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Display information for equation id:math.1438.122 on revision:1438

* Page found: Elektromagnetische Wellen (eq math.1438.122)

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Hash: f0088ec428beaad7a5f307c058696f1c

TeX (original user input):

G(\bar{r}-\bar{r}\acute{\ },t-t\acute{\ })=\left\{ \begin{matrix}
\frac{1}{4\pi \left| \bar{r}-\bar{r}\acute{\ } \right|}\delta \left( t-t\acute{\ }-\frac{\left| \bar{r}-\bar{r}\acute{\ } \right|}{c} \right)  \\
0\quad \quad \quad \quad \quad t<t\acute{\ }  \\
\end{matrix} \right.\ t>t\acute{\ }

TeX (checked):

G({\bar {r}}-{\bar {r}}{\acute {\ }},t-t{\acute {\ }})=\left\{{\begin{matrix}{\frac {1}{4\pi \left|{\bar {r}}-{\bar {r}}{\acute {\ }}\right|}}\delta \left(t-t{\acute {\ }}-{\frac {\left|{\bar {r}}-{\bar {r}}{\acute {\ }}\right|}{c}}\right)\\0\quad \quad \quad \quad \quad t<t{\acute {\ }}\\\end{matrix}}\right.\ t>t{\acute {\ }}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (3.281 KB / 499 B) :

G(r¯r¯´,tt´)={14π|r¯r¯´|δ(tt´|r¯r¯´|c)0t<t´t>t´
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>G</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo>,</mo><mi>t</mi><mo>&#x2212;</mo><mi>t</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo stretchy="false">)</mo><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>&#x03C0;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow></mrow></mrow></mfrac></mrow><mi>&#x03B4;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo>&#x2212;</mo><mi>t</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd><mn>0</mn><mspace width="1em"></mspace><mspace width="1em"></mspace><mspace width="1em"></mspace><mspace width="1em"></mspace><mspace width="1em"></mspace><mi>t</mi><mo>&lt;</mo><mi>t</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow><mspace width="0.5em"/><mi>t</mi><mo>&gt;</mo><mi>t</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Elektromagnetische Wellen page

Identifiers

  • G
  • r¯
  • r¯
  • ´
  • t
  • t
  • ´
  • π
  • r¯
  • r¯
  • ´
  • δ
  • t
  • t
  • ´
  • r¯
  • r¯
  • ´
  • c
  • t
  • t
  • ´
  • t
  • t
  • ´

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