak {P}}}{\partial y}}-{\frac {\partial {\mathfrak {Q}}}{\partial x}}\right)\right]\\0={\frac {\partial P}{\partial z}}+A\left[{\frac {\partial {\mathfrak {R}}}{\partial t}}+\alpha \left({\frac {\partial {\mathfrak {R}}}{\partial x}}-{\frac {\partial {\mathfrak {P}}}{\partial z}}\right)-\beta \left({\frac {\partial {\mathfrak {Q}}}{\partial z}}-{\frac {\partial {\mathfrak {R}}}{\partial y}}\right)\right]\end{cases}}}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mrow data-moz-translations-id=7>
|
||
<mo data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{
|
||
</font></font></mo>
|
||
<mtable columnalign="left left" rowspacing=.2em columnspacing=1em displaystyle=false data-moz-translations-id=9>
|
||
<mtr data-moz-translations-id=10>
|
||
<mtd data-moz-translations-id=11>
|
||
<mn data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
0
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=14>
|
||
<mfrac data-moz-translations-id=15>
|
||
<mrow data-moz-translations-id=16>
|
||
<mi mathvariant=normal data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
P
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=19>
|
||
<mi mathvariant=normal data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow data-moz-translations-id=24>
|
||
<mo data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
[
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=26>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=27>
|
||
<mfrac data-moz-translations-id=28>
|
||
<mrow data-moz-translations-id=29>
|
||
<mi mathvariant=normal data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=31>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=32>
|
||
<mi mathvariant=fraktur data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
P
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=34>
|
||
<mi mathvariant=normal data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=38><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
β</font></font>
|
||
</mi>
|
||
<mrow data-moz-translations-id=39>
|
||
<mo data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=41>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=42>
|
||
<mfrac data-moz-translations-id=43>
|
||
<mrow data-moz-translations-id=44>
|
||
<mi mathvariant=normal data-moz-translations-id=45><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=46>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=47>
|
||
<mi mathvariant=fraktur data-moz-translations-id=48><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
P
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=49>
|
||
<mi mathvariant=normal data-moz-translations-id=50><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=51><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=52><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=53>
|
||
<mfrac data-moz-translations-id=54>
|
||
<mrow data-moz-translations-id=55>
|
||
<mi mathvariant=normal data-moz-translations-id=56><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=57>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=58>
|
||
<mi mathvariant=fraktur data-moz-translations-id=59><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
Q
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=60>
|
||
<mi mathvariant=normal data-moz-translations-id=61><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=62><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=63><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mo data-moz-translations-id=64><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=65><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
<mrow data-moz-translations-id=66>
|
||
<mo data-moz-translations-id=67><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=68>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=69>
|
||
<mfrac data-moz-translations-id=70>
|
||
<mrow data-moz-translations-id=71>
|
||
<mi mathvariant=normal data-moz-translations-id=72><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=73>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=74>
|
||
<mi mathvariant=fraktur data-moz-translations-id=75><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
R
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=76>
|
||
<mi mathvariant=normal data-moz-translations-id=77><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=78><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=79><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=80>
|
||
<mfrac data-moz-translations-id=81>
|
||
<mrow data-moz-translations-id=82>
|
||
<mi mathvariant=normal data-moz-translations-id=83><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=84>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=85>
|
||
<mi mathvariant=fraktur data-moz-translations-id=86><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
P
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=87>
|
||
<mi mathvariant=normal data-moz-translations-id=88><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=89><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=90><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=91><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
]
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=92>
|
||
<mtd data-moz-translations-id=93>
|
||
<mn data-moz-translations-id=94><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
0
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=95><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=96>
|
||
<mfrac data-moz-translations-id=97>
|
||
<mrow data-moz-translations-id=98>
|
||
<mi mathvariant=normal data-moz-translations-id=99><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=100><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
P
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=101>
|
||
<mi mathvariant=normal data-moz-translations-id=102><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=103><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=104><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=105><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow data-moz-translations-id=106>
|
||
<mo data-moz-translations-id=107><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
[
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=108>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=109>
|
||
<mfrac data-moz-translations-id=110>
|
||
<mrow data-moz-translations-id=111>
|
||
<mi mathvariant=normal data-moz-translations-id=112><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=113>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=114>
|
||
<mi mathvariant=fraktur data-moz-translations-id=115><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
Q
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=116>
|
||
<mi mathvariant=normal data-moz-translations-id=117><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=118><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=119><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=120><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
<mrow data-moz-translations-id=121>
|
||
<mo data-moz-translations-id=122><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=123>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=124>
|
||
<mfrac data-moz-translations-id=125>
|
||
<mrow data-moz-translations-id=126>
|
||
<mi mathvariant=normal data-moz-translations-id=127><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=128>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=129>
|
||
<mi mathvariant=fraktur data-moz-translations-id=130><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
Q
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=131>
|
||
<mi mathvariant=normal data-moz-translations-id=132><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=133><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=134><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=135>
|
||
<mfrac data-moz-translations-id=136>
|
||
<mrow data-moz-translations-id=137>
|
||
<mi mathvariant=normal data-moz-translations-id=138><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=139>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=140>
|
||
<mi mathvariant=fraktur data-moz-translations-id=141><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
R
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=142>
|
||
<mi mathvariant=normal data-moz-translations-id=143><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=144><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=145><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mo data-moz-translations-id=146><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=147><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
<mrow data-moz-translations-id=148>
|
||
<mo data-moz-translations-id=149><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=150>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=151>
|
||
<mfrac data-moz-translations-id=152>
|
||
<mrow data-moz-translations-id=153>
|
||
<mi mathvariant=normal data-moz-translations-id=154><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=155>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=156>
|
||
<mi mathvariant=fraktur data-moz-translations-id=157><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
P
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=158>
|
||
<mi mathvariant=normal data-moz-translations-id=159><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=160><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=161><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=162>
|
||
<mfrac data-moz-translations-id=163>
|
||
<mrow data-moz-translations-id=164>
|
||
<mi mathvariant=normal data-moz-translations-id=165><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=166>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=167>
|
||
<mi mathvariant=fraktur data-moz-translations-id=168><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
Q
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=169>
|
||
<mi mathvariant=normal data-moz-translations-id=170><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=171><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=172><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=173><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
]
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=174>
|
||
<mtd data-moz-translations-id=175>
|
||
<mn data-moz-translations-id=176><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
0
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=177><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=178>
|
||
<mfrac data-moz-translations-id=179>
|
||
<mrow data-moz-translations-id=180>
|
||
<mi mathvariant=normal data-moz-translations-id=181><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=182><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
P
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=183>
|
||
<mi mathvariant=normal data-moz-translations-id=184><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=185><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=186><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=187><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow data-moz-translations-id=188>
|
||
<mo data-moz-translations-id=189><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
[
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=190>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=191>
|
||
<mfrac data-moz-translations-id=192>
|
||
<mrow data-moz-translations-id=193>
|
||
<mi mathvariant=normal data-moz-translations-id=194><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=195>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=196>
|
||
<mi mathvariant=fraktur data-moz-translations-id=197><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
R
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=198>
|
||
<mi mathvariant=normal data-moz-translations-id=199><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=200><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=201><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=202><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
<mrow data-moz-translations-id=203>
|
||
<mo data-moz-translations-id=204><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=205>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=206>
|
||
<mfrac data-moz-translations-id=207>
|
||
<mrow data-moz-translations-id=208>
|
||
<mi mathvariant=normal data-moz-translations-id=209><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=210>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=211>
|
||
<mi mathvariant=fraktur data-moz-translations-id=212><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
R
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=213>
|
||
<mi mathvariant=normal data-moz-translations-id=214><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=215><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=216><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=217>
|
||
<mfrac data-moz-translations-id=218>
|
||
<mrow data-moz-translations-id=219>
|
||
<mi mathvariant=normal data-moz-translations-id=220><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=221>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=222>
|
||
<mi mathvariant=fraktur data-moz-translations-id=223><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
P
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=224>
|
||
<mi mathvariant=normal data-moz-translations-id=225><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=226><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=227><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mo data-moz-translations-id=228><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=229><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
β</font></font>
|
||
</mi>
|
||
<mrow data-moz-translations-id=230>
|
||
<mo data-moz-translations-id=231><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=232>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=233>
|
||
<mfrac data-moz-translations-id=234>
|
||
<mrow data-moz-translations-id=235>
|
||
<mi mathvariant=normal data-moz-translations-id=236><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=237>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=238>
|
||
<mi mathvariant=fraktur data-moz-translations-id=239><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
Q
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=240>
|
||
<mi mathvariant=normal data-moz-translations-id=241><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=242><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=243><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=244>
|
||
<mfrac data-moz-translations-id=245>
|
||
<mrow data-moz-translations-id=246>
|
||
<mi mathvariant=normal data-moz-translations-id=247><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=248>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=249>
|
||
<mi mathvariant=fraktur data-moz-translations-id=250><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
R
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=251>
|
||
<mi mathvariant=normal data-moz-translations-id=252><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=253><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=254><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=255><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
]
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mtd>
|
||
</mtr>
|
||
</mtable>
|
||
<mo fence=true stretchy=true symmetric=true data-moz-translations-id=256></mo>
|
||
</mrow>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=257><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\begin{cases}0={\frac {\partial P}{\partial x}}+A\left[{\frac {\partial {\mathfrak {P}}}{\partial t}} +\beta \left({\frac {\partial {\mathfrak {P}}}{\partial y}}-{\frac {\partial {\mathfrak {Q}}}{\partial x}}\right) -\gamma \left({\frac {\partial {\mathfrak {R}}}{\partial x}}-{\frac {\partial {\mathfrak {P}}}{\partial z}}\right) \right]\\0={\frac {\partial P}{\partial y}}+A\left[{\frac {\partial {\mathfrak {Q}}}{\partial t}}+\gamma \ left({\frac {\partial {\mathfrak {Q}}}{\partial z}}-{\frac {\partial {\mathfrak {R}}}{\partial y}}\right)-\alpha \ left({\frac {\partial {\mathfrak {P}}}{\partial y}}-{\frac {\partial {\mathfrak {Q}}}{\partial x}}\right)\right]\ \0={\frac {\partial P}{\partial z}}+A\left[{\frac {\partial {\mathfrak {R}}}{\partial t}}+\alpha \left({\ frac {\partial {\mathfrak {R}}}{\partial x}}-{\frac {\partial {\mathfrak {P}}}{\partial z}}\right)-\beta \left({\ frac {\partial {\mathfrak {Q}}}{\partial z}}-{\frac {\partial {\mathfrak {R}}}{\partial y}}\right)\right]\end{cases} }}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="53.395ex" height="13.843ex" style="vertical-align: -6.338ex;" viewBox="0 -3231.2 22989.4 5960" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\begin{cases}0={\frac {\partial P}{\partial x}}+A\left[{\frac {\partial {\mathfrak {P}}}{\partial t}}+\beta \left({\frac {\partial {\mathfrak {P}}}{\partial y}}-{\frac {\partial {\mathfrak {Q}}}{\partial x}}\right)-\gamma \left({\frac {\partial {\mathfrak {R}}}{\partial x}}-{\frac {\partial {\mathfrak {P}}}{\partial z}}\right)\right]\\0={\frac {\partial P}{\partial y}}+A\left[{\frac {\partial {\mathfrak {Q}}}{\partial t}}+\gamma \left({\frac {\partial {\mathfrak {Q}}}{\partial z}}-{\frac {\partial {\mathfrak {R}}}{\partial y}}\right)-\alpha \left({\frac {\partial {\mathfrak {P}}}{\partial y}}-{\frac {\partial {\mathfrak {Q}}}{\partial x}}\right)\right]\\0={\frac {\partial P}{\partial z}}+A\left[{\frac {\partial {\mathfrak {R}}}{\partial t}}+\alpha \left({\frac {\partial {\mathfrak {R}}}{\partial x}}-{\frac {\partial {\mathfrak {P}}}{\partial z}}\right)-\beta \left({\frac {\partial {\mathfrak {Q}}}{\partial z}}-{\frac {\partial {\mathfrak {R}}}{\partial y}}\right)\right]\end{cases}}}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-7B" d="M434 -231Q434 -244 428 -250H410Q281 -250 230 -184Q225 -177 222 -172T217 -161T213 -148T211 -133T210 -111T209 -84T209 -47T209 0Q209 21 209 53Q208 142 204 153Q203 154 203 155Q189 191 153 211T82 231Q71 231 68 234T65 250T68 266T82 269Q116 269 152 289T203 345Q208 356 208 377T209 529V579Q209 634 215 656T244 698Q270 724 324 740Q361 748 377 749Q379 749 390 749T408 750H428Q434 744 434 732Q434 719 431 716Q429 713 415 713Q362 710 332 689T296 647Q291 634 291 499V417Q291 370 288 353T271 314Q240 271 184 255L170 250L184 245Q202 239 220 230T262 196T290 137Q291 131 291 1Q291 -134 296 -147Q306 -174 339 -192T415 -213Q429 -213 431 -216Q434 -219 434 -231Z"></path>
<path stroke-width="1" id="E1-MJMAIN-30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMATHI-50" d="M287 628Q287 635 230 637Q206 637 199 638T192 648Q192 649 194 659Q200 679 203 681T397 683Q587 682 600 680Q664 669 707 631T751 530Q751 453 685 389Q616 321 507 303Q500 302 402 301H307L277 182Q247 66 247 59Q247 55 248 54T255 50T272 48T305 46H336Q342 37 342 35Q342 19 335 5Q330 0 319 0Q316 0 282 1T182 2Q120 2 87 2T51 1Q33 1 33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM645 554Q645 567 643 575T634 597T609 619T560 635Q553 636 480 637Q463 637 445 637T416 636T404 636Q391 635 386 627Q384 621 367 550T332 412T314 344Q314 342 395 342H407H430Q542 342 590 392Q617 419 631 471T645 554Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMAIN-5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path>
<path stroke-width="1" id="E1-MJFRAK-50" d="M112 339Q112 354 91 380T49 438T28 497Q28 565 95 628T242 692Q261 692 277 689T307 682T331 670T351 655T367 637T379 619T388 600T395 582T401 565T405 550Q409 554 422 570T453 603T500 641Q573 692 637 692Q656 692 670 686T692 672T705 647T713 618T718 584Q720 568 721 562T728 546T742 534T768 530Q776 531 782 532T791 535T796 536Q799 536 804 521Q801 519 789 513T764 499T738 480Q697 447 680 414Q677 407 677 396Q677 370 713 312T750 210Q750 125 686 57T560 -11Q540 -11 475 13L410 37V31Q410 -9 412 -50T417 -118T420 -150Q419 -150 373 -184T326 -218L305 -208Q305 -207 307 -196T314 -165T322 -116T328 -46T331 43V63L318 66Q270 80 250 80Q233 80 213 70Q183 57 138 -3L128 -16L118 5L125 20Q193 154 282 154Q309 154 331 146V287Q331 444 327 469Q321 522 301 560Q284 590 251 611T184 633Q146 633 119 607T92 550Q92 539 94 534Q100 516 143 460T186 386Q186 366 170 336T119 281Q102 264 70 250L49 260L56 266Q64 271 72 278T90 296T106 317T112 339ZM602 345Q602 357 608 371T622 397T642 421T661 441T678 456L686 462Q663 473 652 486T639 512T634 553Q631 594 624 608T593 631Q587 632 567 632Q539 632 497 600T416 497L410 484V122L467 103Q481 99 502 92T533 82T557 75T578 69T594 66T610 64Q647 64 672 87T697 144Q697 180 650 250T602 345Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B2" d="M29 -194Q23 -188 23 -186Q23 -183 102 134T186 465Q208 533 243 584T309 658Q365 705 429 705H431Q493 705 533 667T573 570Q573 465 469 396L482 383Q533 332 533 252Q533 139 448 65T257 -10Q227 -10 203 -2T165 17T143 40T131 59T126 65L62 -188Q60 -194 42 -194H29ZM353 431Q392 431 427 419L432 422Q436 426 439 429T449 439T461 453T472 471T484 495T493 524T501 560Q503 569 503 593Q503 611 502 616Q487 667 426 667Q384 667 347 643T286 582T247 514T224 455Q219 439 186 308T152 168Q151 163 151 147Q151 99 173 68Q204 26 260 26Q302 26 349 51T425 137Q441 171 449 214T457 279Q457 337 422 372Q380 358 347 358H337Q258 358 258 389Q258 396 261 403Q275 431 353 431Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-79" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJFRAK-51" d="M428 596Q412 596 386 595T350 593Q313 593 291 605T268 638Q268 644 269 648T274 658T284 669T301 689T326 718L336 729H343Q351 729 351 728Q342 710 342 703Q342 683 382 676T493 662T604 643Q744 592 744 398Q744 299 708 213T646 104L603 68L614 55Q670 -5 710 -5Q726 -5 744 1T772 14L781 20Q782 20 782 7V-6L771 -13Q673 -69 665 -69L647 -63Q552 -30 514 8H512Q509 8 500 3T471 -9T428 -23Q405 -27 377 -27Q305 -24 228 6T124 36Q69 36 27 -16Q23 -13 19 -8L11 0L27 20Q93 102 109 109Q145 123 166 150T187 207Q187 244 134 318T80 412Q80 454 112 498T176 566T213 590Q216 590 224 585L234 580L225 573Q216 566 207 557T188 536T172 511T165 484Q165 448 213 368T261 259Q261 241 252 219T228 179T200 146T176 122L167 112Q170 111 174 111Q188 110 233 91T339 55T453 37Q508 37 556 68T626 152Q655 219 655 328Q655 543 532 582Q484 596 428 596Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ2-28" d="M180 96T180 250T205 541T266 770T353 944T444 1069T527 1150H555Q561 1144 561 1141Q561 1137 545 1120T504 1072T447 995T386 878T330 721T288 513T272 251Q272 133 280 56Q293 -87 326 -209T399 -405T475 -531T536 -609T561 -640Q561 -643 555 -649H527Q483 -612 443 -568T353 -443T266 -270T205 -41Z"></path>
<path stroke-width="1" id="E1-MJSZ2-29" d="M35 1138Q35 1150 51 1150H56H69Q113 1113 153 1069T243 944T330 771T391 541T416 250T391 -40T330 -270T243 -443T152 -568T69 -649H56Q43 -649 39 -647T35 -637Q65 -607 110 -548Q283 -316 316 56Q324 133 324 251Q324 368 316 445Q278 877 48 1123Q36 1137 35 1138Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B3" d="M31 249Q11 249 11 258Q11 275 26 304T66 365T129 418T206 441Q233 441 239 440Q287 429 318 386T371 255Q385 195 385 170Q385 166 386 166L398 193Q418 244 443 300T486 391T508 430Q510 431 524 431H537Q543 425 543 422Q543 418 522 378T463 251T391 71Q385 55 378 6T357 -100Q341 -165 330 -190T303 -216Q286 -216 286 -188Q286 -138 340 32L346 51L347 69Q348 79 348 100Q348 257 291 317Q251 355 196 355Q148 355 108 329T51 260Q49 251 47 251Q45 249 31 249Z"></path>
<path stroke-width="1" id="E1-MJFRAK-52" d="M27 496Q31 569 102 627T234 685Q236 685 241 685T251 686Q287 686 318 672T367 638T399 598T418 564L423 550Q424 554 434 567T463 601T505 639T561 671T626 685Q672 685 688 659T710 572Q713 533 721 523T766 513Q781 513 787 514T794 516Q796 512 798 509T801 504T802 501T787 493Q702 461 624 401L607 389Q655 383 688 358L697 352V342Q699 330 699 297Q704 209 710 173T734 103Q751 69 765 69Q769 69 806 83L824 90V74Q823 73 759 24T693 -26Q692 -26 660 32L628 90L629 111Q631 159 631 177Q631 278 614 300Q584 340 523 340Q500 340 467 333T431 325Q429 325 429 322Q428 321 426 308T420 275T410 230T392 178T366 125L358 112L342 99Q306 70 269 38T213 -10T193 -26Q192 -26 163 0T116 26Q82 26 50 -8L42 -16L35 -8L27 0L35 10Q43 21 58 38T104 80T158 106Q179 106 218 65L235 48Q238 48 255 60T295 99T329 158Q352 231 352 359Q352 555 242 614Q210 628 187 628Q140 628 116 600T91 548Q91 522 138 464T185 382V376Q185 345 158 313T103 263L76 246Q74 244 64 253L54 260L65 267Q91 285 100 302Q111 318 111 337Q111 355 69 410T27 496ZM562 628Q504 628 443 507L435 491L436 479Q437 471 437 446Q437 396 432 351L529 389L602 426Q673 462 673 463H672Q644 470 637 483T622 553Q608 628 562 628Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path>
<path stroke-width="1" id="E1-MJSZ2-5B" d="M224 -649V1150H455V1099H275V-598H455V-649H224Z"></path>
<path stroke-width="1" id="E1-MJSZ2-5D" d="M16 1099V1150H247V-649H16V-598H196V1099H16Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B1" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path>
<path stroke-width="1" id="E1-MJSZ4-23A7" d="M712 899L718 893V876V865Q718 854 704 846Q627 793 577 710T510 525Q510 524 509 521Q505 493 504 349Q504 345 504 334Q504 277 504 240Q504 -2 503 -4Q502 -8 494 -9T444 -10Q392 -10 390 -9Q387 -8 386 -5Q384 5 384 230Q384 262 384 312T383 382Q383 481 392 535T434 656Q510 806 664 892L677 899H712Z"></path>
<path stroke-width="1" id="E1-MJSZ4-23A9" d="M718 -893L712 -899H677L666 -893Q542 -825 468 -714T385 -476Q384 -466 384 -282Q384 3 385 5L389 9Q392 10 444 10Q486 10 494 9T503 4Q504 2 504 -239V-310V-366Q504 -470 508 -513T530 -609Q546 -657 569 -698T617 -767T661 -812T699 -843T717 -856T718 -876V-893Z"></path>
<path stroke-width="1" id="E1-MJSZ4-23A8" d="M389 1159Q391 1160 455 1160Q496 1160 498 1159Q501 1158 502 1155Q504 1145 504 924Q504 691 503 682Q494 549 425 439T243 259L229 250L243 241Q349 175 421 66T503 -182Q504 -191 504 -424Q504 -600 504 -629T499 -659H498Q496 -660 444 -660T390 -659Q387 -658 386 -655Q384 -645 384 -425V-282Q384 -176 377 -116T342 10Q325 54 301 92T255 155T214 196T183 222T171 232Q170 233 170 250T171 268Q171 269 191 284T240 331T300 407T354 524T383 679Q384 691 384 925Q384 1152 385 1155L389 1159Z"></path>
<path stroke-width="1" id="E1-MJSZ4-23AA" d="M384 150V266Q384 304 389 309Q391 310 455 310Q496 310 498 309Q502 308 503 298Q504 283 504 150Q504 32 504 12T499 -9H498Q496 -10 444 -10T390 -9Q386 -8 385 2Q384 17 384 150Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
<g transform="translate(0,3151)">
 <use xlink:href="#E1-MJSZ4-23A7" x="0" y="-900"></use>
<g transform="translate(0,-2000.2065217391305) scale(1,3.6630434782608696)">
 <use xlink:href="#E1-MJSZ4-23AA"></use>
</g>
 <use xlink:href="#E1-MJSZ4-23A8" x="0" y="-3152"></use>
<g transform="translate(0,-4901.70652173913) scale(1,3.6630434782608696)">
 <use xlink:href="#E1-MJSZ4-23AA"></use>
</g>
 <use xlink:href="#E1-MJSZ4-23A9" x="0" y="-4903"></use>
</g>
<g transform="translate(1056,0)">
<g transform="translate(-11,0)">
<g transform="translate(0,2001)">
 <use xlink:href="#E1-MJMAIN-30" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="778" y="0"></use>
<g transform="translate(1834,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1052" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-50" x="567" y="0"></use>
</g>
<g transform="translate(123,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="3349" y="0"></use>
 <use xlink:href="#E1-MJMATHI-41" x="4350" y="0"></use>
<g transform="translate(5267,0)">
 <use xlink:href="#E1-MJSZ2-5B"></use>
<g transform="translate(472,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1107" height="60" x="0" y="220"></rect>
<g transform="translate(60,599)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJFRAK-50" x="567" y="0"></use>
</g>
<g transform="translate(225,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="567" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="1569" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B2" x="2570" y="0"></use>
<g transform="translate(3310,0)">
 <use xlink:href="#E1-MJSZ2-28"></use>
<g transform="translate(597,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1107" height="60" x="0" y="220"></rect>
<g transform="translate(60,599)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJFRAK-50" x="567" y="0"></use>
</g>
<g transform="translate(177,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-79" x="567" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="1569" y="0"></use>
<g transform="translate(2570,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1106" height="60" x="0" y="220"></rect>
<g transform="translate(60,494)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJFRAK-51" x="567" y="0"></use>
</g>
<g transform="translate(150,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ2-29" x="4513" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="8643" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B3" x="9644" y="0"></use>
<g transform="translate(10354,0)">
 <use xlink:href="#E1-MJSZ2-28"></use>
<g transform="translate(597,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1107" height="60" x="0" y="220"></rect>
<g transform="translate(60,463)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJFRAK-52" x="567" y="0"></use>
</g>
<g transform="translate(150,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="1569" y="0"></use>
<g transform="translate(2570,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1107" height="60" x="0" y="220"></rect>
<g transform="translate(60,599)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJFRAK-50" x="567" y="0"></use>
</g>
<g transform="translate(187,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ2-29" x="4514" y="-1"></use>
</g>
</g>
 <use xlink:href="#E1-MJSZ2-5D" x="15939" y="-1"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-30" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="778" y="0"></use>
<g transform="translate(1834,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1052" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-50" x="567" y="0"></use>
</g>
<g transform="translate(149,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-79" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="3349" y="0"></use>
 <use xlink:href="#E1-MJMATHI-41" x="4350" y="0"></use>
<g transform="translate(5267,0)">
 <use xlink:href="#E1-MJSZ2-5B"></use>
<g transform="translate(472,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1106" height="60" x="0" y="220"></rect>
<g transform="translate(60,494)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJFRAK-51" x="567" y="0"></use>
</g>
<g transform="translate(224,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="567" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="1568" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B3" x="2569" y="0"></use>
<g transform="translate(3279,0)">
 <use xlink:href="#E1-MJSZ2-28"></use>
<g transform="translate(597,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1106" height="60" x="0" y="220"></rect>
<g transform="translate(60,494)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJFRAK-51" x="567" y="0"></use>
</g>
<g transform="translate(186,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="1568" y="0"></use>
<g transform="translate(2569,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1107" height="60" x="0" y="220"></rect>
<g transform="translate(60,463)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJFRAK-52" x="567" y="0"></use>
</g>
<g transform="translate(177,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-79" x="567" y="0"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ2-29" x="4513" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="8613" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B1" x="9613" y="0"></use>
<g transform="translate(10421,0)">
 <use xlink:href="#E1-MJSZ2-28"></use>
<g transform="translate(597,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1107" height="60" x="0" y="220"></rect>
<g transform="translate(60,599)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJFRAK-50" x="567" y="0"></use>
</g>
<g transform="translate(177,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-79" x="567" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="1569" y="0"></use>
<g transform="translate(2570,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1106" height="60" x="0" y="220"></rect>
<g transform="translate(60,494)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJFRAK-51" x="567" y="0"></use>
</g>
<g transform="translate(150,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ2-29" x="4513" y="-1"></use>
</g>
</g>
 <use xlink:href="#E1-MJSZ2-5D" x="16005" y="-1"></use>
</g>
<g transform="translate(0,-2001)">
 <use xlink:href="#E1-MJMAIN-30" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="778" y="0"></use>
<g transform="translate(1834,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1052" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-50" x="567" y="0"></use>
</g>
<g transform="translate(160,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="3349" y="0"></use>
 <use xlink:href="#E1-MJMATHI-41" x="4350" y="0"></use>
<g transform="translate(5267,0)">
 <use xlink:href="#E1-MJSZ2-5B"></use>
<g transform="translate(472,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1107" height="60" x="0" y="220"></rect>
<g transform="translate(60,463)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJFRAK-52" x="567" y="0"></use>
</g>
<g transform="translate(225,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="567" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="1569" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B1" x="2570" y="0"></use>
<g transform="translate(3377,0)">
 <use xlink:href="#E1-MJSZ2-28"></use>
<g transform="translate(597,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1107" height="60" x="0" y="220"></rect>
<g transform="translate(60,463)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJFRAK-52" x="567" y="0"></use>
</g>
<g transform="translate(150,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="1569" y="0"></use>
<g transform="translate(2570,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1107" height="60" x="0" y="220"></rect>
<g transform="translate(60,599)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJFRAK-50" x="567" y="0"></use>
</g>
<g transform="translate(187,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ2-29" x="4514" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="8711" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B2" x="9712" y="0"></use>
<g transform="translate(10452,0)">
 <use xlink:href="#E1-MJSZ2-28"></use>
<g transform="translate(597,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1106" height="60" x="0" y="220"></rect>
<g transform="translate(60,494)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJFRAK-51" x="567" y="0"></use>
</g>
<g transform="translate(186,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="1568" y="0"></use>
<g transform="translate(2569,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1107" height="60" x="0" y="220"></rect>
<g transform="translate(60,463)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJFRAK-52" x="567" y="0"></use>
</g>
<g transform="translate(177,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-79" x="567" y="0"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ2-29" x="4513" y="-1"></use>
</g>
</g>
 <use xlink:href="#E1-MJSZ2-5D" x="16036" y="-1"></use>
</g>
</g>
</g>
</g>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-6.338ex;width:53.395ex;height:13.843ex alt="{\displaystyle {\begin{cases}0={\frac {\partial P}{\partial x}}+A\left[{\frac {\partial {\mathfrak {P}}}{\partial t}} +\beta \left({\frac {\partial {\mathfrak {P}}}{\partial y}}-{\frac {\partial {\mathfrak {Q}}}{\partial x}}\right) -\gamma \left({\frac {\partial {\mathfrak {R}}}{\partial x}}-{\frac {\partial {\mathfrak {P}}}{\partial z}}\right) \right]\\0={\frac {\partial P}{\partial y}}+A\left[{\frac {\partial {\mathfrak {Q}}}{\partial t}}+\gamma \ left({\frac {\partial {\mathfrak {Q}}}{\partial z}}-{\frac {\partial {\mathfrak {R}}}{\partial y}}\right)-\alpha \ left({\frac {\partial {\mathfrak {P}}}{\partial y}}-{\frac {\partial {\mathfrak {Q}}}{\partial x}}\right)\right]\ \0={\frac {\partial P}{\partial z}}+A\left[{\frac {\partial {\mathfrak {R}}}{\partial t}}+\alpha \left({\ frac {\partial {\mathfrak {R}}}{\partial x}}-{\frac {\partial {\mathfrak {P}}}{\partial z}}\right)-\beta \left({\ frac {\partial {\mathfrak {Q}}}{\partial z}}-{\frac {\partial {\mathfrak {R}}}{\partial y}}\right)\right]\end{cases} }}" data-moz-translations-id=258></span></td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Here</font> </font><i data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>P</font></font></i><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>means the hydrostatic pressure.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Let us put the above values of into these equations</font></font><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\mathfrak {P,\ Q,\ R,}}\alpha ,\beta ,\gamma }" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=7>
|
||
<mi mathvariant=fraktur data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
P
|
||
</font></font></mi>
|
||
<mo mathvariant=fraktur data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
<mtext mathvariant=fraktur data-moz-translations-id=10>
|
||
|
||
</mtext>
|
||
<mi mathvariant=fraktur data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
Q
|
||
</font></font></mi>
|
||
<mo mathvariant=fraktur data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
<mtext mathvariant=fraktur data-moz-translations-id=13>
|
||
|
||
</mtext>
|
||
<mi mathvariant=fraktur data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
R
|
||
</font></font></mi>
|
||
<mo mathvariant=fraktur data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mrow>
|
||
<mi data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
β</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\mathfrak {P,\Q,\R,}}\alpha ,\beta ,\gamma }
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="15.796ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 6801.2 1223.9" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\mathfrak {P,\ Q,\ R,}}\alpha ,\beta ,\gamma }</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJFRAK-50" d="M112 339Q112 354 91 380T49 438T28 497Q28 565 95 628T242 692Q261 692 277 689T307 682T331 670T351 655T367 637T379 619T388 600T395 582T401 565T405 550Q409 554 422 570T453 603T500 641Q573 692 637 692Q656 692 670 686T692 672T705 647T713 618T718 584Q720 568 721 562T728 546T742 534T768 530Q776 531 782 532T791 535T796 536Q799 536 804 521Q801 519 789 513T764 499T738 480Q697 447 680 414Q677 407 677 396Q677 370 713 312T750 210Q750 125 686 57T560 -11Q540 -11 475 13L410 37V31Q410 -9 412 -50T417 -118T420 -150Q419 -150 373 -184T326 -218L305 -208Q305 -207 307 -196T314 -165T322 -116T328 -46T331 43V63L318 66Q270 80 250 80Q233 80 213 70Q183 57 138 -3L128 -16L118 5L125 20Q193 154 282 154Q309 154 331 146V287Q331 444 327 469Q321 522 301 560Q284 590 251 611T184 633Q146 633 119 607T92 550Q92 539 94 534Q100 516 143 460T186 386Q186 366 170 336T119 281Q102 264 70 250L49 260L56 266Q64 271 72 278T90 296T106 317T112 339ZM602 345Q602 357 608 371T622 397T642 421T661 441T678 456L686 462Q663 473 652 486T639 512T634 553Q631 594 624 608T593 631Q587 632 567 632Q539 632 497 600T416 497L410 484V122L467 103Q481 99 502 92T533 82T557 75T578 69T594 66T610 64Q647 64 672 87T697 144Q697 180 650 250T602 345Z"></path>
<path stroke-width="1" id="E1-MJFRAK-2C" d="M99 62Q99 82 114 94T144 107Q159 107 178 77T205 26Q213 5 213 -23Q213 -49 207 -65T181 -113Q128 -189 122 -191Q121 -191 116 -184T111 -174Q111 -173 122 -155T145 -111T156 -62Q156 -44 152 -34T127 4L104 37Q99 49 99 62Z"></path>
<path stroke-width="1" id="E1-MJFRAK-51" d="M428 596Q412 596 386 595T350 593Q313 593 291 605T268 638Q268 644 269 648T274 658T284 669T301 689T326 718L336 729H343Q351 729 351 728Q342 710 342 703Q342 683 382 676T493 662T604 643Q744 592 744 398Q744 299 708 213T646 104L603 68L614 55Q670 -5 710 -5Q726 -5 744 1T772 14L781 20Q782 20 782 7V-6L771 -13Q673 -69 665 -69L647 -63Q552 -30 514 8H512Q509 8 500 3T471 -9T428 -23Q405 -27 377 -27Q305 -24 228 6T124 36Q69 36 27 -16Q23 -13 19 -8L11 0L27 20Q93 102 109 109Q145 123 166 150T187 207Q187 244 134 318T80 412Q80 454 112 498T176 566T213 590Q216 590 224 585L234 580L225 573Q216 566 207 557T188 536T172 511T165 484Q165 448 213 368T261 259Q261 241 252 219T228 179T200 146T176 122L167 112Q170 111 174 111Q188 110 233 91T339 55T453 37Q508 37 556 68T626 152Q655 219 655 328Q655 543 532 582Q484 596 428 596Z"></path>
<path stroke-width="1" id="E1-MJFRAK-52" d="M27 496Q31 569 102 627T234 685Q236 685 241 685T251 686Q287 686 318 672T367 638T399 598T418 564L423 550Q424 554 434 567T463 601T505 639T561 671T626 685Q672 685 688 659T710 572Q713 533 721 523T766 513Q781 513 787 514T794 516Q796 512 798 509T801 504T802 501T787 493Q702 461 624 401L607 389Q655 383 688 358L697 352V342Q699 330 699 297Q704 209 710 173T734 103Q751 69 765 69Q769 69 806 83L824 90V74Q823 73 759 24T693 -26Q692 -26 660 32L628 90L629 111Q631 159 631 177Q631 278 614 300Q584 340 523 340Q500 340 467 333T431 325Q429 325 429 322Q428 321 426 308T420 275T410 230T392 178T366 125L358 112L342 99Q306 70 269 38T213 -10T193 -26Q192 -26 163 0T116 26Q82 26 50 -8L42 -16L35 -8L27 0L35 10Q43 21 58 38T104 80T158 106Q179 106 218 65L235 48Q238 48 255 60T295 99T329 158Q352 231 352 359Q352 555 242 614Q210 628 187 628Q140 628 116 600T91 548Q91 522 138 464T185 382V376Q185 345 158 313T103 263L76 246Q74 244 64 253L54 260L65 267Q91 285 100 302Q111 318 111 337Q111 355 69 410T27 496ZM562 628Q504 628 443 507L435 491L436 479Q437 471 437 446Q437 396 432 351L529 389L602 426Q673 462 673 463H672Q644 470 637 483T622 553Q608 628 562 628Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B1" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B2" d="M29 -194Q23 -188 23 -186Q23 -183 102 134T186 465Q208 533 243 584T309 658Q365 705 429 705H431Q493 705 533 667T573 570Q573 465 469 396L482 383Q533 332 533 252Q533 139 448 65T257 -10Q227 -10 203 -2T165 17T143 40T131 59T126 65L62 -188Q60 -194 42 -194H29ZM353 431Q392 431 427 419L432 422Q436 426 439 429T449 439T461 453T472 471T484 495T493 524T501 560Q503 569 503 593Q503 611 502 616Q487 667 426 667Q384 667 347 643T286 582T247 514T224 455Q219 439 186 308T152 168Q151 163 151 147Q151 99 173 68Q204 26 260 26Q302 26 349 51T425 137Q441 171 449 214T457 279Q457 337 422 372Q380 358 347 358H337Q258 358 258 389Q258 396 261 403Q275 431 353 431Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B3" d="M31 249Q11 249 11 258Q11 275 26 304T66 365T129 418T206 441Q233 441 239 440Q287 429 318 386T371 255Q385 195 385 170Q385 166 386 166L398 193Q418 244 443 300T486 391T508 430Q510 431 524 431H537Q543 425 543 422Q543 418 522 378T463 251T391 71Q385 55 378 6T357 -100Q341 -165 330 -190T303 -216Q286 -216 286 -188Q286 -138 340 32L346 51L347 69Q348 79 348 100Q348 257 291 317Q251 355 196 355Q148 355 108 329T51 260Q49 251 47 251Q45 249 31 249Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJFRAK-50" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-2C" x="828" y="0"></use>
 <use xlink:href="#E1-MJFRAK-51" x="1523" y="0"></use>
 <use xlink:href="#E1-MJFRAK-2C" x="2351" y="0"></use>
 <use xlink:href="#E1-MJFRAK-52" x="3046" y="0"></use>
 <use xlink:href="#E1-MJFRAK-2C" x="3874" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B1" x="4153" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2C" x="4793" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B2" x="5239" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2C" x="5812" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B3" x="6257" y="0"></use>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.838ex;width:15.796ex;height:2.843ex alt="{\displaystyle {\mathfrak {P,\Q,\R,}}\alpha ,\beta ,\gamma }" data-moz-translations-id=22></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>one, so we get</font></font></p>
|
||
<table width=100%>
|
||
<tbody>
|
||
<tr>
|
||
<td valign=center style=text-align:left width=5%></td>
|
||
<td align=center><span class=mwe-math-element><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=0><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle 0={\frac {\partial P}{\partial \varrho }}+\varrho A^{2}a^{2}\left({\frac {3\varrho ^{2}}{r^{8}}}-{\frac {2}{r^{6}}}-{\frac {6zt}{r^{8}}}{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }}\right),}" data-moz-translations-id=1><semantics data-moz-translations-id=2>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=3>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=4>
|
||
<mn data-moz-translations-id=5><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
0
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=7>
|
||
<mfrac data-moz-translations-id=8>
|
||
<mrow data-moz-translations-id=9>
|
||
<mi mathvariant=normal data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
P
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=12>
|
||
<mi mathvariant=normal data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<msup data-moz-translations-id=17>
|
||
<mi data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=19>
|
||
<mn data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=21>
|
||
<mi data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
a
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=23>
|
||
<mn data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mrow data-moz-translations-id=25>
|
||
<mo data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=27>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=28>
|
||
<mfrac data-moz-translations-id=29>
|
||
<mrow data-moz-translations-id=30>
|
||
<mn data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
3
|
||
</font></font></mn>
|
||
<msup data-moz-translations-id=32>
|
||
<mi data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=34>
|
||
<mn data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
<msup data-moz-translations-id=36>
|
||
<mi data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=38>
|
||
<mn data-moz-translations-id=39><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
8th
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=41>
|
||
<mfrac data-moz-translations-id=42>
|
||
<mn data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
<msup data-moz-translations-id=44>
|
||
<mi data-moz-translations-id=45><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=46>
|
||
<mn data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
6
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=48><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=49>
|
||
<mfrac data-moz-translations-id=50>
|
||
<mrow data-moz-translations-id=51>
|
||
<mn data-moz-translations-id=52><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
6
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=53><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=54><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
<msup data-moz-translations-id=55>
|
||
<mi data-moz-translations-id=56><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=57>
|
||
<mn data-moz-translations-id=58><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
8th
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=59>
|
||
<mfrac data-moz-translations-id=60>
|
||
<mn data-moz-translations-id=61><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=62><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=63>
|
||
<mfrac data-moz-translations-id=64>
|
||
<mrow data-moz-translations-id=65>
|
||
<mi mathvariant=normal data-moz-translations-id=66><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=67><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=68>
|
||
<mi mathvariant=normal data-moz-translations-id=69><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=70><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=71><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mo data-moz-translations-id=72><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=73><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle 0={\frac {\partial P}{\partial \varrho }}+\varrho A^{2}a^{2}\left({\frac {3\varrho ^{2}}{r ^{8}}}-{\frac {2}{r^{6}}}-{\frac {6zt}{r^{8}}}{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }}\right),}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="44.633ex" height="6.343ex" style="vertical-align: -2.505ex;" viewBox="0 -1652.5 19216.8 2730.8" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle 0={\frac {\partial P}{\partial \varrho }}+\varrho A^{2}a^{2}\left({\frac {3\varrho ^{2}}{r^{8}}}-{\frac {2}{r^{6}}}-{\frac {6zt}{r^{8}}}{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }}\right),}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMATHI-50" d="M287 628Q287 635 230 637Q206 637 199 638T192 648Q192 649 194 659Q200 679 203 681T397 683Q587 682 600 680Q664 669 707 631T751 530Q751 453 685 389Q616 321 507 303Q500 302 402 301H307L277 182Q247 66 247 59Q247 55 248 54T255 50T272 48T305 46H336Q342 37 342 35Q342 19 335 5Q330 0 319 0Q316 0 282 1T182 2Q120 2 87 2T51 1Q33 1 33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM645 554Q645 567 643 575T634 597T609 619T560 635Q553 636 480 637Q463 637 445 637T416 636T404 636Q391 635 386 627Q384 621 367 550T332 412T314 344Q314 342 395 342H407H430Q542 342 590 392Q617 419 631 471T645 554Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-61" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path>
<path stroke-width="1" id="E1-MJMATHI-72" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C8" d="M161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMAIN-30" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="778" y="0"></use>
<g transform="translate(1834,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1439" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-50" x="567" y="0"></use>
</g>
<g transform="translate(177,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="3735" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="4736" y="0"></use>
<g transform="translate(5254,0)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1061" y="583"></use>
</g>
<g transform="translate(6458,0)">
 <use xlink:href="#E1-MJMATHI-61" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="748" y="583"></use>
</g>
<g transform="translate(7608,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1591" height="60" x="0" y="220"></rect>
<g transform="translate(60,714)">
 <use xlink:href="#E1-MJMAIN-33" x="0" y="0"></use>
<g transform="translate(500,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="513"></use>
</g>
</g>
<g transform="translate(343,-780)">
 <use xlink:href="#E1-MJMATHI-72" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-38" x="638" y="408"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="2054" y="0"></use>
<g transform="translate(3054,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1025" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-32" x="262" y="676"></use>
<g transform="translate(60,-780)">
 <use xlink:href="#E1-MJMATHI-72" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-36" x="638" y="408"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="4542" y="0"></use>
<g transform="translate(5543,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1450" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-36" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="500" y="0"></use>
 <use xlink:href="#E1-MJMATHI-74" x="969" y="0"></use>
</g>
<g transform="translate(272,-780)">
 <use xlink:href="#E1-MJMATHI-72" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-38" x="638" y="408"></use>
</g>
</g>
</g>
<g transform="translate(7233,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="637" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="68" y="676"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="60" y="-686"></use>
</g>
</g>
<g transform="translate(8111,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(127,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="10426" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="18938" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:44.633ex;height:6.343ex alt="{\displaystyle 0={\frac {\partial P}{\partial \varrho }}+\varrho A^{2}a^{2}\left({\frac {3\varrho ^{2}}{r ^{8}}}-{\frac {2}{r^{6}}}-{\frac {6zt}{r^{8}}}{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }}\right),}" data-moz-translations-id=74></span> <p><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle 0={\frac {\partial P}{\partial z}}+zA^{2}a^{2}\left({\frac {3\varrho ^{2}}{r^{8}}}-{\frac {6t}{r^{8}}}-{\frac {\partial \psi }{\partial z}}\right).}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mn data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
0
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=8>
|
||
<mfrac data-moz-translations-id=9>
|
||
<mrow data-moz-translations-id=10>
|
||
<mi mathvariant=normal data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
P
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=13>
|
||
<mi mathvariant=normal data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<msup data-moz-translations-id=18>
|
||
<mi data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=20>
|
||
<mn data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=22>
|
||
<mi data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
a
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=24>
|
||
<mn data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mrow data-moz-translations-id=26>
|
||
<mo data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=28>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=29>
|
||
<mfrac data-moz-translations-id=30>
|
||
<mrow data-moz-translations-id=31>
|
||
<mn data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
3
|
||
</font></font></mn>
|
||
<msup data-moz-translations-id=33>
|
||
<mi data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=35>
|
||
<mn data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
<msup data-moz-translations-id=37>
|
||
<mi data-moz-translations-id=38><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=39>
|
||
<mn data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
8th
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=42>
|
||
<mfrac data-moz-translations-id=43>
|
||
<mrow data-moz-translations-id=44>
|
||
<mn data-moz-translations-id=45><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
6
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=46><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
<msup data-moz-translations-id=47>
|
||
<mi data-moz-translations-id=48><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=49>
|
||
<mn data-moz-translations-id=50><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
8th
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=51><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=52>
|
||
<mfrac data-moz-translations-id=53>
|
||
<mrow data-moz-translations-id=54>
|
||
<mi mathvariant=normal data-moz-translations-id=55><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=56><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=57>
|
||
<mi mathvariant=normal data-moz-translations-id=58><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=59><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=60><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mo data-moz-translations-id=61><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
.
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=62><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle 0={\frac {\partial P}{\partial z}}+zA^{2}a^{2}\left({\frac {3\varrho ^{2}}{r^{8 }}}-{\frac {6t}{r^{8}}}-{\frac {\partial \psi }{\partial z}}\right).}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="38.555ex" height="6.343ex" style="vertical-align: -2.505ex;" viewBox="0 -1652.5 16599.8 2730.8" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle 0={\frac {\partial P}{\partial z}}+zA^{2}a^{2}\left({\frac {3\varrho ^{2}}{r^{8}}}-{\frac {6t}{r^{8}}}-{\frac {\partial \psi }{\partial z}}\right).}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMATHI-50" d="M287 628Q287 635 230 637Q206 637 199 638T192 648Q192 649 194 659Q200 679 203 681T397 683Q587 682 600 680Q664 669 707 631T751 530Q751 453 685 389Q616 321 507 303Q500 302 402 301H307L277 182Q247 66 247 59Q247 55 248 54T255 50T272 48T305 46H336Q342 37 342 35Q342 19 335 5Q330 0 319 0Q316 0 282 1T182 2Q120 2 87 2T51 1Q33 1 33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM645 554Q645 567 643 575T634 597T609 619T560 635Q553 636 480 637Q463 637 445 637T416 636T404 636Q391 635 386 627Q384 621 367 550T332 412T314 344Q314 342 395 342H407H430Q542 342 590 392Q617 419 631 471T645 554Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-61" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMATHI-72" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C8" d="M161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMAIN-30" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="778" y="0"></use>
<g transform="translate(1834,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1439" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-50" x="567" y="0"></use>
</g>
<g transform="translate(201,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="3735" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="4736" y="0"></use>
<g transform="translate(5205,0)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1061" y="583"></use>
</g>
<g transform="translate(6409,0)">
 <use xlink:href="#E1-MJMATHI-61" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="748" y="583"></use>
</g>
<g transform="translate(7559,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1591" height="60" x="0" y="220"></rect>
<g transform="translate(60,714)">
 <use xlink:href="#E1-MJMAIN-33" x="0" y="0"></use>
<g transform="translate(500,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="513"></use>
</g>
</g>
<g transform="translate(343,-780)">
 <use xlink:href="#E1-MJMATHI-72" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-38" x="638" y="408"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="2054" y="0"></use>
<g transform="translate(3054,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1025" height="60" x="0" y="220"></rect>
<g transform="translate(81,676)">
 <use xlink:href="#E1-MJMAIN-36" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-74" x="500" y="0"></use>
</g>
<g transform="translate(60,-780)">
 <use xlink:href="#E1-MJMATHI-72" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-38" x="638" y="408"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="4542" y="0"></use>
<g transform="translate(5543,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(151,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="7858" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2E" x="16321" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:38.555ex;height:6.343ex alt="{\displaystyle 0={\frac {\partial P}{\partial z}}+zA^{2}a^{2}\left({\frac {3\varrho ^{2}}{r^{8 }}}-{\frac {6t}{r^{8}}}-{\frac {\partial \psi }{\partial z}}\right).}" data-moz-translations-id=63></span></p></td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>The angular velocity</font></font><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \eta }" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
η</font></font>
|
||
</mi>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \eta }
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.838ex;width:1.169ex;height:2.176ex alt="{\displaystyle \eta }" data-moz-translations-id=8></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>has completely fallen out, so it does not need to have a value other than zero.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>If we eliminate</font> </font><i data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>P</font></font></i><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>from this , we get</font></font></p>
|
||
<table width=100%>
|
||
<tbody>
|
||
<tr>
|
||
<td valign=center style=text-align:left width=5%><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>(2)</font></font></td>
|
||
<td align=center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \varrho z-t{\frac {\partial \psi }{\partial \varrho }}+{\frac {8zt}{r^{2}}}\left(z{\frac {\partial \psi }{\partial \varrho }}-\varrho {\frac {\partial \psi }{\partial z}}\right)=0.}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=10>
|
||
<mfrac data-moz-translations-id=11>
|
||
<mrow data-moz-translations-id=12>
|
||
<mi mathvariant=normal data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=15>
|
||
<mi mathvariant=normal data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=19>
|
||
<mfrac data-moz-translations-id=20>
|
||
<mrow data-moz-translations-id=21>
|
||
<mn data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
8th
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
<msup data-moz-translations-id=25>
|
||
<mi data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=27>
|
||
<mn data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=29>
|
||
<mo data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=31>
|
||
<mi data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=33>
|
||
<mfrac data-moz-translations-id=34>
|
||
<mrow data-moz-translations-id=35>
|
||
<mi mathvariant=normal data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=38>
|
||
<mi mathvariant=normal data-moz-translations-id=39><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=42><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=43>
|
||
<mfrac data-moz-translations-id=44>
|
||
<mrow data-moz-translations-id=45>
|
||
<mi mathvariant=normal data-moz-translations-id=46><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=48>
|
||
<mi mathvariant=normal data-moz-translations-id=49><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=50><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=51><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mo data-moz-translations-id=52><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mn data-moz-translations-id=53><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
0.
|
||
</font></font></mn>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=54><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \varrho zt{\frac {\partial \psi }{\partial \varrho }}+{\frac {8zt}{r^{2}}}\left(z{\frac {\partial \psi } {\partial \varrho }}-\varrho {\frac {\partial \psi }{\partial z}}\right)=0.}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="37.585ex" height="6.176ex" style="vertical-align: -2.505ex;" viewBox="0 -1580.7 16182.6 2659.1" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle \varrho z-t{\frac {\partial \psi }{\partial \varrho }}+{\frac {8zt}{r^{2}}}\left(z{\frac {\partial \psi }{\partial \varrho }}-\varrho {\frac {\partial \psi }{\partial z}}\right)=0.}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C8" d="M161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path>
<path stroke-width="1" id="E1-MJMATHI-72" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="517" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="1208" y="0"></use>
 <use xlink:href="#E1-MJMATHI-74" x="2208" y="0"></use>
<g transform="translate(2570,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(127,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="4371" y="0"></use>
<g transform="translate(5372,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1450" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-38" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="500" y="0"></use>
 <use xlink:href="#E1-MJMATHI-74" x="969" y="0"></use>
</g>
<g transform="translate(272,-780)">
 <use xlink:href="#E1-MJMATHI-72" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="638" y="408"></use>
</g>
</g>
</g>
<g transform="translate(7229,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
 <use xlink:href="#E1-MJMATHI-7A" x="0" y="0"></use>
<g transform="translate(468,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(127,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="2269" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="3270" y="0"></use>
<g transform="translate(3787,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(151,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="6103" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="14347" y="0"></use>
<g transform="translate(15403,0)">
 <use xlink:href="#E1-MJMAIN-30"></use>
 <use xlink:href="#E1-MJMAIN-2E" x="500" y="0"></use>
</g>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:37.585ex;height:6.176ex alt="{\displaystyle \varrho zt{\frac {\partial \psi }{\partial \varrho }}+{\frac {8zt}{r^{2}}}\left(z{\frac {\partial \psi } {\partial \varrho }}-\varrho {\frac {\partial \psi }{\partial z}}\right)=0.}" data-moz-translations-id=55></span></td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>One can see immediately from this equation that</font></font><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \psi }" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \psi }
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.671ex;width:1.513ex;height:2.509ex alt="{\displaystyle \psi }" data-moz-translations-id=8></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>the factor</font></font><span class=mwe-math-element data-moz-translations-id=9><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=10><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle 1/t}" data-moz-translations-id=11><semantics data-moz-translations-id=12>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=13>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=14>
|
||
<mn data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=16>
|
||
<mo data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
/
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mi data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle 1/t}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.838ex;width:3.165ex;height:2.843ex alt="{\displaystyle 1/t}" data-moz-translations-id=20></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>must contain. For</font></font><span class=mwe-math-element data-moz-translations-id=21><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=22><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle t=0}" data-moz-translations-id=23><semantics data-moz-translations-id=24>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=25>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=26>
|
||
<mi data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mn data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
0
|
||
</font></font></mn>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle t=0}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,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 class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.338ex;width:5.101ex;height:2.176ex alt="{\displaystyle t=0}" data-moz-translations-id=31></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>the charge of the electric colon is zero. So at the moment the charge begins, the currents in the ether would become infinite.</font></font></p>
|
||
<p><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Since</font></font> <span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3><font style=vertical-align:inherit data-moz-translations-id=4>Maxwell</font></font></span> <font style=vertical-align:inherit data-moz-translations-id=5><font style=vertical-align:inherit data-moz-translations-id=6>'s differential equations are completely fulfilled, there is no reason to exclude such a charge that increases from zero in proportion to time.</font></font></p>
|
||
<p><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>A solution to the differential equation (2) is</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \psi ={\frac {r^{2}z}{10t}}}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit data-moz-translations-id=7><font style=vertical-align:inherit data-moz-translations-id=8>
|
||
ψ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=9><font style=vertical-align:inherit data-moz-translations-id=10><font style=vertical-align:inherit data-moz-translations-id=11>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=12>
|
||
<mfrac data-moz-translations-id=13>
|
||
<mrow data-moz-translations-id=14>
|
||
<msup data-moz-translations-id=15>
|
||
<mi data-moz-translations-id=16><font style=vertical-align:inherit data-moz-translations-id=17><font style=vertical-align:inherit data-moz-translations-id=18>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=19>
|
||
<mn data-moz-translations-id=20><font style=vertical-align:inherit data-moz-translations-id=21><font style=vertical-align:inherit data-moz-translations-id=22>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=23><font style=vertical-align:inherit data-moz-translations-id=24><font style=vertical-align:inherit data-moz-translations-id=25>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=26>
|
||
<mn data-moz-translations-id=27><font style=vertical-align:inherit data-moz-translations-id=28><font style=vertical-align:inherit data-moz-translations-id=29>
|
||
10
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=30><font style=vertical-align:inherit data-moz-translations-id=31><font style=vertical-align:inherit data-moz-translations-id=32>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \psi ={\frac {r^{2}z}{10t}}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-1.838ex;width:8.639ex;height:5.676ex alt="{\displaystyle \psi ={\frac {r^{2}z}{10t}}}" data-moz-translations-id=34></span></center>
|
||
<p><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>It follows</font></font></p>
|
||
<table width=100%>
|
||
<tbody>
|
||
<tr>
|
||
<td valign=center style=text-align:left width=5%></td>
|
||
<td align=center><span class=mwe-math-element><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=0><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \zeta ={\frac {1}{\varrho }}{\frac {\partial \psi }{\partial z}}=\left({\frac {2z^{2}+r^{2}}{10t}}\right){\frac {1}{\varrho }},}" data-moz-translations-id=1><semantics data-moz-translations-id=2>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=3>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=4>
|
||
<mi data-moz-translations-id=5><font style=vertical-align:inherit data-moz-translations-id=6><font style=vertical-align:inherit data-moz-translations-id=7>
|
||
ζ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9><font style=vertical-align:inherit data-moz-translations-id=10>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=11>
|
||
<mfrac data-moz-translations-id=12>
|
||
<mn data-moz-translations-id=13><font style=vertical-align:inherit data-moz-translations-id=14><font style=vertical-align:inherit data-moz-translations-id=15>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=16><font style=vertical-align:inherit data-moz-translations-id=17><font style=vertical-align:inherit data-moz-translations-id=18>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=19>
|
||
<mfrac data-moz-translations-id=20>
|
||
<mrow data-moz-translations-id=21>
|
||
<mi mathvariant=normal data-moz-translations-id=22><font style=vertical-align:inherit data-moz-translations-id=23><font style=vertical-align:inherit data-moz-translations-id=24>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=25><font style=vertical-align:inherit data-moz-translations-id=26><font style=vertical-align:inherit data-moz-translations-id=27>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=28>
|
||
<mi mathvariant=normal data-moz-translations-id=29><font style=vertical-align:inherit data-moz-translations-id=30><font style=vertical-align:inherit data-moz-translations-id=31>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=32><font style=vertical-align:inherit data-moz-translations-id=33><font style=vertical-align:inherit data-moz-translations-id=34>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=35><font style=vertical-align:inherit data-moz-translations-id=36><font style=vertical-align:inherit data-moz-translations-id=37>
|
||
=
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=38>
|
||
<mo data-moz-translations-id=39><font style=vertical-align:inherit data-moz-translations-id=40><font style=vertical-align:inherit data-moz-translations-id=41>
|
||
(
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=42>
|
||
<mfrac data-moz-translations-id=43>
|
||
<mrow data-moz-translations-id=44>
|
||
<mn data-moz-translations-id=45><font style=vertical-align:inherit data-moz-translations-id=46><font style=vertical-align:inherit data-moz-translations-id=47>
|
||
2
|
||
</font></font></mn>
|
||
<msup data-moz-translations-id=48>
|
||
<mi data-moz-translations-id=49><font style=vertical-align:inherit data-moz-translations-id=50><font style=vertical-align:inherit data-moz-translations-id=51>
|
||
e.g
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=52>
|
||
<mn data-moz-translations-id=53><font style=vertical-align:inherit data-moz-translations-id=54><font style=vertical-align:inherit data-moz-translations-id=55>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=56><font style=vertical-align:inherit data-moz-translations-id=57><font style=vertical-align:inherit data-moz-translations-id=58>
|
||
+
|
||
</font></font></mo>
|
||
<msup data-moz-translations-id=59>
|
||
<mi data-moz-translations-id=60><font style=vertical-align:inherit data-moz-translations-id=61><font style=vertical-align:inherit data-moz-translations-id=62>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=63>
|
||
<mn data-moz-translations-id=64><font style=vertical-align:inherit data-moz-translations-id=65><font style=vertical-align:inherit data-moz-translations-id=66>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=67>
|
||
<mn data-moz-translations-id=68><font style=vertical-align:inherit data-moz-translations-id=69><font style=vertical-align:inherit data-moz-translations-id=70>
|
||
10
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=71><font style=vertical-align:inherit data-moz-translations-id=72><font style=vertical-align:inherit data-moz-translations-id=73>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=74><font style=vertical-align:inherit data-moz-translations-id=75><font style=vertical-align:inherit data-moz-translations-id=76>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=77>
|
||
<mfrac data-moz-translations-id=78>
|
||
<mn data-moz-translations-id=79><font style=vertical-align:inherit data-moz-translations-id=80><font style=vertical-align:inherit data-moz-translations-id=81>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=82><font style=vertical-align:inherit data-moz-translations-id=83><font style=vertical-align:inherit data-moz-translations-id=84>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=85><font style=vertical-align:inherit data-moz-translations-id=86><font style=vertical-align:inherit data-moz-translations-id=87>
|
||
,
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=88><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \zeta ={\frac {1}{\varrho }}{\frac {\partial \psi }{\partial z}}=\left({\frac {2z^{2}+r^{2 }}{10t}}\right){\frac {1}{\varrho }},}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="28.577ex" height="6.343ex" style="vertical-align: -2.505ex;" viewBox="0 -1652.5 12304 2730.8" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle \zeta ={\frac {1}{\varrho }}{\frac {\partial \psi }{\partial z}}=\left({\frac {2z^{2}+r^{2}}{10t}}\right){\frac {1}{\varrho }},}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-3B6" d="M296 643Q298 704 324 704Q342 704 342 687Q342 682 339 664T336 633Q336 623 337 618T338 611Q339 612 341 612Q343 614 354 616T374 618L384 619H394Q471 619 471 586Q467 548 386 546H372Q338 546 320 564L311 558Q235 506 175 398T114 190Q114 171 116 155T125 127T137 104T153 86T171 72T192 61T213 53T235 46T256 39L322 16Q389 -10 389 -80Q389 -119 364 -154T300 -202Q292 -204 274 -204Q247 -204 225 -196Q210 -192 193 -182T172 -167Q167 -159 173 -148Q180 -139 191 -139Q195 -139 221 -153T283 -168Q298 -166 310 -152T322 -117Q322 -91 302 -75T250 -51T183 -29T116 4T65 62T44 160Q44 287 121 410T293 590L302 595Q296 613 296 643Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C8" d="M161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-72" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMATHI-3B6" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="749" y="0"></use>
<g transform="translate(1805,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="637" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="68" y="676"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="60" y="-686"></use>
</g>
</g>
<g transform="translate(2683,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(151,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="4539" y="0"></use>
<g transform="translate(5596,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="3672" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-32" x="0" y="0"></use>
<g transform="translate(500,0)">
 <use xlink:href="#E1-MJMATHI-7A" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="663" y="513"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="1646" y="0"></use>
<g transform="translate(2646,0)">
 <use xlink:href="#E1-MJMATHI-72" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="638" y="513"></use>
</g>
</g>
<g transform="translate(1154,-687)">
 <use xlink:href="#E1-MJMAIN-31"></use>
 <use xlink:href="#E1-MJMAIN-30" x="500" y="0"></use>
 <use xlink:href="#E1-MJMATHI-74" x="1001" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="4648" y="-1"></use>
</g>
<g transform="translate(11147,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="637" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="68" y="676"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="60" y="-686"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="12025" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:28.577ex;height:6.343ex alt="{\displaystyle \zeta ={\frac {1}{\varrho }}{\frac {\partial \psi }{\partial z}}=\left({\frac {2z^{2}+r^{2 }}{10t}}\right){\frac {1}{\varrho }},}" data-moz-translations-id=89></span> <p><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle -\gamma ={\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }}={\frac {2z}{10t}}.}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mo data-moz-translations-id=6><font style=vertical-align:inherit data-moz-translations-id=7><font style=vertical-align:inherit data-moz-translations-id=8>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=9><font style=vertical-align:inherit data-moz-translations-id=10><font style=vertical-align:inherit data-moz-translations-id=11>
|
||
γ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=12><font style=vertical-align:inherit data-moz-translations-id=13><font style=vertical-align:inherit data-moz-translations-id=14>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=15>
|
||
<mfrac data-moz-translations-id=16>
|
||
<mn data-moz-translations-id=17><font style=vertical-align:inherit data-moz-translations-id=18><font style=vertical-align:inherit data-moz-translations-id=19>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=20><font style=vertical-align:inherit data-moz-translations-id=21><font style=vertical-align:inherit data-moz-translations-id=22>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=23>
|
||
<mfrac data-moz-translations-id=24>
|
||
<mrow data-moz-translations-id=25>
|
||
<mi mathvariant=normal data-moz-translations-id=26><font style=vertical-align:inherit data-moz-translations-id=27><font style=vertical-align:inherit data-moz-translations-id=28>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=29><font style=vertical-align:inherit data-moz-translations-id=30><font style=vertical-align:inherit data-moz-translations-id=31>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=32>
|
||
<mi mathvariant=normal data-moz-translations-id=33><font style=vertical-align:inherit data-moz-translations-id=34><font style=vertical-align:inherit data-moz-translations-id=35>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=36><font style=vertical-align:inherit data-moz-translations-id=37><font style=vertical-align:inherit data-moz-translations-id=38>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=39><font style=vertical-align:inherit data-moz-translations-id=40><font style=vertical-align:inherit data-moz-translations-id=41>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=42>
|
||
<mfrac data-moz-translations-id=43>
|
||
<mrow data-moz-translations-id=44>
|
||
<mn data-moz-translations-id=45><font style=vertical-align:inherit data-moz-translations-id=46><font style=vertical-align:inherit data-moz-translations-id=47>
|
||
2
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=48><font style=vertical-align:inherit data-moz-translations-id=49><font style=vertical-align:inherit data-moz-translations-id=50>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=51>
|
||
<mn data-moz-translations-id=52><font style=vertical-align:inherit data-moz-translations-id=53><font style=vertical-align:inherit data-moz-translations-id=54>
|
||
10
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=55><font style=vertical-align:inherit data-moz-translations-id=56><font style=vertical-align:inherit data-moz-translations-id=57>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=58><font style=vertical-align:inherit data-moz-translations-id=59><font style=vertical-align:inherit data-moz-translations-id=60>
|
||
.
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=61><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle -\gamma ={\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }}={\frac {2z}{10t}}.}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="19.62ex" height="6.009ex" style="vertical-align: -2.338ex;" viewBox="0 -1580.7 8447.6 2587.3" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle -\gamma ={\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }}={\frac {2z}{10t}}.}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B3" d="M31 249Q11 249 11 258Q11 275 26 304T66 365T129 418T206 441Q233 441 239 440Q287 429 318 386T371 255Q385 195 385 170Q385 166 386 166L398 193Q418 244 443 300T486 391T508 430Q510 431 524 431H537Q543 425 543 422Q543 418 522 378T463 251T391 71Q385 55 378 6T357 -100Q341 -165 330 -190T303 -216Q286 -216 286 -188Q286 -138 340 32L346 51L347 69Q348 79 348 100Q348 257 291 317Q251 355 196 355Q148 355 108 329T51 260Q49 251 47 251Q45 249 31 249Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C8" d="M161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMAIN-2212" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B3" x="778" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1599" y="0"></use>
<g transform="translate(2656,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="637" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="68" y="676"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="60" y="-686"></use>
</g>
</g>
<g transform="translate(3533,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(127,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="5390" y="0"></use>
<g transform="translate(6446,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1482" height="60" x="0" y="220"></rect>
<g transform="translate(256,676)">
 <use xlink:href="#E1-MJMAIN-32" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="500" y="0"></use>
</g>
<g transform="translate(60,-687)">
 <use xlink:href="#E1-MJMAIN-31"></use>
 <use xlink:href="#E1-MJMAIN-30" x="500" y="0"></use>
 <use xlink:href="#E1-MJMATHI-74" x="1001" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2E" x="8169" y="0"></use>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.338ex;width:19.62ex;height:6.009ex alt="{\displaystyle -\gamma ={\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }}={\frac {2z}{10t}}.}" data-moz-translations-id=62></span></p></td>
|
||
</tr>
|
||
</tbody>
|
||
</table><span> <span class=pagenum id=v title="Page:Translatoric movement of the light ether.djvu/5" data-moz-translations-id=0><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3>[</font></font> <b data-moz-translations-id=4><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/5 title="Page:Translatoric movement of the light ether.djvu/5" data-moz-translations-id=5><font style=vertical-align:inherit data-moz-translations-id=6><font style=vertical-align:inherit data-moz-translations-id=7>v</font></font></a></b> <font style=vertical-align:inherit data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9>]</font></font></span></span> </span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>So the ether would flow parallel to the streamlines,</font>
|
||
</font><p><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>in which the planes laid by the</font></font> <i data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3><font style=vertical-align:inherit data-moz-translations-id=4>z</font></font></i> <font style=vertical-align:inherit data-moz-translations-id=5><font style=vertical-align:inherit data-moz-translations-id=6>-axis are the surfaces</font></font>
|
||
<span class=mwe-math-element data-moz-translations-id=7><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=8><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle r^{2}z={\rm {const.}}}" data-moz-translations-id=9><semantics data-moz-translations-id=10>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=11>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=12>
|
||
<msup data-moz-translations-id=13>
|
||
<mi data-moz-translations-id=14><font style=vertical-align:inherit data-moz-translations-id=15><font style=vertical-align:inherit data-moz-translations-id=16>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=17>
|
||
<mn data-moz-translations-id=18><font style=vertical-align:inherit data-moz-translations-id=19><font style=vertical-align:inherit data-moz-translations-id=20>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=21><font style=vertical-align:inherit data-moz-translations-id=22><font style=vertical-align:inherit data-moz-translations-id=23>
|
||
e.g
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=24><font style=vertical-align:inherit data-moz-translations-id=25><font style=vertical-align:inherit data-moz-translations-id=26>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=27>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=28>
|
||
<mi mathvariant=normal data-moz-translations-id=29><font style=vertical-align:inherit data-moz-translations-id=30><font style=vertical-align:inherit data-moz-translations-id=31>
|
||
c
|
||
</font></font></mi>
|
||
<mi mathvariant=normal data-moz-translations-id=32><font style=vertical-align:inherit data-moz-translations-id=33><font style=vertical-align:inherit data-moz-translations-id=34>
|
||
O
|
||
</font></font></mi>
|
||
<mi mathvariant=normal data-moz-translations-id=35><font style=vertical-align:inherit data-moz-translations-id=36><font style=vertical-align:inherit data-moz-translations-id=37>
|
||
n
|
||
</font></font></mi>
|
||
<mi mathvariant=normal data-moz-translations-id=38><font style=vertical-align:inherit data-moz-translations-id=39><font style=vertical-align:inherit data-moz-translations-id=40>
|
||
s
|
||
</font></font></mi>
|
||
<mi mathvariant=normal data-moz-translations-id=41><font style=vertical-align:inherit data-moz-translations-id=42><font style=vertical-align:inherit data-moz-translations-id=43>
|
||
t
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=44><font style=vertical-align:inherit data-moz-translations-id=45><font style=vertical-align:inherit data-moz-translations-id=46>
|
||
.
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle r^{2}z={\rm {const.}}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.338ex;width:12.245ex;height:2.676ex alt="{\displaystyle r^{2}z={\rm {const.}}}" data-moz-translations-id=48></span><font style=vertical-align:inherit data-moz-translations-id=49><font style=vertical-align:inherit data-moz-translations-id=50>cut. However, search a flow is hydrodynamically impossible because of the speed</font></font>
|
||
<span class=mwe-math-element data-moz-translations-id=51><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=52><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \gamma }" data-moz-translations-id=53><semantics data-moz-translations-id=54>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=55>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=56>
|
||
<mi data-moz-translations-id=57><font style=vertical-align:inherit data-moz-translations-id=58><font style=vertical-align:inherit data-moz-translations-id=59>
|
||
γ</font></font>
|
||
</mi>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=60><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \gamma }
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.838ex;width:1.262ex;height:2.176ex alt="{\displaystyle \gamma }" data-moz-translations-id=61></span><font style=vertical-align:inherit data-moz-translations-id=62><font style=vertical-align:inherit data-moz-translations-id=63>for</font></font>
|
||
<span class=mwe-math-element data-moz-translations-id=64><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=65><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \varrho =0}" data-moz-translations-id=66><semantics data-moz-translations-id=67>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=68>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=69>
|
||
<mi data-moz-translations-id=70><font style=vertical-align:inherit data-moz-translations-id=71><font style=vertical-align:inherit data-moz-translations-id=72>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=73><font style=vertical-align:inherit data-moz-translations-id=74><font style=vertical-align:inherit data-moz-translations-id=75>
|
||
=
|
||
</font></font></mo>
|
||
<mn data-moz-translations-id=76><font style=vertical-align:inherit data-moz-translations-id=77><font style=vertical-align:inherit data-moz-translations-id=78>
|
||
0
|
||
</font></font></mn>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=79><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \varrho =0}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.671ex;width:5.463ex;height:2.509ex alt="{\displaystyle \varrho =0}" data-moz-translations-id=80></span><font style=vertical-align:inherit data-moz-translations-id=81><font style=vertical-align:inherit data-moz-translations-id=82>becomes infinite.</font></font></p>
|
||
<p><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>As a second case, we consider an electrified point with the charge</font></font> <i data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3><font style=vertical-align:inherit data-moz-translations-id=4>e</font></font></i> <font style=vertical-align:inherit data-moz-translations-id=5><font style=vertical-align:inherit data-moz-translations-id=6>, which moves through space</font> <font style=vertical-align:inherit data-moz-translations-id=7>with the constant speed</font></font> <i data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9><font style=vertical-align:inherit data-moz-translations-id=10>v</font></font></i> <font style=vertical-align:inherit data-moz-translations-id=11><font style=vertical-align:inherit data-moz-translations-id=12>. This case is completely treated by</font></font> <span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=13><font style=vertical-align:inherit data-moz-translations-id=14><font style=vertical-align:inherit data-moz-translations-id=15>Heaviside</font></font></span> <font style=vertical-align:inherit data-moz-translations-id=16><font style=vertical-align:inherit data-moz-translations-id=17>and his solution gives the following values of the electric and magnetic forces, related to a coordinate system fixed in the electrified point in whose</font></font> <i data-moz-translations-id=18><font style=vertical-align:inherit data-moz-translations-id=19><font style=vertical-align:inherit data-moz-translations-id=20>x x</font></font></i> <font style=vertical-align:inherit data-moz-translations-id=21><font style=vertical-align:inherit data-moz-translations-id=22>-axis the movement takes place.</font></font></p>
|
||
<table width=100%>
|
||
<tbody>
|
||
<tr>
|
||
<td valign=center style=text-align:left width=5%></td>
|
||
<td align=center><span class=mwe-math-element><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=0><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\begin{array}{lclcc}X={\frac {1}{v}}{\frac {\partial U}{\partial x}}\left(1-A^{2}v^{2}\right),&&Y={\frac {1}{v}}{\frac {\partial U}{\partial y}},&&Z={\frac {1}{v}}{\frac {\partial U}{\partial z}},\\\\M=-A{\frac {\partial U}{\partial z}},&&N=A{\frac {\partial U}{\partial y}},&&L=0.\end{array}}}" data-moz-translations-id=1><semantics data-moz-translations-id=2>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=3>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=4>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=5>
|
||
<mtable columnalign="left center left center center" rowspacing=4pt columnspacing=1em data-moz-translations-id=6>
|
||
<mtr data-moz-translations-id=7>
|
||
<mtd data-moz-translations-id=8>
|
||
<mi data-moz-translations-id=9><font style=vertical-align:inherit data-moz-translations-id=10><font style=vertical-align:inherit data-moz-translations-id=11>
|
||
X
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=13>
|
||
<mfrac data-moz-translations-id=14>
|
||
<mn data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=17>
|
||
<mfrac data-moz-translations-id=18>
|
||
<mrow data-moz-translations-id=19>
|
||
<mi mathvariant=normal data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
U
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=22>
|
||
<mi mathvariant=normal data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=25>
|
||
<mo data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=27>
|
||
<mn data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<msup data-moz-translations-id=30>
|
||
<mi data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=32>
|
||
<mn data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=34>
|
||
<mi data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=36>
|
||
<mn data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
<mo data-moz-translations-id=38><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mo data-moz-translations-id=39><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mtd>
|
||
<mtd data-moz-translations-id=40></mtd>
|
||
<mtd data-moz-translations-id=41>
|
||
<mi data-moz-translations-id=42><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
Y
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=44>
|
||
<mfrac data-moz-translations-id=45>
|
||
<mn data-moz-translations-id=46><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=48>
|
||
<mfrac data-moz-translations-id=49>
|
||
<mrow data-moz-translations-id=50>
|
||
<mi mathvariant=normal data-moz-translations-id=51><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=52><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
U
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=53>
|
||
<mi mathvariant=normal data-moz-translations-id=54><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=55><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=56><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mtd>
|
||
<mtd data-moz-translations-id=57></mtd>
|
||
<mtd data-moz-translations-id=58>
|
||
<mi data-moz-translations-id=59><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
Z
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=60><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=61>
|
||
<mfrac data-moz-translations-id=62>
|
||
<mn data-moz-translations-id=63><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=64><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=65>
|
||
<mfrac data-moz-translations-id=66>
|
||
<mrow data-moz-translations-id=67>
|
||
<mi mathvariant=normal data-moz-translations-id=68><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=69><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
U
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=70>
|
||
<mi mathvariant=normal data-moz-translations-id=71><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=72><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=73><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=74>
|
||
<mtd data-moz-translations-id=75></mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=76>
|
||
<mtd data-moz-translations-id=77>
|
||
<mi data-moz-translations-id=78><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
M
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=79><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mo data-moz-translations-id=80><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=81><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=82>
|
||
<mfrac data-moz-translations-id=83>
|
||
<mrow data-moz-translations-id=84>
|
||
<mi mathvariant=normal data-moz-translations-id=85><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=86><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
U
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=87>
|
||
<mi mathvariant=normal data-moz-translations-id=88><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=89><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=90><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mtd>
|
||
<mtd data-moz-translations-id=91></mtd>
|
||
<mtd data-moz-translations-id=92>
|
||
<mi data-moz-translations-id=93><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
N
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=94><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=95><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=96>
|
||
<mfrac data-moz-translations-id=97>
|
||
<mrow data-moz-translations-id=98>
|
||
<mi mathvariant=normal data-moz-translations-id=99><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=100><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
U
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=101>
|
||
<mi mathvariant=normal data-moz-translations-id=102><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=103><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=104><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mtd>
|
||
<mtd data-moz-translations-id=105></mtd>
|
||
<mtd data-moz-translations-id=106>
|
||
<mi data-moz-translations-id=107><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
L
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=108><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mn data-moz-translations-id=109><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
0.
|
||
</font></font></mn>
|
||
</mtd>
|
||
</mtr>
|
||
</mtable>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=110><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\begin{array}{lclcc}X={\frac {1}{v}}{\frac {\partial U}{\partial x}}\left(1-A^{2}v^ {2}\right),&&Y={\frac {1}{v}}{\frac {\partial U}{\partial y}},&&Z={\frac {1}{v}}{\frac { \partial U}{\partial z}},\\\\M=-A{\frac {\partial U}{\partial z}},&&N=A{\frac {\partial U}{\partial y} },&&L=0.\end{array}}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="53.033ex" height="11.843ex" style="vertical-align: -5.338ex;" viewBox="0 -2800.6 22833.6 5098.9" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\begin{array}{lclcc}X={\frac {1}{v}}{\frac {\partial U}{\partial x}}\left(1-A^{2}v^{2}\right),&amp;&amp;Y={\frac {1}{v}}{\frac {\partial U}{\partial y}},&amp;&amp;Z={\frac {1}{v}}{\frac {\partial U}{\partial z}},\\\\M=-A{\frac {\partial U}{\partial z}},&amp;&amp;N=A{\frac {\partial U}{\partial y}},&amp;&amp;L=0.\end{array}}}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-58" d="M42 0H40Q26 0 26 11Q26 15 29 27Q33 41 36 43T55 46Q141 49 190 98Q200 108 306 224T411 342Q302 620 297 625Q288 636 234 637H206Q200 643 200 645T202 664Q206 677 212 683H226Q260 681 347 681Q380 681 408 681T453 682T473 682Q490 682 490 671Q490 670 488 658Q484 643 481 640T465 637Q434 634 411 620L488 426L541 485Q646 598 646 610Q646 628 622 635Q617 635 609 637Q594 637 594 648Q594 650 596 664Q600 677 606 683H618Q619 683 643 683T697 681T738 680Q828 680 837 683H845Q852 676 852 672Q850 647 840 637H824Q790 636 763 628T722 611T698 593L687 584Q687 585 592 480L505 384Q505 383 536 304T601 142T638 56Q648 47 699 46Q734 46 734 37Q734 35 732 23Q728 7 725 4T711 1Q708 1 678 1T589 2Q528 2 496 2T461 1Q444 1 444 10Q444 11 446 25Q448 35 450 39T455 44T464 46T480 47T506 54Q523 62 523 64Q522 64 476 181L429 299Q241 95 236 84Q232 76 232 72Q232 53 261 47Q262 47 267 47T273 46Q276 46 277 46T280 45T283 42T284 35Q284 26 282 19Q279 6 276 4T261 1Q258 1 243 1T201 2T142 2Q64 2 42 0Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMATHI-76" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMATHI-55" d="M107 637Q73 637 71 641Q70 643 70 649Q70 673 81 682Q83 683 98 683Q139 681 234 681Q268 681 297 681T342 682T362 682Q378 682 378 672Q378 670 376 658Q371 641 366 638H364Q362 638 359 638T352 638T343 637T334 637Q295 636 284 634T266 623Q265 621 238 518T184 302T154 169Q152 155 152 140Q152 86 183 55T269 24Q336 24 403 69T501 205L552 406Q599 598 599 606Q599 633 535 637Q511 637 511 648Q511 650 513 660Q517 676 519 679T529 683Q532 683 561 682T645 680Q696 680 723 681T752 682Q767 682 767 672Q767 650 759 642Q756 637 737 637Q666 633 648 597Q646 592 598 404Q557 235 548 205Q515 105 433 42T263 -22Q171 -22 116 34T60 167V183Q60 201 115 421Q164 622 164 628Q164 635 107 637Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ1-28" d="M152 251Q152 646 388 850H416Q422 844 422 841Q422 837 403 816T357 753T302 649T255 482T236 250Q236 124 255 19T301 -147T356 -251T403 -315T422 -340Q422 -343 416 -349H388Q359 -325 332 -296T271 -213T212 -97T170 56T152 251Z"></path>
<path stroke-width="1" id="E1-MJSZ1-29" d="M305 251Q305 -145 69 -349H56Q43 -349 39 -347T35 -338Q37 -333 60 -307T108 -239T160 -136T204 27T221 250T204 473T160 636T108 740T60 807T35 839Q35 850 50 850H56H69Q197 743 256 566Q305 425 305 251Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
<path stroke-width="1" id="E1-MJMATHI-59" d="M66 637Q54 637 49 637T39 638T32 641T30 647T33 664T42 682Q44 683 56 683Q104 680 165 680Q288 680 306 683H316Q322 677 322 674T320 656Q316 643 310 637H298Q242 637 242 624Q242 619 292 477T343 333L346 336Q350 340 358 349T379 373T411 410T454 461Q546 568 561 587T577 618Q577 634 545 637Q528 637 528 647Q528 649 530 661Q533 676 535 679T549 683Q551 683 578 682T657 680Q684 680 713 681T746 682Q763 682 763 673Q763 669 760 657T755 643Q753 637 734 637Q662 632 617 587Q608 578 477 424L348 273L322 169Q295 62 295 57Q295 46 363 46Q379 46 384 45T390 35Q390 33 388 23Q384 6 382 4T366 1Q361 1 324 1T232 2Q170 2 138 2T102 1Q84 1 84 9Q84 14 87 24Q88 27 89 30T90 35T91 39T93 42T96 44T101 45T107 45T116 46T129 46Q168 47 180 50T198 63Q201 68 227 171L252 274L129 623Q128 624 127 625T125 627T122 629T118 631T113 633T105 634T96 635T83 636T66 637Z"></path>
<path stroke-width="1" id="E1-MJMATHI-79" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMATHI-5A" d="M58 8Q58 23 64 35Q64 36 329 334T596 635L586 637Q575 637 512 637H500H476Q442 637 420 635T365 624T311 598T266 548T228 469Q227 466 226 463T224 458T223 453T222 450L221 448Q218 443 202 443Q185 443 182 453L214 561Q228 606 241 651Q249 679 253 681Q256 683 487 683H718Q723 678 723 675Q723 673 717 649Q189 54 188 52L185 49H274Q369 50 377 51Q452 60 500 100T579 247Q587 272 590 277T603 282H607Q628 282 628 271Q547 5 541 2Q538 0 300 0H124Q58 0 58 8Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMATHI-4D" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path>
<path stroke-width="1" id="E1-MJMATHI-4E" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path>
<path stroke-width="1" id="E1-MJMATHI-4C" d="M228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 217 683Q271 680 344 680Q485 680 506 683H518Q524 677 524 674T522 656Q517 641 513 637H475Q406 636 394 628Q387 624 380 600T313 336Q297 271 279 198T252 88L243 52Q243 48 252 48T311 46H328Q360 46 379 47T428 54T478 72T522 106T564 161Q580 191 594 228T611 270Q616 273 628 273H641Q647 264 647 262T627 203T583 83T557 9Q555 4 553 3T537 0T494 -1Q483 -1 418 -1T294 0H116Q32 0 32 10Q32 17 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637Z"></path>
<path stroke-width="1" id="E1-MJMAIN-30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
<g transform="translate(167,0)">
<g transform="translate(-11,0)">
<g transform="translate(0,1746)">
 <use xlink:href="#E1-MJMATHI-58" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1130" y="0"></use>
<g transform="translate(2186,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="473" height="60" x="0" y="220"></rect>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="84" y="629"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-76" x="92" y="-488"></use>
</g>
</g>
<g transform="translate(2900,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1063" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-55" x="567" y="0"></use>
</g>
<g transform="translate(128,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
<g transform="translate(4371,0)">
 <use xlink:href="#E1-MJSZ1-28"></use>
<g transform="translate(458,0)">
 <use xlink:href="#E1-MJMAIN-31" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="722" y="0"></use>
<g transform="translate(1723,0)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1061" y="513"></use>
</g>
<g transform="translate(2927,0)">
 <use xlink:href="#E1-MJMATHI-76" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="686" y="513"></use>
</g>
</g>
 <use xlink:href="#E1-MJSZ1-29" x="4325" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="9322" y="0"></use>
</g>
<g transform="translate(0,-1618)">
 <use xlink:href="#E1-MJMATHI-4D" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1329" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="2385" y="0"></use>
 <use xlink:href="#E1-MJMATHI-41" x="3164" y="0"></use>
<g transform="translate(3914,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1063" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-55" x="567" y="0"></use>
</g>
<g transform="translate(165,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="5218" y="0"></use>
</g>
</g>
<g transform="translate(11590,0)">
<g transform="translate(0,1746)">
 <use xlink:href="#E1-MJMATHI-59" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1041" y="0"></use>
<g transform="translate(2097,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="473" height="60" x="0" y="220"></rect>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="84" y="629"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-76" x="92" y="-488"></use>
</g>
</g>
<g transform="translate(2811,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1063" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-55" x="567" y="0"></use>
</g>
<g transform="translate(155,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-79" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="4115" y="0"></use>
</g>
<g transform="translate(0,-1618)">
 <use xlink:href="#E1-MJMATHI-4E" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1166" y="0"></use>
 <use xlink:href="#E1-MJMATHI-41" x="2222" y="0"></use>
<g transform="translate(2973,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1063" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-55" x="567" y="0"></use>
</g>
<g transform="translate(155,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-79" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="4277" y="0"></use>
</g>
</g>
<g transform="translate(18145,0)">
<g transform="translate(0,1746)">
 <use xlink:href="#E1-MJMATHI-5A" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1001" y="0"></use>
<g transform="translate(2057,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="473" height="60" x="0" y="220"></rect>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="84" y="629"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-76" x="92" y="-488"></use>
</g>
</g>
<g transform="translate(2771,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1063" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-55" x="567" y="0"></use>
</g>
<g transform="translate(165,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="4075" y="0"></use>
</g>
<g transform="translate(779,-1618)">
 <use xlink:href="#E1-MJMATHI-4C" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="959" y="0"></use>
<g transform="translate(2015,0)">
 <use xlink:href="#E1-MJMAIN-30"></use>
 <use xlink:href="#E1-MJMAIN-2E" x="500" y="0"></use>
</g>
</g>
</g>
</g>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-5.338ex;width:53.033ex;height:11.843ex alt="{\displaystyle {\begin{array}{lclcc}X={\frac {1}{v}}{\frac {\partial U}{\partial x}}\left(1-A^{2}v^ {2}\right),&&Y={\frac {1}{v}}{\frac {\partial U}{\partial y}},&&Z={\frac {1}{v}}{\frac { \partial U}{\partial z}},\\\\M=-A{\frac {\partial U}{\partial z}},&&N=A{\frac {\partial U}{\partial y} },&&L=0.\end{array}}}" data-moz-translations-id=111></span> <p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>.</font></font><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle U={\frac {ev}{\sqrt {r^{2}-A^{2}v^{2}\varrho ^{2}}}}\quad \varrho ^{2}=y^{2}+z^{2}}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
U
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=8>
|
||
<mfrac data-moz-translations-id=9>
|
||
<mrow data-moz-translations-id=10>
|
||
<mi data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
</mrow>
|
||
<msqrt data-moz-translations-id=13>
|
||
<msup data-moz-translations-id=14>
|
||
<mi data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=16>
|
||
<mn data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<msup data-moz-translations-id=19>
|
||
<mi data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=21>
|
||
<mn data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=23>
|
||
<mi data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=25>
|
||
<mn data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=27>
|
||
<mi data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=29>
|
||
<mn data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</msqrt>
|
||
</mfrac>
|
||
</mrow>
|
||
<mspace width=1em data-moz-translations-id=31></mspace>
|
||
<msup data-moz-translations-id=32>
|
||
<mi data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=34>
|
||
<mn data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<msup data-moz-translations-id=37>
|
||
<mi data-moz-translations-id=38><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=39>
|
||
<mn data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<msup data-moz-translations-id=42>
|
||
<mi data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=44>
|
||
<mn data-moz-translations-id=45><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=46><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle U={\frac {ev}{\sqrt {r^{2}-A^{2}v^{2}\varrho ^{2}}}}\quad \varrho ^{2}=y ^{2}+z^{2}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="35.097ex" height="6.009ex" style="vertical-align: -3.171ex;" viewBox="0 -1221.9 15110.9 2587.3" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle U={\frac {ev}{\sqrt {r^{2}-A^{2}v^{2}\varrho ^{2}}}}\quad \varrho ^{2}=y^{2}+z^{2}}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-55" d="M107 637Q73 637 71 641Q70 643 70 649Q70 673 81 682Q83 683 98 683Q139 681 234 681Q268 681 297 681T342 682T362 682Q378 682 378 672Q378 670 376 658Q371 641 366 638H364Q362 638 359 638T352 638T343 637T334 637Q295 636 284 634T266 623Q265 621 238 518T184 302T154 169Q152 155 152 140Q152 86 183 55T269 24Q336 24 403 69T501 205L552 406Q599 598 599 606Q599 633 535 637Q511 637 511 648Q511 650 513 660Q517 676 519 679T529 683Q532 683 561 682T645 680Q696 680 723 681T752 682Q767 682 767 672Q767 650 759 642Q756 637 737 637Q666 633 648 597Q646 592 598 404Q557 235 548 205Q515 105 433 42T263 -22Q171 -22 116 34T60 167V183Q60 201 115 421Q164 622 164 628Q164 635 107 637Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMATHI-65" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path>
<path stroke-width="1" id="E1-MJMATHI-76" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path>
<path stroke-width="1" id="E1-MJMATHI-72" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJSZ1-221A" d="M263 249Q264 249 315 130T417 -108T470 -228L725 302Q981 837 982 839Q989 850 1001 850Q1008 850 1013 844T1020 832V826L741 243Q645 43 540 -176Q479 -303 469 -324T453 -348Q449 -350 436 -350L424 -349L315 -96Q206 156 205 156L171 130Q138 104 137 104L111 130L263 249Z"></path>
<path stroke-width="1" id="E1-MJMATHI-79" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMATHI-55" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1045" y="0"></use>
<g transform="translate(2101,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="6364" height="60" x="0" y="220"></rect>
<g transform="translate(2706,676)">
 <use xlink:href="#E1-MJMATHI-65" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-76" x="466" y="0"></use>
</g>
<g transform="translate(60,-970)">
 <use xlink:href="#E1-MJSZ1-221A" x="0" y="38"></use>
<rect stroke="none" width="5243" height="60" x="1000" y="829"></rect>
<g transform="translate(1000,0)">
 <use xlink:href="#E1-MJMATHI-72" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="638" y="408"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="1127" y="0"></use>
<g transform="translate(2128,0)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1061" y="408"></use>
</g>
<g transform="translate(3332,0)">
 <use xlink:href="#E1-MJMATHI-76" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="686" y="408"></use>
</g>
<g transform="translate(4272,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
</g>
</g>
</g>
<g transform="translate(9705,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="583"></use>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="10954" y="0"></use>
<g transform="translate(12011,0)">
 <use xlink:href="#E1-MJMATHI-79" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="706" y="583"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="13186" y="0"></use>
<g transform="translate(14187,0)">
 <use xlink:href="#E1-MJMATHI-7A" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="663" y="583"></use>
</g>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-3.171ex;width:35.097ex;height:6.009ex alt="{\displaystyle U={\frac {ev}{\sqrt {r^{2}-A^{2}v^{2}\varrho ^{2}}}}\quad \varrho ^{2}=y ^{2}+z^{2}}" data-moz-translations-id=47></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>.</font></font></p></td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Then the sizes result</font></font><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\mathfrak {P,\ Q,\ R}}}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=7>
|
||
<mi mathvariant=fraktur data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
P
|
||
</font></font></mi>
|
||
<mo mathvariant=fraktur data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
<mtext mathvariant=fraktur data-moz-translations-id=10>
|
||
|
||
</mtext>
|
||
<mi mathvariant=fraktur data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
Q
|
||
</font></font></mi>
|
||
<mo mathvariant=fraktur data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
<mtext mathvariant=fraktur data-moz-translations-id=13>
|
||
|
||
</mtext>
|
||
<mi mathvariant=fraktur data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
R
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\mathfrak {P,\Q,\R}}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,PHN2ZyB4bWxuczp4bGluaz0iaHR0cDovL3d3dy53My5vcmcvMTk5OS94bGluayIgd2lkdGg9IjlleCIgaGVpZ2h0PSIyLjg0M2V4IiBzdHlsZT0idmVydGljYWwtYWxpZ246IC0wLjgzOGV4OyIgdmlld0JveD0iMCAtODYzLjEgMzg3NC44IDEyMjMuOSIgcm9sZT0iaW1nIiBmb2N1c2FibGU9ImZhbHNlIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIGFyaWEtbGFiZWxsZWRieT0iTWF0aEpheC1TVkctMS1UaXRsZSI+Cjx0aXRsZSBpZD0iTWF0aEpheC1TVkctMS1UaXRsZSI+e1xkaXNwbGF5c3R5bGUge1xtYXRoZnJhayB7UCxcIFEsXCBSfX19PC90aXRsZT4KPGRlZnMgYXJpYS1oaWRkZW49InRydWUiPgo8cGF0aCBzdHJva2Utd2lkdGg9IjEiIGlkPSJFMS1NSkZSQUstNTAiIGQ9Ik0xMTIgMzM5UTExMiAzNTQgOTEgMzgwVDQ5IDQzOFQyOCA0OTdRMjggNTY1IDk1IDYyOFQyNDIgNjkyUTI2MSA2OTIgMjc3IDY4OVQzMDcgNjgyVDMzMSA2NzBUMzUxIDY1NVQzNjcgNjM3VDM3OSA2MTlUMzg4IDYwMFQzOTUgNTgyVDQwMSA1NjVUNDA1IDU1MFE0MDkgNTU0IDQyMiA1NzBUNDUzIDYwM1Q1MDAgNjQxUTU3MyA2OTIgNjM3IDY5MlE2NTYgNjkyIDY3MCA2ODZUNjkyIDY3MlQ3MDUgNjQ3VDcxMyA2MThUNzE4IDU4NFE3MjAgNTY4IDcyMSA1NjJUNzI4IDU0NlQ3NDIgNTM0VDc2OCA1MzBRNzc2IDUzMSA3ODIgNTMyVDc5MSA1MzVUNzk2IDUzNlE3OTkgNTM2IDgwNCA1MjFRODAxIDUxOSA3ODkgNTEzVDc2NCA0OTlUNzM4IDQ4MFE2OTcgNDQ3IDY4MCA0MTRRNjc3IDQwNyA2NzcgMzk2UTY3NyAzNzAgNzEzIDMxMlQ3NTAgMjEwUTc1MCAxMjUgNjg2IDU3VDU2MCAtMTFRNTQwIC0xMSA0NzUgMTNMNDEwIDM3VjMxUTQxMCAtOSA0MTIgLTUwVDQxNyAtMTE4VDQyMCAtMTUwUTQxOSAtMTUwIDM3MyAtMTg0VDMyNiAtMjE4TDMwNSAtMjA4UTMwNSAtMjA3IDMwNyAtMTk2VDMxNCAtMTY1VDMyMiAtMTE2VDMyOCAtNDZUMzMxIDQzVjYzTDMxOCA2NlEyNzAgODAgMjUwIDgwUTIzMyA4MCAyMTMgNzBRMTgzIDU3IDEzOCAtM0wxMjggLTE2TDExOCA1TDEyNSAyMFExOTMgMTU0IDI4MiAxNTRRMzA5IDE1NCAzMzEgMTQ2VjI4N1EzMzEgNDQ0IDMyNyA0NjlRMzIxIDUyMiAzMDEgNTYwUTI4NCA1OTAgMjUxIDYxMVQxODQgNjMzUTE0NiA2MzMgMTE5IDYwN1Q5MiA1NTBROTIgNTM5IDk0IDUzNFExMDAgNTE2IDE0MyA0NjBUMTg2IDM4NlExODYgMzY2IDE3MCAzMzZUMTE5IDI4MVExMDIgMjY0IDcwIDI1MEw0OSAyNjBMNTYgMjY2UTY0IDI3MSA3MiAyNzhUOTAgMjk2VDEwNiAzMTdUMTEyIDMzOVpNNjAyIDM0NVE2MDIgMzU3IDYwOCAzNzFUNjIyIDM5N1Q2NDIgNDIxVDY2MSA0NDFUNjc4IDQ1Nkw2ODYgNDYyUTY2MyA0NzMgNjUyIDQ4NlQ2MzkgNTEyVDYzNCA1NTNRNjMxIDU5NCA2MjQgNjA4VDU5MyA2MzFRNTg3IDYzMiA1NjcgNjMyUTUzOSA2MzIgNDk3IDYwMFQ0MTYgNDk3TDQxMCA0ODRWMTIyTDQ2NyAxMDNRNDgxIDk5IDUwMiA5MlQ1MzMgODJUNTU3IDc1VDU3OCA2OVQ1OTQgNjZUNjEwIDY0UTY0NyA2NCA2NzIgODdUNjk3IDE0NFE2OTcgMTgwIDY1MCAyNTBUNjAyIDM0NVoiPjwvcGF0aD4KPHBhdGggc3Ryb2tlLXdpZHRoPSIxIiBpZD0iRTEtTUpGUkFLLTJDIiBkPSJNOTkgNjJROTkgODIgMTE0IDk0VDE0NCAxMDdRMTU5IDEwNyAxNzggNzdUMjA1IDI2UTIxMyA1IDIxMyAtMjNRMjEzIC00OSAyMDcgLTY1VDE4MSAtMTEzUTEyOCAtMTg5IDEyMiAtMTkxUTEyMSAtMTkxIDExNiAtMTg0VDExMSAtMTc0UTExMSAtMTczIDEyMiAtMTU1VDE0NSAtMTExVDE1NiAtNjJRMTU2IC00NCAxNTIgLTM0VDEyNyA0TDEwNCAzN1E5OSA0OSA5OSA2MloiPjwvcGF0aD4KPHBhdGggc3Ryb2tlLXdpZHRoPSIxIiBpZD0iRTEtTUpGUkFLLTUxIiBkPSJNNDI4IDU5NlE0MTIgNTk2IDM4NiA1OTVUMzUwIDU5M1EzMTMgNTkzIDI5MSA2MDVUMjY4IDYzOFEyNjggNjQ0IDI2OSA2NDhUMjc0IDY1OFQyODQgNjY5VDMwMSA2ODlUMzI2IDcxOEwzMzYgNzI5SDM0M1EzNTEgNzI5IDM1MSA3MjhRMzQyIDcxMCAzNDIgNzAzUTM0MiA2ODMgMzgyIDY3NlQ0OTMgNjYyVDYwNCA2NDNRNzQ0IDU5MiA3NDQgMzk4UTc0NCAyOTkgNzA4IDIxM1Q2NDYgMTA0TDYwMyA2OEw2MTQgNTVRNjcwIC01IDcxMCAtNVE3MjYgLTUgNzQ0IDFUNzcyIDE0TDc4MSAyMFE3ODIgMjAgNzgyIDdWLTZMNzcxIC0xM1E2NzMgLTY5IDY2NSAtNjlMNjQ3IC02M1E1NTIgLTMwIDUxNCA4SDUxMlE1MDkgOCA1MDAgM1Q0NzEgLTlUNDI4IC0yM1E0MDUgLTI3IDM3NyAtMjdRMzA1IC0yNCAyMjggNlQxMjQgMzZRNjkgMzYgMjcgLTE2UTIzIC0xMyAxOSAtOEwxMSAwTDI3IDIwUTkzIDEwMiAxMDkgMTA5UTE0NSAxMjMgMTY2IDE1MFQxODcgMjA3UTE4NyAyNDQgMTM0IDMxOFQ4MCA0MTJRODAgNDU0IDExMiA0OThUMTc2IDU2NlQyMTMgNTkwUTIxNiA1OTAgMjI0IDU4NUwyMzQgNTgwTDIyNSA1NzNRMjE2IDU2NiAyMDcgNTU3VDE4OCA1MzZUMTcyIDUxMVQxNjUgNDg0UTE2NSA0NDggMjEzIDM2OFQyNjEgMjU5UTI2MSAyNDEgMjUyIDIxOVQyMjggMTc5VDIwMCAxNDZUMTc2IDEyMkwxNjcgMTEyUTE3MCAxMTEgMTc0IDExMVExODggMTEwIDIzMyA5MVQzMzkgNTVUNDUzIDM3UTUwOCAzNyA1NTYgNjhUNjI2IDE1MlE2NTUgMjE5IDY1NSAzMjhRNjU1IDU0MyA1MzIgNTgyUTQ4NCA1OTYgNDI4IDU5NloiPjwvcGF0aD4KPHBhdGggc3Ryb2tlLXdpZHRoPSIxIiBpZD0iRTEtTUpGUkFLLTUyIiBkPSJNMjcgNDk2UTMxIDU2OSAxMDIgNjI3VDIzNCA2ODVRMjM2IDY4NSAyNDEgNjg1VDI1MSA2ODZRMjg3IDY4NiAzMTggNjcyVDM2NyA2MzhUMzk5IDU5OFQ0MTggNTY0TDQyMyA1NTBRNDI0IDU1NCA0MzQgNTY3VDQ2MyA2MDFUNTA1IDYzOVQ1NjEgNjcxVDYyNiA2ODVRNjcyIDY4NSA2ODggNjU5VDcxMCA1NzJRNzEzIDUzMyA3MjEgNTIzVDc2NiA1MTNRNzgxIDUxMyA3ODcgNTE0VDc5NCA1MTZRNzk2IDUxMiA3OTggNTA5VDgwMSA1MDRUODAyIDUwMVQ3ODcgNDkzUTcwMiA0NjEgNjI0IDQwMUw2MDcgMzg5UTY1NSAzODMgNjg4IDM1OEw2OTcgMzUyVjM0MlE2OTkgMzMwIDY5OSAyOTdRNzA0IDIwOSA3MTAgMTczVDczNCAxMDNRNzUxIDY5IDc2NSA2OVE3NjkgNjkgODA2IDgzTDgyNCA5MFY3NFE4MjMgNzMgNzU5IDI0VDY5MyAtMjZRNjkyIC0yNiA2NjAgMzJMNjI4IDkwTDYyOSAxMTFRNjMxIDE1OSA2MzEgMTc3UTYzMSAyNzggNjE0IDMwMFE1ODQgMzQwIDUyMyAzNDBRNTAwIDM0MCA0NjcgMzMzVDQzMSAzMjVRNDI5IDMyNSA0MjkgMzIyUTQyOCAzMjEgNDI2IDMwOFQ0MjAgMjc1VDQxMCAyMzBUMzkyIDE3OFQzNjYgMTI1TDM1OCAxMTJMMzQyIDk5UTMwNiA3MCAyNjkgMzhUMjEzIC0xMFQxOTMgLTI2UTE5MiAtMjYgMTYzIDBUMTE2IDI2UTgyIDI2IDUwIC04TDQyIC0xNkwzNSAtOEwyNyAwTDM1IDEwUTQzIDIxIDU4IDM4VDEwNCA4MFQxNTggMTA2UTE3OSAxMDYgMjE4IDY1TDIzNSA0OFEyMzggNDggMjU1IDYwVDI5NSA5OVQzMjkgMTU4UTM1MiAyMzEgMzUyIDM1OVEzNTIgNTU1IDI0MiA2MTRRMjEwIDYyOCAxODcgNjI4UTE0MCA2MjggMTE2IDYwMFQ5MSA1NDhROTEgNTIyIDEzOCA0NjRUMTg1IDM4MlYzNzZRMTg1IDM0NSAxNTggMzEzVDEwMyAyNjNMNzYgMjQ2UTc0IDI0NCA2NCAyNTNMNTQgMjYwTDY1IDI2N1E5MSAyODUgMTAwIDMwMlExMTEgMzE4IDExMSAzMzdRMTExIDM1NSA2OSA0MTBUMjcgNDk2Wk01NjIgNjI4UTUwNCA2MjggNDQzIDUwN0w0MzUgNDkxTDQzNiA0NzlRNDM3IDQ3MSA0MzcgNDQ2UTQzNyAzOTYgNDMyIDM1MUw1MjkgMzg5TDYwMiA0MjZRNjczIDQ2MiA2NzMgNDYzSDY3MlE2NDQgNDcwIDYzNyA0ODNUNjIyIDU1M1E2MDggNjI4IDU2MiA2MjhaIj48L3BhdGg+CjwvZGVmcz4KPGcgc3Ryb2tlPSJjdXJyZW50Q29sb3IiIGZpbGw9ImN1cnJlbnRDb2xvciIgc3Ryb2tlLXdpZHRoPSIwIiB0cmFuc2Zvcm09Im1hdHJpeCgxIDAgMCAtMSAwIDApIiBhcmlhLWhpZGRlbj0idHJ1ZSI+CiA8dXNlIHhsaW5rOmhyZWY9IiNFMS1NSkZSQUstNTAiIHg9IjAiIHk9IjAiPjwvdXNlPgogPHVzZSB4bGluazpocmVmPSIjRTEtTUpGUkFLLTJDIiB4PSI4MjgiIHk9IjAiPjwvdXNlPgogPHVzZSB4bGluazpocmVmPSIjRTEtTUpGUkFLLTUxIiB4PSIxNTIzIiB5PSIwIj48L3VzZT4KIDx1c2UgeGxpbms6aHJlZj0iI0UxLU1KRlJBSy0yQyIgeD0iMjM1MSIgeT0iMCI+PC91c2U+CiA8dXNlIHhsaW5rOmhyZWY9IiNFMS1NSkZSQUstNTIiIHg9IjMwNDYiIHk9IjAiPjwvdXNlPgo8L2c+Cjwvc3ZnPg==" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.838ex;width:9ex;height:2.843ex alt="{\displaystyle {\mathfrak {P,\Q,\R}}}" data-moz-translations-id=16></span></p>
|
||
<table width=100%>
|
||
<tbody>
|
||
<tr>
|
||
<td valign=center style=text-align:left width=5%></td>
|
||
<td align=center><span class=mwe-math-element><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=0><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\mathfrak {P}}={\frac {{\mathfrak {A}}\varrho ^{2}}{\left(r^{2}-A^{2}v^{2}\varrho ^{2}\right)^{3}}},\quad {\mathfrak {Q}}=-{\frac {{\mathfrak {A}}xy}{\left(r^{2}-A^{2}v^{2}\varrho ^{2}\right)^{3}}},}" data-moz-translations-id=1><semantics data-moz-translations-id=2>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=3>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=4>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mi mathvariant=fraktur data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
P
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=9>
|
||
<mfrac data-moz-translations-id=10>
|
||
<mrow data-moz-translations-id=11>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=12>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=13>
|
||
<mi mathvariant=fraktur data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<msup data-moz-translations-id=15>
|
||
<mi data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=17>
|
||
<mn data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
<msup data-moz-translations-id=19>
|
||
<mrow data-moz-translations-id=20>
|
||
<mo data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=22>
|
||
<msup data-moz-translations-id=23>
|
||
<mi data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=25>
|
||
<mn data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<msup data-moz-translations-id=28>
|
||
<mi data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=30>
|
||
<mn data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=32>
|
||
<mi data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=34>
|
||
<mn data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=36>
|
||
<mi data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=38>
|
||
<mn data-moz-translations-id=39><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
<mo data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=41>
|
||
<mn data-moz-translations-id=42><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
3
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
<mspace width=1em data-moz-translations-id=44></mspace>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=45>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=46>
|
||
<mi mathvariant=fraktur data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
Q
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=48><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mo data-moz-translations-id=49><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=50>
|
||
<mfrac data-moz-translations-id=51>
|
||
<mrow data-moz-translations-id=52>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=53>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=54>
|
||
<mi mathvariant=fraktur data-moz-translations-id=55><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mi data-moz-translations-id=56><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=57><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
<msup data-moz-translations-id=58>
|
||
<mrow data-moz-translations-id=59>
|
||
<mo data-moz-translations-id=60><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=61>
|
||
<msup data-moz-translations-id=62>
|
||
<mi data-moz-translations-id=63><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=64>
|
||
<mn data-moz-translations-id=65><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=66><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<msup data-moz-translations-id=67>
|
||
<mi data-moz-translations-id=68><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=69>
|
||
<mn data-moz-translations-id=70><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=71>
|
||
<mi data-moz-translations-id=72><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=73>
|
||
<mn data-moz-translations-id=74><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=75>
|
||
<mi data-moz-translations-id=76><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=77>
|
||
<mn data-moz-translations-id=78><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
<mo data-moz-translations-id=79><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=80>
|
||
<mn data-moz-translations-id=81><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
3
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=82><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=83><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\mathfrak {P}}={\frac {{\mathfrak {A}}\varrho ^{2}}{\left(r^{2}-A^{2}v^{2}\ varrho ^{2}\right)^{3}}},\quad {\mathfrak {Q}}=-{\frac {{\mathfrak {A}}xy}{\left(r^{2}-A ^{2}v^{2}\varrho ^{2}\right)^{3}}},}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="47.611ex" height="7.009ex" style="vertical-align: -3.171ex;" viewBox="0 -1652.5 20499.2 3017.9" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\mathfrak {P}}={\frac {{\mathfrak {A}}\varrho ^{2}}{\left(r^{2}-A^{2}v^{2}\varrho ^{2}\right)^{3}}},\quad {\mathfrak {Q}}=-{\frac {{\mathfrak {A}}xy}{\left(r^{2}-A^{2}v^{2}\varrho ^{2}\right)^{3}}},}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJFRAK-50" d="M112 339Q112 354 91 380T49 438T28 497Q28 565 95 628T242 692Q261 692 277 689T307 682T331 670T351 655T367 637T379 619T388 600T395 582T401 565T405 550Q409 554 422 570T453 603T500 641Q573 692 637 692Q656 692 670 686T692 672T705 647T713 618T718 584Q720 568 721 562T728 546T742 534T768 530Q776 531 782 532T791 535T796 536Q799 536 804 521Q801 519 789 513T764 499T738 480Q697 447 680 414Q677 407 677 396Q677 370 713 312T750 210Q750 125 686 57T560 -11Q540 -11 475 13L410 37V31Q410 -9 412 -50T417 -118T420 -150Q419 -150 373 -184T326 -218L305 -208Q305 -207 307 -196T314 -165T322 -116T328 -46T331 43V63L318 66Q270 80 250 80Q233 80 213 70Q183 57 138 -3L128 -16L118 5L125 20Q193 154 282 154Q309 154 331 146V287Q331 444 327 469Q321 522 301 560Q284 590 251 611T184 633Q146 633 119 607T92 550Q92 539 94 534Q100 516 143 460T186 386Q186 366 170 336T119 281Q102 264 70 250L49 260L56 266Q64 271 72 278T90 296T106 317T112 339ZM602 345Q602 357 608 371T622 397T642 421T661 441T678 456L686 462Q663 473 652 486T639 512T634 553Q631 594 624 608T593 631Q587 632 567 632Q539 632 497 600T416 497L410 484V122L467 103Q481 99 502 92T533 82T557 75T578 69T594 66T610 64Q647 64 672 87T697 144Q697 180 650 250T602 345Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJFRAK-41" d="M22 505Q22 563 94 624T271 685H280Q416 685 443 560Q447 535 447 504Q444 414 405 330L399 319L229 155Q233 154 241 153T253 150T265 145T281 135T301 119T328 93L357 64L402 92Q438 116 473 137L500 154V339Q500 528 495 593V601L559 649Q621 696 624 696L638 686L629 677Q599 650 593 638Q582 614 581 504Q580 490 580 443Q580 314 584 238Q584 235 584 224T584 210T585 199T586 187T588 176T591 164T595 152T601 137T609 121Q630 77 640 77Q661 77 703 101Q704 95 706 90L707 86V84L636 29Q618 15 601 2T574 -19T564 -25L500 121Q499 121 399 48L299 -26Q298 -26 291 -15T272 11T245 42T209 69T165 80Q120 80 58 43L48 37L40 42L32 48L122 117Q196 173 241 211Q319 280 343 327T368 447Q368 535 317 582Q264 633 199 633Q155 633 122 605T86 542Q86 518 133 467T181 387Q181 348 140 309Q113 281 73 260L64 255L50 265L59 273Q112 307 112 345Q112 363 90 387T45 441T22 505Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-72" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMATHI-76" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJMAIN-33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
<path stroke-width="1" id="E1-MJFRAK-51" d="M428 596Q412 596 386 595T350 593Q313 593 291 605T268 638Q268 644 269 648T274 658T284 669T301 689T326 718L336 729H343Q351 729 351 728Q342 710 342 703Q342 683 382 676T493 662T604 643Q744 592 744 398Q744 299 708 213T646 104L603 68L614 55Q670 -5 710 -5Q726 -5 744 1T772 14L781 20Q782 20 782 7V-6L771 -13Q673 -69 665 -69L647 -63Q552 -30 514 8H512Q509 8 500 3T471 -9T428 -23Q405 -27 377 -27Q305 -24 228 6T124 36Q69 36 27 -16Q23 -13 19 -8L11 0L27 20Q93 102 109 109Q145 123 166 150T187 207Q187 244 134 318T80 412Q80 454 112 498T176 566T213 590Q216 590 224 585L234 580L225 573Q216 566 207 557T188 536T172 511T165 484Q165 448 213 368T261 259Q261 241 252 219T228 179T200 146T176 122L167 112Q170 111 174 111Q188 110 233 91T339 55T453 37Q508 37 556 68T626 152Q655 219 655 328Q655 543 532 582Q484 596 428 596Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMATHI-79" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJFRAK-50" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1106" y="0"></use>
<g transform="translate(2162,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="6596" height="60" x="0" y="220"></rect>
<g transform="translate(2453,714)">
 <use xlink:href="#E1-MJFRAK-41" x="0" y="0"></use>
<g transform="translate(718,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="513"></use>
</g>
</g>
<g transform="translate(60,-978)">
 <use xlink:href="#E1-MJMAIN-28"></use>
<g transform="translate(389,0)">
 <use xlink:href="#E1-MJMATHI-72" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="638" y="408"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="1127" y="0"></use>
<g transform="translate(2128,0)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1061" y="408"></use>
</g>
<g transform="translate(3332,0)">
 <use xlink:href="#E1-MJMATHI-76" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="686" y="408"></use>
</g>
<g transform="translate(4272,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-29" x="5633" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-33" x="8517" y="689"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="8999" y="0"></use>
 <use xlink:href="#E1-MJFRAK-51" x="10444" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="11549" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="12605" y="0"></use>
<g transform="translate(13384,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="6596" height="60" x="0" y="220"></rect>
<g transform="translate(2403,725)">
 <use xlink:href="#E1-MJFRAK-41" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="718" y="0"></use>
 <use xlink:href="#E1-MJMATHI-79" x="1291" y="0"></use>
</g>
<g transform="translate(60,-978)">
 <use xlink:href="#E1-MJMAIN-28"></use>
<g transform="translate(389,0)">
 <use xlink:href="#E1-MJMATHI-72" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="638" y="408"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="1127" y="0"></use>
<g transform="translate(2128,0)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1061" y="408"></use>
</g>
<g transform="translate(3332,0)">
 <use xlink:href="#E1-MJMATHI-76" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="686" y="408"></use>
</g>
<g transform="translate(4272,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-29" x="5633" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-33" x="8517" y="689"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="20220" y="0"></use>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-3.171ex;width:47.611ex;height:7.009ex alt="{\displaystyle {\mathfrak {P}}={\frac {{\mathfrak {A}}\varrho ^{2}}{\left(r^{2}-A^{2}v^{2}\ varrho ^{2}\right)^{3}}},\quad {\mathfrak {Q}}=-{\frac {{\mathfrak {A}}xy}{\left(r^{2}-A ^{2}v^{2}\varrho ^{2}\right)^{3}}},}" data-moz-translations-id=84></span> <p><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\mathfrak {R}}=-{\frac {{\mathfrak {A}}xz}{\left(r^{2}-A^{2}v^{2}\varrho ^{2}\right)^{3}}},}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=7>
|
||
<mi mathvariant=fraktur data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
R
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mo data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=11>
|
||
<mfrac data-moz-translations-id=12>
|
||
<mrow data-moz-translations-id=13>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=14>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=15>
|
||
<mi mathvariant=fraktur data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mi data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
<msup data-moz-translations-id=19>
|
||
<mrow data-moz-translations-id=20>
|
||
<mo data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=22>
|
||
<msup data-moz-translations-id=23>
|
||
<mi data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=25>
|
||
<mn data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<msup data-moz-translations-id=28>
|
||
<mi data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=30>
|
||
<mn data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=32>
|
||
<mi data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=34>
|
||
<mn data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=36>
|
||
<mi data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=38>
|
||
<mn data-moz-translations-id=39><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
<mo data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=41>
|
||
<mn data-moz-translations-id=42><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
3
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=44><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\mathfrak {R}}=-{\frac {{\mathfrak {A}}xz}{\left(r^{2}-A^{2}v^{2}\varrho ^{2 }\right)^{3}}},}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="23.356ex" height="6.676ex" style="vertical-align: -3.171ex;" viewBox="0 -1508.9 10056 2874.4" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\mathfrak {R}}=-{\frac {{\mathfrak {A}}xz}{\left(r^{2}-A^{2}v^{2}\varrho ^{2}\right)^{3}}},}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJFRAK-52" d="M27 496Q31 569 102 627T234 685Q236 685 241 685T251 686Q287 686 318 672T367 638T399 598T418 564L423 550Q424 554 434 567T463 601T505 639T561 671T626 685Q672 685 688 659T710 572Q713 533 721 523T766 513Q781 513 787 514T794 516Q796 512 798 509T801 504T802 501T787 493Q702 461 624 401L607 389Q655 383 688 358L697 352V342Q699 330 699 297Q704 209 710 173T734 103Q751 69 765 69Q769 69 806 83L824 90V74Q823 73 759 24T693 -26Q692 -26 660 32L628 90L629 111Q631 159 631 177Q631 278 614 300Q584 340 523 340Q500 340 467 333T431 325Q429 325 429 322Q428 321 426 308T420 275T410 230T392 178T366 125L358 112L342 99Q306 70 269 38T213 -10T193 -26Q192 -26 163 0T116 26Q82 26 50 -8L42 -16L35 -8L27 0L35 10Q43 21 58 38T104 80T158 106Q179 106 218 65L235 48Q238 48 255 60T295 99T329 158Q352 231 352 359Q352 555 242 614Q210 628 187 628Q140 628 116 600T91 548Q91 522 138 464T185 382V376Q185 345 158 313T103 263L76 246Q74 244 64 253L54 260L65 267Q91 285 100 302Q111 318 111 337Q111 355 69 410T27 496ZM562 628Q504 628 443 507L435 491L436 479Q437 471 437 446Q437 396 432 351L529 389L602 426Q673 462 673 463H672Q644 470 637 483T622 553Q608 628 562 628Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJFRAK-41" d="M22 505Q22 563 94 624T271 685H280Q416 685 443 560Q447 535 447 504Q444 414 405 330L399 319L229 155Q233 154 241 153T253 150T265 145T281 135T301 119T328 93L357 64L402 92Q438 116 473 137L500 154V339Q500 528 495 593V601L559 649Q621 696 624 696L638 686L629 677Q599 650 593 638Q582 614 581 504Q580 490 580 443Q580 314 584 238Q584 235 584 224T584 210T585 199T586 187T588 176T591 164T595 152T601 137T609 121Q630 77 640 77Q661 77 703 101Q704 95 706 90L707 86V84L636 29Q618 15 601 2T574 -19T564 -25L500 121Q499 121 399 48L299 -26Q298 -26 291 -15T272 11T245 42T209 69T165 80Q120 80 58 43L48 37L40 42L32 48L122 117Q196 173 241 211Q319 280 343 327T368 447Q368 535 317 582Q264 633 199 633Q155 633 122 605T86 542Q86 518 133 467T181 387Q181 348 140 309Q113 281 73 260L64 255L50 265L59 273Q112 307 112 345Q112 363 90 387T45 441T22 505Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-72" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMATHI-76" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJMAIN-33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJFRAK-52" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1106" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="2162" y="0"></use>
<g transform="translate(2941,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="6596" height="60" x="0" y="220"></rect>
<g transform="translate(2418,676)">
 <use xlink:href="#E1-MJFRAK-41" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="718" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="1291" y="0"></use>
</g>
<g transform="translate(60,-978)">
 <use xlink:href="#E1-MJMAIN-28"></use>
<g transform="translate(389,0)">
 <use xlink:href="#E1-MJMATHI-72" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="638" y="408"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="1127" y="0"></use>
<g transform="translate(2128,0)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1061" y="408"></use>
</g>
<g transform="translate(3332,0)">
 <use xlink:href="#E1-MJMATHI-76" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="686" y="408"></use>
</g>
<g transform="translate(4272,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-29" x="5633" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-33" x="8517" y="689"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="9777" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-3.171ex;width:23.356ex;height:6.676ex alt="{\displaystyle {\mathfrak {R}}=-{\frac {{\mathfrak {A}}xz}{\left(r^{2}-A^{2}v^{2}\varrho ^{2 }\right)^{3}}},}" data-moz-translations-id=45></span><p><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\mathfrak {A}}=e^{2}vA\left(1-A^{2}v^{2}\right).}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=7>
|
||
<mi mathvariant=fraktur data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<msup data-moz-translations-id=10>
|
||
<mi data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=12>
|
||
<mn data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow data-moz-translations-id=16>
|
||
<mo data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=18>
|
||
<mn data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<msup data-moz-translations-id=21>
|
||
<mi data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=23>
|
||
<mn data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=25>
|
||
<mi data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=27>
|
||
<mn data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
<mo data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mo data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
.
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\mathfrak {A}}=e^{2}vA\left(1-A^{2}v^{2}\right).}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="22.309ex" height="3.343ex" style="vertical-align: -1.005ex;" viewBox="0 -1006.6 9605.1 1439.2" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\mathfrak {A}}=e^{2}vA\left(1-A^{2}v^{2}\right).}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJFRAK-41" d="M22 505Q22 563 94 624T271 685H280Q416 685 443 560Q447 535 447 504Q444 414 405 330L399 319L229 155Q233 154 241 153T253 150T265 145T281 135T301 119T328 93L357 64L402 92Q438 116 473 137L500 154V339Q500 528 495 593V601L559 649Q621 696 624 696L638 686L629 677Q599 650 593 638Q582 614 581 504Q580 490 580 443Q580 314 584 238Q584 235 584 224T584 210T585 199T586 187T588 176T591 164T595 152T601 137T609 121Q630 77 640 77Q661 77 703 101Q704 95 706 90L707 86V84L636 29Q618 15 601 2T574 -19T564 -25L500 121Q499 121 399 48L299 -26Q298 -26 291 -15T272 11T245 42T209 69T165 80Q120 80 58 43L48 37L40 42L32 48L122 117Q196 173 241 211Q319 280 343 327T368 447Q368 535 317 582Q264 633 199 633Q155 633 122 605T86 542Q86 518 133 467T181 387Q181 348 140 309Q113 281 73 260L64 255L50 265L59 273Q112 307 112 345Q112 363 90 387T45 441T22 505Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMATHI-65" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-76" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ1-28" d="M152 251Q152 646 388 850H416Q422 844 422 841Q422 837 403 816T357 753T302 649T255 482T236 250Q236 124 255 19T301 -147T356 -251T403 -315T422 -340Q422 -343 416 -349H388Q359 -325 332 -296T271 -213T212 -97T170 56T152 251Z"></path>
<path stroke-width="1" id="E1-MJSZ1-29" d="M305 251Q305 -145 69 -349H56Q43 -349 39 -347T35 -338Q37 -333 60 -307T108 -239T160 -136T204 27T221 250T204 473T160 636T108 740T60 807T35 839Q35 850 50 850H56H69Q197 743 256 566Q305 425 305 251Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJFRAK-41" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="996" y="0"></use>
<g transform="translate(2052,0)">
 <use xlink:href="#E1-MJMATHI-65" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="659" y="583"></use>
</g>
 <use xlink:href="#E1-MJMATHI-76" x="2972" y="0"></use>
 <use xlink:href="#E1-MJMATHI-41" x="3458" y="0"></use>
<g transform="translate(4375,0)">
 <use xlink:href="#E1-MJSZ1-28"></use>
<g transform="translate(458,0)">
 <use xlink:href="#E1-MJMAIN-31" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="722" y="0"></use>
<g transform="translate(1723,0)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1061" y="583"></use>
</g>
<g transform="translate(2927,0)">
 <use xlink:href="#E1-MJMATHI-76" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="686" y="583"></use>
</g>
</g>
 <use xlink:href="#E1-MJSZ1-29" x="4325" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2E" x="9326" y="0"></use>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-1.005ex;width:22.309ex;height:3.343ex alt="{\displaystyle {\mathfrak {A}}=e^{2}vA\left(1-A^{2}v^{2}\right).}" data-moz-translations-id=32></span></p></td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Let's sit again</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \alpha =-{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }},\quad \beta ={\frac {\partial \psi }{\partial x}}{\frac {y}{\varrho ^{2}}}+\eta z,\quad \gamma ={\frac {\partial \psi }{\partial x}}{\frac {z}{\varrho ^{2}}}-\eta y,}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mo data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=9>
|
||
<mfrac data-moz-translations-id=10>
|
||
<mn data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=13>
|
||
<mfrac data-moz-translations-id=14>
|
||
<mrow data-moz-translations-id=15>
|
||
<mi mathvariant=normal data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=18>
|
||
<mi mathvariant=normal data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
<mspace width=1em data-moz-translations-id=22></mspace>
|
||
<mi data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
β</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=25>
|
||
<mfrac data-moz-translations-id=26>
|
||
<mrow data-moz-translations-id=27>
|
||
<mi mathvariant=normal data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=30>
|
||
<mi mathvariant=normal data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=33>
|
||
<mfrac data-moz-translations-id=34>
|
||
<mi data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
<msup data-moz-translations-id=36>
|
||
<mi data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=38>
|
||
<mn data-moz-translations-id=39><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
η</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=42><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
<mspace width=1em data-moz-translations-id=44></mspace>
|
||
<mi data-moz-translations-id=45><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=46><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=47>
|
||
<mfrac data-moz-translations-id=48>
|
||
<mrow data-moz-translations-id=49>
|
||
<mi mathvariant=normal data-moz-translations-id=50><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=51><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=52>
|
||
<mi mathvariant=normal data-moz-translations-id=53><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=54><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=55>
|
||
<mfrac data-moz-translations-id=56>
|
||
<mi data-moz-translations-id=57><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<msup data-moz-translations-id=58>
|
||
<mi data-moz-translations-id=59><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=60>
|
||
<mn data-moz-translations-id=61><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=62><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=63><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
η</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=64><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=65><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=66><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \alpha =-{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }},\quad \beta ={\frac {\partial \psi }{ \partial x}}{\frac {y}{\varrho ^{2}}}+\eta z,\quad \gamma ={\frac {\partial \psi }{\partial x}}{\frac {z }{\varrho ^{2}}}-\eta y,}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="52.033ex" height="6.176ex" style="vertical-align: -2.505ex;" viewBox="0 -1580.7 22403.2 2659.1" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle \alpha =-{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }},\quad \beta ={\frac {\partial \psi }{\partial x}}{\frac {y}{\varrho ^{2}}}+\eta z,\quad \gamma ={\frac {\partial \psi }{\partial x}}{\frac {z}{\varrho ^{2}}}-\eta y,}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-3B1" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C8" d="M161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B2" d="M29 -194Q23 -188 23 -186Q23 -183 102 134T186 465Q208 533 243 584T309 658Q365 705 429 705H431Q493 705 533 667T573 570Q573 465 469 396L482 383Q533 332 533 252Q533 139 448 65T257 -10Q227 -10 203 -2T165 17T143 40T131 59T126 65L62 -188Q60 -194 42 -194H29ZM353 431Q392 431 427 419L432 422Q436 426 439 429T449 439T461 453T472 471T484 495T493 524T501 560Q503 569 503 593Q503 611 502 616Q487 667 426 667Q384 667 347 643T286 582T247 514T224 455Q219 439 186 308T152 168Q151 163 151 147Q151 99 173 68Q204 26 260 26Q302 26 349 51T425 137Q441 171 449 214T457 279Q457 337 422 372Q380 358 347 358H337Q258 358 258 389Q258 396 261 403Q275 431 353 431Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMATHI-79" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B7" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q156 442 175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336V326Q503 302 439 53Q381 -182 377 -189Q364 -216 332 -216Q319 -216 310 -208T299 -186Q299 -177 358 57L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B3" d="M31 249Q11 249 11 258Q11 275 26 304T66 365T129 418T206 441Q233 441 239 440Q287 429 318 386T371 255Q385 195 385 170Q385 166 386 166L398 193Q418 244 443 300T486 391T508 430Q510 431 524 431H537Q543 425 543 422Q543 418 522 378T463 251T391 71Q385 55 378 6T357 -100Q341 -165 330 -190T303 -216Q286 -216 286 -188Q286 -138 340 32L346 51L347 69Q348 79 348 100Q348 257 291 317Q251 355 196 355Q148 355 108 329T51 260Q49 251 47 251Q45 249 31 249Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMATHI-3B1" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="918" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="1974" y="0"></use>
<g transform="translate(2753,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="637" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="68" y="676"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="60" y="-686"></use>
</g>
</g>
<g transform="translate(3630,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(127,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="5209" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B2" x="6654" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="7506" y="0"></use>
<g transform="translate(8562,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(99,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
<g transform="translate(10141,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1091" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMATHI-79" x="296" y="725"></use>
<g transform="translate(60,-780)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="11694" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B7" x="12695" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="13199" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2C" x="13667" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B3" x="15112" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="15934" y="0"></use>
<g transform="translate(16990,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(99,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
<g transform="translate(18569,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1091" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMATHI-7A" x="311" y="676"></use>
<g transform="translate(60,-780)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="20122" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B7" x="21123" y="0"></use>
 <use xlink:href="#E1-MJMATHI-79" x="21627" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2C" x="22124" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:52.033ex;height:6.176ex alt="{\displaystyle \alpha =-{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }},\quad \beta ={\frac {\partial \psi }{ \partial x}}{\frac {y}{\varrho ^{2}}}+\eta z,\quad \gamma ={\frac {\partial \psi }{\partial x}}{\frac {z }{\varrho ^{2}}}-\eta y,}" data-moz-translations-id=67></span><span class=mwe-math-element data-moz-translations-id=68><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=69><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\mathfrak {S}}={\frac {\mathfrak {A}}{\left(r^{2}-A^{2}v^{2}\varrho ^{2}\right)^{3}}}.}" data-moz-translations-id=70><semantics data-moz-translations-id=71>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=72>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=73>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=74>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=75>
|
||
<mi mathvariant=fraktur data-moz-translations-id=76><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
S
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=77><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=78>
|
||
<mfrac data-moz-translations-id=79>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=80>
|
||
<mi mathvariant=fraktur data-moz-translations-id=81><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
</mrow>
|
||
<msup data-moz-translations-id=82>
|
||
<mrow data-moz-translations-id=83>
|
||
<mo data-moz-translations-id=84><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=85>
|
||
<msup data-moz-translations-id=86>
|
||
<mi data-moz-translations-id=87><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
r
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=88>
|
||
<mn data-moz-translations-id=89><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=90><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<msup data-moz-translations-id=91>
|
||
<mi data-moz-translations-id=92><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=93>
|
||
<mn data-moz-translations-id=94><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=95>
|
||
<mi data-moz-translations-id=96><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=97>
|
||
<mn data-moz-translations-id=98><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=99>
|
||
<mi data-moz-translations-id=100><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=101>
|
||
<mn data-moz-translations-id=102><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
<mo data-moz-translations-id=103><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=104>
|
||
<mn data-moz-translations-id=105><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
3
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=106><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
.
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=107><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\mathfrak {S}}={\frac {\mathfrak {A}}{\left(r^{2}-A^{2}v^{2}\varrho ^{2}\right) ^{3}}}.}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="21.55ex" height="6.676ex" style="vertical-align: -3.171ex;" viewBox="0 -1508.9 9278.5 2874.4" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\mathfrak {S}}={\frac {\mathfrak {A}}{\left(r^{2}-A^{2}v^{2}\varrho ^{2}\right)^{3}}}.}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJFRAK-53" d="M750 276Q750 141 645 57T378 -27Q224 -27 146 67Q66 163 66 307Q66 361 80 412T127 515T217 609T356 676L388 684L420 692L442 681Q545 625 586 608T654 591Q688 591 710 609T737 646L742 665Q742 665 756 654L752 642Q736 594 706 566T621 515L607 510Q580 513 528 542T421 599T335 627Q272 627 214 569Q139 500 139 373Q139 308 159 247T217 136T316 56T455 26Q520 26 566 43T634 90T666 148T676 207Q676 264 649 297T580 338Q574 339 552 339Q516 339 442 325T327 310H324Q303 310 290 312T259 328T232 369Q230 375 230 390Q230 426 259 461Q286 488 338 507Q351 498 351 495L346 492Q342 490 339 488T330 482T320 473T312 462T305 447T303 428Q303 368 366 368Q393 368 487 388T613 409Q656 409 696 385T748 306Q750 294 750 276Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJFRAK-41" d="M22 505Q22 563 94 624T271 685H280Q416 685 443 560Q447 535 447 504Q444 414 405 330L399 319L229 155Q233 154 241 153T253 150T265 145T281 135T301 119T328 93L357 64L402 92Q438 116 473 137L500 154V339Q500 528 495 593V601L559 649Q621 696 624 696L638 686L629 677Q599 650 593 638Q582 614 581 504Q580 490 580 443Q580 314 584 238Q584 235 584 224T584 210T585 199T586 187T588 176T591 164T595 152T601 137T609 121Q630 77 640 77Q661 77 703 101Q704 95 706 90L707 86V84L636 29Q618 15 601 2T574 -19T564 -25L500 121Q499 121 399 48L299 -26Q298 -26 291 -15T272 11T245 42T209 69T165 80Q120 80 58 43L48 37L40 42L32 48L122 117Q196 173 241 211Q319 280 343 327T368 447Q368 535 317 582Q264 633 199 633Q155 633 122 605T86 542Q86 518 133 467T181 387Q181 348 140 309Q113 281 73 260L64 255L50 265L59 273Q112 307 112 345Q112 363 90 387T45 441T22 505Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-72" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMATHI-76" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJMAIN-33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJFRAK-53" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1107" y="0"></use>
<g transform="translate(2163,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="6596" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJFRAK-41" x="2938" y="676"></use>
<g transform="translate(60,-978)">
 <use xlink:href="#E1-MJMAIN-28"></use>
<g transform="translate(389,0)">
 <use xlink:href="#E1-MJMATHI-72" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="638" y="408"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="1127" y="0"></use>
<g transform="translate(2128,0)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1061" y="408"></use>
</g>
<g transform="translate(3332,0)">
 <use xlink:href="#E1-MJMATHI-76" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="686" y="408"></use>
</g>
<g transform="translate(4272,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-29" x="5633" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-33" x="8517" y="689"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2E" x="9000" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-3.171ex;width:21.55ex;height:6.676ex alt="{\displaystyle {\mathfrak {S}}={\frac {\mathfrak {A}}{\left(r^{2}-A^{2}v^{2}\varrho ^{2}\right) ^{3}}}.}" data-moz-translations-id=108></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>so we get from equations (1)</font></font></p>
|
||
<table width=100%>
|
||
<tbody>
|
||
<tr>
|
||
<td valign=center style=text-align:left width=5%></td>
|
||
<td align=center><span class=mwe-math-element><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=0><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle 0={\frac {\partial P}{\partial \varrho }}+A\left(-v{\frac {\partial {\mathfrak {S}}}{\partial x}}x\varrho -\varrho v{\mathfrak {S}}+{\frac {\partial \psi }{\partial \varrho }}\left[3{\mathfrak {S}}+x{\frac {\partial {\mathfrak {S}}}{\partial x}}+\varrho {\frac {\partial {\mathfrak {S}}}{\partial \varrho }}\right]\right),}" data-moz-translations-id=1><semantics data-moz-translations-id=2>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=3>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=4>
|
||
<mn data-moz-translations-id=5><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
0
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=7>
|
||
<mfrac data-moz-translations-id=8>
|
||
<mrow data-moz-translations-id=9>
|
||
<mi mathvariant=normal data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
P
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=12>
|
||
<mi mathvariant=normal data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow data-moz-translations-id=17>
|
||
<mo data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=19>
|
||
<mo data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=22>
|
||
<mfrac data-moz-translations-id=23>
|
||
<mrow data-moz-translations-id=24>
|
||
<mi mathvariant=normal data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=26>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=27>
|
||
<mi mathvariant=fraktur data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
S
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=29>
|
||
<mi mathvariant=normal data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mi data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=37>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=38>
|
||
<mi mathvariant=fraktur data-moz-translations-id=39><font style=vertical-align:inherit data-moz-translations-id=40><font style=vertical-align:inherit data-moz-translations-id=41>
|
||
S
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=42><font style=vertical-align:inherit data-moz-translations-id=43><font style=vertical-align:inherit data-moz-translations-id=44>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=45>
|
||
<mfrac data-moz-translations-id=46>
|
||
<mrow data-moz-translations-id=47>
|
||
<mi mathvariant=normal data-moz-translations-id=48><font style=vertical-align:inherit data-moz-translations-id=49><font style=vertical-align:inherit data-moz-translations-id=50>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=51><font style=vertical-align:inherit data-moz-translations-id=52><font style=vertical-align:inherit data-moz-translations-id=53>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=54>
|
||
<mi mathvariant=normal data-moz-translations-id=55><font style=vertical-align:inherit data-moz-translations-id=56><font style=vertical-align:inherit data-moz-translations-id=57>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=58><font style=vertical-align:inherit data-moz-translations-id=59><font style=vertical-align:inherit data-moz-translations-id=60>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=61>
|
||
<mo data-moz-translations-id=62><font style=vertical-align:inherit data-moz-translations-id=63><font style=vertical-align:inherit data-moz-translations-id=64>
|
||
[
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=65>
|
||
<mn data-moz-translations-id=66><font style=vertical-align:inherit data-moz-translations-id=67><font style=vertical-align:inherit data-moz-translations-id=68>
|
||
3
|
||
</font></font></mn>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=69>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=70>
|
||
<mi mathvariant=fraktur data-moz-translations-id=71><font style=vertical-align:inherit data-moz-translations-id=72><font style=vertical-align:inherit data-moz-translations-id=73>
|
||
S
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=74><font style=vertical-align:inherit data-moz-translations-id=75><font style=vertical-align:inherit data-moz-translations-id=76>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=77><font style=vertical-align:inherit data-moz-translations-id=78><font style=vertical-align:inherit data-moz-translations-id=79>
|
||
x
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=80>
|
||
<mfrac data-moz-translations-id=81>
|
||
<mrow data-moz-translations-id=82>
|
||
<mi mathvariant=normal data-moz-translations-id=83><font style=vertical-align:inherit data-moz-translations-id=84><font style=vertical-align:inherit data-moz-translations-id=85>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=86>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=87>
|
||
<mi mathvariant=fraktur data-moz-translations-id=88><font style=vertical-align:inherit data-moz-translations-id=89><font style=vertical-align:inherit data-moz-translations-id=90>
|
||
S
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=91>
|
||
<mi mathvariant=normal data-moz-translations-id=92><font style=vertical-align:inherit data-moz-translations-id=93><font style=vertical-align:inherit data-moz-translations-id=94>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=95><font style=vertical-align:inherit data-moz-translations-id=96><font style=vertical-align:inherit data-moz-translations-id=97>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=98><font style=vertical-align:inherit data-moz-translations-id=99><font style=vertical-align:inherit data-moz-translations-id=100>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=101><font style=vertical-align:inherit data-moz-translations-id=102><font style=vertical-align:inherit data-moz-translations-id=103>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=104>
|
||
<mfrac data-moz-translations-id=105>
|
||
<mrow data-moz-translations-id=106>
|
||
<mi mathvariant=normal data-moz-translations-id=107><font style=vertical-align:inherit data-moz-translations-id=108><font style=vertical-align:inherit data-moz-translations-id=109>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=110>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=111>
|
||
<mi mathvariant=fraktur data-moz-translations-id=112><font style=vertical-align:inherit data-moz-translations-id=113><font style=vertical-align:inherit data-moz-translations-id=114>
|
||
S
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=115>
|
||
<mi mathvariant=normal data-moz-translations-id=116><font style=vertical-align:inherit data-moz-translations-id=117><font style=vertical-align:inherit data-moz-translations-id=118>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=119><font style=vertical-align:inherit data-moz-translations-id=120><font style=vertical-align:inherit data-moz-translations-id=121>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=122><font style=vertical-align:inherit data-moz-translations-id=123><font style=vertical-align:inherit data-moz-translations-id=124>
|
||
]
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=125><font style=vertical-align:inherit data-moz-translations-id=126><font style=vertical-align:inherit data-moz-translations-id=127>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mo data-moz-translations-id=128><font style=vertical-align:inherit data-moz-translations-id=129><font style=vertical-align:inherit data-moz-translations-id=130>
|
||
,
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=131><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle 0={\frac {\partial P}{\partial \varrho }}+A\left(-v{\frac {\partial {\mathfrak {S}}}{\partial x}}x\varrho -\varrho v{\mathfrak {S}}+{\frac {\partial \psi }{\partial \varrho }}\left[3{\mathfrak {S}}+x{\frac {\partial {\mathfrak {S}}}{\partial x}}+\varrho {\frac {\partial {\mathfrak {S}}}{\partial \varrho }}\right]\right),}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="63.044ex" height="6.176ex" style="vertical-align: -2.505ex;" viewBox="0 -1580.7 27143.8 2659.1" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle 0={\frac {\partial P}{\partial \varrho }}+A\left(-v{\frac {\partial {\mathfrak {S}}}{\partial x}}x\varrho -\varrho v{\mathfrak {S}}+{\frac {\partial \psi }{\partial \varrho }}\left[3{\mathfrak {S}}+x{\frac {\partial {\mathfrak {S}}}{\partial x}}+\varrho {\frac {\partial {\mathfrak {S}}}{\partial \varrho }}\right]\right),}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMATHI-50" d="M287 628Q287 635 230 637Q206 637 199 638T192 648Q192 649 194 659Q200 679 203 681T397 683Q587 682 600 680Q664 669 707 631T751 530Q751 453 685 389Q616 321 507 303Q500 302 402 301H307L277 182Q247 66 247 59Q247 55 248 54T255 50T272 48T305 46H336Q342 37 342 35Q342 19 335 5Q330 0 319 0Q316 0 282 1T182 2Q120 2 87 2T51 1Q33 1 33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM645 554Q645 567 643 575T634 597T609 619T560 635Q553 636 480 637Q463 637 445 637T416 636T404 636Q391 635 386 627Q384 621 367 550T332 412T314 344Q314 342 395 342H407H430Q542 342 590 392Q617 419 631 471T645 554Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-76" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path>
<path stroke-width="1" id="E1-MJFRAK-53" d="M750 276Q750 141 645 57T378 -27Q224 -27 146 67Q66 163 66 307Q66 361 80 412T127 515T217 609T356 676L388 684L420 692L442 681Q545 625 586 608T654 591Q688 591 710 609T737 646L742 665Q742 665 756 654L752 642Q736 594 706 566T621 515L607 510Q580 513 528 542T421 599T335 627Q272 627 214 569Q139 500 139 373Q139 308 159 247T217 136T316 56T455 26Q520 26 566 43T634 90T666 148T676 207Q676 264 649 297T580 338Q574 339 552 339Q516 339 442 325T327 310H324Q303 310 290 312T259 328T232 369Q230 375 230 390Q230 426 259 461Q286 488 338 507Q351 498 351 495L346 492Q342 490 339 488T330 482T320 473T312 462T305 447T303 428Q303 368 366 368Q393 368 487 388T613 409Q656 409 696 385T748 306Q750 294 750 276Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C8" d="M161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Z"></path>
<path stroke-width="1" id="E1-MJMAIN-5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path>
<path stroke-width="1" id="E1-MJMAIN-33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path>
<path stroke-width="1" id="E1-MJMAIN-5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path>
<path stroke-width="1" id="E1-MJSZ3-5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path>
<path stroke-width="1" id="E1-MJSZ3-5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMAIN-30" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="778" y="0"></use>
<g transform="translate(1834,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1439" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-50" x="567" y="0"></use>
</g>
<g transform="translate(177,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="3735" y="0"></use>
 <use xlink:href="#E1-MJMATHI-41" x="4736" y="0"></use>
<g transform="translate(5653,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
 <use xlink:href="#E1-MJMAIN-2212" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-76" x="778" y="0"></use>
<g transform="translate(1264,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1517" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-53" x="567" y="0"></use>
</g>
<g transform="translate(188,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMATHI-78" x="3021" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="3593" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="4333" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="5333" y="0"></use>
 <use xlink:href="#E1-MJMATHI-76" x="5851" y="0"></use>
 <use xlink:href="#E1-MJFRAK-53" x="6336" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2B" x="7388" y="0"></use>
<g transform="translate(8389,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(127,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
<g transform="translate(10135,0)">
 <use xlink:href="#E1-MJSZ3-5B"></use>
<g transform="translate(528,0)">
 <use xlink:href="#E1-MJMAIN-33" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-53" x="500" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2B" x="1552" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="2552" y="0"></use>
<g transform="translate(3125,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1517" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-53" x="567" y="0"></use>
</g>
<g transform="translate(188,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="5104" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="6105" y="0"></use>
<g transform="translate(6622,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1517" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-53" x="567" y="0"></use>
</g>
<g transform="translate(216,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-5D" x="8908" y="-1"></use>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="20308" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="26865" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:63.044ex;height:6.176ex alt="{\displaystyle 0={\frac {\partial P}{\partial \varrho }}+A\left(-v{\frac {\partial {\mathfrak {S}}}{\partial x}}x\varrho -\varrho v{\mathfrak {S}}+{\frac {\partial \psi }{\partial \varrho }}\left[3{\mathfrak {S}}+x{\frac {\partial {\mathfrak {S}}}{\partial x}}+\varrho {\frac {\partial {\mathfrak {S}}}{\partial \varrho }}\right]\right),}" data-moz-translations-id=132></span> <p><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle 0={\frac {\partial P}{\partial x}}+A\left(-v{\frac {\partial {\mathfrak {S}}}{\partial x}}\varrho ^{2}+{\frac {\partial \psi }{\partial x}}\left[3{\mathfrak {S}}+x{\frac {\partial {\mathfrak {S}}}{\partial z}}+\varrho {\frac {\partial {\mathfrak {S}}}{\partial \varrho }}\right]\right).}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mn data-moz-translations-id=6><font style=vertical-align:inherit data-moz-translations-id=7><font style=vertical-align:inherit data-moz-translations-id=8>
|
||
0
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=9><font style=vertical-align:inherit data-moz-translations-id=10><font style=vertical-align:inherit data-moz-translations-id=11>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=12>
|
||
<mfrac data-moz-translations-id=13>
|
||
<mrow data-moz-translations-id=14>
|
||
<mi mathvariant=normal data-moz-translations-id=15><font style=vertical-align:inherit data-moz-translations-id=16><font style=vertical-align:inherit data-moz-translations-id=17>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=18><font style=vertical-align:inherit data-moz-translations-id=19><font style=vertical-align:inherit data-moz-translations-id=20>
|
||
P
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=21>
|
||
<mi mathvariant=normal data-moz-translations-id=22><font style=vertical-align:inherit data-moz-translations-id=23><font style=vertical-align:inherit data-moz-translations-id=24>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=25><font style=vertical-align:inherit data-moz-translations-id=26><font style=vertical-align:inherit data-moz-translations-id=27>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=28><font style=vertical-align:inherit data-moz-translations-id=29><font style=vertical-align:inherit data-moz-translations-id=30>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=31><font style=vertical-align:inherit data-moz-translations-id=32><font style=vertical-align:inherit data-moz-translations-id=33>
|
||
A
|
||
</font></font></mi>
|
||
<mrow data-moz-translations-id=34>
|
||
<mo data-moz-translations-id=35><font style=vertical-align:inherit data-moz-translations-id=36><font style=vertical-align:inherit data-moz-translations-id=37>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=38>
|
||
<mo data-moz-translations-id=39><font style=vertical-align:inherit data-moz-translations-id=40><font style=vertical-align:inherit data-moz-translations-id=41>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=42><font style=vertical-align:inherit data-moz-translations-id=43><font style=vertical-align:inherit data-moz-translations-id=44>
|
||
v
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=45>
|
||
<mfrac data-moz-translations-id=46>
|
||
<mrow data-moz-translations-id=47>
|
||
<mi mathvariant=normal data-moz-translations-id=48><font style=vertical-align:inherit data-moz-translations-id=49><font style=vertical-align:inherit data-moz-translations-id=50>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=51>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=52>
|
||
<mi mathvariant=fraktur data-moz-translations-id=53><font style=vertical-align:inherit data-moz-translations-id=54><font style=vertical-align:inherit data-moz-translations-id=55>
|
||
S
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=56>
|
||
<mi mathvariant=normal data-moz-translations-id=57><font style=vertical-align:inherit data-moz-translations-id=58><font style=vertical-align:inherit data-moz-translations-id=59>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=60><font style=vertical-align:inherit data-moz-translations-id=61><font style=vertical-align:inherit data-moz-translations-id=62>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<msup data-moz-translations-id=63>
|
||
<mi data-moz-translations-id=64><font style=vertical-align:inherit data-moz-translations-id=65><font style=vertical-align:inherit data-moz-translations-id=66>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=67>
|
||
<mn data-moz-translations-id=68><font style=vertical-align:inherit data-moz-translations-id=69><font style=vertical-align:inherit data-moz-translations-id=70>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=71><font style=vertical-align:inherit data-moz-translations-id=72><font style=vertical-align:inherit data-moz-translations-id=73>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=74>
|
||
<mfrac data-moz-translations-id=75>
|
||
<mrow data-moz-translations-id=76>
|
||
<mi mathvariant=normal data-moz-translations-id=77><font style=vertical-align:inherit data-moz-translations-id=78><font style=vertical-align:inherit data-moz-translations-id=79>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=80><font style=vertical-align:inherit data-moz-translations-id=81><font style=vertical-align:inherit data-moz-translations-id=82>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=83>
|
||
<mi mathvariant=normal data-moz-translations-id=84><font style=vertical-align:inherit data-moz-translations-id=85><font style=vertical-align:inherit data-moz-translations-id=86>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=87><font style=vertical-align:inherit data-moz-translations-id=88><font style=vertical-align:inherit data-moz-translations-id=89>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=90>
|
||
<mo data-moz-translations-id=91><font style=vertical-align:inherit data-moz-translations-id=92><font style=vertical-align:inherit data-moz-translations-id=93>
|
||
[
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=94>
|
||
<mn data-moz-translations-id=95><font style=vertical-align:inherit data-moz-translations-id=96><font style=vertical-align:inherit data-moz-translations-id=97>
|
||
3
|
||
</font></font></mn>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=98>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=99>
|
||
<mi mathvariant=fraktur data-moz-translations-id=100><font style=vertical-align:inherit data-moz-translations-id=101><font style=vertical-align:inherit data-moz-translations-id=102>
|
||
S
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=103><font style=vertical-align:inherit data-moz-translations-id=104><font style=vertical-align:inherit data-moz-translations-id=105>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=106><font style=vertical-align:inherit data-moz-translations-id=107><font style=vertical-align:inherit data-moz-translations-id=108>
|
||
x
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=109>
|
||
<mfrac data-moz-translations-id=110>
|
||
<mrow data-moz-translations-id=111>
|
||
<mi mathvariant=normal data-moz-translations-id=112><font style=vertical-align:inherit data-moz-translations-id=113><font style=vertical-align:inherit data-moz-translations-id=114>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=115>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=116>
|
||
<mi mathvariant=fraktur data-moz-translations-id=117><font style=vertical-align:inherit data-moz-translations-id=118><font style=vertical-align:inherit data-moz-translations-id=119>
|
||
S
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=120>
|
||
<mi mathvariant=normal data-moz-translations-id=121><font style=vertical-align:inherit data-moz-translations-id=122><font style=vertical-align:inherit data-moz-translations-id=123>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=124><font style=vertical-align:inherit data-moz-translations-id=125><font style=vertical-align:inherit data-moz-translations-id=126>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=127><font style=vertical-align:inherit data-moz-translations-id=128><font style=vertical-align:inherit data-moz-translations-id=129>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=130><font style=vertical-align:inherit data-moz-translations-id=131><font style=vertical-align:inherit data-moz-translations-id=132>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=133>
|
||
<mfrac data-moz-translations-id=134>
|
||
<mrow data-moz-translations-id=135>
|
||
<mi mathvariant=normal data-moz-translations-id=136><font style=vertical-align:inherit data-moz-translations-id=137><font style=vertical-align:inherit data-moz-translations-id=138>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=139>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=140>
|
||
<mi mathvariant=fraktur data-moz-translations-id=141><font style=vertical-align:inherit data-moz-translations-id=142><font style=vertical-align:inherit data-moz-translations-id=143>
|
||
S
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=144>
|
||
<mi mathvariant=normal data-moz-translations-id=145><font style=vertical-align:inherit data-moz-translations-id=146><font style=vertical-align:inherit data-moz-translations-id=147>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=148><font style=vertical-align:inherit data-moz-translations-id=149><font style=vertical-align:inherit data-moz-translations-id=150>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=151><font style=vertical-align:inherit data-moz-translations-id=152><font style=vertical-align:inherit data-moz-translations-id=153>
|
||
]
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=154><font style=vertical-align:inherit data-moz-translations-id=155><font style=vertical-align:inherit data-moz-translations-id=156>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mo data-moz-translations-id=157><font style=vertical-align:inherit data-moz-translations-id=158><font style=vertical-align:inherit data-moz-translations-id=159>
|
||
.
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=160><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle 0={\frac {\partial P}{\partial x}}+A\left(-v{\frac {\partial {\mathfrak {S}}}{\partial x}}\varrho ^{ 2}+{\frac {\partial \psi }{\partial x}}\left[3{\mathfrak {S}}+x{\frac {\partial {\mathfrak {S}}}{\partial z} }+\varrho {\frac {\partial {\mathfrak {S}}}{\partial \varrho }}\right]\right).}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="55.672ex" height="6.176ex" style="vertical-align: -2.505ex;" viewBox="0 -1580.7 23969.7 2659.1" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle 0={\frac {\partial P}{\partial x}}+A\left(-v{\frac {\partial {\mathfrak {S}}}{\partial x}}\varrho ^{2}+{\frac {\partial \psi }{\partial x}}\left[3{\mathfrak {S}}+x{\frac {\partial {\mathfrak {S}}}{\partial z}}+\varrho {\frac {\partial {\mathfrak {S}}}{\partial \varrho }}\right]\right).}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMATHI-50" d="M287 628Q287 635 230 637Q206 637 199 638T192 648Q192 649 194 659Q200 679 203 681T397 683Q587 682 600 680Q664 669 707 631T751 530Q751 453 685 389Q616 321 507 303Q500 302 402 301H307L277 182Q247 66 247 59Q247 55 248 54T255 50T272 48T305 46H336Q342 37 342 35Q342 19 335 5Q330 0 319 0Q316 0 282 1T182 2Q120 2 87 2T51 1Q33 1 33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM645 554Q645 567 643 575T634 597T609 619T560 635Q553 636 480 637Q463 637 445 637T416 636T404 636Q391 635 386 627Q384 621 367 550T332 412T314 344Q314 342 395 342H407H430Q542 342 590 392Q617 419 631 471T645 554Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-76" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path>
<path stroke-width="1" id="E1-MJFRAK-53" d="M750 276Q750 141 645 57T378 -27Q224 -27 146 67Q66 163 66 307Q66 361 80 412T127 515T217 609T356 676L388 684L420 692L442 681Q545 625 586 608T654 591Q688 591 710 609T737 646L742 665Q742 665 756 654L752 642Q736 594 706 566T621 515L607 510Q580 513 528 542T421 599T335 627Q272 627 214 569Q139 500 139 373Q139 308 159 247T217 136T316 56T455 26Q520 26 566 43T634 90T666 148T676 207Q676 264 649 297T580 338Q574 339 552 339Q516 339 442 325T327 310H324Q303 310 290 312T259 328T232 369Q230 375 230 390Q230 426 259 461Q286 488 338 507Q351 498 351 495L346 492Q342 490 339 488T330 482T320 473T312 462T305 447T303 428Q303 368 366 368Q393 368 487 388T613 409Q656 409 696 385T748 306Q750 294 750 276Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C8" d="M161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Z"></path>
<path stroke-width="1" id="E1-MJMAIN-5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path>
<path stroke-width="1" id="E1-MJMAIN-33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path>
<path stroke-width="1" id="E1-MJSZ3-5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path>
<path stroke-width="1" id="E1-MJSZ3-5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMAIN-30" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="778" y="0"></use>
<g transform="translate(1834,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1439" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-50" x="567" y="0"></use>
</g>
<g transform="translate(149,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="3735" y="0"></use>
 <use xlink:href="#E1-MJMATHI-41" x="4736" y="0"></use>
<g transform="translate(5653,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
 <use xlink:href="#E1-MJMAIN-2212" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-76" x="778" y="0"></use>
<g transform="translate(1264,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1517" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-53" x="567" y="0"></use>
</g>
<g transform="translate(188,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
<g transform="translate(3021,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="583"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="4214" y="0"></use>
<g transform="translate(5215,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(99,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
<g transform="translate(6961,0)">
 <use xlink:href="#E1-MJSZ3-5B"></use>
<g transform="translate(528,0)">
 <use xlink:href="#E1-MJMAIN-33" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-53" x="500" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2B" x="1552" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="2552" y="0"></use>
<g transform="translate(3125,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1517" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-53" x="567" y="0"></use>
</g>
<g transform="translate(240,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="5104" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="6105" y="0"></use>
<g transform="translate(6622,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1517" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-53" x="567" y="0"></use>
</g>
<g transform="translate(216,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-5D" x="8908" y="-1"></use>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="17134" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2E" x="23691" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:55.672ex;height:6.176ex alt="{\displaystyle 0={\frac {\partial P}{\partial x}}+A\left(-v{\frac {\partial {\mathfrak {S}}}{\partial x}}\varrho ^{ 2}+{\frac {\partial \psi }{\partial x}}\left[3{\mathfrak {S}}+x{\frac {\partial {\mathfrak {S}}}{\partial z} }+\varrho {\frac {\partial {\mathfrak {S}}}{\partial \varrho }}\right]\right).}" data-moz-translations-id=161></span></p></td>
|
||
</tr>
|
||
</tbody>
|
||
</table><span> <span class=pagenum id=vi title="Page:Translatoric movement of light ether.djvu/6" data-moz-translations-id=0><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3>[</font></font> <b data-moz-translations-id=4><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/6 title="Page:Translatoric movement of light ether.djvu/6" data-moz-translations-id=5><font style=vertical-align:inherit data-moz-translations-id=6><font style=vertical-align:inherit data-moz-translations-id=7>vi</font></font></a></b> <font style=vertical-align:inherit data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9>]</font></font></span></span> </span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>We name</font></font><span class=mwe-math-element><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=0><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\mathfrak {U}}}" data-moz-translations-id=1><semantics data-moz-translations-id=2>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=3>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=4>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mi mathvariant=fraktur data-moz-translations-id=7><font style=vertical-align:inherit data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9>
|
||
U
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\mathfrak {U}}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,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 class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.338ex;margin-left:-0.057ex;width:1.603ex;height:2.176ex alt="{\displaystyle {\mathfrak {U}}}" data-moz-translations-id=11></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>the size</font>
|
||
</font><center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle 3{\mathfrak {S}}+x{\frac {\partial {\mathfrak {S}}}{\partial x}}+\varrho {\frac {\partial {\mathfrak {S}}}{\partial \varrho }},}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mn data-moz-translations-id=6><font style=vertical-align:inherit data-moz-translations-id=7><font style=vertical-align:inherit data-moz-translations-id=8>
|
||
3
|
||
</font></font></mn>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=9>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=10>
|
||
<mi mathvariant=fraktur data-moz-translations-id=11><font style=vertical-align:inherit data-moz-translations-id=12><font style=vertical-align:inherit data-moz-translations-id=13>
|
||
S
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=14><font style=vertical-align:inherit data-moz-translations-id=15><font style=vertical-align:inherit data-moz-translations-id=16>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=17><font style=vertical-align:inherit data-moz-translations-id=18><font style=vertical-align:inherit data-moz-translations-id=19>
|
||
x
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=20>
|
||
<mfrac data-moz-translations-id=21>
|
||
<mrow data-moz-translations-id=22>
|
||
<mi mathvariant=normal data-moz-translations-id=23><font style=vertical-align:inherit data-moz-translations-id=24><font style=vertical-align:inherit data-moz-translations-id=25>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=26>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=27>
|
||
<mi mathvariant=fraktur data-moz-translations-id=28><font style=vertical-align:inherit data-moz-translations-id=29><font style=vertical-align:inherit data-moz-translations-id=30>
|
||
S
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=31>
|
||
<mi mathvariant=normal data-moz-translations-id=32><font style=vertical-align:inherit data-moz-translations-id=33><font style=vertical-align:inherit data-moz-translations-id=34>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=35><font style=vertical-align:inherit data-moz-translations-id=36><font style=vertical-align:inherit data-moz-translations-id=37>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=38><font style=vertical-align:inherit data-moz-translations-id=39><font style=vertical-align:inherit data-moz-translations-id=40>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=41><font style=vertical-align:inherit data-moz-translations-id=42><font style=vertical-align:inherit data-moz-translations-id=43>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=44>
|
||
<mfrac data-moz-translations-id=45>
|
||
<mrow data-moz-translations-id=46>
|
||
<mi mathvariant=normal data-moz-translations-id=47><font style=vertical-align:inherit data-moz-translations-id=48><font style=vertical-align:inherit data-moz-translations-id=49>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=50>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=51>
|
||
<mi mathvariant=fraktur data-moz-translations-id=52><font style=vertical-align:inherit data-moz-translations-id=53><font style=vertical-align:inherit data-moz-translations-id=54>
|
||
S
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=55>
|
||
<mi mathvariant=normal data-moz-translations-id=56><font style=vertical-align:inherit data-moz-translations-id=57><font style=vertical-align:inherit data-moz-translations-id=58>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=59><font style=vertical-align:inherit data-moz-translations-id=60><font style=vertical-align:inherit data-moz-translations-id=61>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=62><font style=vertical-align:inherit data-moz-translations-id=63><font style=vertical-align:inherit data-moz-translations-id=64>
|
||
,
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=65><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle 3{\mathfrak {S}}+x{\frac {\partial {\mathfrak {S}}}{\partial x}}+\varrho {\frac {\partial {\mathfrak {S}}} {\partial \varrho }},}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.338ex;width:20.11ex;height:5.843ex alt="{\displaystyle 3{\mathfrak {S}}+x{\frac {\partial {\mathfrak {S}}}{\partial x}}+\varrho {\frac {\partial {\mathfrak {S}}} {\partial \varrho }},}" data-moz-translations-id=66></span></center>
|
||
<p><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>This results in the elimination of</font></font> <i data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3><font style=vertical-align:inherit data-moz-translations-id=4>P</font></font></i></p>
|
||
<table width=100%>
|
||
<tbody>
|
||
<tr>
|
||
<td valign=center style=text-align:left width=5%><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>(3)</font></font></td>
|
||
<td align=center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle 0=v\varrho {\frac {\partial {\mathfrak {U}}}{\partial x}}+{\frac {\partial \psi }{\partial x}}{\frac {\partial {\mathfrak {U}}}{\partial \varrho }}-{\frac {\partial \psi }{\partial \varrho }}{\frac {\partial {\mathfrak {U}}}{\partial x}}.}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mn data-moz-translations-id=6><font style=vertical-align:inherit data-moz-translations-id=7><font style=vertical-align:inherit data-moz-translations-id=8>
|
||
0
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=9><font style=vertical-align:inherit data-moz-translations-id=10><font style=vertical-align:inherit data-moz-translations-id=11>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=12><font style=vertical-align:inherit data-moz-translations-id=13><font style=vertical-align:inherit data-moz-translations-id=14>
|
||
v
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=15><font style=vertical-align:inherit data-moz-translations-id=16><font style=vertical-align:inherit data-moz-translations-id=17>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=18>
|
||
<mfrac data-moz-translations-id=19>
|
||
<mrow data-moz-translations-id=20>
|
||
<mi mathvariant=normal data-moz-translations-id=21><font style=vertical-align:inherit data-moz-translations-id=22><font style=vertical-align:inherit data-moz-translations-id=23>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=24>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=25>
|
||
<mi mathvariant=fraktur data-moz-translations-id=26><font style=vertical-align:inherit data-moz-translations-id=27><font style=vertical-align:inherit data-moz-translations-id=28>
|
||
U
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=29>
|
||
<mi mathvariant=normal data-moz-translations-id=30><font style=vertical-align:inherit data-moz-translations-id=31><font style=vertical-align:inherit data-moz-translations-id=32>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=33><font style=vertical-align:inherit data-moz-translations-id=34><font style=vertical-align:inherit data-moz-translations-id=35>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=36><font style=vertical-align:inherit data-moz-translations-id=37><font style=vertical-align:inherit data-moz-translations-id=38>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=39>
|
||
<mfrac data-moz-translations-id=40>
|
||
<mrow data-moz-translations-id=41>
|
||
<mi mathvariant=normal data-moz-translations-id=42><font style=vertical-align:inherit data-moz-translations-id=43><font style=vertical-align:inherit data-moz-translations-id=44>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=45><font style=vertical-align:inherit data-moz-translations-id=46><font style=vertical-align:inherit data-moz-translations-id=47>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=48>
|
||
<mi mathvariant=normal data-moz-translations-id=49><font style=vertical-align:inherit data-moz-translations-id=50><font style=vertical-align:inherit data-moz-translations-id=51>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=52><font style=vertical-align:inherit data-moz-translations-id=53><font style=vertical-align:inherit data-moz-translations-id=54>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=55>
|
||
<mfrac data-moz-translations-id=56>
|
||
<mrow data-moz-translations-id=57>
|
||
<mi mathvariant=normal data-moz-translations-id=58><font style=vertical-align:inherit data-moz-translations-id=59><font style=vertical-align:inherit data-moz-translations-id=60>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=61>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=62>
|
||
<mi mathvariant=fraktur data-moz-translations-id=63><font style=vertical-align:inherit data-moz-translations-id=64><font style=vertical-align:inherit data-moz-translations-id=65>
|
||
U
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=66>
|
||
<mi mathvariant=normal data-moz-translations-id=67><font style=vertical-align:inherit data-moz-translations-id=68><font style=vertical-align:inherit data-moz-translations-id=69>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=70><font style=vertical-align:inherit data-moz-translations-id=71><font style=vertical-align:inherit data-moz-translations-id=72>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=73><font style=vertical-align:inherit data-moz-translations-id=74><font style=vertical-align:inherit data-moz-translations-id=75>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=76>
|
||
<mfrac data-moz-translations-id=77>
|
||
<mrow data-moz-translations-id=78>
|
||
<mi mathvariant=normal data-moz-translations-id=79><font style=vertical-align:inherit data-moz-translations-id=80><font style=vertical-align:inherit data-moz-translations-id=81>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=82><font style=vertical-align:inherit data-moz-translations-id=83><font style=vertical-align:inherit data-moz-translations-id=84>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=85>
|
||
<mi mathvariant=normal data-moz-translations-id=86><font style=vertical-align:inherit data-moz-translations-id=87><font style=vertical-align:inherit data-moz-translations-id=88>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=89><font style=vertical-align:inherit data-moz-translations-id=90><font style=vertical-align:inherit data-moz-translations-id=91>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=92>
|
||
<mfrac data-moz-translations-id=93>
|
||
<mrow data-moz-translations-id=94>
|
||
<mi mathvariant=normal data-moz-translations-id=95><font style=vertical-align:inherit data-moz-translations-id=96><font style=vertical-align:inherit data-moz-translations-id=97>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=98>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=99>
|
||
<mi mathvariant=fraktur data-moz-translations-id=100><font style=vertical-align:inherit data-moz-translations-id=101><font style=vertical-align:inherit data-moz-translations-id=102>
|
||
U
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=103>
|
||
<mi mathvariant=normal data-moz-translations-id=104><font style=vertical-align:inherit data-moz-translations-id=105><font style=vertical-align:inherit data-moz-translations-id=106>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=107><font style=vertical-align:inherit data-moz-translations-id=108><font style=vertical-align:inherit data-moz-translations-id=109>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=110><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
.
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=111><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle 0=v\varrho {\frac {\partial {\mathfrak {U}}}{\partial x}}+{\frac {\partial \psi }{\partial x}}{\frac {\partial {\mathfrak {U}}}{\partial \varrho }}-{\frac {\partial \psi }{\partial \varrho }}{\frac {\partial {\mathfrak {U}}}{\partial x }}.}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="31.353ex" height="6.009ex" style="vertical-align: -2.338ex;" viewBox="0 -1580.7 13498.9 2587.3" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle 0=v\varrho {\frac {\partial {\mathfrak {U}}}{\partial x}}+{\frac {\partial \psi }{\partial x}}{\frac {\partial {\mathfrak {U}}}{\partial \varrho }}-{\frac {\partial \psi }{\partial \varrho }}{\frac {\partial {\mathfrak {U}}}{\partial x}}.}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMATHI-76" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJFRAK-55" d="M160 247Q160 291 110 382T59 505Q59 542 106 597T207 690L218 697L229 682Q229 680 216 669T187 644T158 604T144 552Q144 526 165 482T207 387T228 291Q228 277 228 267T224 247T219 232T210 217T199 202T184 184T166 163L118 107Q124 105 132 105T160 98T220 77Q298 47 317 47Q354 47 409 105Q444 142 451 161T458 244V277Q458 339 455 457T447 596L575 686L591 676L583 668Q550 632 541 587T532 449V372V298Q532 198 550 147Q572 79 605 79Q617 79 631 84T656 95L665 100V79L595 27Q578 15 560 2T532 -19L523 -26Q522 -26 490 42L458 111L397 50Q389 42 374 27T355 8T340 -5T325 -16T311 -22T294 -26T274 -27Q232 -25 152 6T35 37Q28 36 19 30T4 18T-8 4T-16 -5Q-25 10 -25 11T-20 18Q-5 34 15 57L54 101Q70 103 86 116Q94 121 113 140T137 166Q160 201 160 247Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C8" d="M161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMAIN-30" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="778" y="0"></use>
 <use xlink:href="#E1-MJMATHI-76" x="1834" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="2320" y="0"></use>
<g transform="translate(2837,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1353" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-55" x="567" y="0"></use>
</g>
<g transform="translate(106,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="4652" y="0"></use>
<g transform="translate(5653,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(99,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
<g transform="translate(7232,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1353" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-55" x="567" y="0"></use>
</g>
<g transform="translate(134,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="9047" y="0"></use>
<g transform="translate(10048,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(127,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
<g transform="translate(11627,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1353" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-55" x="567" y="0"></use>
</g>
<g transform="translate(106,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2E" x="13220" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.338ex;width:31.353ex;height:6.009ex alt="{\displaystyle 0=v\varrho {\frac {\partial {\mathfrak {U}}}{\partial x}}+{\frac {\partial \psi }{\partial x}}{\frac {\partial {\mathfrak {U}}}{\partial \varrho }}-{\frac {\partial \psi }{\partial \varrho }}{\frac {\partial {\mathfrak {U}}}{\partial x }}.}" data-moz-translations-id=112></span></td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>If the speed in the ether is to remain finite everywhere, it must</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\frac {\partial \psi }{\partial x}}=0}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mfrac data-moz-translations-id=7>
|
||
<mrow data-moz-translations-id=8>
|
||
<mi mathvariant=normal data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=11>
|
||
<mi mathvariant=normal data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mn data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
0
|
||
</font></font></mn>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\frac {\partial \psi }{\partial x}}=0}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,PHN2ZyB4bWxuczp4bGluaz0iaHR0cDovL3d3dy53My5vcmcvMTk5OS94bGluayIgd2lkdGg9IjcuOTI4ZXgiIGhlaWdodD0iNS42NzZleCIgc3R5bGU9InZlcnRpY2FsLWFsaWduOiAtMi4wMDVleDsiIHZpZXdCb3g9IjAgLTE1ODAuNyAzNDEzLjYgMjQ0My44IiByb2xlPSJpbWciIGZvY3VzYWJsZT0iZmFsc2UiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgYXJpYS1sYWJlbGxlZGJ5PSJNYXRoSmF4LVNWRy0xLVRpdGxlIj4KPHRpdGxlIGlkPSJNYXRoSmF4LVNWRy0xLVRpdGxlIj57XGRpc3BsYXlzdHlsZSB7XGZyYWMge1xwYXJ0aWFsIFxwc2kgfXtccGFydGlhbCB4fX09MH08L3RpdGxlPgo8ZGVmcyBhcmlhLWhpZGRlbj0idHJ1ZSI+CjxwYXRoIHN0cm9rZS13aWR0aD0iMSIgaWQ9IkUxLU1KTUFJTi0yMjAyIiBkPSJNMjAyIDUwOFExNzkgNTA4IDE2OSA1MjBUMTU4IDU0N1ExNTggNTU3IDE2NCA1NzdUMTg1IDYyNFQyMzAgNjc1VDMwMSA3MTBMMzMzIDcxNUgzNDVRMzc4IDcxNSAzODQgNzE0UTQ0NyA3MDMgNDg5IDY2MVQ1NDkgNTY4VDU2NiA0NTdRNTY2IDM2MiA1MTkgMjQwVDQwMiA1M1EzMjEgLTIyIDIyMyAtMjJRMTIzIC0yMiA3MyA1NlE0MiAxMDIgNDIgMTQ4VjE1OVE0MiAyNzYgMTI5IDM3MFQzMjIgNDY1UTM4MyA0NjUgNDE0IDQzNFQ0NTUgMzY3TDQ1OCAzNzhRNDc4IDQ2MSA0NzggNTE1UTQ3OCA2MDMgNDM3IDYzOVQzNDQgNjc2UTI2NiA2NzYgMjIzIDYxMlEyNjQgNjA2IDI2NCA1NzJRMjY0IDU0NyAyNDYgNTI4VDIwMiA1MDhaTTQzMCAzMDZRNDMwIDM3MiA0MDEgNDAwVDMzMyA0MjhRMjcwIDQyOCAyMjIgMzgyUTE5NyAzNTQgMTgzIDMyM1QxNTAgMjIxUTEzMiAxNDkgMTMyIDExNlExMzIgMjEgMjMyIDIxUTI0NCAyMSAyNTAgMjJRMzI3IDM1IDM3NCAxMTJRMzg5IDEzNyA0MDkgMTk2VDQzMCAzMDZaIj48L3BhdGg+CjxwYXRoIHN0cm9rZS13aWR0aD0iMSIgaWQ9IkUxLU1KTUFUSEktM0M4IiBkPSJNMTYxIDQ0MVEyMDIgNDQxIDIyNiA0MTdUMjUwIDM1OFEyNTAgMzM4IDIxOCAyNTJUMTg3IDEyN1ExOTAgODUgMjE0IDYxUTIzNSA0MyAyNTcgMzdRMjc1IDI5IDI4OCAyOUgyODlMMzcxIDM2MFE0NTUgNjkxIDQ1NiA2OTJRNDU5IDY5NCA0NzIgNjk0UTQ5MiA2OTQgNDkyIDY4N1E0OTIgNjc4IDQxMSAzNTZRMzI5IDI4IDMyOSAyN1QzMzUgMjZRNDIxIDI2IDQ5OCAxMTRUNTc2IDI3OFE1NzYgMzAyIDU2OCAzMTlUNTUwIDM0M1Q1MzIgMzYxVDUyNCAzODRRNTI0IDQwNSA1NDEgNDI0VDU4MyA0NDNRNjAyIDQ0MyA2MTggNDI1VDYzNCAzNjZRNjM0IDMzNyA2MjMgMjg4VDYwNSAyMjBRNTczIDEyNSA0OTIgNTdUMzI5IC0xMUgzMTlMMjk2IC0xMDRRMjcyIC0xOTggMjcyIC0xOTlRMjcwIC0yMDUgMjUyIC0yMDVIMjM5UTIzMyAtMTk5IDIzMyAtMTk3UTIzMyAtMTkyIDI1NiAtMTAyVDI3OSAtOVEyNzIgLTggMjY1IC04UTEwNiAxNCAxMDYgMTM5UTEwNiAxNzQgMTM5IDI2NFQxNzMgMzc5UTE3MyAzODAgMTczIDM4MVExNzMgMzkwIDE3MyAzOTNUMTY5IDQwMFQxNTggNDA0SDE1NFExMzEgNDA0IDExMiAzODVUODIgMzQ0VDY1IDMwMlQ1NyAyODBRNTUgMjc4IDQxIDI3OEgyN1EyMSAyODQgMjEgMjg3UTIxIDI5OSAzNCAzMzNUODIgNDA0VDE2MSA0NDFaIj48L3BhdGg+CjxwYXRoIHN0cm9rZS13aWR0aD0iMSIgaWQ9IkUxLU1KTUFUSEktNzgiIGQ9Ik01MiAyODlRNTkgMzMxIDEwNiAzODZUMjIyIDQ0MlEyNTcgNDQyIDI4NiA0MjRUMzI5IDM3OVEzNzEgNDQyIDQzMCA0NDJRNDY3IDQ0MiA0OTQgNDIwVDUyMiAzNjFRNTIyIDMzMiA1MDggMzE0VDQ4MSAyOTJUNDU4IDI4OFE0MzkgMjg4IDQyNyAyOTlUNDE1IDMyOFE0MTUgMzc0IDQ2NSAzOTFRNDU0IDQwNCA0MjUgNDA0UTQxMiA0MDQgNDA2IDQwMlEzNjggMzg2IDM1MCAzMzZRMjkwIDExNSAyOTAgNzhRMjkwIDUwIDMwNiAzOFQzNDEgMjZRMzc4IDI2IDQxNCA1OVQ0NjMgMTQwUTQ2NiAxNTAgNDY5IDE1MVQ0ODUgMTUzSDQ4OVE1MDQgMTUzIDUwNCAxNDVRNTA0IDE0NCA1MDIgMTM0UTQ4NiA3NyA0NDAgMzNUMzMzIC0xMVEyNjMgLTExIDIyNyA1MlExODYgLTEwIDEzMyAtMTBIMTI3UTc4IC0xMCA1NyAxNlQzNSA3MVEzNSAxMDMgNTQgMTIzVDk5IDE0M1ExNDIgMTQzIDE0MiAxMDFRMTQyIDgxIDEzMCA2NlQxMDcgNDZUOTQgNDFMOTEgNDBROTEgMzkgOTcgMzZUMTEzIDI5VDEzMiAyNlExNjggMjYgMTk0IDcxUTIwMyA4NyAyMTcgMTM5VDI0NSAyNDdUMjYxIDMxM1EyNjYgMzQwIDI2NiAzNTJRMjY2IDM4MCAyNTEgMzkyVDIxNyA0MDRRMTc3IDQwNCAxNDIgMzcyVDkzIDI5MFE5MSAyODEgODggMjgwVDcyIDI3OEg1OFE1MiAyODQgNTIgMjg5WiI+PC9wYXRoPgo8cGF0aCBzdHJva2Utd2lkdGg9IjEiIGlkPSJFMS1NSk1BSU4tM0QiIGQ9Ik01NiAzNDdRNTYgMzYwIDcwIDM2N0g3MDdRNzIyIDM1OSA3MjIgMzQ3UTcyMiAzMzYgNzA4IDMyOEwzOTAgMzI3SDcyUTU2IDMzMiA1NiAzNDdaTTU2IDE1M1E1NiAxNjggNzIgMTczSDcwOFE3MjIgMTYzIDcyMiAxNTNRNzIyIDE0MCA3MDcgMTMzSDcwUTU2IDE0MCA1NiAxNTNaIj48L3BhdGg+CjxwYXRoIHN0cm9rZS13aWR0aD0iMSIgaWQ9IkUxLU1KTUFJTi0zMCIgZD0iTTk2IDU4NVExNTIgNjY2IDI0OSA2NjZRMjk3IDY2NiAzNDUgNjQwVDQyMyA1NDhRNDYwIDQ2NSA0NjAgMzIwUTQ2MCAxNjUgNDE3IDgzUTM5NyA0MSAzNjIgMTZUMzAxIC0xNVQyNTAgLTIyUTIyNCAtMjIgMTk4IC0xNlQxMzcgMTZUODIgODNRMzkgMTY1IDM5IDMyMFEzOSA0OTQgOTYgNTg1Wk0zMjEgNTk3UTI5MSA2MjkgMjUwIDYyOVEyMDggNjI5IDE3OCA1OTdRMTUzIDU3MSAxNDUgNTI1VDEzNyAzMzNRMTM3IDE3NSAxNDUgMTI1VDE4MSA0NlEyMDkgMTYgMjUwIDE2UTI5MCAxNiAzMTggNDZRMzQ3IDc2IDM1NCAxMzBUMzYyIDMzM1EzNjIgNDc4IDM1NCA1MjRUMzIxIDU5N1oiPjwvcGF0aD4KPC9kZWZzPgo8ZyBzdHJva2U9ImN1cnJlbnRDb2xvciIgZmlsbD0iY3VycmVudENvbG9yIiBzdHJva2Utd2lkdGg9IjAiIHRyYW5zZm9ybT0ibWF0cml4KDEgMCAwIC0xIDAgMCkiIGFyaWEtaGlkZGVuPSJ0cnVlIj4KPGcgdHJhbnNmb3JtPSJ0cmFuc2xhdGUoMTIwLDApIj4KPHJlY3Qgc3Ryb2tlPSJub25lIiB3aWR0aD0iMTMzOSIgaGVpZ2h0PSI2MCIgeD0iMCIgeT0iMjIwIj48L3JlY3Q+CjxnIHRyYW5zZm9ybT0idHJhbnNsYXRlKDYwLDcyNSkiPgogPHVzZSB4bGluazpocmVmPSIjRTEtTUpNQUlOLTIyMDIiIHg9IjAiIHk9IjAiPjwvdXNlPgogPHVzZSB4bGluazpocmVmPSIjRTEtTUpNQVRISS0zQzgiIHg9IjU2NyIgeT0iMCI+PC91c2U+CjwvZz4KPGcgdHJhbnNmb3JtPSJ0cmFuc2xhdGUoOTksLTczNikiPgogPHVzZSB4bGluazpocmVmPSIjRTEtTUpNQUlOLTIyMDIiIHg9IjAiIHk9IjAiPjwvdXNlPgogPHVzZSB4bGluazpocmVmPSIjRTEtTUpNQVRISS03OCIgeD0iNTY3IiB5PSIwIj48L3VzZT4KPC9nPgo8L2c+CiA8dXNlIHhsaW5rOmhyZWY9IiNFMS1NSk1BSU4tM0QiIHg9IjE4NTYiIHk9IjAiPjwvdXNlPgogPHVzZSB4bGluazpocmVmPSIjRTEtTUpNQUlOLTMwIiB4PSIyOTEzIiB5PSIwIj48L3VzZT4KPC9nPgo8L3N2Zz4=" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.005ex;width:7.928ex;height:5.676ex alt="{\displaystyle {\frac {\partial \psi }{\partial x}}=0}" data-moz-translations-id=17></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>be, then we have</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle v\varrho ={\frac {\partial \psi }{\partial \varrho }},\quad v=-\alpha .}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=9>
|
||
<mfrac data-moz-translations-id=10>
|
||
<mrow data-moz-translations-id=11>
|
||
<mi mathvariant=normal data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=14>
|
||
<mi mathvariant=normal data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
<mspace width=1em data-moz-translations-id=18></mspace>
|
||
<mi data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mo data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
.
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle v\varrho ={\frac {\partial \psi }{\partial \varrho }},\quad v=-\alpha .}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,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 class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.338ex;width:20.621ex;height:6.009ex alt="{\displaystyle v\varrho ={\frac {\partial \psi }{\partial \varrho }},\quad v=-\alpha .}" data-moz-translations-id=25></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>So the ether flows with respect to the coordinate system moving with the speed</font> </font><i data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>v</font></font></i><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>in the direction</font> </font><i data-moz-translations-id=1><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>x x</font></font></i><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>at the same time as the charge with the same speed in the opposite direction, i.e. it rests with respect to a resting coordinate system. This result is remarkable because it shows that the movement of electric quanta is no reason for a movement of the ether, as</font> </font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=2><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Helmholtz</font></font></span><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>assumes.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>On the other hand, movements can occur if the aether has an inertia other than zero. I give the calculation for this case because it gives an idea of the magnitude of the density that would have to be assigned to the aether in a given case. Then, in addition to the terms of equations (1), there are also the components of the accelerations</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle s{\frac {d\alpha }{dt}},\quad s{\frac {d\beta }{dt}},\quad s{\frac {d\gamma }{dt}}}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
s
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=7>
|
||
<mfrac data-moz-translations-id=8>
|
||
<mrow data-moz-translations-id=9>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=12>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
<mspace width=1em data-moz-translations-id=16></mspace>
|
||
<mi data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
s
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=18>
|
||
<mfrac data-moz-translations-id=19>
|
||
<mrow data-moz-translations-id=20>
|
||
<mi data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
β</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=23>
|
||
<mi data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
<mspace width=1em data-moz-translations-id=27></mspace>
|
||
<mi data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
s
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=29>
|
||
<mfrac data-moz-translations-id=30>
|
||
<mrow data-moz-translations-id=31>
|
||
<mi data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=34>
|
||
<mi data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle s{\frac {d\alpha }{dt}},\quad s{\frac {d\beta }{dt}},\quad s{\frac {d\gamma }{dt}}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.005ex;width:20.222ex;height:5.509ex alt="{\displaystyle s{\frac {d\alpha }{dt}},\quad s{\frac {d\beta }{dt}},\quad s{\frac {d\gamma }{dt}}}" data-moz-translations-id=38></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>to add, where</font> </font><i data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>s</font></font></i><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>denotes the density of the ether and</font></font></p>
|
||
<table width=100%>
|
||
<tbody>
|
||
<tr>
|
||
<td valign=center style=text-align:left width=5%></td>
|
||
<td align=center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\begin{array}{l}{\frac {d\alpha }{dt}}={\frac {\partial \alpha }{\partial t}}+\alpha {\frac {d\alpha }{dx}}+\beta {\frac {\partial \alpha }{\partial y}}+\gamma {\frac {\partial \alpha }{\partial z}},\\\\{\frac {d\beta }{dt}}={\frac {\partial \beta }{\partial t}}+\alpha {\frac {d\beta }{dx}}+\beta {\frac {\partial \beta }{\partial y}}+\gamma {\frac {\partial \beta }{\partial z}},\\\\{\frac {d\gamma }{dt}}={\frac {\partial \gamma }{\partial t}}+\alpha {\frac {d\gamma }{dx}}+\beta {\frac {\partial \gamma }{\partial y}}+\gamma {\frac {\partial \gamma }{\partial z}}\end{array}}}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mtable columnalign=left rowspacing=4pt columnspacing=1em data-moz-translations-id=7>
|
||
<mtr data-moz-translations-id=8>
|
||
<mtd data-moz-translations-id=9>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=10>
|
||
<mfrac data-moz-translations-id=11>
|
||
<mrow data-moz-translations-id=12>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=15>
|
||
<mi data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=19>
|
||
<mfrac data-moz-translations-id=20>
|
||
<mrow data-moz-translations-id=21>
|
||
<mi mathvariant=normal data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=24>
|
||
<mi mathvariant=normal data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=29>
|
||
<mfrac data-moz-translations-id=30>
|
||
<mrow data-moz-translations-id=31>
|
||
<mi data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=34>
|
||
<mi data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=38><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
β</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=39>
|
||
<mfrac data-moz-translations-id=40>
|
||
<mrow data-moz-translations-id=41>
|
||
<mi mathvariant=normal data-moz-translations-id=42><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=44>
|
||
<mi mathvariant=normal data-moz-translations-id=45><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=46><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=48><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=49>
|
||
<mfrac data-moz-translations-id=50>
|
||
<mrow data-moz-translations-id=51>
|
||
<mi mathvariant=normal data-moz-translations-id=52><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=53><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=54>
|
||
<mi mathvariant=normal data-moz-translations-id=55><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=56><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=57><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=58>
|
||
<mtd data-moz-translations-id=59></mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=60>
|
||
<mtd data-moz-translations-id=61>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=62>
|
||
<mfrac data-moz-translations-id=63>
|
||
<mrow data-moz-translations-id=64>
|
||
<mi data-moz-translations-id=65><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=66><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
β</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=67>
|
||
<mi data-moz-translations-id=68><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=69><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=70><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=71>
|
||
<mfrac data-moz-translations-id=72>
|
||
<mrow data-moz-translations-id=73>
|
||
<mi mathvariant=normal data-moz-translations-id=74><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=75><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
β</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=76>
|
||
<mi mathvariant=normal data-moz-translations-id=77><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=78><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=79><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=80><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=81>
|
||
<mfrac data-moz-translations-id=82>
|
||
<mrow data-moz-translations-id=83>
|
||
<mi data-moz-translations-id=84><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=85><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
β</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=86>
|
||
<mi data-moz-translations-id=87><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=88><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=89><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=90><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
β</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=91>
|
||
<mfrac data-moz-translations-id=92>
|
||
<mrow data-moz-translations-id=93>
|
||
<mi mathvariant=normal data-moz-translations-id=94><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=95><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
β</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=96>
|
||
<mi mathvariant=normal data-moz-translations-id=97><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=98><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=99><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=100><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=101>
|
||
<mfrac data-moz-translations-id=102>
|
||
<mrow data-moz-translations-id=103>
|
||
<mi mathvariant=normal data-moz-translations-id=104><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=105><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
β</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=106>
|
||
<mi mathvariant=normal data-moz-translations-id=107><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=108><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=109><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=110>
|
||
<mtd data-moz-translations-id=111></mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=112>
|
||
<mtd data-moz-translations-id=113>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=114>
|
||
<mfrac data-moz-translations-id=115>
|
||
<mrow data-moz-translations-id=116>
|
||
<mi data-moz-translations-id=117><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=118><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=119>
|
||
<mi data-moz-translations-id=120><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=121><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=122><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=123>
|
||
<mfrac data-moz-translations-id=124>
|
||
<mrow data-moz-translations-id=125>
|
||
<mi mathvariant=normal data-moz-translations-id=126><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=127><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=128>
|
||
<mi mathvariant=normal data-moz-translations-id=129><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=130><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=131><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=132><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=133>
|
||
<mfrac data-moz-translations-id=134>
|
||
<mrow data-moz-translations-id=135>
|
||
<mi data-moz-translations-id=136><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=137><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=138>
|
||
<mi data-moz-translations-id=139><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=140><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=141><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=142><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
β</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=143>
|
||
<mfrac data-moz-translations-id=144>
|
||
<mrow data-moz-translations-id=145>
|
||
<mi mathvariant=normal data-moz-translations-id=146><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=147><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=148>
|
||
<mi mathvariant=normal data-moz-translations-id=149><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=150><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
y
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=151><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=152><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=153>
|
||
<mfrac data-moz-translations-id=154>
|
||
<mrow data-moz-translations-id=155>
|
||
<mi mathvariant=normal data-moz-translations-id=156><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=157><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=158>
|
||
<mi mathvariant=normal data-moz-translations-id=159><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=160><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mtd>
|
||
</mtr>
|
||
</mtable>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=161><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\begin{array}{l}{\frac {d\alpha }{dt}}={\frac {\partial \alpha }{\partial t}}+\alpha {\frac {d\alpha }{dx}}+\beta {\frac {\partial \alpha }{\partial y}}+\gamma {\frac {\partial \alpha }{\partial z}},\\\\{\frac { d\beta }{dt}}={\frac {\partial \beta }{\partial t}}+\alpha {\frac {d\beta }{dx}}+\beta {\frac {\partial \beta }{\partial y}}+\gamma {\frac {\partial \beta }{\partial z}},\\\\{\frac {d\gamma }{dt}}={\frac {\partial \ gamma }{\partial t}}+\alpha {\frac {d\gamma }{dx}}+\beta {\frac {\partial \gamma }{\partial y}}+\gamma {\frac {\partial \gamma }{\partial z}}\end{array}}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="31.056ex" height="20.509ex" style="vertical-align: -9.348ex; margin-bottom: -0.323ex;" viewBox="0 -4666.3 13371.1 8830.4" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\begin{array}{l}{\frac {d\alpha }{dt}}={\frac {\partial \alpha }{\partial t}}+\alpha {\frac {d\alpha }{dx}}+\beta {\frac {\partial \alpha }{\partial y}}+\gamma {\frac {\partial \alpha }{\partial z}},\\\\{\frac {d\beta }{dt}}={\frac {\partial \beta }{\partial t}}+\alpha {\frac {d\beta }{dx}}+\beta {\frac {\partial \beta }{\partial y}}+\gamma {\frac {\partial \beta }{\partial z}},\\\\{\frac {d\gamma }{dt}}={\frac {\partial \gamma }{\partial t}}+\alpha {\frac {d\gamma }{dx}}+\beta {\frac {\partial \gamma }{\partial y}}+\gamma {\frac {\partial \gamma }{\partial z}}\end{array}}}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-64" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B1" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B2" d="M29 -194Q23 -188 23 -186Q23 -183 102 134T186 465Q208 533 243 584T309 658Q365 705 429 705H431Q493 705 533 667T573 570Q573 465 469 396L482 383Q533 332 533 252Q533 139 448 65T257 -10Q227 -10 203 -2T165 17T143 40T131 59T126 65L62 -188Q60 -194 42 -194H29ZM353 431Q392 431 427 419L432 422Q436 426 439 429T449 439T461 453T472 471T484 495T493 524T501 560Q503 569 503 593Q503 611 502 616Q487 667 426 667Q384 667 347 643T286 582T247 514T224 455Q219 439 186 308T152 168Q151 163 151 147Q151 99 173 68Q204 26 260 26Q302 26 349 51T425 137Q441 171 449 214T457 279Q457 337 422 372Q380 358 347 358H337Q258 358 258 389Q258 396 261 403Q275 431 353 431Z"></path>
<path stroke-width="1" id="E1-MJMATHI-79" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B3" d="M31 249Q11 249 11 258Q11 275 26 304T66 365T129 418T206 441Q233 441 239 440Q287 429 318 386T371 255Q385 195 385 170Q385 166 386 166L398 193Q418 244 443 300T486 391T508 430Q510 431 524 431H537Q543 425 543 422Q543 418 522 378T463 251T391 71Q385 55 378 6T357 -100Q341 -165 330 -190T303 -216Q286 -216 286 -188Q286 -138 340 32L346 51L347 69Q348 79 348 100Q348 257 291 317Q251 355 196 355Q148 355 108 329T51 260Q49 251 47 251Q45 249 31 249Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
<g transform="translate(167,0)">
<g transform="translate(-11,0)">
<g transform="translate(0,3557)">
<g transform="translate(120,0)">
<rect stroke="none" width="943" height="60" x="0" y="220"></rect>
<g transform="translate(60,453)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3B1" x="523" y="0"></use>
</g>
<g transform="translate(158,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="523" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="1460" y="0"></use>
<g transform="translate(2517,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="974" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3B1" x="567" y="0"></use>
</g>
<g transform="translate(158,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="3953" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B1" x="4954" y="0"></use>
<g transform="translate(5594,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="943" height="60" x="0" y="220"></rect>
<g transform="translate(60,453)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3B1" x="523" y="0"></use>
</g>
<g transform="translate(84,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="523" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="7000" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B2" x="8000" y="0"></use>
<g transform="translate(8574,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="974" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3B1" x="567" y="0"></use>
</g>
<g transform="translate(110,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-79" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="10010" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B3" x="11011" y="0"></use>
<g transform="translate(11554,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="974" height="60" x="0" y="220"></rect>
<g transform="translate(60,460)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3B1" x="567" y="0"></use>
</g>
<g transform="translate(120,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="12769" y="0"></use>
</g>
<g transform="translate(0,72)">
<g transform="translate(120,0)">
<rect stroke="none" width="895" height="60" x="0" y="220"></rect>
<g transform="translate(60,582)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3B2" x="523" y="0"></use>
</g>
<g transform="translate(134,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="523" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="1413" y="0"></use>
<g transform="translate(2469,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="926" height="60" x="0" y="220"></rect>
<g transform="translate(60,582)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3B2" x="567" y="0"></use>
</g>
<g transform="translate(134,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="3858" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B1" x="4859" y="0"></use>
<g transform="translate(5500,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="895" height="60" x="0" y="220"></rect>
<g transform="translate(60,582)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3B2" x="523" y="0"></use>
</g>
<g transform="translate(60,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="523" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="6857" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B2" x="7858" y="0"></use>
<g transform="translate(8432,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="926" height="60" x="0" y="220"></rect>
<g transform="translate(60,582)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3B2" x="567" y="0"></use>
</g>
<g transform="translate(86,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-79" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="9821" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B3" x="10821" y="0"></use>
<g transform="translate(11365,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="926" height="60" x="0" y="220"></rect>
<g transform="translate(60,582)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3B2" x="567" y="0"></use>
</g>
<g transform="translate(97,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="12532" y="0"></use>
</g>
<g transform="translate(0,-3429)">
<g transform="translate(120,0)">
<rect stroke="none" width="874" height="60" x="0" y="220"></rect>
<g transform="translate(60,597)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3B3" x="523" y="0"></use>
</g>
<g transform="translate(124,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="523" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="1392" y="0"></use>
<g transform="translate(2448,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="905" height="60" x="0" y="220"></rect>
<g transform="translate(60,597)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3B3" x="567" y="0"></use>
</g>
<g transform="translate(124,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-74" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="3816" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B1" x="4817" y="0"></use>
<g transform="translate(5457,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="894" height="60" x="0" y="220"></rect>
<g transform="translate(70,597)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3B3" x="523" y="0"></use>
</g>
<g transform="translate(60,-436)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="523" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="6814" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B2" x="7815" y="0"></use>
<g transform="translate(8389,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="905" height="60" x="0" y="220"></rect>
<g transform="translate(60,597)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3B3" x="567" y="0"></use>
</g>
<g transform="translate(76,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-79" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="9756" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3B3" x="10757" y="0"></use>
<g transform="translate(11301,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="905" height="60" x="0" y="220"></rect>
<g transform="translate(60,597)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3B3" x="567" y="0"></use>
</g>
<g transform="translate(86,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
</g>
</g>
</g>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-9.348ex;margin-bottom:-0.323ex;width:31.056ex;height:20.509ex alt="{\displaystyle {\begin{array}{l}{\frac {d\alpha }{dt}}={\frac {\partial \alpha }{\partial t}}+\alpha {\frac {d\alpha }{dx}}+\beta {\frac {\partial \alpha }{\partial y}}+\gamma {\frac {\partial \alpha }{\partial z}},\\\\{\frac { d\beta }{dt}}={\frac {\partial \beta }{\partial t}}+\alpha {\frac {d\beta }{dx}}+\beta {\frac {\partial \beta }{\partial y}}+\gamma {\frac {\partial \beta }{\partial z}},\\\\{\frac {d\gamma }{dt}}={\frac {\partial \ gamma }{\partial t}}+\alpha {\frac {d\gamma }{dx}}+\beta {\frac {\partial \gamma }{\partial y}}+\gamma {\frac {\partial \gamma }{\partial z}}\end{array}}}" data-moz-translations-id=162></span></td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
<p><span data-moz-translations-id=0><span class=pagenum id=vii title="Page:Translatoric movement of light ether.djvu/7" data-moz-translations-id=1><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=2><b data-moz-translations-id=3><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/7 title="Page:Translatoric movement of light ether.djvu/7" data-moz-translations-id=4></a></b></span></span></span><font style=vertical-align:inherit></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\frac {\partial \alpha }{\partial t}}={\frac {\partial \beta }{\partial t}}={\frac {\partial \gamma }{\partial t}}=0.}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mfrac data-moz-translations-id=7>
|
||
<mrow data-moz-translations-id=8>
|
||
<mi mathvariant=normal data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=11>
|
||
<mi mathvariant=normal data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=15>
|
||
<mfrac data-moz-translations-id=16>
|
||
<mrow data-moz-translations-id=17>
|
||
<mi mathvariant=normal data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
β</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=20>
|
||
<mi mathvariant=normal data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=24>
|
||
<mfrac data-moz-translations-id=25>
|
||
<mrow data-moz-translations-id=26>
|
||
<mi mathvariant=normal data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=29>
|
||
<mi mathvariant=normal data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mn data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
0.
|
||
</font></font></mn>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\frac {\partial \alpha }{\partial t}}={\frac {\partial \beta }{\partial t}}={\frac {\partial \gamma }{\partial t}} =0.}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,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 class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.005ex;width:21.649ex;height:5.676ex alt="{\displaystyle {\frac {\partial \alpha }{\partial t}}={\frac {\partial \beta }{\partial t}}={\frac {\partial \gamma }{\partial t}} =0.}" data-moz-translations-id=35></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Let's set the values of</font></font><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \alpha ,\beta ,\gamma }" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
β</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \alpha ,\beta ,\gamma }
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.838ex;width:6.15ex;height:2.676ex alt="{\displaystyle \alpha ,\beta ,\gamma }" data-moz-translations-id=12></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>one, the elimination of</font> </font><i data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>P</font></font></i></p>
|
||
<table width=100%>
|
||
<tbody>
|
||
<tr>
|
||
<td valign=center style=text-align:left width=5%></td>
|
||
<td align=center><span class=mwe-math-element><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=0><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\frac {1}{A}}{\frac {\partial \psi }{\partial x}}{\frac {\partial }{\partial \varrho }}\left[{\frac {1}{\varrho ^{2}}}\left({\frac {\partial ^{2}\psi }{\partial \varrho ^{2}}}-{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }}+{\frac {\partial ^{2}\psi }{\partial x^{2}}}\right)\right]}" data-moz-translations-id=1><semantics data-moz-translations-id=2>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=3>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=4>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=5>
|
||
<mfrac data-moz-translations-id=6>
|
||
<mn data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=9>
|
||
<mfrac data-moz-translations-id=10>
|
||
<mrow data-moz-translations-id=11>
|
||
<mi mathvariant=normal data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=14>
|
||
<mi mathvariant=normal data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=17>
|
||
<mfrac data-moz-translations-id=18>
|
||
<mi mathvariant=normal data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow data-moz-translations-id=20>
|
||
<mi mathvariant=normal data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=23>
|
||
<mo data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
[
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=25>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=26>
|
||
<mfrac data-moz-translations-id=27>
|
||
<mn data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<msup data-moz-translations-id=29>
|
||
<mi data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=31>
|
||
<mn data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=33>
|
||
<mo data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=35>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=36>
|
||
<mfrac data-moz-translations-id=37>
|
||
<mrow data-moz-translations-id=38>
|
||
<msup data-moz-translations-id=39>
|
||
<mi mathvariant=normal data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=41>
|
||
<mn data-moz-translations-id=42><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=44>
|
||
<mi mathvariant=normal data-moz-translations-id=45><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<msup data-moz-translations-id=46>
|
||
<mi data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=48>
|
||
<mn data-moz-translations-id=49><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=50><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=51>
|
||
<mfrac data-moz-translations-id=52>
|
||
<mn data-moz-translations-id=53><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=54><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=55>
|
||
<mfrac data-moz-translations-id=56>
|
||
<mrow data-moz-translations-id=57>
|
||
<mi mathvariant=normal data-moz-translations-id=58><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=59><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=60>
|
||
<mi mathvariant=normal data-moz-translations-id=61><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=62><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=63><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=64>
|
||
<mfrac data-moz-translations-id=65>
|
||
<mrow data-moz-translations-id=66>
|
||
<msup data-moz-translations-id=67>
|
||
<mi mathvariant=normal data-moz-translations-id=68><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=69>
|
||
<mn data-moz-translations-id=70><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=71><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=72>
|
||
<mi mathvariant=normal data-moz-translations-id=73><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<msup data-moz-translations-id=74>
|
||
<mi data-moz-translations-id=75><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=76>
|
||
<mn data-moz-translations-id=77><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=78><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=79><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
]
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=80><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\frac {1}{A}}{\frac {\partial \psi }{\partial x}}{\frac {\partial }{\partial \varrho }}\left[{\frac {1 }{\varrho ^{2}}}\left({\frac {\partial ^{2}\psi }{\partial \varrho ^{2}}}-{\frac {1}{\varrho }}{ \frac {\partial \psi }{\partial \varrho }}+{\frac {\partial ^{2}\psi }{\partial x^{2}}}\right)\right]}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="40.225ex" height="6.343ex" style="vertical-align: -2.505ex;" viewBox="0 -1652.5 17319.1 2730.8" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\frac {1}{A}}{\frac {\partial \psi }{\partial x}}{\frac {\partial }{\partial \varrho }}\left[{\frac {1}{\varrho ^{2}}}\left({\frac {\partial ^{2}\psi }{\partial \varrho ^{2}}}-{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }}+{\frac {\partial ^{2}\psi }{\partial x^{2}}}\right)\right]}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C8" d="M161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
<path stroke-width="1" id="E1-MJMAIN-5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path>
<path stroke-width="1" id="E1-MJSZ3-5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path>
<path stroke-width="1" id="E1-MJSZ3-5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
<g transform="translate(120,0)">
<rect stroke="none" width="870" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="185" y="676"></use>
 <use xlink:href="#E1-MJMATHI-41" x="60" y="-737"></use>
</g>
<g transform="translate(1110,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(99,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
<g transform="translate(2689,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1205" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-2202" x="318" y="676"></use>
<g transform="translate(60,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
<g transform="translate(4301,0)">
 <use xlink:href="#E1-MJSZ3-5B"></use>
<g transform="translate(528,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1091" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="295" y="676"></use>
<g transform="translate(60,-780)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
<g transform="translate(1498,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1803" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="817" y="513"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="1032" y="0"></use>
</g>
<g transform="translate(132,-780)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
<g transform="translate(567,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="2265" y="0"></use>
<g transform="translate(3266,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="637" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="68" y="676"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="60" y="-686"></use>
</g>
</g>
<g transform="translate(4144,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(127,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="5945" y="0"></use>
<g transform="translate(6946,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1803" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="817" y="513"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="1032" y="0"></use>
</g>
<g transform="translate(104,-780)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
<g transform="translate(567,0)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="809" y="408"></use>
</g>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="9726" y="-1"></use>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-5D" x="12489" y="-1"></use>
</g>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:40.225ex;height:6.343ex alt="{\displaystyle {\frac {1}{A}}{\frac {\partial \psi }{\partial x}}{\frac {\partial }{\partial \varrho }}\left[{\frac {1 }{\varrho ^{2}}}\left({\frac {\partial ^{2}\psi }{\partial \varrho ^{2}}}-{\frac {1}{\varrho }}{ \frac {\partial \psi }{\partial \varrho }}+{\frac {\partial ^{2}\psi }{\partial x^{2}}}\right)\right]}" data-moz-translations-id=81></span> <p><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle -{\frac {1}{A}}{\frac {\partial \psi }{\partial \varrho }}{\frac {\partial }{\partial x}}\left[{\frac {1}{\varrho ^{2}}}\left({\frac {\partial ^{2}\psi }{\partial \varrho ^{2}}}-{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }}+{\frac {\partial ^{2}\psi }{\partial x^{2}}}\right)\right]}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mo data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=7>
|
||
<mfrac data-moz-translations-id=8>
|
||
<mn data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=11>
|
||
<mfrac data-moz-translations-id=12>
|
||
<mrow data-moz-translations-id=13>
|
||
<mi mathvariant=normal data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=16>
|
||
<mi mathvariant=normal data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=19>
|
||
<mfrac data-moz-translations-id=20>
|
||
<mi mathvariant=normal data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow data-moz-translations-id=22>
|
||
<mi mathvariant=normal data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=25>
|
||
<mo data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
[
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=27>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=28>
|
||
<mfrac data-moz-translations-id=29>
|
||
<mn data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<msup data-moz-translations-id=31>
|
||
<mi data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=33>
|
||
<mn data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=35>
|
||
<mo data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=37>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=38>
|
||
<mfrac data-moz-translations-id=39>
|
||
<mrow data-moz-translations-id=40>
|
||
<msup data-moz-translations-id=41>
|
||
<mi mathvariant=normal data-moz-translations-id=42><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=43>
|
||
<mn data-moz-translations-id=44><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=45><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=46>
|
||
<mi mathvariant=normal data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<msup data-moz-translations-id=48>
|
||
<mi data-moz-translations-id=49><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=50>
|
||
<mn data-moz-translations-id=51><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=52><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=53>
|
||
<mfrac data-moz-translations-id=54>
|
||
<mn data-moz-translations-id=55><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=56><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=57>
|
||
<mfrac data-moz-translations-id=58>
|
||
<mrow data-moz-translations-id=59>
|
||
<mi mathvariant=normal data-moz-translations-id=60><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=61><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=62>
|
||
<mi mathvariant=normal data-moz-translations-id=63><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=64><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=65><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=66>
|
||
<mfrac data-moz-translations-id=67>
|
||
<mrow data-moz-translations-id=68>
|
||
<msup data-moz-translations-id=69>
|
||
<mi mathvariant=normal data-moz-translations-id=70><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=71>
|
||
<mn data-moz-translations-id=72><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=73><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=74>
|
||
<mi mathvariant=normal data-moz-translations-id=75><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<msup data-moz-translations-id=76>
|
||
<mi data-moz-translations-id=77><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=78>
|
||
<mn data-moz-translations-id=79><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=80><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=81><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
]
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=82><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle -{\frac {1}{A}}{\frac {\partial \psi }{\partial \varrho }}{\frac {\partial }{\partial x}}\left[{\frac { 1}{\varrho ^{2}}}\left({\frac {\partial ^{2}\psi }{\partial \varrho ^{2}}}-{\frac {1}{\varrho }} {\frac {\partial \psi }{\partial \varrho }}+{\frac {\partial ^{2}\psi }{\partial x^{2}}}\right)\right]}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="42.161ex" height="6.343ex" style="vertical-align: -2.505ex;" viewBox="0 -1652.5 18152.6 2730.8" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle -{\frac {1}{A}}{\frac {\partial \psi }{\partial \varrho }}{\frac {\partial }{\partial x}}\left[{\frac {1}{\varrho ^{2}}}\left({\frac {\partial ^{2}\psi }{\partial \varrho ^{2}}}-{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }}+{\frac {\partial ^{2}\psi }{\partial x^{2}}}\right)\right]}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C8" d="M161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
<path stroke-width="1" id="E1-MJMAIN-5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path>
<path stroke-width="1" id="E1-MJSZ3-5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path>
<path stroke-width="1" id="E1-MJSZ3-5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMAIN-2212" x="0" y="0"></use>
<g transform="translate(778,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="870" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="185" y="676"></use>
 <use xlink:href="#E1-MJMATHI-41" x="60" y="-737"></use>
</g>
</g>
<g transform="translate(1889,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(127,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
<g transform="translate(3468,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1260" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-2202" x="346" y="676"></use>
<g transform="translate(60,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
<g transform="translate(5134,0)">
 <use xlink:href="#E1-MJSZ3-5B"></use>
<g transform="translate(528,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1091" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="295" y="676"></use>
<g transform="translate(60,-780)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
<g transform="translate(1498,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1803" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="817" y="513"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="1032" y="0"></use>
</g>
<g transform="translate(132,-780)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
<g transform="translate(567,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="2265" y="0"></use>
<g transform="translate(3266,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="637" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="68" y="676"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="60" y="-686"></use>
</g>
</g>
<g transform="translate(4144,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(127,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="5945" y="0"></use>
<g transform="translate(6946,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1803" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="817" y="513"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="1032" y="0"></use>
</g>
<g transform="translate(104,-780)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
<g transform="translate(567,0)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="809" y="408"></use>
</g>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="9726" y="-1"></use>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-5D" x="12489" y="-1"></use>
</g>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:42.161ex;height:6.343ex alt="{\displaystyle -{\frac {1}{A}}{\frac {\partial \psi }{\partial \varrho }}{\frac {\partial }{\partial x}}\left[{\frac { 1}{\varrho ^{2}}}\left({\frac {\partial ^{2}\psi }{\partial \varrho ^{2}}}-{\frac {1}{\varrho }} {\frac {\partial \psi }{\partial \varrho }}+{\frac {\partial ^{2}\psi }{\partial x^{2}}}\right)\right]}" data-moz-translations-id=83></span><p><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle +{\frac {v\varrho }{s}}{\frac {\partial {\mathfrak {U}}}{\partial x}}+\left({\frac {\partial \psi }{\partial x}}{\frac {\partial {\mathfrak {U}}}{\partial \varrho }}-{\frac {\partial \psi }{\partial \varrho }}{\frac {\partial {\mathfrak {U}}}{\partial x}}\right){\frac {1}{s}}=0.}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mo data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=7>
|
||
<mfrac data-moz-translations-id=8>
|
||
<mrow data-moz-translations-id=9>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mi data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
s
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=13>
|
||
<mfrac data-moz-translations-id=14>
|
||
<mrow data-moz-translations-id=15>
|
||
<mi mathvariant=normal data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=17>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=18>
|
||
<mi mathvariant=fraktur data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
U
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=20>
|
||
<mi mathvariant=normal data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=24>
|
||
<mo data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=26>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=27>
|
||
<mfrac data-moz-translations-id=28>
|
||
<mrow data-moz-translations-id=29>
|
||
<mi mathvariant=normal data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=32>
|
||
<mi mathvariant=normal data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=35>
|
||
<mfrac data-moz-translations-id=36>
|
||
<mrow data-moz-translations-id=37>
|
||
<mi mathvariant=normal data-moz-translations-id=38><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=39>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=40>
|
||
<mi mathvariant=fraktur data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
U
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=42>
|
||
<mi mathvariant=normal data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=44><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=45><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=46>
|
||
<mfrac data-moz-translations-id=47>
|
||
<mrow data-moz-translations-id=48>
|
||
<mi mathvariant=normal data-moz-translations-id=49><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=50><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=51>
|
||
<mi mathvariant=normal data-moz-translations-id=52><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=53><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=54>
|
||
<mfrac data-moz-translations-id=55>
|
||
<mrow data-moz-translations-id=56>
|
||
<mi mathvariant=normal data-moz-translations-id=57><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=58>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=59>
|
||
<mi mathvariant=fraktur data-moz-translations-id=60><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
U
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=61>
|
||
<mi mathvariant=normal data-moz-translations-id=62><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=63><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=64><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=65>
|
||
<mfrac data-moz-translations-id=66>
|
||
<mn data-moz-translations-id=67><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=68><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
s
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=69><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mn data-moz-translations-id=70><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
0.
|
||
</font></font></mn>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=71><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle +{\frac {v\varrho }{s}}{\frac {\partial {\mathfrak {U}}}{\partial x}}+\left({\frac {\partial \psi }{ \partial x}}{\frac {\partial {\mathfrak {U}}}{\partial \varrho }}-{\frac {\partial \psi }{\partial \varrho }}{\frac {\partial { \mathfrak {U}}}{\partial x}}\right){\frac {1}{s}}=0.}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="39.804ex" height="6.176ex" style="vertical-align: -2.505ex;" viewBox="0 -1580.7 17137.6 2659.1" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle +{\frac {v\varrho }{s}}{\frac {\partial {\mathfrak {U}}}{\partial x}}+\left({\frac {\partial \psi }{\partial x}}{\frac {\partial {\mathfrak {U}}}{\partial \varrho }}-{\frac {\partial \psi }{\partial \varrho }}{\frac {\partial {\mathfrak {U}}}{\partial x}}\right){\frac {1}{s}}=0.}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-76" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMATHI-73" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJFRAK-55" d="M160 247Q160 291 110 382T59 505Q59 542 106 597T207 690L218 697L229 682Q229 680 216 669T187 644T158 604T144 552Q144 526 165 482T207 387T228 291Q228 277 228 267T224 247T219 232T210 217T199 202T184 184T166 163L118 107Q124 105 132 105T160 98T220 77Q298 47 317 47Q354 47 409 105Q444 142 451 161T458 244V277Q458 339 455 457T447 596L575 686L591 676L583 668Q550 632 541 587T532 449V372V298Q532 198 550 147Q572 79 605 79Q617 79 631 84T656 95L665 100V79L595 27Q578 15 560 2T532 -19L523 -26Q522 -26 490 42L458 111L397 50Q389 42 374 27T355 8T340 -5T325 -16T311 -22T294 -26T274 -27Q232 -25 152 6T35 37Q28 36 19 30T4 18T-8 4T-16 -5Q-25 10 -25 11T-20 18Q-5 34 15 57L54 101Q70 103 86 116Q94 121 113 140T137 166Q160 201 160 247Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C8" d="M161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMAIN-2B" x="0" y="0"></use>
<g transform="translate(778,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1123" height="60" x="0" y="220"></rect>
<g transform="translate(60,714)">
 <use xlink:href="#E1-MJMATHI-76" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="485" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-73" x="326" y="-686"></use>
</g>
</g>
<g transform="translate(2141,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1353" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-55" x="567" y="0"></use>
</g>
<g transform="translate(106,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="3956" y="0"></use>
<g transform="translate(4957,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(99,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
<g transform="translate(1579,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1353" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-55" x="567" y="0"></use>
</g>
<g transform="translate(134,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="3394" y="0"></use>
<g transform="translate(4394,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(127,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
<g transform="translate(5973,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1353" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-55" x="567" y="0"></use>
</g>
<g transform="translate(106,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="8303" y="-1"></use>
</g>
<g transform="translate(14164,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="620" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="60" y="676"></use>
 <use xlink:href="#E1-MJMATHI-73" x="75" y="-686"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="15302" y="0"></use>
<g transform="translate(16358,0)">
 <use xlink:href="#E1-MJMAIN-30"></use>
 <use xlink:href="#E1-MJMAIN-2E" x="500" y="0"></use>
</g>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:39.804ex;height:6.176ex alt="{\displaystyle +{\frac {v\varrho }{s}}{\frac {\partial {\mathfrak {U}}}{\partial x}}+\left({\frac {\partial \psi }{ \partial x}}{\frac {\partial {\mathfrak {U}}}{\partial \varrho }}-{\frac {\partial \psi }{\partial \varrho }}{\frac {\partial { \mathfrak {U}}}{\partial x}}\right){\frac {1}{s}}=0.}" data-moz-translations-id=72></span></p></td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>This equation is satisfied if</font></font></p>
|
||
<table width=100%>
|
||
<tbody>
|
||
<tr>
|
||
<td valign=center style=text-align:left width=5%></td>
|
||
<td align=center><span class=mwe-math-element><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=0><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\begin{array}{lr}{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }}=&v+{\frac {1}{\varrho }}{\frac {\partial \psi _{1}}{\partial \varrho }},\\\\{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial x}}=&{\frac {1}{\varrho }}{\frac {\partial \psi _{1}}{\partial x}},\end{array}}}" data-moz-translations-id=1><semantics data-moz-translations-id=2>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=3>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=4>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=5>
|
||
<mtable columnalign="left right" rowspacing=4pt columnspacing=1em data-moz-translations-id=6>
|
||
<mtr data-moz-translations-id=7>
|
||
<mtd data-moz-translations-id=8>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=9>
|
||
<mfrac data-moz-translations-id=10>
|
||
<mn data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=13>
|
||
<mfrac data-moz-translations-id=14>
|
||
<mrow data-moz-translations-id=15>
|
||
<mi mathvariant=normal data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=18>
|
||
<mi mathvariant=normal data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
</mtd>
|
||
<mtd data-moz-translations-id=22>
|
||
<mi data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=25>
|
||
<mfrac data-moz-translations-id=26>
|
||
<mn data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=29>
|
||
<mfrac data-moz-translations-id=30>
|
||
<mrow data-moz-translations-id=31>
|
||
<mi mathvariant=normal data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<msub data-moz-translations-id=33>
|
||
<mi data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=35>
|
||
<mn data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=37>
|
||
<mi mathvariant=normal data-moz-translations-id=38><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=39><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=41>
|
||
<mtd data-moz-translations-id=42></mtd>
|
||
</mtr>
|
||
<mtr data-moz-translations-id=43>
|
||
<mtd data-moz-translations-id=44>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=45>
|
||
<mfrac data-moz-translations-id=46>
|
||
<mn data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=48><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=49>
|
||
<mfrac data-moz-translations-id=50>
|
||
<mrow data-moz-translations-id=51>
|
||
<mi mathvariant=normal data-moz-translations-id=52><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=53><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=54>
|
||
<mi mathvariant=normal data-moz-translations-id=55><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=56><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=57><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
</mtd>
|
||
<mtd data-moz-translations-id=58>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=59>
|
||
<mfrac data-moz-translations-id=60>
|
||
<mn data-moz-translations-id=61><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=62><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=63>
|
||
<mfrac data-moz-translations-id=64>
|
||
<mrow data-moz-translations-id=65>
|
||
<mi mathvariant=normal data-moz-translations-id=66><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<msub data-moz-translations-id=67>
|
||
<mi data-moz-translations-id=68><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=69>
|
||
<mn data-moz-translations-id=70><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=71>
|
||
<mi mathvariant=normal data-moz-translations-id=72><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=73><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=74><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mtd>
|
||
</mtr>
|
||
</mtable>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=75><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\begin{array}{lr}{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }}=&v+{\frac {1}{\varrho }}{\frac {\partial \psi _{1}}{\partial \varrho }},\\\\{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial x}}=&{\frac {1}{\varrho }}{\frac {\partial \psi _{1}}{\partial x}},\end{array}}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="20.022ex" height="12.509ex" style="vertical-align: -5.671ex;" viewBox="0 -2944.1 8620.6 5385.9" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\begin{array}{lr}{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }}=&amp;v+{\frac {1}{\varrho }}{\frac {\partial \psi _{1}}{\partial \varrho }},\\\\{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial x}}=&amp;{\frac {1}{\varrho }}{\frac {\partial \psi _{1}}{\partial x}},\end{array}}}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C8" d="M161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMATHI-76" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
<g transform="translate(167,0)">
<g transform="translate(-11,0)">
<g transform="translate(0,1685)">
<g transform="translate(120,0)">
<rect stroke="none" width="485" height="60" x="0" y="220"></rect>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="93" y="629"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3F1" x="84" y="-488"></use>
</g>
<g transform="translate(725,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="981" height="60" x="0" y="220"></rect>
<g transform="translate(60,590)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(107,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="2225" y="0"></use>
</g>
<g transform="translate(0,-1829)">
<g transform="translate(120,0)">
<rect stroke="none" width="485" height="60" x="0" y="220"></rect>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="93" y="629"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3F1" x="84" y="-488"></use>
</g>
<g transform="translate(725,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="981" height="60" x="0" y="220"></rect>
<g transform="translate(60,590)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(87,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="2225" y="0"></use>
</g>
</g>
<g transform="translate(3993,0)">
<g transform="translate(0,1685)">
 <use xlink:href="#E1-MJMATHI-76" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2B" x="707" y="0"></use>
<g transform="translate(1708,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="485" height="60" x="0" y="220"></rect>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="93" y="629"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3F1" x="84" y="-488"></use>
</g>
</g>
<g transform="translate(2434,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,619)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
<g transform="translate(401,0)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3C8" x="0" y="0"></use>
 <use transform="scale(0.574)" xlink:href="#E1-MJMAIN-31" x="802" y="-304"></use>
</g>
</g>
<g transform="translate(286,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="4014" y="0"></use>
</g>
<g transform="translate(1708,-1829)">
<g transform="translate(120,0)">
<rect stroke="none" width="485" height="60" x="0" y="220"></rect>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="93" y="629"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3F1" x="84" y="-488"></use>
</g>
<g transform="translate(725,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,619)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
<g transform="translate(401,0)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-3C8" x="0" y="0"></use>
 <use transform="scale(0.574)" xlink:href="#E1-MJMAIN-31" x="802" y="-304"></use>
</g>
</g>
<g transform="translate(266,-451)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="2305" y="0"></use>
</g>
</g>
</g>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-5.671ex;width:20.022ex;height:12.509ex alt="{\displaystyle {\begin{array}{lr}{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial \varrho }}=&v+{\frac {1}{\varrho }}{\frac {\partial \psi _{1}}{\partial \varrho }},\\\\{\frac {1}{\varrho }}{\frac {\partial \psi }{\partial x}}=&{\frac {1}{\varrho }}{\frac {\partial \psi _{1}}{\partial x}},\end{array}}}" data-moz-translations-id=76></span> <p><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\frac {1}{\varrho ^{2}}}\left({\frac {\partial ^{2}\psi _{1}}{\partial \varrho ^{2}}}-{\frac {1}{\varrho }}{\frac {\partial \psi _{1}}{\partial \varrho }}+{\frac {\partial ^{2}\psi _{1}}{\partial x^{2}}}\right)=-{\frac {{\mathfrak {U}}A}{s}}}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mfrac data-moz-translations-id=7>
|
||
<mn data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<msup data-moz-translations-id=9>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=11>
|
||
<mn data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=13>
|
||
<mo data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=15>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=16>
|
||
<mfrac data-moz-translations-id=17>
|
||
<mrow data-moz-translations-id=18>
|
||
<msup data-moz-translations-id=19>
|
||
<mi mathvariant=normal data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=21>
|
||
<mn data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msub data-moz-translations-id=23>
|
||
<mi data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=25>
|
||
<mn data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=27>
|
||
<mi mathvariant=normal data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<msup data-moz-translations-id=29>
|
||
<mi data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=31>
|
||
<mn data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=34>
|
||
<mfrac data-moz-translations-id=35>
|
||
<mn data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=38>
|
||
<mfrac data-moz-translations-id=39>
|
||
<mrow data-moz-translations-id=40>
|
||
<mi mathvariant=normal data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<msub data-moz-translations-id=42>
|
||
<mi data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=44>
|
||
<mn data-moz-translations-id=45><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=46>
|
||
<mi mathvariant=normal data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=48><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=49><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=50>
|
||
<mfrac data-moz-translations-id=51>
|
||
<mrow data-moz-translations-id=52>
|
||
<msup data-moz-translations-id=53>
|
||
<mi mathvariant=normal data-moz-translations-id=54><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=55>
|
||
<mn data-moz-translations-id=56><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msub data-moz-translations-id=57>
|
||
<mi data-moz-translations-id=58><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=59>
|
||
<mn data-moz-translations-id=60><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=61>
|
||
<mi mathvariant=normal data-moz-translations-id=62><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<msup data-moz-translations-id=63>
|
||
<mi data-moz-translations-id=64><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=65>
|
||
<mn data-moz-translations-id=66><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=67><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mo data-moz-translations-id=68><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mo data-moz-translations-id=69><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=70>
|
||
<mfrac data-moz-translations-id=71>
|
||
<mrow data-moz-translations-id=72>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=73>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=74>
|
||
<mi mathvariant=fraktur data-moz-translations-id=75><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
U
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mi data-moz-translations-id=76><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mi data-moz-translations-id=77><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
s
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=78><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\frac {1}{\varrho ^{2}}}\left({\frac {\partial ^{2}\psi _{1}}{\partial \varrho ^{2}}}- {\frac {1}{\varrho }}{\frac {\partial \psi _{1}}{\partial \varrho }}+{\frac {\partial ^{2}\psi _{1}}{ \partial x^{2}}}\right)=-{\frac {{\mathfrak {U}}A}{s}}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="39.975ex" height="6.343ex" style="vertical-align: -2.505ex;" viewBox="0 -1652.5 17211.3 2730.8" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\frac {1}{\varrho ^{2}}}\left({\frac {\partial ^{2}\psi _{1}}{\partial \varrho ^{2}}}-{\frac {1}{\varrho }}{\frac {\partial \psi _{1}}{\partial \varrho }}+{\frac {\partial ^{2}\psi _{1}}{\partial x^{2}}}\right)=-{\frac {{\mathfrak {U}}A}{s}}}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C8" d="M161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJFRAK-55" d="M160 247Q160 291 110 382T59 505Q59 542 106 597T207 690L218 697L229 682Q229 680 216 669T187 644T158 604T144 552Q144 526 165 482T207 387T228 291Q228 277 228 267T224 247T219 232T210 217T199 202T184 184T166 163L118 107Q124 105 132 105T160 98T220 77Q298 47 317 47Q354 47 409 105Q444 142 451 161T458 244V277Q458 339 455 457T447 596L575 686L591 676L583 668Q550 632 541 587T532 449V372V298Q532 198 550 147Q572 79 605 79Q617 79 631 84T656 95L665 100V79L595 27Q578 15 560 2T532 -19L523 -26Q522 -26 490 42L458 111L397 50Q389 42 374 27T355 8T340 -5T325 -16T311 -22T294 -26T274 -27Q232 -25 152 6T35 37Q28 36 19 30T4 18T-8 4T-16 -5Q-25 10 -25 11T-20 18Q-5 34 15 57L54 101Q70 103 86 116Q94 121 113 140T137 166Q160 201 160 247Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMATHI-73" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
<g transform="translate(120,0)">
<rect stroke="none" width="1091" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="295" y="676"></use>
<g transform="translate(60,-780)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
<g transform="translate(1498,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="2257" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="817" y="513"></use>
<g transform="translate(1032,0)">
 <use xlink:href="#E1-MJMATHI-3C8" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="921" y="-213"></use>
</g>
</g>
<g transform="translate(359,-780)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
<g transform="translate(567,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="2719" y="0"></use>
<g transform="translate(3720,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="637" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="68" y="676"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="60" y="-686"></use>
</g>
</g>
<g transform="translate(4598,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1792" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
<g transform="translate(567,0)">
 <use xlink:href="#E1-MJMATHI-3C8" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="921" y="-213"></use>
</g>
</g>
<g transform="translate(353,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="6853" y="0"></use>
<g transform="translate(7853,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="2257" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="817" y="513"></use>
<g transform="translate(1032,0)">
 <use xlink:href="#E1-MJMATHI-3C8" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="921" y="-213"></use>
</g>
</g>
<g transform="translate(331,-780)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
<g transform="translate(567,0)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="809" y="408"></use>
</g>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="11088" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="13600" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="14656" y="0"></use>
<g transform="translate(15435,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1536" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJFRAK-55" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-41" x="665" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-73" x="533" y="-686"></use>
</g>
</g>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:39.975ex;height:6.343ex alt="{\displaystyle {\frac {1}{\varrho ^{2}}}\left({\frac {\partial ^{2}\psi _{1}}{\partial \varrho ^{2}}}- {\frac {1}{\varrho }}{\frac {\partial \psi _{1}}{\partial \varrho }}+{\frac {\partial ^{2}\psi _{1}}{ \partial x^{2}}}\right)=-{\frac {{\mathfrak {U}}A}{s}}}" data-moz-translations-id=79></span></p></td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>is. It is</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\mathfrak {U}}=-{\frac {3A}{\left(x^{2}+\varrho ^{2}\left(1-A^{2}v^{2}\right)\right)^{3}}}.}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=7>
|
||
<mi mathvariant=fraktur data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
U
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mo data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=11>
|
||
<mfrac data-moz-translations-id=12>
|
||
<mrow data-moz-translations-id=13>
|
||
<mn data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
3
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
</mrow>
|
||
<msup data-moz-translations-id=16>
|
||
<mrow data-moz-translations-id=17>
|
||
<mo data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=19>
|
||
<msup data-moz-translations-id=20>
|
||
<mi data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=22>
|
||
<mn data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<msup data-moz-translations-id=25>
|
||
<mi data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=27>
|
||
<mn data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mrow data-moz-translations-id=29>
|
||
<mo data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=31>
|
||
<mn data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<msup data-moz-translations-id=34>
|
||
<mi data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=36>
|
||
<mn data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=38>
|
||
<mi data-moz-translations-id=39><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=40>
|
||
<mn data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
<mo data-moz-translations-id=42><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=44>
|
||
<mn data-moz-translations-id=45><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
3
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=46><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
.
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\mathfrak {U}}=-{\frac {3A}{\left(x^{2}+\varrho ^{2}\left(1-A^{2}v^{2}\ right)\right)^{3}}}.}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="29.515ex" height="6.676ex" style="vertical-align: -3.171ex; margin-left: -0.057ex;" viewBox="-24.5 -1508.9 12707.6 2874.4" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\mathfrak {U}}=-{\frac {3A}{\left(x^{2}+\varrho ^{2}\left(1-A^{2}v^{2}\right)\right)^{3}}}.}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJFRAK-55" d="M160 247Q160 291 110 382T59 505Q59 542 106 597T207 690L218 697L229 682Q229 680 216 669T187 644T158 604T144 552Q144 526 165 482T207 387T228 291Q228 277 228 267T224 247T219 232T210 217T199 202T184 184T166 163L118 107Q124 105 132 105T160 98T220 77Q298 47 317 47Q354 47 409 105Q444 142 451 161T458 244V277Q458 339 455 457T447 596L575 686L591 676L583 668Q550 632 541 587T532 449V372V298Q532 198 550 147Q572 79 605 79Q617 79 631 84T656 95L665 100V79L595 27Q578 15 560 2T532 -19L523 -26Q522 -26 490 42L458 111L397 50Q389 42 374 27T355 8T340 -5T325 -16T311 -22T294 -26T274 -27Q232 -25 152 6T35 37Q28 36 19 30T4 18T-8 4T-16 -5Q-25 10 -25 11T-20 18Q-5 34 15 57L54 101Q70 103 86 116Q94 121 113 140T137 166Q160 201 160 247Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMATHI-76" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJFRAK-55" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="943" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="1999" y="0"></use>
<g transform="translate(2778,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="9386" height="60" x="0" y="220"></rect>
<g transform="translate(4067,676)">
 <use xlink:href="#E1-MJMAIN-33" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-41" x="500" y="0"></use>
</g>
<g transform="translate(60,-978)">
 <use xlink:href="#E1-MJMAIN-28"></use>
<g transform="translate(389,0)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="809" y="408"></use>
 <use xlink:href="#E1-MJMAIN-2B" x="1248" y="0"></use>
<g transform="translate(2249,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
<g transform="translate(3387,0)">
 <use xlink:href="#E1-MJMAIN-28"></use>
<g transform="translate(389,0)">
 <use xlink:href="#E1-MJMAIN-31" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="722" y="0"></use>
<g transform="translate(1723,0)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1061" y="408"></use>
</g>
<g transform="translate(2927,0)">
 <use xlink:href="#E1-MJMATHI-76" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="686" y="408"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-29" x="4256" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-29" x="8423" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-33" x="12463" y="689"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2E" x="12404" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-3.171ex;margin-left:-0.057ex;width:29.515ex;height:6.676ex alt="{\displaystyle {\mathfrak {U}}=-{\frac {3A}{\left(x^{2}+\varrho ^{2}\left(1-A^{2}v^{2}\ right)\right)^{3}}}.}" data-moz-translations-id=48></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>To integrate the differential equation, we set</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \psi _{1}=\varrho \varphi .}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<msub data-moz-translations-id=6>
|
||
<mi data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=8>
|
||
<mn data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
<mo data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
.
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \psi _{1}=\varrho \varphi .}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.838ex;width:9.035ex;height:2.676ex alt="{\displaystyle \psi _{1}=\varrho \varphi .}" data-moz-translations-id=15></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Then it will be</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\frac {\partial ^{2}\varphi }{\partial \varrho ^{2}}}+{\frac {1}{\varrho }}{\frac {\partial \varphi }{\partial \varrho }}-{\frac {1}{\varrho ^{2}}}\varphi +{\frac {\partial ^{2}\varphi }{\partial x^{2}}}=-{\frac {\varrho {\mathfrak {U}}A}{s}}}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mfrac data-moz-translations-id=7>
|
||
<mrow data-moz-translations-id=8>
|
||
<msup data-moz-translations-id=9>
|
||
<mi mathvariant=normal data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=11>
|
||
<mn data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=14>
|
||
<mi mathvariant=normal data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<msup data-moz-translations-id=16>
|
||
<mi data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=18>
|
||
<mn data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=21>
|
||
<mfrac data-moz-translations-id=22>
|
||
<mn data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=25>
|
||
<mfrac data-moz-translations-id=26>
|
||
<mrow data-moz-translations-id=27>
|
||
<mi mathvariant=normal data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=30>
|
||
<mi mathvariant=normal data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=34>
|
||
<mfrac data-moz-translations-id=35>
|
||
<mn data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<msup data-moz-translations-id=37>
|
||
<mi data-moz-translations-id=38><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=39>
|
||
<mn data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mi data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=42><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=43>
|
||
<mfrac data-moz-translations-id=44>
|
||
<mrow data-moz-translations-id=45>
|
||
<msup data-moz-translations-id=46>
|
||
<mi mathvariant=normal data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=48>
|
||
<mn data-moz-translations-id=49><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=50><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=51>
|
||
<mi mathvariant=normal data-moz-translations-id=52><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<msup data-moz-translations-id=53>
|
||
<mi data-moz-translations-id=54><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=55>
|
||
<mn data-moz-translations-id=56><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=57><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mo data-moz-translations-id=58><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=59>
|
||
<mfrac data-moz-translations-id=60>
|
||
<mrow data-moz-translations-id=61>
|
||
<mi data-moz-translations-id=62><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=63>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=64>
|
||
<mi mathvariant=fraktur data-moz-translations-id=65><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
U
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mi data-moz-translations-id=66><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mi data-moz-translations-id=67><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
s
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=68><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\frac {\partial ^{2}\varphi }{\partial \varrho ^{2}}}+{\frac {1}{\varrho }}{\frac {\partial \varphi }{\ partial \varrho }}-{\frac {1}{\varrho ^{2}}}\varphi +{\frac {\partial ^{2}\varphi }{\partial x^{2}}}=-{ \frac {\varrho {\mathfrak {U}}A}{s}}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="38.587ex" height="6.343ex" style="vertical-align: -2.505ex;" viewBox="0 -1652.5 16613.8 2730.8" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\frac {\partial ^{2}\varphi }{\partial \varrho ^{2}}}+{\frac {1}{\varrho }}{\frac {\partial \varphi }{\partial \varrho }}-{\frac {1}{\varrho ^{2}}}\varphi +{\frac {\partial ^{2}\varphi }{\partial x^{2}}}=-{\frac {\varrho {\mathfrak {U}}A}{s}}}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C6" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJFRAK-55" d="M160 247Q160 291 110 382T59 505Q59 542 106 597T207 690L218 697L229 682Q229 680 216 669T187 644T158 604T144 552Q144 526 165 482T207 387T228 291Q228 277 228 267T224 247T219 232T210 217T199 202T184 184T166 163L118 107Q124 105 132 105T160 98T220 77Q298 47 317 47Q354 47 409 105Q444 142 451 161T458 244V277Q458 339 455 457T447 596L575 686L591 676L583 668Q550 632 541 587T532 449V372V298Q532 198 550 147Q572 79 605 79Q617 79 631 84T656 95L665 100V79L595 27Q578 15 560 2T532 -19L523 -26Q522 -26 490 42L458 111L397 50Q389 42 374 27T355 8T340 -5T325 -16T311 -22T294 -26T274 -27Q232 -25 152 6T35 37Q28 36 19 30T4 18T-8 4T-16 -5Q-25 10 -25 11T-20 18Q-5 34 15 57L54 101Q70 103 86 116Q94 121 113 140T137 166Q160 201 160 247Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMATHI-73" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
<g transform="translate(120,0)">
<rect stroke="none" width="1806" height="60" x="0" y="220"></rect>
<g transform="translate(60,738)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="817" y="513"></use>
 <use xlink:href="#E1-MJMATHI-3C6" x="1032" y="0"></use>
</g>
<g transform="translate(133,-780)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
<g transform="translate(567,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="2268" y="0"></use>
<g transform="translate(3269,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="637" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="68" y="676"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="60" y="-686"></use>
</g>
</g>
<g transform="translate(4147,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1342" height="60" x="0" y="220"></rect>
<g transform="translate(60,738)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C6" x="567" y="0"></use>
</g>
<g transform="translate(128,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="5951" y="0"></use>
<g transform="translate(6952,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1091" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="295" y="676"></use>
<g transform="translate(60,-780)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMATHI-3C6" x="8283" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2B" x="9160" y="0"></use>
<g transform="translate(10160,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1806" height="60" x="0" y="220"></rect>
<g transform="translate(60,738)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="817" y="513"></use>
 <use xlink:href="#E1-MJMATHI-3C6" x="1032" y="0"></use>
</g>
<g transform="translate(106,-780)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
<g transform="translate(567,0)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="809" y="408"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="12485" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="13541" y="0"></use>
<g transform="translate(14320,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="2053" height="60" x="0" y="220"></rect>
<g transform="translate(60,714)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-55" x="517" y="0"></use>
 <use xlink:href="#E1-MJMATHI-41" x="1183" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-73" x="792" y="-686"></use>
</g>
</g>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:38.587ex;height:6.343ex alt="{\displaystyle {\frac {\partial ^{2}\varphi }{\partial \varrho ^{2}}}+{\frac {1}{\varrho }}{\frac {\partial \varphi }{\ partial \varrho }}-{\frac {1}{\varrho ^{2}}}\varphi +{\frac {\partial ^{2}\varphi }{\partial x^{2}}}=-{ \frac {\varrho {\mathfrak {U}}A}{s}}}" data-moz-translations-id=69></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>We first consider the differential equation</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\frac {\partial ^{2}\varphi _{1}}{\partial \varrho ^{2}}}+{\frac {1}{\varrho }}{\frac {\partial \varphi _{1}}{\partial \varrho }}+{\frac {1}{\varrho ^{2}}}{\frac {\partial ^{2}\varphi _{1}}{\partial \vartheta ^{2}}}+{\frac {\partial ^{2}\varphi _{1}}{\partial x^{2}}}=-{\frac {\varrho {\mathfrak {U}}A}{s}}\sin \vartheta .}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mfrac data-moz-translations-id=7>
|
||
<mrow data-moz-translations-id=8>
|
||
<msup data-moz-translations-id=9>
|
||
<mi mathvariant=normal data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=11>
|
||
<mn data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msub data-moz-translations-id=13>
|
||
<mi data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=15>
|
||
<mn data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=17>
|
||
<mi mathvariant=normal data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<msup data-moz-translations-id=19>
|
||
<mi data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=21>
|
||
<mn data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=24>
|
||
<mfrac data-moz-translations-id=25>
|
||
<mn data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=28>
|
||
<mfrac data-moz-translations-id=29>
|
||
<mrow data-moz-translations-id=30>
|
||
<mi mathvariant=normal data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<msub data-moz-translations-id=32>
|
||
<mi data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=34>
|
||
<mn data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=36>
|
||
<mi mathvariant=normal data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=38><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=39><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=40>
|
||
<mfrac data-moz-translations-id=41>
|
||
<mn data-moz-translations-id=42><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<msup data-moz-translations-id=43>
|
||
<mi data-moz-translations-id=44><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=45>
|
||
<mn data-moz-translations-id=46><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=47>
|
||
<mfrac data-moz-translations-id=48>
|
||
<mrow data-moz-translations-id=49>
|
||
<msup data-moz-translations-id=50>
|
||
<mi mathvariant=normal data-moz-translations-id=51><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=52>
|
||
<mn data-moz-translations-id=53><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msub data-moz-translations-id=54>
|
||
<mi data-moz-translations-id=55><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=56>
|
||
<mn data-moz-translations-id=57><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=58>
|
||
<mi mathvariant=normal data-moz-translations-id=59><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<msup data-moz-translations-id=60>
|
||
<mi data-moz-translations-id=61><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϑ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=62>
|
||
<mn data-moz-translations-id=63><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=64><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=65>
|
||
<mfrac data-moz-translations-id=66>
|
||
<mrow data-moz-translations-id=67>
|
||
<msup data-moz-translations-id=68>
|
||
<mi mathvariant=normal data-moz-translations-id=69><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=70>
|
||
<mn data-moz-translations-id=71><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msub data-moz-translations-id=72>
|
||
<mi data-moz-translations-id=73><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=74>
|
||
<mn data-moz-translations-id=75><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=76>
|
||
<mi mathvariant=normal data-moz-translations-id=77><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<msup data-moz-translations-id=78>
|
||
<mi data-moz-translations-id=79><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=80>
|
||
<mn data-moz-translations-id=81><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=82><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mo data-moz-translations-id=83><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=84>
|
||
<mfrac data-moz-translations-id=85>
|
||
<mrow data-moz-translations-id=86>
|
||
<mi data-moz-translations-id=87><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=88>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=89>
|
||
<mi mathvariant=fraktur data-moz-translations-id=90><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
U
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mi data-moz-translations-id=91><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mi data-moz-translations-id=92><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
s
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mi data-moz-translations-id=93><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=94><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=95><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϑ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=96><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
.
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=97><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\frac {\partial ^{2}\varphi _{1}}{\partial \varrho ^{2}}}+{\frac {1}{\varrho }}{\frac {\partial \ varphi _{1}}{\partial \varrho }}+{\frac {1}{\varrho ^{2}}}{\frac {\partial ^{2}\varphi _{1}}{\partial \ vartheta ^{2}}}+{\frac {\partial ^{2}\varphi _{1}}{\partial x^{2}}}=-{\frac {\varrho {\mathfrak {U}} A}{s}}\sin \vartheta .}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="51.688ex" height="6.343ex" style="vertical-align: -2.505ex;" viewBox="0 -1652.5 22254.5 2730.8" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\frac {\partial ^{2}\varphi _{1}}{\partial \varrho ^{2}}}+{\frac {1}{\varrho }}{\frac {\partial \varphi _{1}}{\partial \varrho }}+{\frac {1}{\varrho ^{2}}}{\frac {\partial ^{2}\varphi _{1}}{\partial \vartheta ^{2}}}+{\frac {\partial ^{2}\varphi _{1}}{\partial x^{2}}}=-{\frac {\varrho {\mathfrak {U}}A}{s}}\sin \vartheta .}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C6" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3D1" d="M537 500Q537 474 533 439T524 383L521 362Q558 355 561 351Q563 349 563 345Q563 321 552 318Q542 318 521 323L510 326Q496 261 459 187T362 51T241 -11Q100 -11 100 105Q100 139 127 242T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Q21 291 27 313T47 368T79 418Q103 442 134 442Q169 442 201 419T233 344Q232 330 206 228T180 98Q180 26 247 26Q292 26 332 90T404 260L427 349Q422 349 398 359T339 392T289 440Q265 476 265 520Q265 590 312 647T417 705Q463 705 491 670T528 592T537 500ZM464 564Q464 668 413 668Q373 668 339 622T304 522Q304 494 317 470T349 431T388 406T421 391T435 387H436L443 415Q450 443 457 485T464 564Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJFRAK-55" d="M160 247Q160 291 110 382T59 505Q59 542 106 597T207 690L218 697L229 682Q229 680 216 669T187 644T158 604T144 552Q144 526 165 482T207 387T228 291Q228 277 228 267T224 247T219 232T210 217T199 202T184 184T166 163L118 107Q124 105 132 105T160 98T220 77Q298 47 317 47Q354 47 409 105Q444 142 451 161T458 244V277Q458 339 455 457T447 596L575 686L591 676L583 668Q550 632 541 587T532 449V372V298Q532 198 550 147Q572 79 605 79Q617 79 631 84T656 95L665 100V79L595 27Q578 15 560 2T532 -19L523 -26Q522 -26 490 42L458 111L397 50Q389 42 374 27T355 8T340 -5T325 -16T311 -22T294 -26T274 -27Q232 -25 152 6T35 37Q28 36 19 30T4 18T-8 4T-16 -5Q-25 10 -25 11T-20 18Q-5 34 15 57L54 101Q70 103 86 116Q94 121 113 140T137 166Q160 201 160 247Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMATHI-73" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z"></path>
<path stroke-width="1" id="E1-MJMAIN-69" d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
<g transform="translate(120,0)">
<rect stroke="none" width="2260" height="60" x="0" y="220"></rect>
<g transform="translate(60,738)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="817" y="513"></use>
<g transform="translate(1032,0)">
 <use xlink:href="#E1-MJMATHI-3C6" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="925" y="-213"></use>
</g>
</g>
<g transform="translate(360,-780)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
<g transform="translate(567,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="2722" y="0"></use>
<g transform="translate(3723,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="637" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="68" y="676"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="60" y="-686"></use>
</g>
</g>
<g transform="translate(4601,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1795" height="60" x="0" y="220"></rect>
<g transform="translate(60,738)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
<g transform="translate(567,0)">
 <use xlink:href="#E1-MJMATHI-3C6" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="925" y="-213"></use>
</g>
</g>
<g transform="translate(355,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="6859" y="0"></use>
<g transform="translate(7859,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1091" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="295" y="676"></use>
<g transform="translate(60,-780)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
</g>
<g transform="translate(9191,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="2260" height="60" x="0" y="220"></rect>
<g transform="translate(60,738)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="817" y="513"></use>
<g transform="translate(1032,0)">
 <use xlink:href="#E1-MJMATHI-3C6" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="925" y="-213"></use>
</g>
</g>
<g transform="translate(323,-780)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
<g transform="translate(567,0)">
 <use xlink:href="#E1-MJMATHI-3D1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="836" y="408"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="11914" y="0"></use>
<g transform="translate(12914,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="2260" height="60" x="0" y="220"></rect>
<g transform="translate(60,738)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="817" y="513"></use>
<g transform="translate(1032,0)">
 <use xlink:href="#E1-MJMATHI-3C6" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="925" y="-213"></use>
</g>
</g>
<g transform="translate(333,-780)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
<g transform="translate(567,0)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="809" y="408"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="15693" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="16749" y="0"></use>
<g transform="translate(17528,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="2053" height="60" x="0" y="220"></rect>
<g transform="translate(60,714)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-55" x="517" y="0"></use>
 <use xlink:href="#E1-MJMATHI-41" x="1183" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-73" x="792" y="-686"></use>
</g>
</g>
<g transform="translate(19988,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3D1" x="21384" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2E" x="21976" y="0"></use>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:51.688ex;height:6.343ex alt="{\displaystyle {\frac {\partial ^{2}\varphi _{1}}{\partial \varrho ^{2}}}+{\frac {1}{\varrho }}{\frac {\partial \ varphi _{1}}{\partial \varrho }}+{\frac {1}{\varrho ^{2}}}{\frac {\partial ^{2}\varphi _{1}}{\partial \ vartheta ^{2}}}+{\frac {\partial ^{2}\varphi _{1}}{\partial x^{2}}}=-{\frac {\varrho {\mathfrak {U}} A}{s}}\sin \vartheta .}" data-moz-translations-id=98></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Their integral is</font></font></p>
|
||
<table width=100%>
|
||
<tbody>
|
||
<tr>
|
||
<td valign=center style=text-align:left width=5%></td>
|
||
<td align=center><span class=mwe-math-element><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=0><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \varphi _{1}={\frac {A}{4\pi s}}\int \int \int {\frac {d\varrho '\ d\vartheta '\ dx'\ \varrho '^{2}\ {\mathfrak {U}}'\sin \vartheta '}{\sqrt {\left(x-x'\right)^{2}+\varrho ^{2}+\varrho '^{2}-2\varrho \varrho '\cos(\vartheta -\vartheta ')}}},}" data-moz-translations-id=1><semantics data-moz-translations-id=2>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=3>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=4>
|
||
<msub data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=7>
|
||
<mn data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
<mo data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=10>
|
||
<mfrac data-moz-translations-id=11>
|
||
<mi data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow data-moz-translations-id=13>
|
||
<mn data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
4
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
π</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
s
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∫</font></font>
|
||
</mo>
|
||
<mo data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∫</font></font>
|
||
</mo>
|
||
<mo data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∫</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=20>
|
||
<mfrac data-moz-translations-id=21>
|
||
<mrow data-moz-translations-id=22>
|
||
<mi data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<msup data-moz-translations-id=24>
|
||
<mi data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
′
|
||
</font></font></mo>
|
||
</msup>
|
||
<mtext data-moz-translations-id=27>
|
||
|
||
</mtext>
|
||
<mi data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<msup data-moz-translations-id=29>
|
||
<mi data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϑ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
′
|
||
</font></font></mo>
|
||
</msup>
|
||
<mtext data-moz-translations-id=32>
|
||
|
||
</mtext>
|
||
<mi data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<msup data-moz-translations-id=34>
|
||
<mi data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
′
|
||
</font></font></mo>
|
||
</msup>
|
||
<mtext data-moz-translations-id=37>
|
||
|
||
</mtext>
|
||
<msup data-moz-translations-id=38>
|
||
<mi data-moz-translations-id=39><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow data-moz-translations-id=40>
|
||
<mo class=MJX-variant data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
′
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=42>
|
||
<mn data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</mrow>
|
||
</msup>
|
||
<mtext data-moz-translations-id=44>
|
||
|
||
</mtext>
|
||
<msup data-moz-translations-id=45>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=46>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=47>
|
||
<mi mathvariant=fraktur data-moz-translations-id=48><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
U
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=49><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
′
|
||
</font></font></mo>
|
||
</msup>
|
||
<mi data-moz-translations-id=50><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=51><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<msup data-moz-translations-id=52>
|
||
<mi data-moz-translations-id=53><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϑ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=54><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
′
|
||
</font></font></mo>
|
||
</msup>
|
||
</mrow>
|
||
<msqrt data-moz-translations-id=55>
|
||
<msup data-moz-translations-id=56>
|
||
<mrow data-moz-translations-id=57>
|
||
<mo data-moz-translations-id=58><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=59>
|
||
<mi data-moz-translations-id=60><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=61><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<msup data-moz-translations-id=62>
|
||
<mi data-moz-translations-id=63><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=64><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
′
|
||
</font></font></mo>
|
||
</msup>
|
||
</mrow>
|
||
<mo data-moz-translations-id=65><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=66>
|
||
<mn data-moz-translations-id=67><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=68><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<msup data-moz-translations-id=69>
|
||
<mi data-moz-translations-id=70><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=71>
|
||
<mn data-moz-translations-id=72><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=73><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<msup data-moz-translations-id=74>
|
||
<mi data-moz-translations-id=75><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow data-moz-translations-id=76>
|
||
<mo class=MJX-variant data-moz-translations-id=77><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
′
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=78>
|
||
<mn data-moz-translations-id=79><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=80><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mn data-moz-translations-id=81><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=82><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<msup data-moz-translations-id=83>
|
||
<mi data-moz-translations-id=84><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=85><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
′
|
||
</font></font></mo>
|
||
</msup>
|
||
<mi data-moz-translations-id=86><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
cos
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=87><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mo stretchy=false data-moz-translations-id=88><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=89><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϑ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=90><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<msup data-moz-translations-id=91>
|
||
<mi data-moz-translations-id=92><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϑ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=93><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
′
|
||
</font></font></mo>
|
||
</msup>
|
||
<mo stretchy=false data-moz-translations-id=94><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</msqrt>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=95><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=96><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \varphi _{1}={\frac {A}{4\pi s}}\int \int \int {\frac {d\varrho '\ d\vartheta '\ dx'\ \varrho '^ {2}\ {\mathfrak {U}}'\sin \vartheta '}{\sqrt {\left(xx'\right)^{2}+\varrho ^{2}+\varrho '^{2}- 2\varrho \varrho '\cos(\vartheta -\vartheta ')}}},}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="60.395ex" height="8.509ex" style="vertical-align: -4.671ex;" viewBox="0 -1652.5 26003.5 3663.7" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle \varphi _{1}={\frac {A}{4\pi s}}\int \int \int {\frac {d\varrho '\ d\vartheta '\ dx'\ \varrho '^{2}\ {\mathfrak {U}}'\sin \vartheta '}{\sqrt {\left(x-x'\right)^{2}+\varrho ^{2}+\varrho '^{2}-2\varrho \varrho '\cos(\vartheta -\vartheta ')}}},}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-3C6" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMAIN-34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C0" d="M132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11Z"></path>
<path stroke-width="1" id="E1-MJMATHI-73" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path>
<path stroke-width="1" id="E1-MJSZ2-222B" d="M114 -798Q132 -824 165 -824H167Q195 -824 223 -764T275 -600T320 -391T362 -164Q365 -143 367 -133Q439 292 523 655T645 1127Q651 1145 655 1157T672 1201T699 1257T733 1306T777 1346T828 1360Q884 1360 912 1325T944 1245Q944 1220 932 1205T909 1186T887 1183Q866 1183 849 1198T832 1239Q832 1287 885 1296L882 1300Q879 1303 874 1307T866 1313Q851 1323 833 1323Q819 1323 807 1311T775 1255T736 1139T689 936T633 628Q574 293 510 -5T410 -437T355 -629Q278 -862 165 -862Q125 -862 92 -831T55 -746Q55 -711 74 -698T112 -685Q133 -685 150 -700T167 -741Q167 -789 114 -798Z"></path>
<path stroke-width="1" id="E1-MJMATHI-64" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3D1" d="M537 500Q537 474 533 439T524 383L521 362Q558 355 561 351Q563 349 563 345Q563 321 552 318Q542 318 521 323L510 326Q496 261 459 187T362 51T241 -11Q100 -11 100 105Q100 139 127 242T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Q21 291 27 313T47 368T79 418Q103 442 134 442Q169 442 201 419T233 344Q232 330 206 228T180 98Q180 26 247 26Q292 26 332 90T404 260L427 349Q422 349 398 359T339 392T289 440Q265 476 265 520Q265 590 312 647T417 705Q463 705 491 670T528 592T537 500ZM464 564Q464 668 413 668Q373 668 339 622T304 522Q304 494 317 470T349 431T388 406T421 391T435 387H436L443 415Q450 443 457 485T464 564Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJFRAK-55" d="M160 247Q160 291 110 382T59 505Q59 542 106 597T207 690L218 697L229 682Q229 680 216 669T187 644T158 604T144 552Q144 526 165 482T207 387T228 291Q228 277 228 267T224 247T219 232T210 217T199 202T184 184T166 163L118 107Q124 105 132 105T160 98T220 77Q298 47 317 47Q354 47 409 105Q444 142 451 161T458 244V277Q458 339 455 457T447 596L575 686L591 676L583 668Q550 632 541 587T532 449V372V298Q532 198 550 147Q572 79 605 79Q617 79 631 84T656 95L665 100V79L595 27Q578 15 560 2T532 -19L523 -26Q522 -26 490 42L458 111L397 50Q389 42 374 27T355 8T340 -5T325 -16T311 -22T294 -26T274 -27Q232 -25 152 6T35 37Q28 36 19 30T4 18T-8 4T-16 -5Q-25 10 -25 11T-20 18Q-5 34 15 57L54 101Q70 103 86 116Q94 121 113 140T137 166Q160 201 160 247Z"></path>
<path stroke-width="1" id="E1-MJMAIN-73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z"></path>
<path stroke-width="1" id="E1-MJMAIN-69" d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-63" d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z"></path>
<path stroke-width="1" id="E1-MJSZ2-221A" d="M1001 1150Q1017 1150 1020 1132Q1020 1127 741 244L460 -643Q453 -650 436 -650H424Q423 -647 423 -645T421 -640T419 -631T415 -617T408 -594T399 -560T385 -512T367 -448T343 -364T312 -259L203 119L138 41L111 67L212 188L264 248L472 -474L983 1140Q988 1150 1001 1150Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMATHI-3C6" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="925" y="-213"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1386" y="0"></use>
<g transform="translate(2442,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1663" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMATHI-41" x="456" y="676"></use>
<g transform="translate(60,-698)">
 <use xlink:href="#E1-MJMAIN-34" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C0" x="500" y="0"></use>
 <use xlink:href="#E1-MJMATHI-73" x="1074" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ2-222B" x="4512" y="0"></use>
 <use xlink:href="#E1-MJSZ2-222B" x="5623" y="0"></use>
 <use xlink:href="#E1-MJSZ2-222B" x="6734" y="0"></use>
<g transform="translate(7846,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="17638" height="60" x="0" y="220"></rect>
<g transform="translate(3960,714)">
 <use xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
<g transform="translate(523,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2032" x="731" y="513"></use>
</g>
 <use xlink:href="#E1-MJMATHI-64" x="1585" y="0"></use>
<g transform="translate(2109,0)">
 <use xlink:href="#E1-MJMATHI-3D1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2032" x="836" y="513"></use>
</g>
 <use xlink:href="#E1-MJMATHI-64" x="3245" y="0"></use>
<g transform="translate(3769,0)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2032" x="809" y="513"></use>
</g>
<g transform="translate(4886,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
<g transform="translate(517,362)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2032" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="275" y="0"></use>
</g>
</g>
<g transform="translate(6302,0)">
 <use xlink:href="#E1-MJFRAK-55" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2032" x="949" y="601"></use>
</g>
<g transform="translate(7435,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
<g transform="translate(8831,0)">
 <use xlink:href="#E1-MJMATHI-3D1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2032" x="836" y="513"></use>
</g>
</g>
<g transform="translate(60,-1336)">
 <use xlink:href="#E1-MJSZ2-221A" x="0" y="105"></use>
<rect stroke="none" width="16518" height="60" x="1000" y="1196"></rect>
<g transform="translate(1000,0)">
 <use xlink:href="#E1-MJMAIN-28" x="0" y="0"></use>
<g transform="translate(389,0)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="794" y="0"></use>
<g transform="translate(1795,0)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2032" x="809" y="408"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-29" x="3052" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="4867" y="675"></use>
 <use xlink:href="#E1-MJMAIN-2B" x="4117" y="0"></use>
<g transform="translate(5118,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="6312" y="0"></use>
<g transform="translate(7312,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
<g transform="translate(517,288)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2032" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="275" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="8701" y="0"></use>
 <use xlink:href="#E1-MJMAIN-32" x="9702" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="10202" y="0"></use>
<g transform="translate(10720,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2032" x="731" y="408"></use>
</g>
<g transform="translate(11699,0)">
 <use xlink:href="#E1-MJMAIN-63"></use>
 <use xlink:href="#E1-MJMAIN-6F" x="444" y="0"></use>
 <use xlink:href="#E1-MJMAIN-73" x="945" y="0"></use>
</g>
 <use xlink:href="#E1-MJMAIN-28" x="13038" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3D1" x="13428" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="14241" y="0"></use>
<g transform="translate(15242,0)">
 <use xlink:href="#E1-MJMATHI-3D1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2032" x="836" y="408"></use>
</g>
 <use xlink:href="#E1-MJMAIN-29" x="16128" y="0"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="25724" y="0"></use>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-4.671ex;width:60.395ex;height:8.509ex alt="{\displaystyle \varphi _{1}={\frac {A}{4\pi s}}\int \int \int {\frac {d\varrho '\ d\vartheta '\ dx'\ \varrho '^ {2}\ {\mathfrak {U}}'\sin \vartheta '}{\sqrt {\left(xx'\right)^{2}+\varrho ^{2}+\varrho '^{2}- 2\varrho \varrho '\cos(\vartheta -\vartheta ')}}},}" data-moz-translations-id=97></span> <p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>,</font></font><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle =S\sin \vartheta }" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mo data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
S
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϑ</font></font>
|
||
</mi>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle =S\sin \vartheta }
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,PHN2ZyB4bWxuczp4bGluaz0iaHR0cDovL3d3dy53My5vcmcvMTk5OS94bGluayIgd2lkdGg9IjguOTU2ZXgiIGhlaWdodD0iMi4xNzZleCIgc3R5bGU9InZlcnRpY2FsLWFsaWduOiAtMC4zMzhleDsiIHZpZXdCb3g9IjAgLTc5MS4zIDM4NTYuMSA5MzYuOSIgcm9sZT0iaW1nIiBmb2N1c2FibGU9ImZhbHNlIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIGFyaWEtbGFiZWxsZWRieT0iTWF0aEpheC1TVkctMS1UaXRsZSI+Cjx0aXRsZSBpZD0iTWF0aEpheC1TVkctMS1UaXRsZSI+e1xkaXNwbGF5c3R5bGUgPVNcc2luIFx2YXJ0aGV0YSB9PC90aXRsZT4KPGRlZnMgYXJpYS1oaWRkZW49InRydWUiPgo8cGF0aCBzdHJva2Utd2lkdGg9IjEiIGlkPSJFMS1NSk1BSU4tM0QiIGQ9Ik01NiAzNDdRNTYgMzYwIDcwIDM2N0g3MDdRNzIyIDM1OSA3MjIgMzQ3UTcyMiAzMzYgNzA4IDMyOEwzOTAgMzI3SDcyUTU2IDMzMiA1NiAzNDdaTTU2IDE1M1E1NiAxNjggNzIgMTczSDcwOFE3MjIgMTYzIDcyMiAxNTNRNzIyIDE0MCA3MDcgMTMzSDcwUTU2IDE0MCA1NiAxNTNaIj48L3BhdGg+CjxwYXRoIHN0cm9rZS13aWR0aD0iMSIgaWQ9IkUxLU1KTUFUSEktNTMiIGQ9Ik0zMDggMjRRMzY3IDI0IDQxNiA3NlQ0NjYgMTk3UTQ2NiAyNjAgNDE0IDI4NFEzMDggMzExIDI3OCAzMjFUMjM2IDM0MVExNzYgMzgzIDE3NiA0NjJRMTc2IDUyMyAyMDggNTczVDI3MyA2NDhRMzAyIDY3MyAzNDMgNjg4VDQwNyA3MDRINDE4SDQyNVE1MjEgNzA0IDU2NCA2NDBRNTY1IDY0MCA1NzcgNjUzVDYwMyA2ODJUNjIzIDcwNFE2MjQgNzA0IDYyNyA3MDRUNjMyIDcwNVE2NDUgNzA1IDY0NSA2OThUNjE3IDU3N1Q1ODUgNDU5VDU2OSA0NTZRNTQ5IDQ1NiA1NDkgNDY1UTU0OSA0NzEgNTUwIDQ3NVE1NTAgNDc4IDU1MSA0OTRUNTUzIDUyMFE1NTMgNTU0IDU0NCA1NzlUNTI2IDYxNlQ1MDEgNjQxUTQ2NSA2NjIgNDE5IDY2MlEzNjIgNjYyIDMxMyA2MTZUMjYzIDUxMFEyNjMgNDgwIDI3OCA0NThUMzE5IDQyN1EzMjMgNDI1IDM4OSA0MDhUNDU2IDM5MFE0OTAgMzc5IDUyMiAzNDJUNTU0IDI0MlE1NTQgMjE2IDU0NiAxODZRNTQxIDE2NCA1MjggMTM3VDQ5MiA3OFQ0MjYgMThUMzMyIC0yMFEzMjAgLTIyIDI5OCAtMjJRMTk5IC0yMiAxNDQgMzNMMTM0IDQ0TDEwNiAxM1E4MyAtMTQgNzggLTE4VDY1IC0yMlE1MiAtMjIgNTIgLTE0UTUyIC0xMSAxMTAgMjIxUTExMiAyMjcgMTMwIDIyN0gxNDNRMTQ5IDIyMSAxNDkgMjE2UTE0OSAyMTQgMTQ4IDIwN1QxNDQgMTg2VDE0MiAxNTNRMTQ0IDExNCAxNjAgODdUMjAzIDQ3VDI1NSAyOVQzMDggMjRaIj48L3BhdGg+CjxwYXRoIHN0cm9rZS13aWR0aD0iMSIgaWQ9IkUxLU1KTUFJTi03MyIgZD0iTTI5NSAzMTZRMjk1IDM1NiAyNjggMzg1VDE5MCA0MTRRMTU0IDQxNCAxMjggNDAxUTk4IDM4MiA5OCAzNDlROTcgMzQ0IDk4IDMzNlQxMTQgMzEyVDE1NyAyODdRMTc1IDI4MiAyMDEgMjc4VDI0NSAyNjlUMjc3IDI1NlEyOTQgMjQ4IDMxMCAyMzZUMzQyIDE5NVQzNTkgMTMzUTM1OSA3MSAzMjEgMzFUMTk4IC0xMEgxOTBRMTM4IC0xMCA5NCAyNkw4NiAxOUw3NyAxMFE3MSA0IDY1IC0xTDU0IC0xMUg0Nkg0MlEzOSAtMTEgMzMgLTVWNzRWMTMyUTMzIDE1MyAzNSAxNTdUNDUgMTYySDU0UTY2IDE2MiA3MCAxNThUNzUgMTQ2VDgyIDExOVQxMDEgNzdRMTM2IDI2IDE5OCAyNlEyOTUgMjYgMjk1IDEwNFEyOTUgMTMzIDI3NyAxNTFRMjU3IDE3NSAxOTQgMTg3VDExMSAyMTBRNzUgMjI3IDU0IDI1NlQzMyAzMThRMzMgMzU3IDUwIDM4NFQ5MyA0MjRUMTQzIDQ0MlQxODcgNDQ3SDE5OFEyMzggNDQ3IDI2OCA0MzJMMjgzIDQyNEwyOTIgNDMxUTMwMiA0NDAgMzE0IDQ0OEgzMjJIMzI2UTMyOSA0NDggMzM1IDQ0MlYzMTBMMzI5IDMwNEgzMDFRMjk1IDMxMCAyOTUgMzE2WiI+PC9wYXRoPgo8cGF0aCBzdHJva2Utd2lkdGg9IjEiIGlkPSJFMS1NSk1BSU4tNjkiIGQ9Ik02OSA2MDlRNjkgNjM3IDg3IDY1M1QxMzEgNjY5UTE1NCA2NjcgMTcxIDY1MlQxODggNjA5UTE4OCA1NzkgMTcxIDU2NFQxMjkgNTQ5UTEwNCA1NDkgODcgNTY0VDY5IDYwOVpNMjQ3IDBRMjMyIDMgMTQzIDNRMTMyIDMgMTA2IDNUNTYgMUwzNCAwSDI2VjQ2SDQyUTcwIDQ2IDkxIDQ5UTEwMCA1MyAxMDIgNjBUMTA0IDEwMlYyMDVWMjkzUTEwNCAzNDUgMTAyIDM1OVQ4OCAzNzhRNzQgMzg1IDQxIDM4NUgzMFY0MDhRMzAgNDMxIDMyIDQzMUw0MiA0MzJRNTIgNDMzIDcwIDQzNFQxMDYgNDM2UTEyMyA0MzcgMTQyIDQzOFQxNzEgNDQxVDE4MiA0NDJIMTg1VjYyUTE5MCA1MiAxOTcgNTBUMjMyIDQ2SDI1NVYwSDI0N1oiPjwvcGF0aD4KPHBhdGggc3Ryb2tlLXdpZHRoPSIxIiBpZD0iRTEtTUpNQUlOLTZFIiBkPSJNNDEgNDZINTVROTQgNDYgMTAyIDYwVjY4UTEwMiA3NyAxMDIgOTFUMTAyIDEyMlQxMDMgMTYxVDEwMyAyMDNRMTAzIDIzNCAxMDMgMjY5VDEwMiAzMjhWMzUxUTk5IDM3MCA4OCAzNzZUNDMgMzg1SDI1VjQwOFEyNSA0MzEgMjcgNDMxTDM3IDQzMlE0NyA0MzMgNjUgNDM0VDEwMiA0MzZRMTE5IDQzNyAxMzggNDM4VDE2NyA0NDFUMTc4IDQ0MkgxODFWNDAyUTE4MSAzNjQgMTgyIDM2NFQxODcgMzY5VDE5OSAzODRUMjE4IDQwMlQyNDcgNDIxVDI4NSA0MzdRMzA1IDQ0MiAzMzYgNDQyUTQ1MCA0MzggNDYzIDMyOVE0NjQgMzIyIDQ2NCAxOTBWMTA0UTQ2NCA2NiA0NjYgNTlUNDc3IDQ5UTQ5OCA0NiA1MjYgNDZINTQyVjBINTM0TDUxMCAxUTQ4NyAyIDQ2MCAyVDQyMiAzUTMxOSAzIDMxMCAwSDMwMlY0NkgzMThRMzc5IDQ2IDM3OSA2MlEzODAgNjQgMzgwIDIwMFEzNzkgMzM1IDM3OCAzNDNRMzcyIDM3MSAzNTggMzg1VDMzNCA0MDJUMzA4IDQwNFEyNjMgNDA0IDIyOSAzNzBRMjAyIDM0MyAxOTUgMzE1VDE4NyAyMzJWMTY4VjEwOFExODcgNzggMTg4IDY4VDE5MSA1NVQyMDAgNDlRMjIxIDQ2IDI0OSA0NkgyNjVWMEgyNTdMMjM0IDFRMjEwIDIgMTgzIDJUMTQ1IDNRNDIgMyAzMyAwSDI1VjQ2SDQxWiI+PC9wYXRoPgo8cGF0aCBzdHJva2Utd2lkdGg9IjEiIGlkPSJFMS1NSk1BVEhJLTNEMSIgZD0iTTUzNyA1MDBRNTM3IDQ3NCA1MzMgNDM5VDUyNCAzODNMNTIxIDM2MlE1NTggMzU1IDU2MSAzNTFRNTYzIDM0OSA1NjMgMzQ1UTU2MyAzMjEgNTUyIDMxOFE1NDIgMzE4IDUyMSAzMjNMNTEwIDMyNlE0OTYgMjYxIDQ1OSAxODdUMzYyIDUxVDI0MSAtMTFRMTAwIC0xMSAxMDAgMTA1UTEwMCAxMzkgMTI3IDI0MlQxNTQgMzY2UTE1NCA0MDUgMTI4IDQwNVExMDcgNDA1IDkyIDM3N1Q2OCAzMTZUNTcgMjgwUTU1IDI3OCA0MSAyNzhIMjdRMjEgMjg0IDIxIDI4N1EyMSAyOTEgMjcgMzEzVDQ3IDM2OFQ3OSA0MThRMTAzIDQ0MiAxMzQgNDQyUTE2OSA0NDIgMjAxIDQxOVQyMzMgMzQ0UTIzMiAzMzAgMjA2IDIyOFQxODAgOThRMTgwIDI2IDI0NyAyNlEyOTIgMjYgMzMyIDkwVDQwNCAyNjBMNDI3IDM0OVE0MjIgMzQ5IDM5OCAzNTlUMzM5IDM5MlQyODkgNDQwUTI2NSA0NzYgMjY1IDUyMFEyNjUgNTkwIDMxMiA2NDdUNDE3IDcwNVE0NjMgNzA1IDQ5MSA2NzBUNTI4IDU5MlQ1MzcgNTAwWk00NjQgNTY0UTQ2NCA2NjggNDEzIDY2OFEzNzMgNjY4IDMzOSA2MjJUMzA0IDUyMlEzMDQgNDk0IDMxNyA0NzBUMzQ5IDQzMVQzODggNDA2VDQyMSAzOTFUNDM1IDM4N0g0MzZMNDQzIDQxNVE0NTAgNDQzIDQ1NyA0ODVUNDY0IDU2NFoiPjwvcGF0aD4KPC9kZWZzPgo8ZyBzdHJva2U9ImN1cnJlbnRDb2xvciIgZmlsbD0iY3VycmVudENvbG9yIiBzdHJva2Utd2lkdGg9IjAiIHRyYW5zZm9ybT0ibWF0cml4KDEgMCAwIC0xIDAgMCkiIGFyaWEtaGlkZGVuPSJ0cnVlIj4KIDx1c2UgeGxpbms6aHJlZj0iI0UxLU1KTUFJTi0zRCIgeD0iMCIgeT0iMCI+PC91c2U+CiA8dXNlIHhsaW5rOmhyZWY9IiNFMS1NSk1BVEhJLTUzIiB4PSIxMDU2IiB5PSIwIj48L3VzZT4KPGcgdHJhbnNmb3JtPSJ0cmFuc2xhdGUoMTg2OCwwKSI+CiA8dXNlIHhsaW5rOmhyZWY9IiNFMS1NSk1BSU4tNzMiPjwvdXNlPgogPHVzZSB4bGluazpocmVmPSIjRTEtTUpNQUlOLTY5IiB4PSIzOTQiIHk9IjAiPjwvdXNlPgogPHVzZSB4bGluazpocmVmPSIjRTEtTUpNQUlOLTZFIiB4PSI2NzMiIHk9IjAiPjwvdXNlPgo8L2c+CiA8dXNlIHhsaW5rOmhyZWY9IiNFMS1NSk1BVEhJLTNEMSIgeD0iMzI2NCIgeT0iMCI+PC91c2U+CjwvZz4KPC9zdmc+ class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.338ex;width:8.956ex;height:2.176ex alt="{\displaystyle =S\sin \vartheta }" data-moz-translations-id=12></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>,</font></font><p><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle S={\frac {A}{4\pi s}}\int \int \varrho '^{2}d\varrho 'dx'{\mathfrak {U}}'R,}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
S
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=8>
|
||
<mfrac data-moz-translations-id=9>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow data-moz-translations-id=11>
|
||
<mn data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
4
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
π</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
s
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∫</font></font>
|
||
</mo>
|
||
<mo data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∫</font></font>
|
||
</mo>
|
||
<msup data-moz-translations-id=17>
|
||
<mi data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow data-moz-translations-id=19>
|
||
<mo class=MJX-variant data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
′
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=21>
|
||
<mn data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<msup data-moz-translations-id=24>
|
||
<mi data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
′
|
||
</font></font></mo>
|
||
</msup>
|
||
<mi data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<msup data-moz-translations-id=28>
|
||
<mi data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
′
|
||
</font></font></mo>
|
||
</msup>
|
||
<msup data-moz-translations-id=31>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=32>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=33>
|
||
<mi mathvariant=fraktur data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
U
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
′
|
||
</font></font></mo>
|
||
</msup>
|
||
<mi data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
R
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=38><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle S={\frac {A}{4\pi s}}\int \int \varrho '^{2}d\varrho 'dx'{\mathfrak {U}}'R,}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="28.263ex" height="5.843ex" style="vertical-align: -2.338ex;" viewBox="0 -1508.9 12168.9 2515.6" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle S={\frac {A}{4\pi s}}\int \int \varrho '^{2}d\varrho 'dx'{\mathfrak {U}}'R,}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-53" d="M308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMAIN-34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C0" d="M132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11Z"></path>
<path stroke-width="1" id="E1-MJMATHI-73" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path>
<path stroke-width="1" id="E1-MJSZ2-222B" d="M114 -798Q132 -824 165 -824H167Q195 -824 223 -764T275 -600T320 -391T362 -164Q365 -143 367 -133Q439 292 523 655T645 1127Q651 1145 655 1157T672 1201T699 1257T733 1306T777 1346T828 1360Q884 1360 912 1325T944 1245Q944 1220 932 1205T909 1186T887 1183Q866 1183 849 1198T832 1239Q832 1287 885 1296L882 1300Q879 1303 874 1307T866 1313Q851 1323 833 1323Q819 1323 807 1311T775 1255T736 1139T689 936T633 628Q574 293 510 -5T410 -437T355 -629Q278 -862 165 -862Q125 -862 92 -831T55 -746Q55 -711 74 -698T112 -685Q133 -685 150 -700T167 -741Q167 -789 114 -798Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-64" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJFRAK-55" d="M160 247Q160 291 110 382T59 505Q59 542 106 597T207 690L218 697L229 682Q229 680 216 669T187 644T158 604T144 552Q144 526 165 482T207 387T228 291Q228 277 228 267T224 247T219 232T210 217T199 202T184 184T166 163L118 107Q124 105 132 105T160 98T220 77Q298 47 317 47Q354 47 409 105Q444 142 451 161T458 244V277Q458 339 455 457T447 596L575 686L591 676L583 668Q550 632 541 587T532 449V372V298Q532 198 550 147Q572 79 605 79Q617 79 631 84T656 95L665 100V79L595 27Q578 15 560 2T532 -19L523 -26Q522 -26 490 42L458 111L397 50Q389 42 374 27T355 8T340 -5T325 -16T311 -22T294 -26T274 -27Q232 -25 152 6T35 37Q28 36 19 30T4 18T-8 4T-16 -5Q-25 10 -25 11T-20 18Q-5 34 15 57L54 101Q70 103 86 116Q94 121 113 140T137 166Q160 201 160 247Z"></path>
<path stroke-width="1" id="E1-MJMATHI-52" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMATHI-53" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="923" y="0"></use>
<g transform="translate(1979,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1663" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMATHI-41" x="456" y="676"></use>
<g transform="translate(60,-698)">
 <use xlink:href="#E1-MJMAIN-34" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C0" x="500" y="0"></use>
 <use xlink:href="#E1-MJMATHI-73" x="1074" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ2-222B" x="4049" y="0"></use>
 <use xlink:href="#E1-MJSZ2-222B" x="5160" y="0"></use>
<g transform="translate(6272,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
<g transform="translate(517,412)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2032" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="275" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMATHI-64" x="7438" y="0"></use>
<g transform="translate(7961,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2032" x="731" y="583"></use>
</g>
 <use xlink:href="#E1-MJMATHI-64" x="8774" y="0"></use>
<g transform="translate(9297,0)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2032" x="809" y="583"></use>
</g>
<g transform="translate(10164,0)">
 <use xlink:href="#E1-MJFRAK-55" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2032" x="949" y="601"></use>
</g>
 <use xlink:href="#E1-MJMATHI-52" x="11130" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2C" x="11890" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.338ex;width:28.263ex;height:5.843ex alt="{\displaystyle S={\frac {A}{4\pi s}}\int \int \varrho '^{2}d\varrho 'dx'{\mathfrak {U}}'R,}" data-moz-translations-id=39></span><p><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle R={\frac {2}{\sqrt {\varrho '\varrho }}}\left(\left({\frac {2}{x}}-\varkappa \right)K-{\frac {2}{\varkappa }}E\right),}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
R
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=8>
|
||
<mfrac data-moz-translations-id=9>
|
||
<mn data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
<msqrt data-moz-translations-id=11>
|
||
<msup data-moz-translations-id=12>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
′
|
||
</font></font></mo>
|
||
</msup>
|
||
<mi data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</msqrt>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=16>
|
||
<mo data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=18>
|
||
<mrow data-moz-translations-id=19>
|
||
<mo data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=21>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=22>
|
||
<mfrac data-moz-translations-id=23>
|
||
<mn data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϰ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mo data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mi data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
K
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=31>
|
||
<mfrac data-moz-translations-id=32>
|
||
<mn data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϰ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mi data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
E
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mo data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mo data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=38><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle R={\frac {2}{\sqrt {\varrho '\varrho }}}\left(\left({\frac {2}{x}}-\varkappa \right)K-{\frac {2}{\varkappa }}E\right),}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="35.698ex" height="6.843ex" style="vertical-align: -3.171ex;" viewBox="0 -1580.7 15369.8 2946.1" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle R={\frac {2}{\sqrt {\varrho '\varrho }}}\left(\left({\frac {2}{x}}-\varkappa \right)K-{\frac {2}{\varkappa }}E\right),}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-52" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path>
<path stroke-width="1" id="E1-MJSZ1-221A" d="M263 249Q264 249 315 130T417 -108T470 -228L725 302Q981 837 982 839Q989 850 1001 850Q1008 850 1013 844T1020 832V826L741 243Q645 43 540 -176Q479 -303 469 -324T453 -348Q449 -350 436 -350L424 -349L315 -96Q206 156 205 156L171 130Q138 104 137 104L111 130L263 249Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJAMS-3F0" d="M228 325Q170 322 156 316T127 309Q108 309 104 314Q99 319 99 322T108 341Q125 376 171 400T268 425H271Q302 425 319 396Q328 377 328 358Q328 332 324 314Q311 270 286 221Q274 194 274 192H275Q339 234 484 325T639 421Q669 434 691 434T723 425T734 406Q734 394 719 381Q715 376 644 330L575 287L566 267Q543 233 526 176Q520 160 515 143T508 115T506 105Q506 103 533 103Q585 103 607 110T641 118Q670 118 670 107Q670 100 661 85Q643 50 598 27T504 3Q465 3 450 36Q441 51 441 73Q441 84 444 96Q452 146 484 205L497 236L324 125Q143 12 135 10Q103 -6 77 -6Q61 -6 49 2T37 21Q37 36 49 46T124 96L195 141L204 156Q219 179 243 248T264 323Q264 325 228 325Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
<path stroke-width="1" id="E1-MJMATHI-4B" d="M285 628Q285 635 228 637Q205 637 198 638T191 647Q191 649 193 661Q199 681 203 682Q205 683 214 683H219Q260 681 355 681Q389 681 418 681T463 682T483 682Q500 682 500 674Q500 669 497 660Q496 658 496 654T495 648T493 644T490 641T486 639T479 638T470 637T456 637Q416 636 405 634T387 623L306 305Q307 305 490 449T678 597Q692 611 692 620Q692 635 667 637Q651 637 651 648Q651 650 654 662T659 677Q662 682 676 682Q680 682 711 681T791 680Q814 680 839 681T869 682Q889 682 889 672Q889 650 881 642Q878 637 862 637Q787 632 726 586Q710 576 656 534T556 455L509 418L518 396Q527 374 546 329T581 244Q656 67 661 61Q663 59 666 57Q680 47 717 46H738Q744 38 744 37T741 19Q737 6 731 0H720Q680 3 625 3Q503 3 488 0H478Q472 6 472 9T474 27Q478 40 480 43T491 46H494Q544 46 544 71Q544 75 517 141T485 216L427 354L359 301L291 248L268 155Q245 63 245 58Q245 51 253 49T303 46H334Q340 37 340 35Q340 19 333 5Q328 0 317 0Q314 0 280 1T180 2Q118 2 85 2T49 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Z"></path>
<path stroke-width="1" id="E1-MJMATHI-45" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMATHI-52" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1037" y="0"></use>
<g transform="translate(2093,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="2450" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-32" x="974" y="676"></use>
<g transform="translate(60,-932)">
 <use xlink:href="#E1-MJSZ1-221A" x="0" y="1"></use>
<rect stroke="none" width="1329" height="60" x="1000" y="792"></rect>
<g transform="translate(1000,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2032" x="731" y="408"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="812" y="0"></use>
</g>
</g>
</g>
</g>
<g transform="translate(4950,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="692" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-32" x="96" y="676"></use>
 <use xlink:href="#E1-MJMATHI-78" x="60" y="-686"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="1154" y="0"></use>
 <use xlink:href="#E1-MJAMS-3F0" x="2155" y="0"></use>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="3626" y="-1"></use>
 <use xlink:href="#E1-MJMATHI-4B" x="4529" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="5641" y="0"></use>
<g transform="translate(6642,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="854" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-32" x="177" y="676"></use>
 <use xlink:href="#E1-MJAMS-3F0" x="60" y="-686"></use>
</g>
</g>
 <use xlink:href="#E1-MJMATHI-45" x="7736" y="0"></use>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="9237" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="15091" y="0"></use>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-3.171ex;width:35.698ex;height:6.843ex alt="{\displaystyle R={\frac {2}{\sqrt {\varrho '\varrho }}}\left(\left({\frac {2}{x}}-\varkappa \right)K-{\frac {2}{\varkappa }}E\right),}" data-moz-translations-id=39></span></p></td>
|
||
</tr>
|
||
</tbody>
|
||
</table><span> <span class=pagenum id=viii title="Page:Translatoric movement of the Lichtäthers.djvu/8" data-moz-translations-id=0><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=1><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>[</font> </font><b data-moz-translations-id=2><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/8 title="Page:Translatoric movement of the Lichtäthers.djvu/8" data-moz-translations-id=3><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>viii</font></font></a></b><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>]</font></font></span></span> </span>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \varkappa ^{2}={\frac {4\varrho '\varrho }{(z'-z)^{2}+(\varrho +\varrho ')^{2}}},\quad K=\int \limits _{0}^{\frac {\pi }{2}}{\frac {d\varphi }{\sqrt {1-\varkappa ^{2}\sin ^{2}\varphi }}},\quad E=\int \limits _{0}^{\frac {\pi }{2}}{\frac {d\varphi }{\sqrt {1-\varkappa ^{2}\sin ^{3}\varphi }}}.}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<msup data-moz-translations-id=6>
|
||
<mi data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϰ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=8>
|
||
<mn data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=11>
|
||
<mfrac data-moz-translations-id=12>
|
||
<mrow data-moz-translations-id=13>
|
||
<mn data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
4
|
||
</font></font></mn>
|
||
<msup data-moz-translations-id=15>
|
||
<mi data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
′
|
||
</font></font></mo>
|
||
</msup>
|
||
<mi data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=19>
|
||
<mo stretchy=false data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<msup data-moz-translations-id=21>
|
||
<mi data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
′
|
||
</font></font></mo>
|
||
</msup>
|
||
<mo data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<msup data-moz-translations-id=26>
|
||
<mo stretchy=false data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=28>
|
||
<mn data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mo stretchy=false data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<msup data-moz-translations-id=34>
|
||
<mi data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
′
|
||
</font></font></mo>
|
||
</msup>
|
||
<msup data-moz-translations-id=37>
|
||
<mo stretchy=false data-moz-translations-id=38><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=39>
|
||
<mn data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
<mspace width=1em data-moz-translations-id=42></mspace>
|
||
<mi data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
K
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=44><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<munderover data-moz-translations-id=45>
|
||
<mo data-moz-translations-id=46><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∫</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=47>
|
||
<mn data-moz-translations-id=48><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
0
|
||
</font></font></mn>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=49>
|
||
<mfrac data-moz-translations-id=50>
|
||
<mi data-moz-translations-id=51><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
π</font></font>
|
||
</mi>
|
||
<mn data-moz-translations-id=52><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mfrac>
|
||
</mrow>
|
||
</munderover>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=53>
|
||
<mfrac data-moz-translations-id=54>
|
||
<mrow data-moz-translations-id=55>
|
||
<mi data-moz-translations-id=56><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=57><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<msqrt data-moz-translations-id=58>
|
||
<mn data-moz-translations-id=59><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=60><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<msup data-moz-translations-id=61>
|
||
<mi data-moz-translations-id=62><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϰ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=63>
|
||
<mn data-moz-translations-id=64><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=65>
|
||
<mi data-moz-translations-id=66><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=67>
|
||
<mn data-moz-translations-id=68><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=69><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=70><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
</msqrt>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=71><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
<mspace width=1em data-moz-translations-id=72></mspace>
|
||
<mi data-moz-translations-id=73><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
E
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=74><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<munderover data-moz-translations-id=75>
|
||
<mo data-moz-translations-id=76><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∫</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=77>
|
||
<mn data-moz-translations-id=78><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
0
|
||
</font></font></mn>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=79>
|
||
<mfrac data-moz-translations-id=80>
|
||
<mi data-moz-translations-id=81><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
π</font></font>
|
||
</mi>
|
||
<mn data-moz-translations-id=82><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mfrac>
|
||
</mrow>
|
||
</munderover>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=83>
|
||
<mfrac data-moz-translations-id=84>
|
||
<mrow data-moz-translations-id=85>
|
||
<mi data-moz-translations-id=86><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
d
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=87><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<msqrt data-moz-translations-id=88>
|
||
<mn data-moz-translations-id=89><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=90><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<msup data-moz-translations-id=91>
|
||
<mi data-moz-translations-id=92><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϰ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=93>
|
||
<mn data-moz-translations-id=94><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=95>
|
||
<mi data-moz-translations-id=96><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=97>
|
||
<mn data-moz-translations-id=98><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
3
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=99><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=100><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
</msqrt>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=101><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
.
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=102><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \varkappa ^{2}={\frac {4\varrho '\varrho }{(z'-z)^{2}+(\varrho +\varrho ')^{2}}},\quad K=\int \limits _{0}^{\frac {\pi }{2}}{\frac {d\varphi }{\sqrt {1-\varkappa ^{2}\sin ^{2}\varphi }}},\quad E=\int \limits _{0}^{\frac {\pi }{2}}{\frac {d\varphi }{\sqrt {1-\varkappa ^{2}\sin ^{3}\varphi }}}.}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="82.428ex" height="11.009ex" style="vertical-align: -4.671ex;" viewBox="0 -2728.8 35489.8 4740.1" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle \varkappa ^{2}={\frac {4\varrho '\varrho }{(z'-z)^{2}+(\varrho +\varrho ')^{2}}},\quad K=\int \limits _{0}^{\frac {\pi }{2}}{\frac {d\varphi }{\sqrt {1-\varkappa ^{2}\sin ^{2}\varphi }}},\quad E=\int \limits _{0}^{\frac {\pi }{2}}{\frac {d\varphi }{\sqrt {1-\varkappa ^{2}\sin ^{3}\varphi }}}.}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJAMS-3F0" d="M228 325Q170 322 156 316T127 309Q108 309 104 314Q99 319 99 322T108 341Q125 376 171 400T268 425H271Q302 425 319 396Q328 377 328 358Q328 332 324 314Q311 270 286 221Q274 194 274 192H275Q339 234 484 325T639 421Q669 434 691 434T723 425T734 406Q734 394 719 381Q715 376 644 330L575 287L566 267Q543 233 526 176Q520 160 515 143T508 115T506 105Q506 103 533 103Q585 103 607 110T641 118Q670 118 670 107Q670 100 661 85Q643 50 598 27T504 3Q465 3 450 36Q441 51 441 73Q441 84 444 96Q452 146 484 205L497 236L324 125Q143 12 135 10Q103 -6 77 -6Q61 -6 49 2T37 21Q37 36 49 46T124 96L195 141L204 156Q219 179 243 248T264 323Q264 325 228 325Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
<path stroke-width="1" id="E1-MJMATHI-4B" d="M285 628Q285 635 228 637Q205 637 198 638T191 647Q191 649 193 661Q199 681 203 682Q205 683 214 683H219Q260 681 355 681Q389 681 418 681T463 682T483 682Q500 682 500 674Q500 669 497 660Q496 658 496 654T495 648T493 644T490 641T486 639T479 638T470 637T456 637Q416 636 405 634T387 623L306 305Q307 305 490 449T678 597Q692 611 692 620Q692 635 667 637Q651 637 651 648Q651 650 654 662T659 677Q662 682 676 682Q680 682 711 681T791 680Q814 680 839 681T869 682Q889 682 889 672Q889 650 881 642Q878 637 862 637Q787 632 726 586Q710 576 656 534T556 455L509 418L518 396Q527 374 546 329T581 244Q656 67 661 61Q663 59 666 57Q680 47 717 46H738Q744 38 744 37T741 19Q737 6 731 0H720Q680 3 625 3Q503 3 488 0H478Q472 6 472 9T474 27Q478 40 480 43T491 46H494Q544 46 544 71Q544 75 517 141T485 216L427 354L359 301L291 248L268 155Q245 63 245 58Q245 51 253 49T303 46H334Q340 37 340 35Q340 19 333 5Q328 0 317 0Q314 0 280 1T180 2Q118 2 85 2T49 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Z"></path>
<path stroke-width="1" id="E1-MJSZ2-222B" d="M114 -798Q132 -824 165 -824H167Q195 -824 223 -764T275 -600T320 -391T362 -164Q365 -143 367 -133Q439 292 523 655T645 1127Q651 1145 655 1157T672 1201T699 1257T733 1306T777 1346T828 1360Q884 1360 912 1325T944 1245Q944 1220 932 1205T909 1186T887 1183Q866 1183 849 1198T832 1239Q832 1287 885 1296L882 1300Q879 1303 874 1307T866 1313Q851 1323 833 1323Q819 1323 807 1311T775 1255T736 1139T689 936T633 628Q574 293 510 -5T410 -437T355 -629Q278 -862 165 -862Q125 -862 92 -831T55 -746Q55 -711 74 -698T112 -685Q133 -685 150 -700T167 -741Q167 -789 114 -798Z"></path>
<path stroke-width="1" id="E1-MJMAIN-30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C0" d="M132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11Z"></path>
<path stroke-width="1" id="E1-MJMATHI-64" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C6" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMAIN-73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z"></path>
<path stroke-width="1" id="E1-MJMAIN-69" d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path>
<path stroke-width="1" id="E1-MJSZ2-221A" d="M1001 1150Q1017 1150 1020 1132Q1020 1127 741 244L460 -643Q453 -650 436 -650H424Q423 -647 423 -645T421 -640T419 -631T415 -617T408 -594T399 -560T385 -512T367 -448T343 -364T312 -259L203 119L138 41L111 67L212 188L264 248L472 -474L983 1140Q988 1150 1001 1150Z"></path>
<path stroke-width="1" id="E1-MJMATHI-45" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path>
<path stroke-width="1" id="E1-MJMAIN-33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJAMS-3F0" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1067" y="583"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1486" y="0"></use>
<g transform="translate(2542,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="8817" height="60" x="0" y="220"></rect>
<g transform="translate(3493,714)">
 <use xlink:href="#E1-MJMAIN-34" x="0" y="0"></use>
<g transform="translate(500,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2032" x="731" y="513"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3F1" x="1312" y="0"></use>
</g>
<g transform="translate(60,-780)">
 <use xlink:href="#E1-MJMAIN-28" x="0" y="0"></use>
<g transform="translate(389,0)">
 <use xlink:href="#E1-MJMATHI-7A" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2032" x="663" y="408"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="1375" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="2376" y="0"></use>
<g transform="translate(2845,0)">
 <use xlink:href="#E1-MJMAIN-29" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="550" y="408"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="3910" y="0"></use>
 <use xlink:href="#E1-MJMAIN-28" x="4911" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="5301" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2B" x="6040" y="0"></use>
<g transform="translate(7041,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-2032" x="731" y="408"></use>
</g>
<g transform="translate(7853,0)">
 <use xlink:href="#E1-MJMAIN-29" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="550" y="408"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="11599" y="0"></use>
 <use xlink:href="#E1-MJMATHI-4B" x="13044" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="14212" y="0"></use>
<g transform="translate(15268,0)">
 <use xlink:href="#E1-MJSZ2-222B" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-30" x="60" y="-2123"></use>
<g transform="translate(379,1874)">
<g transform="translate(120,0)">
<rect stroke="none" width="449" height="60" x="0" y="146"></rect>
 <use transform="scale(0.574)" xlink:href="#E1-MJMATHI-3C0" x="104" y="658"></use>
 <use transform="scale(0.574)" xlink:href="#E1-MJMAIN-32" x="141" y="-698"></use>
</g>
</g>
</g>
<g transform="translate(16504,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="6723" height="60" x="0" y="220"></rect>
<g transform="translate(2772,738)">
 <use xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C6" x="523" y="0"></use>
</g>
<g transform="translate(60,-1312)">
 <use xlink:href="#E1-MJSZ2-221A" x="0" y="80"></use>
<rect stroke="none" width="5603" height="60" x="1000" y="1171"></rect>
<g transform="translate(1000,0)">
 <use xlink:href="#E1-MJMAIN-31" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="722" y="0"></use>
<g transform="translate(1723,0)">
 <use xlink:href="#E1-MJAMS-3F0" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1067" y="408"></use>
</g>
<g transform="translate(3098,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1738" y="561"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3C6" x="4948" y="0"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="23468" y="0"></use>
 <use xlink:href="#E1-MJMATHI-45" x="24913" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="25955" y="0"></use>
<g transform="translate(27011,0)">
 <use xlink:href="#E1-MJSZ2-222B" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-30" x="60" y="-2123"></use>
<g transform="translate(379,1874)">
<g transform="translate(120,0)">
<rect stroke="none" width="449" height="60" x="0" y="146"></rect>
 <use transform="scale(0.574)" xlink:href="#E1-MJMATHI-3C0" x="104" y="658"></use>
 <use transform="scale(0.574)" xlink:href="#E1-MJMAIN-32" x="141" y="-698"></use>
</g>
</g>
</g>
<g transform="translate(28247,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="6723" height="60" x="0" y="220"></rect>
<g transform="translate(2772,738)">
 <use xlink:href="#E1-MJMATHI-64" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C6" x="523" y="0"></use>
</g>
<g transform="translate(60,-1312)">
 <use xlink:href="#E1-MJSZ2-221A" x="0" y="80"></use>
<rect stroke="none" width="5603" height="60" x="1000" y="1171"></rect>
<g transform="translate(1000,0)">
 <use xlink:href="#E1-MJMAIN-31" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="722" y="0"></use>
<g transform="translate(1723,0)">
 <use xlink:href="#E1-MJAMS-3F0" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1067" y="408"></use>
</g>
<g transform="translate(3098,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-33" x="1738" y="561"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3C6" x="4948" y="0"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2E" x="35211" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-4.671ex;width:82.428ex;height:11.009ex alt="{\displaystyle \varkappa ^{2}={\frac {4\varrho '\varrho }{(z'-z)^{2}+(\varrho +\varrho ')^{2}}},\quad K=\int \limits _{0}^{\frac {\pi }{2}}{\frac {d\varphi }{\sqrt {1-\varkappa ^{2}\sin ^{2}\varphi }}},\quad E=\int \limits _{0}^{\frac {\pi }{2}}{\frac {d\varphi }{\sqrt {1-\varkappa ^{2}\sin ^{3}\varphi }}}.}" data-moz-translations-id=103></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Then</font> </font><i data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>S</font></font></i><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>satisfies the differential equation</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\frac {\partial ^{2}S}{\partial \varrho ^{2}}}+{\frac {1}{\varrho }}{\frac {\partial S}{\partial \varrho }}-{\frac {1}{\varrho ^{2}}}S+{\frac {\partial ^{2}S}{\partial x^{2}}}=-{\frac {\varrho {\mathfrak {U}}A}{s}}}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mfrac data-moz-translations-id=7>
|
||
<mrow data-moz-translations-id=8>
|
||
<msup data-moz-translations-id=9>
|
||
<mi mathvariant=normal data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=11>
|
||
<mn data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
S
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=14>
|
||
<mi mathvariant=normal data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<msup data-moz-translations-id=16>
|
||
<mi data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=18>
|
||
<mn data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=21>
|
||
<mfrac data-moz-translations-id=22>
|
||
<mn data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=25>
|
||
<mfrac data-moz-translations-id=26>
|
||
<mrow data-moz-translations-id=27>
|
||
<mi mathvariant=normal data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
S
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=30>
|
||
<mi mathvariant=normal data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=34>
|
||
<mfrac data-moz-translations-id=35>
|
||
<mn data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<msup data-moz-translations-id=37>
|
||
<mi data-moz-translations-id=38><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=39>
|
||
<mn data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mfrac>
|
||
</mrow>
|
||
<mi data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
S
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=42><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=43>
|
||
<mfrac data-moz-translations-id=44>
|
||
<mrow data-moz-translations-id=45>
|
||
<msup data-moz-translations-id=46>
|
||
<mi mathvariant=normal data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=48>
|
||
<mn data-moz-translations-id=49><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=50><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
S
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=51>
|
||
<mi mathvariant=normal data-moz-translations-id=52><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<msup data-moz-translations-id=53>
|
||
<mi data-moz-translations-id=54><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=55>
|
||
<mn data-moz-translations-id=56><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=57><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mo data-moz-translations-id=58><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=59>
|
||
<mfrac data-moz-translations-id=60>
|
||
<mrow data-moz-translations-id=61>
|
||
<mi data-moz-translations-id=62><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=63>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=64>
|
||
<mi mathvariant=fraktur data-moz-translations-id=65><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
U
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mi data-moz-translations-id=66><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mi data-moz-translations-id=67><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
s
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=68><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\frac {\partial ^{2}S}{\partial \varrho ^{2}}}+{\frac {1}{\varrho }}{\frac {\partial S}{\partial \ varrho }}-{\frac {1}{\varrho ^{2}}}S+{\frac {\partial ^{2}S}{\partial x^{2}}}=-{\frac {\varrho {\mathfrak {U}}A}{s}}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="38.503ex" height="6.343ex" style="vertical-align: -2.505ex;" viewBox="0 -1652.5 16577.8 2730.8" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\frac {\partial ^{2}S}{\partial \varrho ^{2}}}+{\frac {1}{\varrho }}{\frac {\partial S}{\partial \varrho }}-{\frac {1}{\varrho ^{2}}}S+{\frac {\partial ^{2}S}{\partial x^{2}}}=-{\frac {\varrho {\mathfrak {U}}A}{s}}}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-53" d="M308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJFRAK-55" d="M160 247Q160 291 110 382T59 505Q59 542 106 597T207 690L218 697L229 682Q229 680 216 669T187 644T158 604T144 552Q144 526 165 482T207 387T228 291Q228 277 228 267T224 247T219 232T210 217T199 202T184 184T166 163L118 107Q124 105 132 105T160 98T220 77Q298 47 317 47Q354 47 409 105Q444 142 451 161T458 244V277Q458 339 455 457T447 596L575 686L591 676L583 668Q550 632 541 587T532 449V372V298Q532 198 550 147Q572 79 605 79Q617 79 631 84T656 95L665 100V79L595 27Q578 15 560 2T532 -19L523 -26Q522 -26 490 42L458 111L397 50Q389 42 374 27T355 8T340 -5T325 -16T311 -22T294 -26T274 -27Q232 -25 152 6T35 37Q28 36 19 30T4 18T-8 4T-16 -5Q-25 10 -25 11T-20 18Q-5 34 15 57L54 101Q70 103 86 116Q94 121 113 140T137 166Q160 201 160 247Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMATHI-73" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
<g transform="translate(120,0)">
<rect stroke="none" width="1797" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="817" y="513"></use>
 <use xlink:href="#E1-MJMATHI-53" x="1032" y="0"></use>
</g>
<g transform="translate(129,-780)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
<g transform="translate(567,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="2259" y="0"></use>
<g transform="translate(3260,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="637" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="68" y="676"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="60" y="-686"></use>
</g>
</g>
<g transform="translate(4138,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1333" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-53" x="567" y="0"></use>
</g>
<g transform="translate(124,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="5933" y="0"></use>
<g transform="translate(6934,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1091" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="295" y="676"></use>
<g transform="translate(60,-780)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMATHI-53" x="8265" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2B" x="9133" y="0"></use>
<g transform="translate(10133,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1797" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="817" y="513"></use>
 <use xlink:href="#E1-MJMATHI-53" x="1032" y="0"></use>
</g>
<g transform="translate(101,-780)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
<g transform="translate(567,0)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="809" y="408"></use>
</g>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="12449" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="13505" y="0"></use>
<g transform="translate(14284,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="2053" height="60" x="0" y="220"></rect>
<g transform="translate(60,714)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-55" x="517" y="0"></use>
 <use xlink:href="#E1-MJMATHI-41" x="1183" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-73" x="792" y="-686"></use>
</g>
</g>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:38.503ex;height:6.343ex alt="{\displaystyle {\frac {\partial ^{2}S}{\partial \varrho ^{2}}}+{\frac {1}{\varrho }}{\frac {\partial S}{\partial \ varrho }}-{\frac {1}{\varrho ^{2}}}S+{\frac {\partial ^{2}S}{\partial x^{2}}}=-{\frac {\varrho {\mathfrak {U}}A}{s}}}" data-moz-translations-id=69></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>and so it is</font></font><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \varphi =S}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
S
|
||
</font></font></mi>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \varphi =S}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,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 class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.838ex;width:6.118ex;height:2.676ex alt="{\displaystyle \varphi =S}" data-moz-translations-id=10></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>These are the same expressions that give the velocities of the circular vortex rings in a liquid, where the</font> </font><i data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>x x</font></font></i><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>-axis is the axis of the vortex rings when the rotation speed of the liquid particles is about the circular rotation axis</font></font></p>
|
||
<center>
|
||
<span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\frac {3{\mathfrak {A}}\varrho A}{2s\left[x^{2}+\varrho ^{2}\left(1-A^{2}v^{2}\right)\right]^{3}}}}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mfrac data-moz-translations-id=7>
|
||
<mrow data-moz-translations-id=8>
|
||
<mn data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
3
|
||
</font></font></mn>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=10>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=11>
|
||
<mi mathvariant=fraktur data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=15>
|
||
<mn data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
s
|
||
</font></font></mi>
|
||
<msup data-moz-translations-id=18>
|
||
<mrow data-moz-translations-id=19>
|
||
<mo data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
[
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=21>
|
||
<msup data-moz-translations-id=22>
|
||
<mi data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=24>
|
||
<mn data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<msup data-moz-translations-id=27>
|
||
<mi data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=29>
|
||
<mn data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mrow data-moz-translations-id=31>
|
||
<mo data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=33>
|
||
<mn data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<msup data-moz-translations-id=36>
|
||
<mi data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=38>
|
||
<mn data-moz-translations-id=39><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=40>
|
||
<mi data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=42>
|
||
<mn data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
<mo data-moz-translations-id=44><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=45><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
]
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=46>
|
||
<mn data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
3
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=48><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\frac {3{\mathfrak {A}}\varrho A}{2s\left[x^{2}+\varrho ^{2}\left(1-A^{2}v^{2 }\right)\right]^{3}}}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="24.096ex" height="6.676ex" style="vertical-align: -3.171ex;" viewBox="0 -1508.9 10374.6 2874.4" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\frac {3{\mathfrak {A}}\varrho A}{2s\left[x^{2}+\varrho ^{2}\left(1-A^{2}v^{2}\right)\right]^{3}}}}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path>
<path stroke-width="1" id="E1-MJFRAK-41" d="M22 505Q22 563 94 624T271 685H280Q416 685 443 560Q447 535 447 504Q444 414 405 330L399 319L229 155Q233 154 241 153T253 150T265 145T281 135T301 119T328 93L357 64L402 92Q438 116 473 137L500 154V339Q500 528 495 593V601L559 649Q621 696 624 696L638 686L629 677Q599 650 593 638Q582 614 581 504Q580 490 580 443Q580 314 584 238Q584 235 584 224T584 210T585 199T586 187T588 176T591 164T595 152T601 137T609 121Q630 77 640 77Q661 77 703 101Q704 95 706 90L707 86V84L636 29Q618 15 601 2T574 -19T564 -25L500 121Q499 121 399 48L299 -26Q298 -26 291 -15T272 11T245 42T209 69T165 80Q120 80 58 43L48 37L40 42L32 48L122 117Q196 173 241 211Q319 280 343 327T368 447Q368 535 317 582Q264 633 199 633Q155 633 122 605T86 542Q86 518 133 467T181 387Q181 348 140 309Q113 281 73 260L64 255L50 265L59 273Q112 307 112 345Q112 363 90 387T45 441T22 505Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-73" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-76" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJMAIN-5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
<g transform="translate(120,0)">
<rect stroke="none" width="10134" height="60" x="0" y="220"></rect>
<g transform="translate(3823,714)">
 <use xlink:href="#E1-MJMAIN-33" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-41" x="500" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="1219" y="0"></use>
 <use xlink:href="#E1-MJMATHI-41" x="1736" y="0"></use>
</g>
<g transform="translate(60,-978)">
 <use xlink:href="#E1-MJMAIN-32" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-73" x="500" y="0"></use>
<g transform="translate(970,0)">
 <use xlink:href="#E1-MJMAIN-5B"></use>
<g transform="translate(278,0)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="809" y="408"></use>
 <use xlink:href="#E1-MJMAIN-2B" x="1248" y="0"></use>
<g transform="translate(2249,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
<g transform="translate(3387,0)">
 <use xlink:href="#E1-MJMAIN-28"></use>
<g transform="translate(389,0)">
 <use xlink:href="#E1-MJMAIN-31" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="722" y="0"></use>
<g transform="translate(1723,0)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1061" y="408"></use>
</g>
<g transform="translate(2927,0)">
 <use xlink:href="#E1-MJMATHI-76" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="686" y="408"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-29" x="4256" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-5D" x="8312" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-33" x="12149" y="689"></use>
</g>
</g>
</g>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-3.171ex;width:24.096ex;height:6.676ex alt="{\displaystyle {\frac {3{\mathfrak {A}}\varrho A}{2s\left[x^{2}+\varrho ^{2}\left(1-A^{2}v^{2 }\right)\right]^{3}}}}" data-moz-translations-id=49></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>is.</font>
|
||
</font></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>The magnitude of the movement that occurs dependss primarily on the size</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\frac {3ve^{2}A^{2}(1-A^{2}v^{2})\varrho }{2s\left[x^{2}+\varrho ^{2}\left(1-A^{2}v^{2}\right)\right]^{3}}}}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mfrac data-moz-translations-id=7>
|
||
<mrow data-moz-translations-id=8>
|
||
<mn data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
3
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<msup data-moz-translations-id=11>
|
||
<mi data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=13>
|
||
<mn data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=15>
|
||
<mi data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=17>
|
||
<mn data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo stretchy=false data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mn data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<msup data-moz-translations-id=22>
|
||
<mi data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=24>
|
||
<mn data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=26>
|
||
<mi data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=28>
|
||
<mn data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo stretchy=false data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=32>
|
||
<mn data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
s
|
||
</font></font></mi>
|
||
<msup data-moz-translations-id=35>
|
||
<mrow data-moz-translations-id=36>
|
||
<mo data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
[
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=38>
|
||
<msup data-moz-translations-id=39>
|
||
<mi data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=41>
|
||
<mn data-moz-translations-id=42><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<msup data-moz-translations-id=44>
|
||
<mi data-moz-translations-id=45><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=46>
|
||
<mn data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mrow data-moz-translations-id=48>
|
||
<mo data-moz-translations-id=49><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=50>
|
||
<mn data-moz-translations-id=51><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=52><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<msup data-moz-translations-id=53>
|
||
<mi data-moz-translations-id=54><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=55>
|
||
<mn data-moz-translations-id=56><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=57>
|
||
<mi data-moz-translations-id=58><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=59>
|
||
<mn data-moz-translations-id=60><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
<mo data-moz-translations-id=61><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=62><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
]
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=63>
|
||
<mn data-moz-translations-id=64><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
3
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=65><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\frac {3ve^{2}A^{2}(1-A^{2}v^{2})\varrho }{2s\left[x^{2}+\varrho ^{2 }\left(1-A^{2}v^{2}\right)\right]^{3}}}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="24.096ex" height="7.176ex" style="vertical-align: -3.171ex;" viewBox="0 -1724.2 10374.6 3089.6" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\frac {3ve^{2}A^{2}(1-A^{2}v^{2})\varrho }{2s\left[x^{2}+\varrho ^{2}\left(1-A^{2}v^{2}\right)\right]^{3}}}}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path>
<path stroke-width="1" id="E1-MJMATHI-76" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path>
<path stroke-width="1" id="E1-MJMATHI-65" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3F1" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path>
<path stroke-width="1" id="E1-MJMATHI-73" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
<g transform="translate(120,0)">
<rect stroke="none" width="10134" height="60" x="0" y="220"></rect>
<g transform="translate(930,770)">
 <use xlink:href="#E1-MJMAIN-33" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-76" x="500" y="0"></use>
<g transform="translate(986,0)">
 <use xlink:href="#E1-MJMATHI-65" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="659" y="513"></use>
</g>
<g transform="translate(1906,0)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1061" y="513"></use>
</g>
 <use xlink:href="#E1-MJMAIN-28" x="3110" y="0"></use>
 <use xlink:href="#E1-MJMAIN-31" x="3500" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="4223" y="0"></use>
<g transform="translate(5223,0)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1061" y="513"></use>
</g>
<g transform="translate(6428,0)">
 <use xlink:href="#E1-MJMATHI-76" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="686" y="513"></use>
</g>
 <use xlink:href="#E1-MJMAIN-29" x="7367" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3F1" x="7757" y="0"></use>
</g>
<g transform="translate(60,-978)">
 <use xlink:href="#E1-MJMAIN-32" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-73" x="500" y="0"></use>
<g transform="translate(970,0)">
 <use xlink:href="#E1-MJMAIN-5B"></use>
<g transform="translate(278,0)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="809" y="408"></use>
 <use xlink:href="#E1-MJMAIN-2B" x="1248" y="0"></use>
<g transform="translate(2249,0)">
 <use xlink:href="#E1-MJMATHI-3F1" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="731" y="408"></use>
</g>
<g transform="translate(3387,0)">
 <use xlink:href="#E1-MJMAIN-28"></use>
<g transform="translate(389,0)">
 <use xlink:href="#E1-MJMAIN-31" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="722" y="0"></use>
<g transform="translate(1723,0)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1061" y="408"></use>
</g>
<g transform="translate(2927,0)">
 <use xlink:href="#E1-MJMATHI-76" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="686" y="408"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-29" x="4256" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-5D" x="8312" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-33" x="12149" y="689"></use>
</g>
</g>
</g>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-3.171ex;width:24.096ex;height:7.176ex alt="{\displaystyle {\frac {3ve^{2}A^{2}(1-A^{2}v^{2})\varrho }{2s\left[x^{2}+\varrho ^{2 }\left(1-A^{2}v^{2}\right)\right]^{3}}}}" data-moz-translations-id=66></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>away. With constant</font> </font><i data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>e</font></font></i><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>and and</font> </font><i data-moz-translations-id=1><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>s</font></font></i><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>it has a maximum for</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle v={\frac {1}{{\sqrt {3}}A}}}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=8>
|
||
<mfrac data-moz-translations-id=9>
|
||
<mn data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mrow data-moz-translations-id=11>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=12>
|
||
<msqrt data-moz-translations-id=13>
|
||
<mn data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
3
|
||
</font></font></mn>
|
||
</msqrt>
|
||
</mrow>
|
||
<mi data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle v={\frac {1}{{\sqrt {3}}A}}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.838ex;width:9.904ex;height:6.176ex alt="{\displaystyle v={\frac {1}{{\sqrt {3}}A}}}" data-moz-translations-id=17></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>and is the same</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\frac {e^{2}A}{{\sqrt {3}}s}}.}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mfrac data-moz-translations-id=7>
|
||
<mrow data-moz-translations-id=8>
|
||
<msup data-moz-translations-id=9>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=11>
|
||
<mn data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=14>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=15>
|
||
<msqrt data-moz-translations-id=16>
|
||
<mn data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
3
|
||
</font></font></mn>
|
||
</msqrt>
|
||
</mrow>
|
||
<mi data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
s
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
.
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\frac {e^{2}A}{{\sqrt {3}}s}}.}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.838ex;width:5.672ex;height:6.676ex alt="{\displaystyle {\frac {e^{2}A}{{\sqrt {3}}s}}.}" data-moz-translations-id=21></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>In cathode rays we have electrical charges that fly through space at almost as high a speed.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Let's assume there would be</font></font><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle 6\cdot 10^{4}}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mn data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
6
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
⋅</font></font>
|
||
</mo>
|
||
<msup data-moz-translations-id=8>
|
||
<mn data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
10
|
||
</font></font></mn>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=10>
|
||
<mn data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
4
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle 6\cdot 10^{4}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.338ex;width:6.221ex;height:2.676ex alt="{\displaystyle 6\cdot 10^{4}}" data-moz-translations-id=13></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>electrostatic units are transported per second and if we take the speed to be a third of the speed of light, then a tube 50 cm long would constantly have a charge of</font></font><span class=mwe-math-element data-moz-translations-id=14><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=15><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle 3\cdot 10^{-4}}" data-moz-translations-id=16><semantics data-moz-translations-id=17>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=18>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=19>
|
||
<mn data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
3
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
⋅</font></font>
|
||
</mo>
|
||
<msup data-moz-translations-id=22>
|
||
<mn data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
10
|
||
</font></font></mn>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=24>
|
||
<mo data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mn data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
4
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle 3\cdot 10^{-4}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.338ex;width:7.499ex;height:2.676ex alt="{\displaystyle 3\cdot 10^{-4}}" data-moz-translations-id=28></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>moving. The size of the rotation speed would then be for</font></font><span class=mwe-math-element data-moz-translations-id=29><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=30><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle x=0}" data-moz-translations-id=31><semantics data-moz-translations-id=32>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=33>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=34>
|
||
<mi data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mn data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
0
|
||
</font></font></mn>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=38><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle x=0}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.338ex;width:5.591ex;height:2.176ex alt="{\displaystyle x=0}" data-moz-translations-id=39></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>and and</font></font><span class=mwe-math-element data-moz-translations-id=40><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=41><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \varrho =1{\rm {mm}}}" data-moz-translations-id=42><semantics data-moz-translations-id=43>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=44>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=45>
|
||
<mi data-moz-translations-id=46><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ϱ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mn data-moz-translations-id=48><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=49>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=50>
|
||
<mi mathvariant=normal data-moz-translations-id=51><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
m
|
||
</font></font></mi>
|
||
<mi mathvariant=normal data-moz-translations-id=52><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
m
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=53><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \varrho =1{\rm {mm}}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.671ex;width:9.335ex;height:2.509ex alt="{\displaystyle \varrho =1{\rm {mm}}}" data-moz-translations-id=54></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>nearly</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\frac {1}{2}}10^{-13}{\frac {1}{s}}.}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mfrac data-moz-translations-id=7>
|
||
<mn data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mn data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mfrac>
|
||
</mrow>
|
||
<msup data-moz-translations-id=10>
|
||
<mn data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
10
|
||
</font></font></mn>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=12>
|
||
<mo data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mn data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
13
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=15>
|
||
<mfrac data-moz-translations-id=16>
|
||
<mn data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
s
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
.
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\frac {1}{2}}10^{-13}{\frac {1}{s}}.}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-1.838ex;width:10.124ex;height:5.176ex alt="{\displaystyle {\frac {1}{2}}10^{-13}{\frac {1}{s}}.}" data-moz-translations-id=21></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Outside the tube, noticeable movements would only occur if the ether density was extremely low.</font> </font><span data-moz-translations-id=0><span class=pagenum id=ix title="Page:Translatoric movement of light ether.djvu/9" data-moz-translations-id=1><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=2><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>[</font> </font><b data-moz-translations-id=3><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/9 title="Page:Translatoric movement of light ether.djvu/9" data-moz-translations-id=4><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>ix</font></font></a></b><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>]</font></font></span></span></span><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>Nothing definite can be said about the events in the immediate vicinity of the cargo.</font> </font><sup id=cite_ref-1 class=reference data-moz-translations-id=5><a href=#cite_note-1 data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>[1] [1]</font></font></a></sup></p>
|
||
<div style=text-align:center>
|
||
<h3><span class=mw-headline id=Reflexion_an_bewegten_durchsichtigen_Medien. data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Reflection on moving transparent media.</font></font></span></h3>
|
||
</div>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>An example where the tensions in the aether would cause movement is the reflection of electromagnetic plane waves at the boundary of moving insulators. Let us denote the angle of incidence by</font></font><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \varphi }" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \varphi }
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,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 class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.838ex;width:1.52ex;height:2.176ex alt="{\displaystyle \varphi }" data-moz-translations-id=8></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>, with the index</font> </font><i data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>e</font></font></i><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>the incident components, with</font> </font><i data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>r</font></font></i><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>the reflected components, is according to the known laws</font></font></p>
|
||
<table width=100%>
|
||
<tbody>
|
||
<tr>
|
||
<td valign=center style=text-align:left width=5%></td>
|
||
<td align=center><span class=mwe-math-element><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=0><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle Y_{e}=\sin \left({\frac {x\ \sin \varphi +z_{1}\cos \varphi }{\lambda }}-{\frac {t}{T}}\right)2\pi ,}" data-moz-translations-id=1><semantics data-moz-translations-id=2>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=3>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=4>
|
||
<msub data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
Y
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=7>
|
||
<mi data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e
|
||
</font></font></mi>
|
||
</mrow>
|
||
</msub>
|
||
<mo data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mrow data-moz-translations-id=12>
|
||
<mo data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=14>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=15>
|
||
<mfrac data-moz-translations-id=16>
|
||
<mrow data-moz-translations-id=17>
|
||
<mi data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mtext data-moz-translations-id=19>
|
||
|
||
</mtext>
|
||
<mi data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<msub data-moz-translations-id=24>
|
||
<mi data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=26>
|
||
<mn data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
<mi data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
cos
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mi data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
λ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=33>
|
||
<mfrac data-moz-translations-id=34>
|
||
<mi data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
T
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mn data-moz-translations-id=38><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=39><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
π</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle Y_{e}=\sin \left({\frac {x\ \sin \varphi +z_{1}\cos \varphi }{\lambda }}-{\frac {t}{T}}\ right)2\pi ,}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="38.456ex" height="6.176ex" style="vertical-align: -2.505ex;" viewBox="0 -1580.7 16557.4 2659.1" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle Y_{e}=\sin \left({\frac {x\ \sin \varphi +z_{1}\cos \varphi }{\lambda }}-{\frac {t}{T}}\right)2\pi ,}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-59" d="M66 637Q54 637 49 637T39 638T32 641T30 647T33 664T42 682Q44 683 56 683Q104 680 165 680Q288 680 306 683H316Q322 677 322 674T320 656Q316 643 310 637H298Q242 637 242 624Q242 619 292 477T343 333L346 336Q350 340 358 349T379 373T411 410T454 461Q546 568 561 587T577 618Q577 634 545 637Q528 637 528 647Q528 649 530 661Q533 676 535 679T549 683Q551 683 578 682T657 680Q684 680 713 681T746 682Q763 682 763 673Q763 669 760 657T755 643Q753 637 734 637Q662 632 617 587Q608 578 477 424L348 273L322 169Q295 62 295 57Q295 46 363 46Q379 46 384 45T390 35Q390 33 388 23Q384 6 382 4T366 1Q361 1 324 1T232 2Q170 2 138 2T102 1Q84 1 84 9Q84 14 87 24Q88 27 89 30T90 35T91 39T93 42T96 44T101 45T107 45T116 46T129 46Q168 47 180 50T198 63Q201 68 227 171L252 274L129 623Q128 624 127 625T125 627T122 629T118 631T113 633T105 634T96 635T83 636T66 637Z"></path>
<path stroke-width="1" id="E1-MJMATHI-65" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z"></path>
<path stroke-width="1" id="E1-MJMAIN-69" d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C6" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMAIN-63" d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3BB" d="M166 673Q166 685 183 694H202Q292 691 316 644Q322 629 373 486T474 207T524 67Q531 47 537 34T546 15T551 6T555 2T556 -2T550 -11H482Q457 3 450 18T399 152L354 277L340 262Q327 246 293 207T236 141Q211 112 174 69Q123 9 111 -1T83 -12Q47 -12 47 20Q47 37 61 52T199 187Q229 216 266 252T321 306L338 322Q338 323 288 462T234 612Q214 657 183 657Q166 657 166 673Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMATHI-54" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C0" d="M132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMATHI-59" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-65" x="822" y="-213"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1289" y="0"></use>
<g transform="translate(2345,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
<g transform="translate(3574,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="7629" height="60" x="0" y="220"></rect>
<g transform="translate(60,738)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
<g transform="translate(989,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3C6" x="2385" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2B" x="3262" y="0"></use>
<g transform="translate(4262,0)">
 <use xlink:href="#E1-MJMATHI-7A" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="658" y="-213"></use>
</g>
<g transform="translate(5348,0)">
 <use xlink:href="#E1-MJMAIN-63"></use>
 <use xlink:href="#E1-MJMAIN-6F" x="444" y="0"></use>
 <use xlink:href="#E1-MJMAIN-73" x="945" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3C6" x="6855" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3BB" x="3523" y="-715"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="8091" y="0"></use>
<g transform="translate(9092,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="824" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMATHI-74" x="231" y="676"></use>
 <use xlink:href="#E1-MJMATHI-54" x="60" y="-698"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="10893" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-32" x="15204" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C0" x="15705" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2C" x="16278" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:38.456ex;height:6.176ex alt="{\displaystyle Y_{e}=\sin \left({\frac {x\ \sin \varphi +z_{1}\cos \varphi }{\lambda }}-{\frac {t}{T}}\ right)2\pi ,}" data-moz-translations-id=42></span> <p><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle L_{e}=\cos \varphi \sin \left({\frac {x\ \sin \varphi +z_{1}\cos \varphi }{\lambda }}-{\frac {t}{T}}\right)2\pi ,}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<msub data-moz-translations-id=6>
|
||
<mi data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
L
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=8>
|
||
<mi data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e
|
||
</font></font></mi>
|
||
</mrow>
|
||
</msub>
|
||
<mo data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
cos
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mrow data-moz-translations-id=16>
|
||
<mo data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=18>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=19>
|
||
<mfrac data-moz-translations-id=20>
|
||
<mrow data-moz-translations-id=21>
|
||
<mi data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mtext data-moz-translations-id=23>
|
||
|
||
</mtext>
|
||
<mi data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<msub data-moz-translations-id=28>
|
||
<mi data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=30>
|
||
<mn data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
<mi data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
cos
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mi data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
λ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=37>
|
||
<mfrac data-moz-translations-id=38>
|
||
<mi data-moz-translations-id=39><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
T
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mn data-moz-translations-id=42><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
π</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=44><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=45><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle L_{e}=\cos \varphi \sin \left({\frac {x\ \sin \varphi +z_{1}\cos \varphi }{\lambda }}-{\frac {t}{ T}}\right)2\pi ,}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="44.094ex" height="6.176ex" style="vertical-align: -2.505ex;" viewBox="0 -1580.7 18984.7 2659.1" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle L_{e}=\cos \varphi \sin \left({\frac {x\ \sin \varphi +z_{1}\cos \varphi }{\lambda }}-{\frac {t}{T}}\right)2\pi ,}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-4C" d="M228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 217 683Q271 680 344 680Q485 680 506 683H518Q524 677 524 674T522 656Q517 641 513 637H475Q406 636 394 628Q387 624 380 600T313 336Q297 271 279 198T252 88L243 52Q243 48 252 48T311 46H328Q360 46 379 47T428 54T478 72T522 106T564 161Q580 191 594 228T611 270Q616 273 628 273H641Q647 264 647 262T627 203T583 83T557 9Q555 4 553 3T537 0T494 -1Q483 -1 418 -1T294 0H116Q32 0 32 10Q32 17 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637Z"></path>
<path stroke-width="1" id="E1-MJMATHI-65" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-63" d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z"></path>
<path stroke-width="1" id="E1-MJMAIN-73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C6" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path>
<path stroke-width="1" id="E1-MJMAIN-69" d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3BB" d="M166 673Q166 685 183 694H202Q292 691 316 644Q322 629 373 486T474 207T524 67Q531 47 537 34T546 15T551 6T555 2T556 -2T550 -11H482Q457 3 450 18T399 152L354 277L340 262Q327 246 293 207T236 141Q211 112 174 69Q123 9 111 -1T83 -12Q47 -12 47 20Q47 37 61 52T199 187Q229 216 266 252T321 306L338 322Q338 323 288 462T234 612Q214 657 183 657Q166 657 166 673Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMATHI-54" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C0" d="M132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMATHI-4C" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-65" x="963" y="-213"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1389" y="0"></use>
<g transform="translate(2445,0)">
 <use xlink:href="#E1-MJMAIN-63"></use>
 <use xlink:href="#E1-MJMAIN-6F" x="444" y="0"></use>
 <use xlink:href="#E1-MJMAIN-73" x="945" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3C6" x="3951" y="0"></use>
<g transform="translate(4772,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
<g transform="translate(6002,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="7629" height="60" x="0" y="220"></rect>
<g transform="translate(60,738)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
<g transform="translate(989,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3C6" x="2385" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2B" x="3262" y="0"></use>
<g transform="translate(4262,0)">
 <use xlink:href="#E1-MJMATHI-7A" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="658" y="-213"></use>
</g>
<g transform="translate(5348,0)">
 <use xlink:href="#E1-MJMAIN-63"></use>
 <use xlink:href="#E1-MJMAIN-6F" x="444" y="0"></use>
 <use xlink:href="#E1-MJMAIN-73" x="945" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3C6" x="6855" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3BB" x="3523" y="-715"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="8091" y="0"></use>
<g transform="translate(9092,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="824" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMATHI-74" x="231" y="676"></use>
 <use xlink:href="#E1-MJMATHI-54" x="60" y="-698"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="10893" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-32" x="17632" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C0" x="18132" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2C" x="18706" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:44.094ex;height:6.176ex alt="{\displaystyle L_{e}=\cos \varphi \sin \left({\frac {x\ \sin \varphi +z_{1}\cos \varphi }{\lambda }}-{\frac {t}{ T}}\right)2\pi ,}" data-moz-translations-id=46></span><p><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle N_{e}=-\sin \varphi \sin \left({\frac {x\ \sin \varphi +z_{1}\cos \varphi }{\lambda }}-{\frac {t}{T}}\right)2\pi .}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<msub data-moz-translations-id=6>
|
||
<mi data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
N
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=8>
|
||
<mi data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e
|
||
</font></font></mi>
|
||
</mrow>
|
||
</msub>
|
||
<mo data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mo data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mrow data-moz-translations-id=17>
|
||
<mo data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=19>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=20>
|
||
<mfrac data-moz-translations-id=21>
|
||
<mrow data-moz-translations-id=22>
|
||
<mi data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mtext data-moz-translations-id=24>
|
||
|
||
</mtext>
|
||
<mi data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<msub data-moz-translations-id=29>
|
||
<mi data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=31>
|
||
<mn data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
<mi data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
cos
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mi data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
λ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=38>
|
||
<mfrac data-moz-translations-id=39>
|
||
<mi data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
T
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=42><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mn data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=44><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
π</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=45><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
.
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=46><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle N_{e}=-\sin \varphi \sin \left({\frac {x\ \sin \varphi +z_{1}\cos \varphi }{\lambda }}-{\frac {t} {T}}\right)2\pi .}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="46.317ex" height="6.176ex" style="vertical-align: -2.505ex;" viewBox="0 -1580.7 19941.9 2659.1" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle N_{e}=-\sin \varphi \sin \left({\frac {x\ \sin \varphi +z_{1}\cos \varphi }{\lambda }}-{\frac {t}{T}}\right)2\pi .}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-4E" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path>
<path stroke-width="1" id="E1-MJMATHI-65" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z"></path>
<path stroke-width="1" id="E1-MJMAIN-69" d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C6" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMAIN-63" d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3BB" d="M166 673Q166 685 183 694H202Q292 691 316 644Q322 629 373 486T474 207T524 67Q531 47 537 34T546 15T551 6T555 2T556 -2T550 -11H482Q457 3 450 18T399 152L354 277L340 262Q327 246 293 207T236 141Q211 112 174 69Q123 9 111 -1T83 -12Q47 -12 47 20Q47 37 61 52T199 187Q229 216 266 252T321 306L338 322Q338 323 288 462T234 612Q214 657 183 657Q166 657 166 673Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMATHI-54" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C0" d="M132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMATHI-4E" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-65" x="1136" y="-213"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1511" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="2567" y="0"></use>
<g transform="translate(3512,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3C6" x="4908" y="0"></use>
<g transform="translate(5729,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
<g transform="translate(6959,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="7629" height="60" x="0" y="220"></rect>
<g transform="translate(60,738)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
<g transform="translate(989,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3C6" x="2385" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2B" x="3262" y="0"></use>
<g transform="translate(4262,0)">
 <use xlink:href="#E1-MJMATHI-7A" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="658" y="-213"></use>
</g>
<g transform="translate(5348,0)">
 <use xlink:href="#E1-MJMAIN-63"></use>
 <use xlink:href="#E1-MJMAIN-6F" x="444" y="0"></use>
 <use xlink:href="#E1-MJMAIN-73" x="945" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3C6" x="6855" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3BB" x="3523" y="-715"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="8091" y="0"></use>
<g transform="translate(9092,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="824" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMATHI-74" x="231" y="676"></use>
 <use xlink:href="#E1-MJMATHI-54" x="60" y="-698"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="10893" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-32" x="18589" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C0" x="19089" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2E" x="19663" y="0"></use>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:46.317ex;height:6.176ex alt="{\displaystyle N_{e}=-\sin \varphi \sin \left({\frac {x\ \sin \varphi +z_{1}\cos \varphi }{\lambda }}-{\frac {t} {T}}\right)2\pi .}" data-moz-translations-id=47></span></p></td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>If we move the plate with the speed</font> </font><i data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>v</font></font></i><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>in the direction</font> </font><i data-moz-translations-id=1><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>z</font></font></i><font style=vertical-align:inherit> <span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0> </span> <font style=vertical-align:inherit data-moz-translations-id=2>for the reflected waves</font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=2><font style=vertical-align:inherit></font></span></p>
|
||
<table width=100%>
|
||
<tbody>
|
||
<tr>
|
||
<td valign=center style=text-align:left width=5%></td>
|
||
<td align=center><span class=mwe-math-element><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=0><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle Y_{r}=R\ \sin \left({\frac {x\ \sin \varphi -z_{1}\cos \varphi }{\lambda }}+{\frac {A^{2}vz_{1}}{T}}-{\frac {t}{T}}\right)2\pi ,}" data-moz-translations-id=1><semantics data-moz-translations-id=2>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=3>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=4>
|
||
<msub data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
Y
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=7>
|
||
<mi data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
r
|
||
</font></font></mi>
|
||
</mrow>
|
||
</msub>
|
||
<mo data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
R
|
||
</font></font></mi>
|
||
<mtext data-moz-translations-id=11>
|
||
|
||
</mtext>
|
||
<mi data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mrow data-moz-translations-id=14>
|
||
<mo data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=16>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=17>
|
||
<mfrac data-moz-translations-id=18>
|
||
<mrow data-moz-translations-id=19>
|
||
<mi data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mtext data-moz-translations-id=21>
|
||
|
||
</mtext>
|
||
<mi data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<msub data-moz-translations-id=26>
|
||
<mi data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=28>
|
||
<mn data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
<mi data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
cos
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mi data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
λ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=35>
|
||
<mfrac data-moz-translations-id=36>
|
||
<mrow data-moz-translations-id=37>
|
||
<msup data-moz-translations-id=38>
|
||
<mi data-moz-translations-id=39><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=40>
|
||
<mn data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=42><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<msub data-moz-translations-id=43>
|
||
<mi data-moz-translations-id=44><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=45>
|
||
<mn data-moz-translations-id=46><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
</mrow>
|
||
<mi data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
T
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=48><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=49>
|
||
<mfrac data-moz-translations-id=50>
|
||
<mi data-moz-translations-id=51><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=52><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
T
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=53><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mn data-moz-translations-id=54><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=55><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
π</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=56><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=57><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle Y_{r}=R\ \sin \left({\frac {x\ \sin \varphi -z_{1}\cos \varphi }{\lambda }}+{\frac {A^{2} vz_{1}}{T}}-{\frac {t}{T}}\right)2\pi ,}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="50.9ex" height="6.343ex" style="vertical-align: -2.505ex;" viewBox="0 -1652.5 21915.2 2730.8" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle Y_{r}=R\ \sin \left({\frac {x\ \sin \varphi -z_{1}\cos \varphi }{\lambda }}+{\frac {A^{2}vz_{1}}{T}}-{\frac {t}{T}}\right)2\pi ,}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-59" d="M66 637Q54 637 49 637T39 638T32 641T30 647T33 664T42 682Q44 683 56 683Q104 680 165 680Q288 680 306 683H316Q322 677 322 674T320 656Q316 643 310 637H298Q242 637 242 624Q242 619 292 477T343 333L346 336Q350 340 358 349T379 373T411 410T454 461Q546 568 561 587T577 618Q577 634 545 637Q528 637 528 647Q528 649 530 661Q533 676 535 679T549 683Q551 683 578 682T657 680Q684 680 713 681T746 682Q763 682 763 673Q763 669 760 657T755 643Q753 637 734 637Q662 632 617 587Q608 578 477 424L348 273L322 169Q295 62 295 57Q295 46 363 46Q379 46 384 45T390 35Q390 33 388 23Q384 6 382 4T366 1Q361 1 324 1T232 2Q170 2 138 2T102 1Q84 1 84 9Q84 14 87 24Q88 27 89 30T90 35T91 39T93 42T96 44T101 45T107 45T116 46T129 46Q168 47 180 50T198 63Q201 68 227 171L252 274L129 623Q128 624 127 625T125 627T122 629T118 631T113 633T105 634T96 635T83 636T66 637Z"></path>
<path stroke-width="1" id="E1-MJMATHI-72" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMATHI-52" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path>
<path stroke-width="1" id="E1-MJMAIN-73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z"></path>
<path stroke-width="1" id="E1-MJMAIN-69" d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C6" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMAIN-63" d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3BB" d="M166 673Q166 685 183 694H202Q292 691 316 644Q322 629 373 486T474 207T524 67Q531 47 537 34T546 15T551 6T555 2T556 -2T550 -11H482Q457 3 450 18T399 152L354 277L340 262Q327 246 293 207T236 141Q211 112 174 69Q123 9 111 -1T83 -12Q47 -12 47 20Q47 37 61 52T199 187Q229 216 266 252T321 306L338 322Q338 323 288 462T234 612Q214 657 183 657Q166 657 166 673Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-76" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path>
<path stroke-width="1" id="E1-MJMATHI-54" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C0" d="M132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMATHI-59" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-72" x="822" y="-213"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1278" y="0"></use>
 <use xlink:href="#E1-MJMATHI-52" x="2334" y="0"></use>
<g transform="translate(3510,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
<g transform="translate(4740,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="7629" height="60" x="0" y="220"></rect>
<g transform="translate(60,738)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
<g transform="translate(989,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3C6" x="2385" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="3262" y="0"></use>
<g transform="translate(4262,0)">
 <use xlink:href="#E1-MJMATHI-7A" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="658" y="-213"></use>
</g>
<g transform="translate(5348,0)">
 <use xlink:href="#E1-MJMAIN-63"></use>
 <use xlink:href="#E1-MJMAIN-6F" x="444" y="0"></use>
 <use xlink:href="#E1-MJMAIN-73" x="945" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3C6" x="6855" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3BB" x="3523" y="-715"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="8091" y="0"></use>
<g transform="translate(9092,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="2729" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1061" y="513"></use>
 <use xlink:href="#E1-MJMATHI-76" x="1204" y="0"></use>
<g transform="translate(1689,0)">
 <use xlink:href="#E1-MJMATHI-7A" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="658" y="-213"></use>
</g>
</g>
 <use xlink:href="#E1-MJMATHI-54" x="1012" y="-698"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="12283" y="0"></use>
<g transform="translate(13284,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="824" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMATHI-74" x="231" y="676"></use>
 <use xlink:href="#E1-MJMATHI-54" x="60" y="-698"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="15085" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-32" x="20562" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C0" x="21063" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2C" x="21636" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:50.9ex;height:6.343ex alt="{\displaystyle Y_{r}=R\ \sin \left({\frac {x\ \sin \varphi -z_{1}\cos \varphi }{\lambda }}+{\frac {A^{2} vz_{1}}{T}}-{\frac {t}{T}}\right)2\pi ,}" data-moz-translations-id=58></span> <p><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle L_{r}=-R\ \sin \left({\frac {x\ \sin \varphi -z_{1}\cos \varphi }{\lambda }}+{\frac {A^{2}vz_{1}}{T}}-{\frac {t}{T}}\right)2\pi ,}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<msub data-moz-translations-id=6>
|
||
<mi data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
L
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=8>
|
||
<mi data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
r
|
||
</font></font></mi>
|
||
</mrow>
|
||
</msub>
|
||
<mo data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mo data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
R
|
||
</font></font></mi>
|
||
<mtext data-moz-translations-id=13>
|
||
|
||
</mtext>
|
||
<mi data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mrow data-moz-translations-id=16>
|
||
<mo data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=18>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=19>
|
||
<mfrac data-moz-translations-id=20>
|
||
<mrow data-moz-translations-id=21>
|
||
<mi data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mtext data-moz-translations-id=23>
|
||
|
||
</mtext>
|
||
<mi data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<msub data-moz-translations-id=28>
|
||
<mi data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=30>
|
||
<mn data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
<mi data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
cos
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mi data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
λ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=37>
|
||
<mfrac data-moz-translations-id=38>
|
||
<mrow data-moz-translations-id=39>
|
||
<msup data-moz-translations-id=40>
|
||
<mi data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=42>
|
||
<mn data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=44><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<msub data-moz-translations-id=45>
|
||
<mi data-moz-translations-id=46><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=47>
|
||
<mn data-moz-translations-id=48><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
</mrow>
|
||
<mi data-moz-translations-id=49><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
T
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=50><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=51>
|
||
<mfrac data-moz-translations-id=52>
|
||
<mi data-moz-translations-id=53><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=54><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
T
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=55><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mn data-moz-translations-id=56><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=57><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
π</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=58><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=59><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle L_{r}=-R\ \sin \left({\frac {x\ \sin \varphi -z_{1}\cos \varphi }{\lambda }}+{\frac {A^{2 }vz_{1}}{T}}-{\frac {t}{T}}\right)2\pi ,}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="52.94ex" height="6.343ex" style="vertical-align: -2.505ex;" viewBox="0 -1652.5 22793.7 2730.8" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle L_{r}=-R\ \sin \left({\frac {x\ \sin \varphi -z_{1}\cos \varphi }{\lambda }}+{\frac {A^{2}vz_{1}}{T}}-{\frac {t}{T}}\right)2\pi ,}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-4C" d="M228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 217 683Q271 680 344 680Q485 680 506 683H518Q524 677 524 674T522 656Q517 641 513 637H475Q406 636 394 628Q387 624 380 600T313 336Q297 271 279 198T252 88L243 52Q243 48 252 48T311 46H328Q360 46 379 47T428 54T478 72T522 106T564 161Q580 191 594 228T611 270Q616 273 628 273H641Q647 264 647 262T627 203T583 83T557 9Q555 4 553 3T537 0T494 -1Q483 -1 418 -1T294 0H116Q32 0 32 10Q32 17 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637Z"></path>
<path stroke-width="1" id="E1-MJMATHI-72" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-52" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path>
<path stroke-width="1" id="E1-MJMAIN-73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z"></path>
<path stroke-width="1" id="E1-MJMAIN-69" d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C6" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMAIN-63" d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3BB" d="M166 673Q166 685 183 694H202Q292 691 316 644Q322 629 373 486T474 207T524 67Q531 47 537 34T546 15T551 6T555 2T556 -2T550 -11H482Q457 3 450 18T399 152L354 277L340 262Q327 246 293 207T236 141Q211 112 174 69Q123 9 111 -1T83 -12Q47 -12 47 20Q47 37 61 52T199 187Q229 216 266 252T321 306L338 322Q338 323 288 462T234 612Q214 657 183 657Q166 657 166 673Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-76" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path>
<path stroke-width="1" id="E1-MJMATHI-54" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C0" d="M132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMATHI-4C" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-72" x="963" y="-213"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1378" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="2434" y="0"></use>
 <use xlink:href="#E1-MJMATHI-52" x="3213" y="0"></use>
<g transform="translate(4389,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
<g transform="translate(5618,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="7629" height="60" x="0" y="220"></rect>
<g transform="translate(60,738)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
<g transform="translate(989,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3C6" x="2385" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="3262" y="0"></use>
<g transform="translate(4262,0)">
 <use xlink:href="#E1-MJMATHI-7A" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="658" y="-213"></use>
</g>
<g transform="translate(5348,0)">
 <use xlink:href="#E1-MJMAIN-63"></use>
 <use xlink:href="#E1-MJMAIN-6F" x="444" y="0"></use>
 <use xlink:href="#E1-MJMAIN-73" x="945" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3C6" x="6855" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3BB" x="3523" y="-715"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="8091" y="0"></use>
<g transform="translate(9092,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="2729" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1061" y="513"></use>
 <use xlink:href="#E1-MJMATHI-76" x="1204" y="0"></use>
<g transform="translate(1689,0)">
 <use xlink:href="#E1-MJMATHI-7A" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="658" y="-213"></use>
</g>
</g>
 <use xlink:href="#E1-MJMATHI-54" x="1012" y="-698"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="12283" y="0"></use>
<g transform="translate(13284,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="824" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMATHI-74" x="231" y="676"></use>
 <use xlink:href="#E1-MJMATHI-54" x="60" y="-698"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="15085" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-32" x="21441" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C0" x="21941" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2C" x="22515" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:52.94ex;height:6.343ex alt="{\displaystyle L_{r}=-R\ \sin \left({\frac {x\ \sin \varphi -z_{1}\cos \varphi }{\lambda }}+{\frac {A^{2 }vz_{1}}{T}}-{\frac {t}{T}}\right)2\pi ,}" data-moz-translations-id=60></span><p><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle N_{r}=-R\ \sin \left({\frac {x\ \sin \varphi -z_{1}\cos \varphi }{\lambda }}+{\frac {A^{2}vz_{1}}{T}}-{\frac {t}{T}}\right)2\pi }" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<msub data-moz-translations-id=6>
|
||
<mi data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
N
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=8>
|
||
<mi data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
r
|
||
</font></font></mi>
|
||
</mrow>
|
||
</msub>
|
||
<mo data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mo data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
R
|
||
</font></font></mi>
|
||
<mtext data-moz-translations-id=13>
|
||
|
||
</mtext>
|
||
<mi data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mrow data-moz-translations-id=16>
|
||
<mo data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=18>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=19>
|
||
<mfrac data-moz-translations-id=20>
|
||
<mrow data-moz-translations-id=21>
|
||
<mi data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
<mtext data-moz-translations-id=23>
|
||
|
||
</mtext>
|
||
<mi data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<msub data-moz-translations-id=28>
|
||
<mi data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=30>
|
||
<mn data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
<mi data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
cos
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mi data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
λ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=37>
|
||
<mfrac data-moz-translations-id=38>
|
||
<mrow data-moz-translations-id=39>
|
||
<msup data-moz-translations-id=40>
|
||
<mi data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=42>
|
||
<mn data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mi data-moz-translations-id=44><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<msub data-moz-translations-id=45>
|
||
<mi data-moz-translations-id=46><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=47>
|
||
<mn data-moz-translations-id=48><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
</mrow>
|
||
<mi data-moz-translations-id=49><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
T
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=50><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=51>
|
||
<mfrac data-moz-translations-id=52>
|
||
<mi data-moz-translations-id=53><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=54><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
T
|
||
</font></font></mi>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=55><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mn data-moz-translations-id=56><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=57><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
π</font></font>
|
||
</mi>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=58><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle N_{r}=-R\ \sin \left({\frac {x\ \sin \varphi -z_{1}\cos \varphi }{\lambda }}+{\frac {A^{2 }vz_{1}}{T}}-{\frac {t}{T}}\right)2\pi }
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="52.577ex" height="6.343ex" style="vertical-align: -2.505ex;" viewBox="0 -1652.5 22637.2 2730.8" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle N_{r}=-R\ \sin \left({\frac {x\ \sin \varphi -z_{1}\cos \varphi }{\lambda }}+{\frac {A^{2}vz_{1}}{T}}-{\frac {t}{T}}\right)2\pi }</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-4E" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path>
<path stroke-width="1" id="E1-MJMATHI-72" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-52" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path>
<path stroke-width="1" id="E1-MJMAIN-73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z"></path>
<path stroke-width="1" id="E1-MJMAIN-69" d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C6" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMAIN-63" d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3BB" d="M166 673Q166 685 183 694H202Q292 691 316 644Q322 629 373 486T474 207T524 67Q531 47 537 34T546 15T551 6T555 2T556 -2T550 -11H482Q457 3 450 18T399 152L354 277L340 262Q327 246 293 207T236 141Q211 112 174 69Q123 9 111 -1T83 -12Q47 -12 47 20Q47 37 61 52T199 187Q229 216 266 252T321 306L338 322Q338 323 288 462T234 612Q214 657 183 657Q166 657 166 673Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-41" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMATHI-76" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path>
<path stroke-width="1" id="E1-MJMATHI-54" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C0" d="M132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMATHI-4E" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMATHI-72" x="1136" y="-213"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="1500" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="2556" y="0"></use>
 <use xlink:href="#E1-MJMATHI-52" x="3335" y="0"></use>
<g transform="translate(4511,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
<g transform="translate(5740,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="7629" height="60" x="0" y="220"></rect>
<g transform="translate(60,738)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
<g transform="translate(989,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3C6" x="2385" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="3262" y="0"></use>
<g transform="translate(4262,0)">
 <use xlink:href="#E1-MJMATHI-7A" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="658" y="-213"></use>
</g>
<g transform="translate(5348,0)">
 <use xlink:href="#E1-MJMAIN-63"></use>
 <use xlink:href="#E1-MJMAIN-6F" x="444" y="0"></use>
 <use xlink:href="#E1-MJMAIN-73" x="945" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3C6" x="6855" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3BB" x="3523" y="-715"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="8091" y="0"></use>
<g transform="translate(9092,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="2729" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMATHI-41" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-32" x="1061" y="513"></use>
 <use xlink:href="#E1-MJMATHI-76" x="1204" y="0"></use>
<g transform="translate(1689,0)">
 <use xlink:href="#E1-MJMATHI-7A" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-31" x="658" y="-213"></use>
</g>
</g>
 <use xlink:href="#E1-MJMATHI-54" x="1012" y="-698"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="12283" y="0"></use>
<g transform="translate(13284,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="824" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMATHI-74" x="231" y="676"></use>
 <use xlink:href="#E1-MJMATHI-54" x="60" y="-698"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="15085" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-32" x="21563" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C0" x="22063" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:52.577ex;height:6.343ex alt="{\displaystyle N_{r}=-R\ \sin \left({\frac {x\ \sin \varphi -z_{1}\cos \varphi }{\lambda }}+{\frac {A^{2 }vz_{1}}{T}}-{\frac {t}{T}}\right)2\pi }" data-moz-translations-id=59></span></p></td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>based on a coordinate system that moves with the plate. If we relate everything to a fixed coordinate system, we have</font></font><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle z_{1}=z-vt}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<msub data-moz-translations-id=6>
|
||
<mi data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=8>
|
||
<mn data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
<mo data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle z_{1}=z-vt}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,PHN2ZyB4bWxuczp4bGluaz0iaHR0cDovL3d3dy53My5vcmcvMTk5OS94bGluayIgd2lkdGg9IjExLjEzZXgiIGhlaWdodD0iMi4zNDNleCIgc3R5bGU9InZlcnRpY2FsLWFsaWduOiAtMC42NzFleDsiIHZpZXdCb3g9IjAgLTcxOS42IDQ3OTEuOSAxMDA4LjYiIHJvbGU9ImltZyIgZm9jdXNhYmxlPSJmYWxzZSIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIiBhcmlhLWxhYmVsbGVkYnk9Ik1hdGhKYXgtU1ZHLTEtVGl0bGUiPgo8dGl0bGUgaWQ9Ik1hdGhKYXgtU1ZHLTEtVGl0bGUiPntcZGlzcGxheXN0eWxlIHpfezF9PXotdnR9PC90aXRsZT4KPGRlZnMgYXJpYS1oaWRkZW49InRydWUiPgo8cGF0aCBzdHJva2Utd2lkdGg9IjEiIGlkPSJFMS1NSk1BVEhJLTdBIiBkPSJNMzQ3IDMzOFEzMzcgMzM4IDI5NCAzNDlUMjMxIDM2MFEyMTEgMzYwIDE5NyAzNTZUMTc0IDM0NlQxNjIgMzM1VDE1NSAzMjRMMTUzIDMyMFExNTAgMzE3IDEzOCAzMTdRMTE3IDMxNyAxMTcgMzI1UTExNyAzMzAgMTIwIDMzOVExMzMgMzc4IDE2MyA0MDZUMjI5IDQ0MFEyNDEgNDQyIDI0NiA0NDJRMjcxIDQ0MiAyOTEgNDI1VDMyOSAzOTJUMzY3IDM3NVEzODkgMzc1IDQxMSA0MDhUNDM0IDQ0MVE0MzUgNDQyIDQ0OSA0NDJINDYyUTQ2OCA0MzYgNDY4IDQzNFE0NjggNDMwIDQ2MyA0MjBUNDQ5IDM5OVQ0MzIgMzc3VDQxOCAzNThMNDExIDM0OVEzNjggMjk4IDI3NSAyMTRUMTYwIDEwNkwxNDggOTRMMTYzIDkzUTE4NSA5MyAyMjcgODJUMjkwIDcxUTMyOCA3MSAzNjAgOTBUNDAyIDE0MFE0MDYgMTQ5IDQwOSAxNTFUNDI0IDE1M1E0NDMgMTUzIDQ0MyAxNDNRNDQzIDEzOCA0NDIgMTM0UTQyNSA3MiAzNzYgMzFUMjc4IC0xMVEyNTIgLTExIDIzMiA2VDE5MyA0MFQxNTUgNTdRMTExIDU3IDc2IC0zUTcwIC0xMSA1OSAtMTFINTRINDFRMzUgLTUgMzUgLTJRMzUgMTMgOTMgODRRMTMyIDEyOSAyMjUgMjE0VDM0MCAzMjJRMzUyIDMzOCAzNDcgMzM4WiI+PC9wYXRoPgo8cGF0aCBzdHJva2Utd2lkdGg9IjEiIGlkPSJFMS1NSk1BSU4tMzEiIGQ9Ik0yMTMgNTc4TDIwMCA1NzNRMTg2IDU2OCAxNjAgNTYzVDEwMiA1NTZIODNWNjAySDEwMlExNDkgNjA0IDE4OSA2MTdUMjQ1IDY0MVQyNzMgNjYzUTI3NSA2NjYgMjg1IDY2NlEyOTQgNjY2IDMwMiA2NjBWMzYxTDMwMyA2MVEzMTAgNTQgMzE1IDUyVDMzOSA0OFQ0MDEgNDZINDI3VjBINDE2UTM5NSAzIDI1NyAzUTEyMSAzIDEwMCAwSDg4VjQ2SDExNFExMzYgNDYgMTUyIDQ2VDE3NyA0N1QxOTMgNTBUMjAxIDUyVDIwNyA1N1QyMTMgNjFWNTc4WiI+PC9wYXRoPgo8cGF0aCBzdHJva2Utd2lkdGg9IjEiIGlkPSJFMS1NSk1BSU4tM0QiIGQ9Ik01NiAzNDdRNTYgMzYwIDcwIDM2N0g3MDdRNzIyIDM1OSA3MjIgMzQ3UTcyMiAzMzYgNzA4IDMyOEwzOTAgMzI3SDcyUTU2IDMzMiA1NiAzNDdaTTU2IDE1M1E1NiAxNjggNzIgMTczSDcwOFE3MjIgMTYzIDcyMiAxNTNRNzIyIDE0MCA3MDcgMTMzSDcwUTU2IDE0MCA1NiAxNTNaIj48L3BhdGg+CjxwYXRoIHN0cm9rZS13aWR0aD0iMSIgaWQ9IkUxLU1KTUFJTi0yMjEyIiBkPSJNODQgMjM3VDg0IDI1MFQ5OCAyNzBINjc5UTY5NCAyNjIgNjk0IDI1MFQ2NzkgMjMwSDk4UTg0IDIzNyA4NCAyNTBaIj48L3BhdGg+CjxwYXRoIHN0cm9rZS13aWR0aD0iMSIgaWQ9IkUxLU1KTUFUSEktNzYiIGQ9Ik0xNzMgMzgwUTE3MyA0MDUgMTU0IDQwNVExMzAgNDA1IDEwNCAzNzZUNjEgMjg3UTYwIDI4NiA1OSAyODRUNTggMjgxVDU2IDI3OVQ1MyAyNzhUNDkgMjc4VDQxIDI3OEgyN1EyMSAyODQgMjEgMjg3UTIxIDI5NCAyOSAzMTZUNTMgMzY4VDk3IDQxOVQxNjAgNDQxUTIwMiA0NDEgMjI1IDQxN1QyNDkgMzYxUTI0OSAzNDQgMjQ2IDMzNVEyNDYgMzI5IDIzMSAyOTFUMjAwIDIwMlQxODIgMTEzUTE4MiA4NiAxODcgNjlRMjAwIDI2IDI1MCAyNlEyODcgMjYgMzE5IDYwVDM2OSAxMzlUMzk4IDIyMlQ0MDkgMjc3UTQwOSAzMDAgNDAxIDMxN1QzODMgMzQzVDM2NSAzNjFUMzU3IDM4M1EzNTcgNDA1IDM3NiA0MjRUNDE3IDQ0M1E0MzYgNDQzIDQ1MSA0MjVUNDY3IDM2N1E0NjcgMzQwIDQ1NSAyODRUNDE4IDE1OVQzNDcgNDBUMjQxIC0xMVExNzcgLTExIDEzOSAyMlExMDIgNTQgMTAyIDExN1ExMDIgMTQ4IDExMCAxODFUMTUxIDI5OFExNzMgMzYyIDE3MyAzODBaIj48L3BhdGg+CjxwYXRoIHN0cm9rZS13aWR0aD0iMSIgaWQ9IkUxLU1KTUFUSEktNzQiIGQ9Ik0yNiAzODVRMTkgMzkyIDE5IDM5NVExOSAzOTkgMjIgNDExVDI3IDQyNVEyOSA0MzAgMzYgNDMwVDg3IDQzMUgxNDBMMTU5IDUxMVExNjIgNTIyIDE2NiA1NDBUMTczIDU2NlQxNzkgNTg2VDE4NyA2MDNUMTk3IDYxNVQyMTEgNjI0VDIyOSA2MjZRMjQ3IDYyNSAyNTQgNjE1VDI2MSA1OTZRMjYxIDU4OSAyNTIgNTQ5VDIzMiA0NzBMMjIyIDQzM1EyMjIgNDMxIDI3MiA0MzFIMzIzUTMzMCA0MjQgMzMwIDQyMFEzMzAgMzk4IDMxNyAzODVIMjEwTDE3NCAyNDBRMTM1IDgwIDEzNSA2OFExMzUgMjYgMTYyIDI2UTE5NyAyNiAyMzAgNjBUMjgzIDE0NFEyODUgMTUwIDI4OCAxNTFUMzAzIDE1M0gzMDdRMzIyIDE1MyAzMjIgMTQ1UTMyMiAxNDIgMzE5IDEzM1EzMTQgMTE3IDMwMSA5NVQyNjcgNDhUMjE2IDZUMTU1IC0xMVExMjUgLTExIDk4IDRUNTkgNTZRNTcgNjQgNTcgODNWMTAxTDkyIDI0MVExMjcgMzgyIDEyOCAzODNRMTI4IDM4NSA3NyAzODVIMjZaIj48L3BhdGg+CjwvZGVmcz4KPGcgc3Ryb2tlPSJjdXJyZW50Q29sb3IiIGZpbGw9ImN1cnJlbnRDb2xvciIgc3Ryb2tlLXdpZHRoPSIwIiB0cmFuc2Zvcm09Im1hdHJpeCgxIDAgMCAtMSAwIDApIiBhcmlhLWhpZGRlbj0idHJ1ZSI+CiA8dXNlIHhsaW5rOmhyZWY9IiNFMS1NSk1BVEhJLTdBIiB4PSIwIiB5PSIwIj48L3VzZT4KIDx1c2UgdHJhbnNmb3JtPSJzY2FsZSgwLjcwNykiIHhsaW5rOmhyZWY9IiNFMS1NSk1BSU4tMzEiIHg9IjY1OCIgeT0iLTIxMyI+PC91c2U+CiA8dXNlIHhsaW5rOmhyZWY9IiNFMS1NSk1BSU4tM0QiIHg9IjExOTciIHk9IjAiPjwvdXNlPgogPHVzZSB4bGluazpocmVmPSIjRTEtTUpNQVRISS03QSIgeD0iMjI1MyIgeT0iMCI+PC91c2U+CiA8dXNlIHhsaW5rOmhyZWY9IiNFMS1NSk1BSU4tMjIxMiIgeD0iMjk0NCIgeT0iMCI+PC91c2U+CiA8dXNlIHhsaW5rOmhyZWY9IiNFMS1NSk1BVEhJLTc2IiB4PSIzOTQ0IiB5PSIwIj48L3VzZT4KIDx1c2UgeGxpbms6aHJlZj0iI0UxLU1KTUFUSEktNzQiIHg9IjQ0MzAiIHk9IjAiPjwvdXNlPgo8L2c+Cjwvc3ZnPg==" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.671ex;width:11.13ex;height:2.343ex alt="{\displaystyle z_{1}=z-vt}" data-moz-translations-id=16></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>to set. The factor </font></font><i data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>R</font></font></i><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> is not exactly the same as when the system is at rest. The electromagnetic pressure causes work to be done or consumed and this reduces or increases the energy of the radiation. However, the boundary conditions can only be fulfilled if one assumes that this change in energy is distributed between reflected and refracted rays as if the incoming wave already carried with it the energy increased or decreased in proportion to this work. </font><span data-moz-translations-id=1><span class=pagenum id=x title="Seite:Translatorische Bewegung des Lichtäthers.djvu/10" data-moz-translations-id=0><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2>[ </font></span></span></span><span data-moz-translations-id=5><span class=pagenum id=x title="Seite:Translatorische Bewegung des Lichtäthers.djvu/10" data-moz-translations-id=0><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=1><b data-moz-translations-id=2><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/10 title="Seite:Translatorische Bewegung des Lichtäthers.djvu/10" data-moz-translations-id=3><font style=vertical-align:inherit data-moz-translations-id=4>x</font></a></b></span></span></span><span data-moz-translations-id=11><span class=pagenum id=x title="Seite:Translatorische Bewegung des Lichtäthers.djvu/10" data-moz-translations-id=0><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2> ]</font></span></span></span><i data-moz-translations-id=15><font style=vertical-align:inherit data-moz-translations-id=0> quantities of the order Av</font></i></font><span data-moz-translations-id=18><span class=pagenum id=x title="Page:Translatoric movement of light ether.djvu/10" data-moz-translations-id=19> <span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=20><font style=vertical-align:inherit></font><b data-moz-translations-id=21><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/10 title="Page:Translatoric movement of light ether.djvu/10" data-moz-translations-id=22><font style=vertical-align:inherit></font></a></b><font style=vertical-align:inherit></font></span> </span></span><i data-moz-translations-id=23></i></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\mathfrak {T}}={\frac {\partial {\mathfrak {R}}}{\partial x}}-{\frac {\partial {\mathfrak {P}}}{\partial z}}={\frac {2\sin 2\varphi }{\lambda }}R\left\{{\frac {1}{\lambda }}\sin \left({\frac {2z\ \cos \varphi }{\lambda }}-{\frac {2vt\ \cos \varphi }{\lambda }}\right)2\pi \right\},}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=7>
|
||
<mi mathvariant=fraktur data-moz-translations-id=8><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
T
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=10>
|
||
<mfrac data-moz-translations-id=11>
|
||
<mrow data-moz-translations-id=12>
|
||
<mi mathvariant=normal data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=14>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=15>
|
||
<mi mathvariant=fraktur data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
R
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=17>
|
||
<mi mathvariant=normal data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=21>
|
||
<mfrac data-moz-translations-id=22>
|
||
<mrow data-moz-translations-id=23>
|
||
<mi mathvariant=normal data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=25>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=26>
|
||
<mi mathvariant=fraktur data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
P
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=28>
|
||
<mi mathvariant=normal data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=31><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=32>
|
||
<mfrac data-moz-translations-id=33>
|
||
<mrow data-moz-translations-id=34>
|
||
<mn data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mn data-moz-translations-id=38><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=39><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mi data-moz-translations-id=40><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
λ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mi data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
R
|
||
</font></font></mi>
|
||
<mrow data-moz-translations-id=42>
|
||
<mo data-moz-translations-id=43><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=44>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=45>
|
||
<mfrac data-moz-translations-id=46>
|
||
<mn data-moz-translations-id=47><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=48><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
λ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mi data-moz-translations-id=49><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
sin
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=50><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mrow data-moz-translations-id=51>
|
||
<mo data-moz-translations-id=52><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mrow data-moz-translations-id=53>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=54>
|
||
<mfrac data-moz-translations-id=55>
|
||
<mrow data-moz-translations-id=56>
|
||
<mn data-moz-translations-id=57><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=58><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mtext data-moz-translations-id=59>
|
||
|
||
</mtext>
|
||
<mi data-moz-translations-id=60><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
cos
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=61><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=62><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mi data-moz-translations-id=63><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
λ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=64><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=65>
|
||
<mfrac data-moz-translations-id=66>
|
||
<mrow data-moz-translations-id=67>
|
||
<mn data-moz-translations-id=68><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=69><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=70><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
<mtext data-moz-translations-id=71>
|
||
|
||
</mtext>
|
||
<mi data-moz-translations-id=72><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
cos
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=73><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=74><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
φ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mi data-moz-translations-id=75><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
λ</font></font>
|
||
</mi>
|
||
</mfrac>
|
||
</mrow>
|
||
</mrow>
|
||
<mo data-moz-translations-id=76><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mn data-moz-translations-id=77><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
<mi data-moz-translations-id=78><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
π</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mo data-moz-translations-id=79><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
}
|
||
</font></font></mo>
|
||
</mrow>
|
||
<mo data-moz-translations-id=80><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=81><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\mathfrak {T}}={\frac {\partial {\mathfrak {R}}}{\partial x}}-{\frac {\partial {\mathfrak {P}}}{\partial z }}={\frac {2\sin 2\varphi }{\lambda }}R\left\{{\frac {1}{\lambda }}\sin \left({\frac {2z\ \cos \varphi }{\lambda }}-{\frac {2vt\ \cos \varphi }{\lambda }}\right)2\pi \right\},}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="66.963ex" height="6.176ex" style="vertical-align: -2.505ex;" viewBox="0 -1580.7 28831 2659.1" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle {\mathfrak {T}}={\frac {\partial {\mathfrak {R}}}{\partial x}}-{\frac {\partial {\mathfrak {P}}}{\partial z}}={\frac {2\sin 2\varphi }{\lambda }}R\left\{{\frac {1}{\lambda }}\sin \left({\frac {2z\ \cos \varphi }{\lambda }}-{\frac {2vt\ \cos \varphi }{\lambda }}\right)2\pi \right\},}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJFRAK-54" d="M289 686Q338 686 439 668T565 649Q606 649 641 672Q656 683 664 690T674 700L675 701Q676 698 676 692V681L641 636Q608 591 602 588Q577 575 528 575Q490 575 438 583L426 585L416 578Q335 520 335 465Q335 437 393 366T452 259Q452 226 406 171Q387 146 351 115L341 106L358 97Q438 58 475 58Q525 58 598 124L608 133Q617 119 617 118Q617 114 606 103Q513 0 448 -27L438 -25Q401 -19 337 14T234 48Q186 48 122 -3L112 -11L106 -3L101 5L110 15Q160 63 209 105L224 117H310Q384 163 384 210Q384 238 329 303T263 398Q262 400 262 404Q262 427 290 476T368 580Q383 596 381 596Q315 622 228 622Q159 622 118 593T76 516Q76 482 96 461T139 431L107 399L75 367Q34 403 34 472Q34 525 64 572T148 652Q207 686 289 686Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJFRAK-52" d="M27 496Q31 569 102 627T234 685Q236 685 241 685T251 686Q287 686 318 672T367 638T399 598T418 564L423 550Q424 554 434 567T463 601T505 639T561 671T626 685Q672 685 688 659T710 572Q713 533 721 523T766 513Q781 513 787 514T794 516Q796 512 798 509T801 504T802 501T787 493Q702 461 624 401L607 389Q655 383 688 358L697 352V342Q699 330 699 297Q704 209 710 173T734 103Q751 69 765 69Q769 69 806 83L824 90V74Q823 73 759 24T693 -26Q692 -26 660 32L628 90L629 111Q631 159 631 177Q631 278 614 300Q584 340 523 340Q500 340 467 333T431 325Q429 325 429 322Q428 321 426 308T420 275T410 230T392 178T366 125L358 112L342 99Q306 70 269 38T213 -10T193 -26Q192 -26 163 0T116 26Q82 26 50 -8L42 -16L35 -8L27 0L35 10Q43 21 58 38T104 80T158 106Q179 106 218 65L235 48Q238 48 255 60T295 99T329 158Q352 231 352 359Q352 555 242 614Q210 628 187 628Q140 628 116 600T91 548Q91 522 138 464T185 382V376Q185 345 158 313T103 263L76 246Q74 244 64 253L54 260L65 267Q91 285 100 302Q111 318 111 337Q111 355 69 410T27 496ZM562 628Q504 628 443 507L435 491L436 479Q437 471 437 446Q437 396 432 351L529 389L602 426Q673 462 673 463H672Q644 470 637 483T622 553Q608 628 562 628Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJFRAK-50" d="M112 339Q112 354 91 380T49 438T28 497Q28 565 95 628T242 692Q261 692 277 689T307 682T331 670T351 655T367 637T379 619T388 600T395 582T401 565T405 550Q409 554 422 570T453 603T500 641Q573 692 637 692Q656 692 670 686T692 672T705 647T713 618T718 584Q720 568 721 562T728 546T742 534T768 530Q776 531 782 532T791 535T796 536Q799 536 804 521Q801 519 789 513T764 499T738 480Q697 447 680 414Q677 407 677 396Q677 370 713 312T750 210Q750 125 686 57T560 -11Q540 -11 475 13L410 37V31Q410 -9 412 -50T417 -118T420 -150Q419 -150 373 -184T326 -218L305 -208Q305 -207 307 -196T314 -165T322 -116T328 -46T331 43V63L318 66Q270 80 250 80Q233 80 213 70Q183 57 138 -3L128 -16L118 5L125 20Q193 154 282 154Q309 154 331 146V287Q331 444 327 469Q321 522 301 560Q284 590 251 611T184 633Q146 633 119 607T92 550Q92 539 94 534Q100 516 143 460T186 386Q186 366 170 336T119 281Q102 264 70 250L49 260L56 266Q64 271 72 278T90 296T106 317T112 339ZM602 345Q602 357 608 371T622 397T642 421T661 441T678 456L686 462Q663 473 652 486T639 512T634 553Q631 594 624 608T593 631Q587 632 567 632Q539 632 497 600T416 497L410 484V122L467 103Q481 99 502 92T533 82T557 75T578 69T594 66T610 64Q647 64 672 87T697 144Q697 180 650 250T602 345Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path>
<path stroke-width="1" id="E1-MJMAIN-73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z"></path>
<path stroke-width="1" id="E1-MJMAIN-69" d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C6" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3BB" d="M166 673Q166 685 183 694H202Q292 691 316 644Q322 629 373 486T474 207T524 67Q531 47 537 34T546 15T551 6T555 2T556 -2T550 -11H482Q457 3 450 18T399 152L354 277L340 262Q327 246 293 207T236 141Q211 112 174 69Q123 9 111 -1T83 -12Q47 -12 47 20Q47 37 61 52T199 187Q229 216 266 252T321 306L338 322Q338 323 288 462T234 612Q214 657 183 657Q166 657 166 673Z"></path>
<path stroke-width="1" id="E1-MJMATHI-52" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path>
<path stroke-width="1" id="E1-MJMAIN-7B" d="M434 -231Q434 -244 428 -250H410Q281 -250 230 -184Q225 -177 222 -172T217 -161T213 -148T211 -133T210 -111T209 -84T209 -47T209 0Q209 21 209 53Q208 142 204 153Q203 154 203 155Q189 191 153 211T82 231Q71 231 68 234T65 250T68 266T82 269Q116 269 152 289T203 345Q208 356 208 377T209 529V579Q209 634 215 656T244 698Q270 724 324 740Q361 748 377 749Q379 749 390 749T408 750H428Q434 744 434 732Q434 719 431 716Q429 713 415 713Q362 710 332 689T296 647Q291 634 291 499V417Q291 370 288 353T271 314Q240 271 184 255L170 250L184 245Q202 239 220 230T262 196T290 137Q291 131 291 1Q291 -134 296 -147Q306 -174 339 -192T415 -213Q429 -213 431 -216Q434 -219 434 -231Z"></path>
<path stroke-width="1" id="E1-MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path>
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-63" d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z"></path>
<path stroke-width="1" id="E1-MJMATHI-76" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
<path stroke-width="1" id="E1-MJSZ3-28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path>
<path stroke-width="1" id="E1-MJSZ3-29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C0" d="M132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11Z"></path>
<path stroke-width="1" id="E1-MJMAIN-7D" d="M65 731Q65 745 68 747T88 750Q171 750 216 725T279 670Q288 649 289 635T291 501Q292 362 293 357Q306 312 345 291T417 269Q428 269 431 266T434 250T431 234T417 231Q380 231 345 210T298 157Q293 143 292 121T291 -28V-79Q291 -134 285 -156T256 -198Q202 -250 89 -250Q71 -250 68 -247T65 -230Q65 -224 65 -223T66 -218T69 -214T77 -213Q91 -213 108 -210T146 -200T183 -177T207 -139Q208 -134 209 3L210 139Q223 196 280 230Q315 247 330 250Q305 257 280 270Q225 304 212 352L210 362L209 498Q208 635 207 640Q195 680 154 696T77 713Q68 713 67 716T65 731Z"></path>
<path stroke-width="1" id="E1-MJSZ3-7B" d="M618 -943L612 -949H582L568 -943Q472 -903 411 -841T332 -703Q327 -682 327 -653T325 -350Q324 -28 323 -18Q317 24 301 61T264 124T221 171T179 205T147 225T132 234Q130 238 130 250Q130 255 130 258T131 264T132 267T134 269T139 272T144 275Q207 308 256 367Q310 436 323 519Q324 529 325 851Q326 1124 326 1154T332 1205Q369 1358 566 1443L582 1450H612L618 1444V1429Q618 1413 616 1411L608 1406Q599 1402 585 1393T552 1372T515 1343T479 1305T449 1257T429 1200Q425 1180 425 1152T423 851Q422 579 422 549T416 498Q407 459 388 424T346 364T297 318T250 284T214 264T197 254L188 251L205 242Q290 200 345 138T416 3Q421 -18 421 -48T423 -349Q423 -397 423 -472Q424 -677 428 -694Q429 -697 429 -699Q434 -722 443 -743T465 -782T491 -816T519 -845T548 -868T574 -886T595 -899T610 -908L616 -910Q618 -912 618 -928V-943Z"></path>
<path stroke-width="1" id="E1-MJSZ3-7D" d="M131 1414T131 1429T133 1447T148 1450H153H167L182 1444Q276 1404 336 1343T415 1207Q421 1184 421 1154T423 851L424 531L426 517Q434 462 460 415T518 339T571 296T608 274Q615 270 616 267T618 251Q618 241 618 238T615 232T608 227Q542 194 491 132T426 -15L424 -29L423 -350Q422 -622 422 -652T415 -706Q397 -780 337 -841T182 -943L167 -949H153Q137 -949 134 -946T131 -928Q131 -914 132 -911T144 -904Q146 -903 148 -902Q299 -820 323 -680Q324 -663 325 -349T327 -19Q355 145 541 241L561 250L541 260Q356 355 327 520Q326 537 325 850T323 1181Q315 1227 293 1267T244 1332T193 1374T151 1401T132 1413Q131 1414 131 1429Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJFRAK-54" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="954" y="0"></use>
<g transform="translate(2010,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1516" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-52" x="567" y="0"></use>
</g>
<g transform="translate(188,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="3988" y="0"></use>
<g transform="translate(4989,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1516" height="60" x="0" y="220"></rect>
<g transform="translate(60,738)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-50" x="567" y="0"></use>
</g>
<g transform="translate(240,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="7023" y="0"></use>
<g transform="translate(8079,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="3338" height="60" x="0" y="220"></rect>
<g transform="translate(60,738)">
 <use xlink:href="#E1-MJMAIN-32" x="0" y="0"></use>
<g transform="translate(667,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
 <use xlink:href="#E1-MJMAIN-32" x="2063" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C6" x="2563" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3BB" x="1377" y="-715"></use>
</g>
</g>
 <use xlink:href="#E1-MJMATHI-52" x="11657" y="0"></use>
<g transform="translate(12584,0)">
 <use xlink:href="#E1-MJSZ3-7B"></use>
<g transform="translate(750,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="703" height="60" x="0" y="220"></rect>
 <use xlink:href="#E1-MJMAIN-31" x="101" y="676"></use>
 <use xlink:href="#E1-MJMATHI-3BB" x="60" y="-715"></use>
</g>
<g transform="translate(1110,0)">
 <use xlink:href="#E1-MJMAIN-73"></use>
 <use xlink:href="#E1-MJMAIN-69" x="394" y="0"></use>
 <use xlink:href="#E1-MJMAIN-6E" x="673" y="0"></use>
</g>
<g transform="translate(2339,0)">
 <use xlink:href="#E1-MJSZ3-28"></use>
<g transform="translate(736,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="3666" height="60" x="0" y="220"></rect>
<g transform="translate(60,738)">
 <use xlink:href="#E1-MJMAIN-32" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="500" y="0"></use>
<g transform="translate(1385,0)">
 <use xlink:href="#E1-MJMAIN-63"></use>
 <use xlink:href="#E1-MJMAIN-6F" x="444" y="0"></use>
 <use xlink:href="#E1-MJMAIN-73" x="945" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3C6" x="2891" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3BB" x="1541" y="-715"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="4128" y="0"></use>
<g transform="translate(5129,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="4044" height="60" x="0" y="220"></rect>
<g transform="translate(60,738)">
 <use xlink:href="#E1-MJMAIN-32" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-76" x="500" y="0"></use>
 <use xlink:href="#E1-MJMATHI-74" x="986" y="0"></use>
<g transform="translate(1764,0)">
 <use xlink:href="#E1-MJMAIN-63"></use>
 <use xlink:href="#E1-MJMAIN-6F" x="444" y="0"></use>
 <use xlink:href="#E1-MJMAIN-73" x="945" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3C6" x="3270" y="0"></use>
</g>
 <use xlink:href="#E1-MJMATHI-3BB" x="1730" y="-715"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJSZ3-29" x="10150" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-32" x="13226" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C0" x="13727" y="0"></use>
</g>
 <use xlink:href="#E1-MJSZ3-7D" x="15051" y="-1"></use>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="28552" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.505ex;width:66.963ex;height:6.176ex alt="{\displaystyle {\mathfrak {T}}={\frac {\partial {\mathfrak {R}}}{\partial x}}-{\frac {\partial {\mathfrak {P}}}{\partial z }}={\frac {2\sin 2\varphi }{\lambda }}R\left\{{\frac {1}{\lambda }}\sin \left({\frac {2z\ \cos \varphi }{\lambda }}-{\frac {2vt\ \cos \varphi }{\lambda }}\right)2\pi \right\},}" data-moz-translations-id=82></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Let's sit</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle 0={\frac {\partial \alpha }{\partial x}}+{\frac {\partial \gamma }{\partial z}},}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mn data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
0
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=8>
|
||
<mfrac data-moz-translations-id=9>
|
||
<mrow data-moz-translations-id=10>
|
||
<mi mathvariant=normal data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=13>
|
||
<mi mathvariant=normal data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=17>
|
||
<mfrac data-moz-translations-id=18>
|
||
<mrow data-moz-translations-id=19>
|
||
<mi mathvariant=normal data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=22>
|
||
<mi mathvariant=normal data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle 0={\frac {\partial \alpha }{\partial x}}+{\frac {\partial \gamma }{\partial z}},}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.005ex;width:14.807ex;height:5.676ex alt="{\displaystyle 0={\frac {\partial \alpha }{\partial x}}+{\frac {\partial \gamma }{\partial z}},}" data-moz-translations-id=27></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>so</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle \alpha ={\frac {\partial \psi }{\partial z}}\quad \gamma =-{\frac {\partial \psi }{\partial x}},}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mi data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
α</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=8>
|
||
<mfrac data-moz-translations-id=9>
|
||
<mrow data-moz-translations-id=10>
|
||
<mi mathvariant=normal data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=13>
|
||
<mi mathvariant=normal data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mspace width=1em data-moz-translations-id=16></mspace>
|
||
<mi data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mo data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=20>
|
||
<mfrac data-moz-translations-id=21>
|
||
<mrow data-moz-translations-id=22>
|
||
<mi mathvariant=normal data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=25>
|
||
<mi mathvariant=normal data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=29><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle \alpha ={\frac {\partial \psi }{\partial z}}\quad \gamma =-{\frac {\partial \psi }{\partial x}},}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="21.059ex" height="5.676ex" style="vertical-align: -2.005ex;" viewBox="0 -1580.7 9067.1 2443.8" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle \alpha ={\frac {\partial \psi }{\partial z}}\quad \gamma =-{\frac {\partial \psi }{\partial x}},}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-3B1" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C8" d="M161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3B3" d="M31 249Q11 249 11 258Q11 275 26 304T66 365T129 418T206 441Q233 441 239 440Q287 429 318 386T371 255Q385 195 385 170Q385 166 386 166L398 193Q418 244 443 300T486 391T508 430Q510 431 524 431H537Q543 425 543 422Q543 418 522 378T463 251T391 71Q385 55 378 6T357 -100Q341 -165 330 -190T303 -216Q286 -216 286 -188Q286 -138 340 32L346 51L347 69Q348 79 348 100Q348 257 291 317Q251 355 196 355Q148 355 108 329T51 260Q49 251 47 251Q45 249 31 249Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMATHI-3B1" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="918" y="0"></use>
<g transform="translate(1974,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(151,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMATHI-3B3" x="4553" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="5374" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2212" x="6431" y="0"></use>
<g transform="translate(7209,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(99,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="8788" y="0"></use>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.005ex;width:21.059ex;height:5.676ex alt="{\displaystyle \alpha ={\frac {\partial \psi }{\partial z}}\quad \gamma =-{\frac {\partial \psi }{\partial x}},}" data-moz-translations-id=30></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>this is how the equations result</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle 0={\frac {\partial {\mathfrak {T}}}{\partial t}}+{\frac {\partial \psi }{\partial z}}{\frac {\partial {\mathfrak {T}}}{\partial x}}-{\frac {\partial \psi }{\partial x}}{\frac {\partial {\mathfrak {T}}}{\partial z,}}}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mn data-moz-translations-id=6><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
0
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=8>
|
||
<mfrac data-moz-translations-id=9>
|
||
<mrow data-moz-translations-id=10>
|
||
<mi mathvariant=normal data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=12>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=13>
|
||
<mi mathvariant=fraktur data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
T
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=15>
|
||
<mi mathvariant=normal data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=17><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=19>
|
||
<mfrac data-moz-translations-id=20>
|
||
<mrow data-moz-translations-id=21>
|
||
<mi mathvariant=normal data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=24>
|
||
<mi mathvariant=normal data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=26><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=27>
|
||
<mfrac data-moz-translations-id=28>
|
||
<mrow data-moz-translations-id=29>
|
||
<mi mathvariant=normal data-moz-translations-id=30><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=31>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=32>
|
||
<mi mathvariant=fraktur data-moz-translations-id=33><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
T
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=34>
|
||
<mi mathvariant=normal data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=36><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=37><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=38>
|
||
<mfrac data-moz-translations-id=39>
|
||
<mrow data-moz-translations-id=40>
|
||
<mi mathvariant=normal data-moz-translations-id=41><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=42><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=43>
|
||
<mi mathvariant=normal data-moz-translations-id=44><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=45><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=46>
|
||
<mfrac data-moz-translations-id=47>
|
||
<mrow data-moz-translations-id=48>
|
||
<mi mathvariant=normal data-moz-translations-id=49><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=50>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=51>
|
||
<mi mathvariant=fraktur data-moz-translations-id=52><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
T
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mrow>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=53>
|
||
<mi mathvariant=normal data-moz-translations-id=54><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=55><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
e.g
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=56><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
,
|
||
</font></font></mo>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=57><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle 0={\frac {\partial {\mathfrak {T}}}{\partial t}}+{\frac {\partial \psi }{\partial z}}{\frac {\partial {\mathfrak {T}}}{\partial x}}-{\frac {\partial \psi }{\partial x}}{\frac {\partial {\mathfrak {T}}}{\partial z,}}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="28.616ex" height="6.009ex" style="vertical-align: -2.338ex;" viewBox="0 -1580.7 12320.9 2587.3" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle 0={\frac {\partial {\mathfrak {T}}}{\partial t}}+{\frac {\partial \psi }{\partial z}}{\frac {\partial {\mathfrak {T}}}{\partial x}}-{\frac {\partial \psi }{\partial x}}{\frac {\partial {\mathfrak {T}}}{\partial z,}}}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2202" d="M202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306Z"></path>
<path stroke-width="1" id="E1-MJFRAK-54" d="M289 686Q338 686 439 668T565 649Q606 649 641 672Q656 683 664 690T674 700L675 701Q676 698 676 692V681L641 636Q608 591 602 588Q577 575 528 575Q490 575 438 583L426 585L416 578Q335 520 335 465Q335 437 393 366T452 259Q452 226 406 171Q387 146 351 115L341 106L358 97Q438 58 475 58Q525 58 598 124L608 133Q617 119 617 118Q617 114 606 103Q513 0 448 -27L438 -25Q401 -19 337 14T234 48Q186 48 122 -3L112 -11L106 -3L101 5L110 15Q160 63 209 105L224 117H310Q384 163 384 210Q384 238 329 303T263 398Q262 400 262 404Q262 427 290 476T368 580Q383 596 381 596Q315 622 228 622Q159 622 118 593T76 516Q76 482 96 461T139 431L107 399L75 367Q34 403 34 472Q34 525 64 572T148 652Q207 686 289 686Z"></path>
<path stroke-width="1" id="E1-MJMATHI-74" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-3C8" d="M161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Z"></path>
<path stroke-width="1" id="E1-MJMATHI-7A" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMAIN-30" x="0" y="0"></use>
 <use xlink:href="#E1-MJMAIN-3D" x="778" y="0"></use>
<g transform="translate(1834,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1364" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-54" x="567" y="0"></use>
</g>
<g transform="translate(217,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-74" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="3660" y="0"></use>
<g transform="translate(4661,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(151,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
</g>
</g>
</g>
<g transform="translate(6240,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1364" height="60" x="0" y="220"></rect>
<g transform="translate(60,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-54" x="567" y="0"></use>
</g>
<g transform="translate(112,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2212" x="8066" y="0"></use>
<g transform="translate(9067,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1339" height="60" x="0" y="220"></rect>
<g transform="translate(60,725)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-3C8" x="567" y="0"></use>
</g>
<g transform="translate(99,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-78" x="567" y="0"></use>
</g>
</g>
</g>
<g transform="translate(10646,0)">
<g transform="translate(120,0)">
<rect stroke="none" width="1434" height="60" x="0" y="220"></rect>
<g transform="translate(95,676)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJFRAK-54" x="567" y="0"></use>
</g>
<g transform="translate(60,-736)">
 <use xlink:href="#E1-MJMAIN-2202" x="0" y="0"></use>
 <use xlink:href="#E1-MJMATHI-7A" x="567" y="0"></use>
 <use xlink:href="#E1-MJMAIN-2C" x="1036" y="0"></use>
</g>
</g>
</g>
</g>
</svg> class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.338ex;width:28.616ex;height:6.009ex alt="{\displaystyle 0={\frac {\partial {\mathfrak {T}}}{\partial t}}+{\frac {\partial \psi }{\partial z}}{\frac {\partial {\mathfrak {T}}}{\partial x}}-{\frac {\partial \psi }{\partial x}}{\frac {\partial {\mathfrak {T}}}{\partial z,}}}" data-moz-translations-id=58></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>so</font></font></p>
|
||
<center><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle {\frac {\partial \psi }{\partial x}}=-v\quad \gamma =v.}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mfrac data-moz-translations-id=7>
|
||
<mrow data-moz-translations-id=8>
|
||
<mi mathvariant=normal data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
ψ</font></font>
|
||
</mi>
|
||
</mrow>
|
||
<mrow data-moz-translations-id=11>
|
||
<mi mathvariant=normal data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
∂</font></font>
|
||
</mi>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
x
|
||
</font></font></mi>
|
||
</mrow>
|
||
</mfrac>
|
||
</mrow>
|
||
<mo data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mo data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mi data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mspace width=1em data-moz-translations-id=17></mspace>
|
||
<mi data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
γ</font></font>
|
||
</mi>
|
||
<mo data-moz-translations-id=19><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
=
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
.
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle {\frac {\partial \psi }{\partial x}}=-v\quad \gamma =v.}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-2.005ex;width:18.159ex;height:5.676ex alt="{\displaystyle {\frac {\partial \psi }{\partial x}}=-v\quad \gamma =v.}" data-moz-translations-id=23></span></center>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>The tension in the aether would only stop when it moves at the same speed as the moving plate. But this only applies to low speeds. For larger ones, rather complicated values would arise, depending on the period of oscillation.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>The fact that the co-motion of the ether only eliminates the tensions in the ether to a first approximation is due to the fact that the movement causes aberration of the ray, which, as is well known, cannot be easily explained by the assumption of moving ether.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>It does not seem entirely hopeless to carry out experiments to see whether the aether is carried along in the direction of movement when reflected from rapidly moving plates.</font></font></p>
|
||
<div style=text-align:center>
|
||
<h3><span class=mw-headline id=Die_Annahme_ruhenden_Aethers. data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>The assumption of dormant aether.</font></font></span></h3>
|
||
</div>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>From the foregoing, we cannot entirely deny the possibility that the aether is moving. But the difficulties of carrying out such an assumption should already be sufficiently apparent in the examples outlined. As soon as it is possible to do justice to all the facts observed so far, if one considers the ether to be at rest, this path will initially be recommended for its simplicity. However, we then violate a very general mechanical principle </font></font><span data-moz-translations-id=0><span class=pagenum id=xi title="Page:Translatoric movement of the Lichtäthers.djvu/11" data-moz-translations-id=1><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=2><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>[ </font></font><b data-moz-translations-id=3><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/11 title="Page:Translatoric movement of the Lichtäthers.djvu/11" data-moz-translations-id=4><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>xi</font></font></a></b><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> ]</font></font></span></span></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> from the outset, </font><font style=vertical-align:inherit data-moz-translations-id=1>namely the equality of effect and counteraction, if we do not want to assume that the electromagnetic tensions that want to set the ether in motion are canceled out by a certain rigid structure. And in general, if we deny the ether mobility, it becomes a substrate with highly indeterminate properties that we actually only use to make the finite value of the speed of light more understandable.</font></font><span data-moz-translations-id=0><span class=pagenum id=xi title="Page: Translational movement of the light ether.djvu/11" data-moz-translations-id=1><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=2><b data-moz-translations-id=3><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/11 title="Page: Translational movement of the light ether.djvu/11" data-moz-translations-id=4><font style=vertical-align:inherit><font style=vertical-align:inherit>xi</font></font></a></b></span></span></span><font style=vertical-align:inherit><font style=vertical-align:inherit> if we do not want to assume that the electromagnetic voltages that want to set the ether in motion are lifted by a certain rigid structure. And in general, when we deny it mobility, the aether becomes a substrate of highly indeterminate properties, which we actually only use to make the finite value of the speed of light more understandable.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>But this path will be particularly recommended to anyone who is initially only interested in the most general presentation of the facts.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>The assumption of a resting aether was actually that advocated by </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Fresnel</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> , although there is still talk of a partial continuation of the aether. However, this continuation only takes place inside the weighable bodies as soon as they themselves are moved and can be completely replaced by the view that what is continued is not the ether itself, but the part of the electromagnetic energy that is present in ponderable bodies liable. This emerges very clearly in the calculation by </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=1><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Reiff </font></font></span><sup id=cite_ref-2 class=reference data-moz-translations-id=2><a href=#cite_note-2 data-moz-translations-id=3><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>[2]</font></font></a></sup><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> , which shows that the </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=4><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Fresnel</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> coefficient of continuation for a light ray in a moving medium results when the ether itself is at rest, the electromagnetic energy partly in the ether, partly in of the ponderable substance is present.</font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=4></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>continuation of a beam of light in the moving medium, when the aether itself rests, the electromagnetic energy is thematically present in the aether, then in the ponderable substance.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>A precise implementation of the theory based on the assumption of resting ether and unchangeably charged ions as well as a complete discussion of all essential observation results is contained in the work of HA </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Lorentz </font></font></span><sup id=cite_ref-3 class=reference data-moz-translations-id=1><a href=#cite_note-3 data-moz-translations-id=2><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>[3]</font></font></a></sup><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> . E. </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=3><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Wiechert </font></font></span><sup id=cite_ref-4 class=reference data-moz-translations-id=4><a href=#cite_note-4 data-moz-translations-id=5><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>[4]</font></font></a></sup><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> starts from very similar points of view </font><font style=vertical-align:inherit data-moz-translations-id=1>.</font></font></p>
|
||
<p><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit></font></span><font style=vertical-align:inherit></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit>Lorentz </font></font></span><font style=vertical-align:inherit><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=1><font style=vertical-align:inherit>Fresnel'</font></span></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=1><font style=vertical-align:inherit></font></span><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=1><font style=vertical-align:inherit></font></span><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=2></span><span data-moz-translations-id=3><span class=pagenum id=xii title="Page:Translatoric movement of Lichtäs.djvu/12" data-moz-translations-id=4><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=5><b data-moz-translations-id=6><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/12 title="Page:Translatoric movement of Lichtäs.djvu/12" data-moz-translations-id=7></a></b></span></span></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>introduces where</font></font><span data-moz-translations-id=3><span class=pagenum id=xii title="Page: Translational movement of the light ether.djvu/12" data-moz-translations-id=4><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=5><font style=vertical-align:inherit><font style=vertical-align:inherit>[ </font></font><b data-moz-translations-id=6><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/12 title="Page: Translational movement of the light ether.djvu/12" data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>xii</font></font></a></b><font style=vertical-align:inherit><font style=vertical-align:inherit> ]</font></font></span></span></span><font style=vertical-align:inherit></font><i data-moz-translations-id=8></i><span class=mwe-math-element data-moz-translations-id=9><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=10><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle t-t_{1}vA}" data-moz-translations-id=11><semantics data-moz-translations-id=12>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=13>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=14>
|
||
<mi data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
<mo data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<msub data-moz-translations-id=17>
|
||
<mi data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=19>
|
||
<mn data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
<mi data-moz-translations-id=21><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mi data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle t-t_{1}vA}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.671ex;width:8.445ex;height:2.509ex alt="{\displaystyle t-t_{1}vA}" data-moz-translations-id=24></span><font style=vertical-align:inherit><font style=vertical-align:inherit>introduces where
|
||
</font></font><span class=mwe-math-element data-moz-translations-id=25><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=26><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle t_{1}}" data-moz-translations-id=27><semantics data-moz-translations-id=28>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=29>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=30>
|
||
<msub data-moz-translations-id=31>
|
||
<mi data-moz-translations-id=32><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
t
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=33>
|
||
<mn data-moz-translations-id=34><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msub>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=35><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle t_{1}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.671ex;width:1.894ex;height:2.343ex alt="{\displaystyle t_{1}}" data-moz-translations-id=36></span><font style=vertical-align:inherit><font style=vertical-align:inherit>the time means that the light uses to get from a fixed point to an arbitrary considered in free Aether, and </font></font><i data-moz-translations-id=37></i><font style=vertical-align:inherit><font style=vertical-align:inherit>is the ratio of the body's speed to the speed of light.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>There is a further correction element for the continuation coefficient, which is caused by the fact that the movement also causes a change in the oscillation period according to the </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Doppler</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> principle. It also immediately follows that the influence of the earth's motion is </font></font><i data-moz-translations-id=1><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>only</font></font></i><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> shown in the aberration and that the prismatic deflection and the observation of the wavelength are not influenced by gratings. It also follows that a stationary current does not have an inductive effect on another wire due to the movement of the earth, because the movement creates an electrostatic charge which compensates for the effect.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>With the induction effect, the influence of the earth's movement only occurs in proportion to the size</font></font><span class=mwe-math-element data-moz-translations-id=0><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=1><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle v^{2}A^{2}}" data-moz-translations-id=2><semantics data-moz-translations-id=3>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=4>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=5>
|
||
<msup data-moz-translations-id=6>
|
||
<mi data-moz-translations-id=7><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=8>
|
||
<mn data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=10>
|
||
<mi data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=12>
|
||
<mn data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle v^{2}A^{2}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.338ex;width:4.979ex;height:2.676ex alt="{\displaystyle v^{2}A^{2}}" data-moz-translations-id=15></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>so there is no prospect of experimental confirmation.</font></font></p>
|
||
<p><font style=vertical-align:inherit></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>After Lorentz</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> 's theory, which has been worked out in detail, </font><font style=vertical-align:inherit data-moz-translations-id=1>proves that the assumption of immobile ether is completely sufficient to interpret a number of the diverse and hitherto little-explained phenomena of the influence of movement on electromagnetic processes, we must now point out a difficulty of a fundamental nature with consistent implementation of this theory.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>This difficulty is closely related to the fact that changing electromagnetic states give rise to forces that would set the aether in motion if it were mobile. Let us imagine a body in the free ether in the form of a thin plate, which has different radiating capacities for heat rays on both sides. Since, according to </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Maxwell</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> 's theory, the emitted rays exert a pressure on the surface, this pressure would predominate on the side of the greater radiation and set the body in motion. </font></font><span data-moz-translations-id=1><span class=pagenum id=xiii title="Page:Translatoric movement of light ether.djvu/13" data-moz-translations-id=2><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=3><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>[ </font></font><b data-moz-translations-id=4><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/13 title="Page:Translatoric movement of light ether.djvu/13" data-moz-translations-id=5><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>xiii</font></font></a></b><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> ]</font></font></span></span></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> So here we have the case that a body sets its center of gravity in motion through its own internal energy. So if we assume the ether to be immobile, then there would be a violation of the general principle of the center of gravity. On the other hand, the assumption of mobile ether, which has inertia, would avoid this objection.</font></font><span data-moz-translations-id=1><span class=pagenum id=xiii title="Page: Translational movement of the light ether.djvu/13" data-moz-translations-id=2><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=3><font style=vertical-align:inherit><font style=vertical-align:inherit>[ </font></font><b data-moz-translations-id=4><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/13 title="Page: Translational movement of the light ether.djvu/13" data-moz-translations-id=5><font style=vertical-align:inherit><font style=vertical-align:inherit>xiii</font></font></a></b><font style=vertical-align:inherit><font style=vertical-align:inherit> ]</font></font></span></span></span><font style=vertical-align:inherit><font style=vertical-align:inherit> We would therefore have the case that a body sets its center of gravity in motion through its own inner energy. If we therefore accept the ether as immobile, there would be a violation of the general sentence from the center of gravity. On the other hand, the assumption of movable ethers, which possesses inertia, would escape this objection.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>However, the principle of the center of gravity may possibly be of a special nature and be limited to certain groups of effects in which no moving forces occur in the ether, as is actually the case with the usually observed ponderomotive effects.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Under all circumstances, this point should be kept in mind for further theoretical training.</font></font></p>
|
||
<div style=text-align:center>
|
||
<h3><span class=mw-headline id=Die_Versuchsergebnisse. data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>The test results.</font></font></span></h3>
|
||
</div>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>After we have discussed the two theoretical setups that are to be separated from each other, let us take a look at the experiments that have been carried out so far.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>The main experiments that relate to our question are as follows:</font></font></p>
|
||
<div style=text-align:center>
|
||
<h4><span class=mw-headline id=A._Versuche_mit_positivem_Ergebniss. data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>A. Experiments with positive results.</font></font></span></h4>
|
||
</div>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>1. The aberration of the light of the fixed stars. As is well known, the aberration found a simple explanation through the emission hypothesis of light. The difficulties in the undulation theory have only recently been eliminated by HA </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Lorentz</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> by assuming a ether </font></font><i data-moz-translations-id=1><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>at rest</font></font></i><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> .</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>2. The </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Doppler</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> principle is of general kinematic importance in its nature, but must still be taken into account when considering the question of moving or resting aether.</font></font></p>
|
||
<p><font style=vertical-align:inherit></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>3. Fizeau</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> 's experiment </font><font style=vertical-align:inherit data-moz-translations-id=1>and its repetition by </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=1><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Michelson</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> and </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=2><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Morley</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> . A ray of light passing through flowing water in the direction of movement experiences an acceleration of the passage in proportion</font></font><span class=mwe-math-element data-moz-translations-id=3><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=4><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle 1+v(1-(1/n^{2}))}" data-moz-translations-id=5><semantics data-moz-translations-id=6>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=7>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=8>
|
||
<mn data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=10><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
+
|
||
</font></font></mo>
|
||
<mi data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mo stretchy=false data-moz-translations-id=12><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mn data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mo data-moz-translations-id=14><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
−</font></font>
|
||
</mo>
|
||
<mo stretchy=false data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
(
|
||
</font></font></mo>
|
||
<mn data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
1
|
||
</font></font></mn>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=17>
|
||
<mo data-moz-translations-id=18><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
/
|
||
</font></font></mo>
|
||
</mrow>
|
||
<msup data-moz-translations-id=19>
|
||
<mi data-moz-translations-id=20><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
n
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=21>
|
||
<mn data-moz-translations-id=22><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<mo stretchy=false data-moz-translations-id=23><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
<mo stretchy=false data-moz-translations-id=24><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
)
|
||
</font></font></mo>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=25><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle 1+v(1-(1/n^{2}))}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src=data:image/svg+xml;base64,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 class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.838ex;width:17.526ex;height:3.176ex alt="{\displaystyle 1+v(1-(1/n^{2}))}" data-moz-translations-id=26></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>, where </font></font><i data-moz-translations-id=27><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>v</font></font></i><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> denotes the speed, </font></font><i data-moz-translations-id=28><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>n</font></font></i><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> denotes the refractive index of the water. This result finds its complete explanation in the assumption of resting aether.</font></font></p><span style=display:none></span> <span> <span class=pagenum id=xiv title="Page:Translatoric movement of Lichtäthers.djvu/14" data-moz-translations-id=0><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=1><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>[ </font></font><b data-moz-translations-id=2><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/14 title="Page:Translatoric movement of Lichtäthers.djvu/14" data-moz-translations-id=3><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>xiv</font></font></a></b><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> ]</font></font></span></span> </span>
|
||
<div style=text-align:center>
|
||
<h4><span class=mw-headline id=B._Versuche_mit_negativem_Ergebniss. data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>B. Experiments with negative results.</font></font></span></h4>
|
||
</div>
|
||
<p><font style=vertical-align:inherit></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>1. Arago's</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> experiment </font><font style=vertical-align:inherit data-moz-translations-id=1>as to whether the movement of the earth influences the refraction of the light coming from the fixed stars.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>2. </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Ketteler</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> ’s interference experiment. The two beams of an interferential refractor are sent through two tubes filled with water and inclined towards each other in such a way that one beam hits one tube after the first reflection (on one glass plate), the other beam hits the second tube after the second reflection (on the other glass plate), i.e. runs in the opposite direction. Although both tubes are carried along by the earth's movement, there is no change in the interference fringes, although one beam is accelerated and the other is delayed.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Both results follow directly from the assumption of resting aether.</font></font></p>
|
||
<p><font style=vertical-align:inherit></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>3. Klinkerfues</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> ' experiment </font><font style=vertical-align:inherit data-moz-translations-id=1>to determine whether the absorption line of sodium vapor was influenced by the movement of the earth.</font></font></p>
|
||
<p><font style=vertical-align:inherit></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Klinkerfues</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> ' positive result </font><font style=vertical-align:inherit data-moz-translations-id=1>would be incompatible with the theory of resting aether. However, the shift found is so small that observation errors cannot be ruled out.</font></font></p>
|
||
<p><font style=vertical-align:inherit></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>4. Des Coudres</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> 's experiment </font><font style=vertical-align:inherit data-moz-translations-id=1>as to whether the induction effect of two coils of wire on a third is influenced by the fact that the direction of the induction of each coil falls once in the direction of the earth's movement, then in the direction perpendicular to it.</font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit>determine</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit> the induction effect of two wire rollers to a third by the fact that the direction of induction each roll once in the direction of the earth's movement, then falls into the perpendicular one.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>HA </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Lorentz</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> has proven that when the aether is at rest, this influence only depends on the square of the ratio of the speed of the earth to the speed of light, and is therefore not observable because the movement of the earth creates an electrostatic charge on the current conductors, which cancels out the first-order effect.</font></font></p>
|
||
<p><font style=vertical-align:inherit></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>5. Lodge</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> 's experiments </font><font style=vertical-align:inherit data-moz-translations-id=1>to investigate to what extent the surrounding aether is carried along by the movement of heavy or magnetizable masses.</font></font></p>
|
||
<p><font style=vertical-align:inherit></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>6. Zehnder</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> 's experiments </font><font style=vertical-align:inherit data-moz-translations-id=1>as to whether the ether </font><font style=vertical-align:inherit data-moz-translations-id=2>is moved</font></font><span data-moz-translations-id=1><span class=pagenum id=xv title="Page:Translatoric movement of light ether.djvu/15" data-moz-translations-id=2><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=3><b data-moz-translations-id=4><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/15 title="Page:Translatoric movement of light ether.djvu/15" data-moz-translations-id=5><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> xv</font></font></a></b></span></span></span><span data-moz-translations-id=1><span class=pagenum id=xv title="Page: Translational movement of the light ether.djvu/15" data-moz-translations-id=2><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=3><b data-moz-translations-id=4><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/15 title="Page: Translational movement of the light ether.djvu/15" data-moz-translations-id=5></a></b></span></span></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>moved by the</font> </font><span data-moz-translations-id=1><span class=pagenum id=xv title="Page: Translational movement of the light ether.djvu/15" data-moz-translations-id=2><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=3><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>[</font> </font><b data-moz-translations-id=4><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/15 title="Page: Translational movement of the light ether.djvu/15" data-moz-translations-id=5><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>xv</font></font></a></b><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>]</font></font></span></span></span><font style=vertical-align:inherit> <font style=vertical-align:inherit data-moz-translations-id=0>movement of a piston in an air-thinned room.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>The experiments of both observers were carried out with sensitive interference methods and gave negative results, so they are in perfect agreement with the assumption of a resting aether.</font></font></p>
|
||
<p><font style=vertical-align:inherit></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>7. Mascart</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> 's experiments </font><font style=vertical-align:inherit data-moz-translations-id=1>on the rotation of the plane of polarization in quartz. There was no change in rotation when the light rays were once in the direction of the earth's movement and then in the opposite direction.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>HA </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Lorentz</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> gave the theory of this phenomenon and found that, assuming the aether is at rest, the earth's movement changes the existing rotation and independently adds a second one.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>The negative result of </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Mascart</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> 's observations would show that in quartz these two rotations caused by the influence of the earth's movement just cancel each other out.</font></font></p>
|
||
<p><font style=vertical-align:inherit></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>8. Roentgen</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> 's experiment to determine </font><font style=vertical-align:inherit data-moz-translations-id=1>whether magnetic forces are generated by the movement of the earth from a charged capacitor.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>The negative result of this experiment is not compatible with the assumption of a resting aether.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Electric charges and magnets would also have to produce magnetic or electrical forces through the movement of the earth. The absence of these forces would also be incompatible with the requirement of a resting aether.</font></font></p>
|
||
<p><font style=vertical-align:inherit></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>9. Fizeau</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> 's </font><font style=vertical-align:inherit data-moz-translations-id=1>experiment on the influence of the earth's movement on the rotation of the plane of polarization through glass columns. </font><font style=vertical-align:inherit data-moz-translations-id=2>The positive result of this experiment has recently been questioned. It would </font><font style=vertical-align:inherit data-moz-translations-id=3>not be compatible with the assumption of resting aether according to HA </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=1><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Lorentz</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> 's investigations .</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>10. The </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Michelson</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> and </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=1><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Morley</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> experiment . If the aether is at rest, the time it takes for a ray of light to travel back and forth between two plates of glass must change as the plates move. The change depends on the size</font></font><span class=mwe-math-element data-moz-translations-id=2><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none data-moz-translations-id=3><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle v^{2}A^{2}}" data-moz-translations-id=4><semantics data-moz-translations-id=5>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=6>
|
||
<mstyle displaystyle=true scriptlevel=0 data-moz-translations-id=7>
|
||
<msup data-moz-translations-id=8>
|
||
<mi data-moz-translations-id=9><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
v
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=10>
|
||
<mn data-moz-translations-id=11><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
<msup data-moz-translations-id=12>
|
||
<mi data-moz-translations-id=13><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
A
|
||
</font></font></mi>
|
||
<mrow class=MJX-TeXAtom-ORD data-moz-translations-id=14>
|
||
<mn data-moz-translations-id=15><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
2
|
||
</font></font></mn>
|
||
</mrow>
|
||
</msup>
|
||
</mstyle>
|
||
</mrow>
|
||
<annotation encoding=application/x-tex data-moz-translations-id=16><font style=vertical-align:inherit><font style=vertical-align:inherit>
|
||
{\displaystyle v^{2}A^{2}}
|
||
</font></font></annotation>
|
||
</semantics>
|
||
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.338ex;width:4.979ex;height:2.676ex alt="{\displaystyle v^{2}A^{2}}" data-moz-translations-id=17></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>but should be observable when interference is used.</font></font></p>
|
||
<p> <span style=display:none data-moz-translations-id=0></span><span data-moz-translations-id=1><span class=pagenum id=xvi title="Page:Translatoric movement of Lichtäthers.djvu/16" data-moz-translations-id=2><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=3><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>[ </font></font><b data-moz-translations-id=4><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/16 title="Page:Translatoric movement of Lichtäthers.djvu/16" data-moz-translations-id=5><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>xvi</font></font></a></b><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> ]</font></font></span></span></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> The negative result is incompatible with the assumption of resting aether. This assumption can only be maintained by the hypothesis that the length dimensions of solid bodies are changed in the same proportion by the movement through the resting ether in order to compensate for the lengthening of the path of the light ray.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>The assumption of moving aether would give rise to the possibility that the aether is carried along by the movement of the earth and rests relative to it. This would explain all negative test results. But then the explanation of the aberration would remain.</font></font></p>
|
||
<div style=text-align:center>
|
||
<h3><span id=Gravitation_und_Tr.C3.A4gheit. data-moz-translations-id=0></span><span class=mw-headline id=Gravitation_und_Trägheit. data-moz-translations-id=1><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Gravity and inertia.</font></font></span></h3>
|
||
</div>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>The fact that gravity occupies an exceptional position and has no noticeable relationship to the other natural phenomena has often been emphasized. Its attribution to pressure forces is made more difficult by the fact that the energy reserve of a gravitating system has its greatest value when the individual parts of the mass are at an infinite distance. However, it is not always emphasized clearly enough that the acceleration of heavy masses is most likely related to gravity, because two independent definitions of mass are obtained through acceleration and gravity, which, as far as the very precise observations here go, are perfect to match. If one demands a further explanation of gravity, it would also have to give an account of why work is required to accelerate heavy masses. The fact that the two definitions of mass agree would then have to be a consequence of this explanation. It cannot be said with certainty whether such a theory can also be based on the ether, but it is probable.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>However, it must also be emphasized here that it is by no means certain whether all effects can be traced back to tensions in the ether, just as it remains doubtful whether the processes in the ether can be completely satisfactorily represented by the laws of mechanics.</font></font></p>
|
||
<p> <span style=display:none data-moz-translations-id=0></span><span data-moz-translations-id=1><span class=pagenum id=xvii title="Page:Translatoric movement of the light ether.djvu/17" data-moz-translations-id=2><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=3><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>[ </font></font><b data-moz-translations-id=4><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/17 title="Page:Translatoric movement of the light ether.djvu/17" data-moz-translations-id=5><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>xvii</font></font></a></b><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> ]</font></font></span></span></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> If we now summarize the results, the impression is that there are still a number of questions to be answered before we can decide on the path to be taken by science.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>As we have seen, the assumption of moving ether without inertia leads to improbable consequences.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>As an experiment that would be important for this assumption, we recommend trying to see whether the ether is set in motion by the movement of reflecting transparent media.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>But since the ether is not set in motion by the movement of solid bodies, as far as is known so far, a negative result is likely.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>The following difficulties stand in the way of the assumption that the ether is completely at rest:</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>1. Violation of the principle of the center of gravity (regarding the equality of effect and counteraction).</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>2. The negative results of the experiments of </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Michelson</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> and </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=1><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Morley</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> , that of </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=2><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Roentgen</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> and possibly the experiments of </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=3><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Mascart</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> and </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=4><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Fizeau</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> .</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>It would therefore be urgently desirable to repeat the following experiments or to carry out new ones.</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>1. Does the earth's movement affect the rotation of the plane of polarization</font></font></p>
|
||
<dl>
|
||
<dd><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>
|
||
a) naturally rotating substances,
|
||
</font></font></dd>
|
||
</dl>
|
||
<dl>
|
||
<dd><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>
|
||
b) through glass columns.
|
||
</font></font></dd>
|
||
</dl>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>2. Does the movement of the earth cause the magnetic forces required by the theory through the movement of electrical charges and the corresponding electrical forces through the movement of magnets?</font></font></p>
|
||
<p><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>When the results of these experiments are completely clear, it will become clear whether the otherwise simple theory of resting aether should be retained or abandoned. Should it have to be abandoned, it seems to me that only the </font><font style=vertical-align:inherit data-moz-translations-id=1>way out indicated by </font></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=0><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>Des Coudres</font></font></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> would remain; namely influence of gravity on the light ether. This assumption seems to me to be equivalent to the assumption of a low inertial mass of the light ether.</font></font></p>
|
||
<p> <span style=display:none data-moz-translations-id=0></span><span data-moz-translations-id=1><span class=pagenum id=xviii title="Page:Translatoric movement of light ether.djvu/18" data-moz-translations-id=2><span class="pagenumber noprint" style=color:#666666;display:inline;margin:0px;padding:0px data-moz-translations-id=3><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>[ </font></font><b data-moz-translations-id=4><a href=https://de.wikisource.org/wiki/Seite%3ATranslatorische_Bewegung_des_Licht%C3%A4thers.djvu/18 title="Page:Translatoric movement of light ether.djvu/18" data-moz-translations-id=5><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0>xviii</font></font></a></b><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> ]</font></font></span></span></span><font style=vertical-align:inherit><font style=vertical-align:inherit data-moz-translations-id=0> It would then be explained that the earth pulls the ether with it due to its significant gravity, while the movement of small solid bodies on the earth has no influence. The negative result of the experiments mentioned would be easily explained.</font></font></p>
|
||
<p><font style=vertical-align:inherit data-moz-translations-id=0></font><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3>But then the difficulties in explaining the aberration to which HA Lorentz</font></font></span> <font style=vertical-align:inherit data-moz-translations-id=4><font style=vertical-align:inherit data-moz-translations-id=5>drew attention</font> <font style=vertical-align:inherit data-moz-translations-id=6>would essentially remain .</font> <font style=vertical-align:inherit data-moz-translations-id=7>However, whether these cannot be overcome if the co-movement of the ether under the influence of gravity is taken into account requires a special investigation. For this purpose, the hydrodynamic problem would have to be solved to determine the movements of a liquid through which a point moves with a constant speed, which attracts the individual parts of the according to the according to the movements of a liquid through which a point moves with a constant speed, which attracts the individual parts of the according to</font></font> <span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9><font style=vertical-align:inherit data-moz-translations-id=10>Newton</font></font></span> <font style=vertical-align:inherit data-moz-translations-id=11><font style=vertical-align:inherit data-moz-translations-id=12>'s law.</font></font></p>
|
||
<p><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>The The</font></font> <span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3><font style=vertical-align:inherit data-moz-translations-id=4>Maxwell</font></font></span> <font style=vertical-align:inherit data-moz-translations-id=5><font style=vertical-align:inherit data-moz-translations-id=6>'s tensions that would set the ether in motion are always so small, because the appear appear multiplied by the reciprocal speed of light, that the movements generally become imperceptible even with a very small inertial mass.</font></font></p>
|
||
<p><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>The task of theory would then be to look for examples where the movement of the ether could actually be observed.</font></font></p>
|
||
</div>
|
||
<hr style=width:25%>
|
||
<div style=font-size:90%>
|
||
<ol class=references>
|
||
<li id=cite_note-1><span class=mw-cite-backlink data-moz-translations-id=0><a href=#cite_ref-1 aria-label="Jump high" title=Jump-jumping data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3>↑</font></font></a></span> <span class=reference-text data-moz-translations-id=4><font style=vertical-align:inherit data-moz-translations-id=5><font style=vertical-align:inherit data-moz-translations-id=6>I used</font></font> <span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=7><font style=vertical-align:inherit data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9>Jamin</font></font></span> <font style=vertical-align:inherit data-moz-translations-id=10><font style=vertical-align:inherit data-moz-translations-id=11>'s interferential refractor to test whether a light beam passing through a vacuum tube is accelerated by the cathode rays; but the result was definite negative.</font></font></span></li>
|
||
<li id=cite_note-2><span class=mw-cite-backlink data-moz-translations-id=0><a href=#cite_ref-2 aria-label="Jump high" title=Jump-jumping data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3>↑ </font></font></a></span> <span class=reference-text data-moz-translations-id=4><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=5><font style=vertical-align:inherit data-moz-translations-id=6><font style=vertical-align:inherit data-moz-translations-id=7>Reiff</font></font></span> <font style=vertical-align:inherit data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9>, Wied. Ann. 50. p. 367. 1893</font></font></span></li>
|
||
<li id=cite_note-3><span class=mw-cite-backlink data-moz-translations-id=0><a href=#cite_ref-3 aria-label="Jump high" title=Jump-jumping data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3>↑ </font></font></a></span> <span class=reference-text data-moz-translations-id=4><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=5><font style=vertical-align:inherit data-moz-translations-id=6><font style=vertical-align:inherit data-moz-translations-id=7>Lorentz</font></font></span> <font style=vertical-align:inherit data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9>,</font></font> <a href="https://de-wikisource-org.translate.goog/wiki/Versuch_einer_Theorie_der_electrischen_und_optischen_Erscheinungen_in_bewegten_K%C3%B6rpern?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="Attempt of a theory of electric and optical phenomena in moving bodies" data-moz-translations-id=10><font style=vertical-align:inherit data-moz-translations-id=11><font style=vertical-align:inherit data-moz-translations-id=12>attempt at a theory of electrical and optical phenomena in moving bodies</font></font></a> <font style=vertical-align:inherit data-moz-translations-id=13><font style=vertical-align:inherit data-moz-translations-id=14>. Leyden 1895 [WS:Template:1893].</font></font></span></li>
|
||
<li id=cite_note-4><span class=mw-cite-backlink data-moz-translations-id=0><a href=#cite_ref-4 aria-label="Jump high" title=Jump-jumping data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2><font style=vertical-align:inherit data-moz-translations-id=3>↑ </font></font></a></span> <span class=reference-text data-moz-translations-id=4><span style=letter-spacing:0.2em;left:0.1em data-moz-translations-id=5><font style=vertical-align:inherit data-moz-translations-id=6><font style=vertical-align:inherit data-moz-translations-id=7>Wiechert</font></font></span> <font style=vertical-align:inherit data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9>, Theory of Electrodynamics. Konigsberg 1896.</font></font></span></li>
|
||
</ol>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<noscript>
|
||
<img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;">
|
||
</noscript>
|
||
<div class="printfooter sf-hidden" data-nosnippet>From “ ”</div>
|
||
<div id=my-ss> <span></span></div><div id=ct-pagenums></div><div id=ct-popup style=position:absolute;width:100%;height:0px><div style="background-color:#000000;opacity:0.2;-ms-filter:alpha(opacity=20);filter:alpha(opacity=20);float:right;width:0px"> </div><div style="background-color:#000000;opacity:0.2;-ms-filter:alpha(opacity=20);filter:alpha(opacity=20);width:100%;height:0px;clear:both"></div><div style="background-color:#000000;opacity:0.2;-ms-filter:alpha(opacity=20);filter:alpha(opacity=20);width:0px"> </div></div></div>
|
||
<div id=catlinks class=catlinks data-mw=interface>
|
||
<div id=mw-normal-catlinks class=mw-normal-catlinks><a href="https://de-wikisource-org.translate.goog/wiki/Spezial:Kategorien?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title=Special:Categories data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2>Categories</font></font></a> <font style=vertical-align:inherit data-moz-translations-id=3><font style=vertical-align:inherit data-moz-translations-id=4>:</font></font>
|
||
|
||
<ul data-moz-translations-id=5><li data-moz-translations-id=6><a href="https://de-wikisource-org.translate.goog/wiki/Kategorie:Fertig?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title=Category:Finished data-moz-translations-id=7><font style=vertical-align:inherit data-moz-translations-id=8><font style=vertical-align:inherit data-moz-translations-id=9>Ready</font></font></a></li>
|
||
<li data-moz-translations-id=10><a href="https://de-wikisource-org.translate.goog/wiki/Kategorie:Werke?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title=Category:Works data-moz-translations-id=11><font style=vertical-align:inherit data-moz-translations-id=12><font style=vertical-align:inherit data-moz-translations-id=13>factories</font></font></a></li>
|
||
<li data-moz-translations-id=14><a href="https://de-wikisource-org.translate.goog/wiki/Kategorie:Spezielle_Relativit%C3%A4tstheorie?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="Category:Special relativity theory" data-moz-translations-id=15><font style=vertical-align:inherit data-moz-translations-id=16><font style=vertical-align:inherit data-moz-translations-id=17>Special theory of relativity</font></font></a></li>
|
||
<li data-moz-translations-id=18><a href="https://de-wikisource-org.translate.goog/wiki/Kategorie:1890er_Jahre?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title=Category:1890s data-moz-translations-id=19><font style=vertical-align:inherit data-moz-translations-id=20><font style=vertical-align:inherit data-moz-translations-id=21>1890s</font></font></a></li>
|
||
<li data-moz-translations-id=22><a href="https://de-wikisource-org.translate.goog/wiki/Kategorie:Neuhochdeutsch?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="Category:New German" data-moz-translations-id=23><font style=vertical-align:inherit data-moz-translations-id=24><font style=vertical-align:inherit data-moz-translations-id=25>New High German</font></font></a></li>
|
||
<li data-moz-translations-id=26><a href="https://de-wikisource-org.translate.goog/wiki/Kategorie:Darstellung?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="Category: display" data-moz-translations-id=27><font style=vertical-align:inherit data-moz-translations-id=28><font style=vertical-align:inherit data-moz-translations-id=29>Depiction</font></font></a></li>
|
||
<li data-moz-translations-id=30><a href="https://de-wikisource-org.translate.goog/wiki/Kategorie:Deutschland?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="Category: Germany" data-moz-translations-id=31><font style=vertical-align:inherit data-moz-translations-id=32><font style=vertical-align:inherit data-moz-translations-id=33>Germany</font></font></a></li>
|
||
<li data-moz-translations-id=34><a href="https://de-wikisource-org.translate.goog/wiki/Kategorie:Annalen_der_Physik_und_Chemie_1898?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" title="Category:Annals of Physics and Chemistry 1898" data-moz-translations-id=35><font style=vertical-align:inherit data-moz-translations-id=36><font style=vertical-align:inherit data-moz-translations-id=37>Annals of Physics and Chemistry 1898</font></font></a></ul>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
</main>
|
||
</div>
|
||
<div class=mw-footer-container>
|
||
<footer id=footer class=mw-footer role=contentinfo>
|
||
<ul id=footer-info>
|
||
<li id=footer-info-lastmod><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>This page was last edited on August 3, 2012 at 2:25 p.m.</font></font></li>
|
||
<li id=footer-info-copyright>
|
||
<div id=footer-info-copyright-stats><a class=external href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=https://tools.wmflabs.org/pageviews?pages%3DTranslatorische_Bewegung_des_Licht%25C3%25A4thers%26project%3Dde.wikisource.org" rel=nofollow data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2>Retrieval statistics</font></font></a></div></li>
|
||
</ul>
|
||
<ul id=footer-places>
|
||
<li id=footer-places-privacy><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy/de" data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2>data protection</font></font></a></li>
|
||
<li id=footer-places-about><a href="https://de-wikisource-org.translate.goog/wiki/Wikisource:%C3%9Cber_Wikisource?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2>Via Wikisource</font></font></a></li>
|
||
<li id=footer-places-disclaimers><a href="https://de-wikisource-org.translate.goog/wiki/Wikisource:Impressum?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US" data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2>imprint</font></font></a></li>
|
||
<li id=footer-places-wm-codeofconduct><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct" data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2>Code of Conduct</font></font></a></li>
|
||
<li id=footer-places-developers><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=https://developer.wikimedia.org" data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2>Developer</font></font></a></li>
|
||
<li id=footer-places-statslink><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=https://stats.wikimedia.org/%23/de.wikisource.org" data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2>statistics</font></font></a></li>
|
||
<li id=footer-places-cookiestatement><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement" data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2>Statement on cookies</font></font></a></li>
|
||
<li id=footer-places-mobileview><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=https://de.m.wikisource.org/w/index.php?title%3DTranslatorische_Bewegung_des_Licht%25C3%25A4thers%26mobileaction%3Dtoggle_view_mobile" class="noprint stopMobileRedirectToggle" data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1><font style=vertical-align:inherit data-moz-translations-id=2>Mobile view</font></font></a></li>
|
||
</ul>
|
||
<ul id=footer-icons class=noprint>
|
||
<li id=footer-copyrightico><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=https://wikimediafoundation.org/"><img src="data:image/png;base64,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" srcset width=88 height=31 alt="Wikimedia Foundation" loading=lazy sizes></a></li>
|
||
<li id=footer-poweredbyico><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-US&u=https://www.mediawiki.org/"><img src=data:image/png;base64,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 alt="Powered by MediaWiki" srcset width=88 height=31 loading=lazy sizes></a></li>
|
||
</ul>
|
||
</footer>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<div class=vector-settings id=p-dock-bottom>
|
||
<ul>
|
||
<li><button class="cdx-button cdx-button--icon-only vector-limited-width-toggle" data-event-name=limited-width-toggle-off><span class="vector-icon mw-ui-icon-fullScreen mw-ui-icon-wikimedia-fullScreen"></span> <span><font style=vertical-align:inherit data-moz-translations-id=0><font style=vertical-align:inherit data-moz-translations-id=1>Toggle the restricted width of the content</font></font></span> </button></li>
|
||
</ul>
|
||
</div>
|
||
|
||
<script type=application/ld+json>{"@context":"https://schema.org","@type":"Article","name":"Translatorische Bewegung des Lichtäthers","url":"https://de.wikisource.org/wiki/Translatorische_Bewegung_des_Licht%C3%A4thers","sameAs":"http://www.wikidata.org/entity/Q19230778","mainEntity":"http://www.wikidata.org/entity/Q19230778","author":{"@type":"Organization","name":"Autoren der Wikimedia-Projekte"},"publisher":{"@type":"Organization","name":"Wikimedia Foundation, Inc.","logo":{"@type":"ImageObject","url":"https://www.wikimedia.org/static/images/wmf-hor-googpub.png"}},"datePublished":"2009-03-28T19:35:40Z","dateModified":"2012-08-03T12:25:25Z"}</script>
|
||
|
||
<div id=goog-gt-tt class="VIpgJd-yAWNEb-L7lbkb skiptranslate sf-hidden" style='border-radius:12px;margin:0 0 0-23px;padding:0;font-family:"Google Sans",Arial,sans-serif' data-id></div>
|
||
|
||
<div id=mw-teleport-target class=vector-body><div class="oo-ui-windowManager oo-ui-windowManager-modal" aria-hidden=true inert><div class="oo-ui-window oo-ui-element-hidden oo-ui-dialog oo-ui-messageDialog sf-hidden" role=dialog aria-labelledby=ooui-1 data-moz-translations-id=0></div><div class="oo-ui-window oo-ui-element-hidden oo-ui-dialog oo-ui-processDialog sf-hidden" role=dialog aria-labelledby=ooui-2 data-moz-translations-id=14></div></div></div> |