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Display information for equation id:math.1439.223 on revision:1439

* Page found: Elektromagnetische Wellen (eq math.1439.223)

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Hash: c0856b347fdb49bedbab5eef6c2a1b07

TeX (original user input):

\begin{align}
& \Phi \left( {\bar{r}} \right)=\int_{{}}^{{}}{{{d}^{3}}r\acute{\ }}\tilde{G}\left( \bar{r}-\bar{r}\acute{\ } \right)\frac{\rho \left( \bar{r}\acute{\ } \right)}{{{\varepsilon }_{0}}} \\
& mit \\
& \left( \Delta +{{k}^{2}} \right)\tilde{G}\left( \bar{r}-\bar{r}\acute{\ } \right)=-\delta \left( \bar{r}-\bar{r}\acute{\ } \right) \\
\end{align}

TeX (checked):

{\begin{aligned}&\Phi \left({\bar {r}}\right)=\int _{}^{}{{{d}^{3}}r{\acute {\ }}}{\tilde {G}}\left({\bar {r}}-{\bar {r}}{\acute {\ }}\right){\frac {\rho \left({\bar {r}}{\acute {\ }}\right)}{{\varepsilon }_{0}}}\\&mit\\&\left(\Delta +{{k}^{2}}\right){\tilde {G}}\left({\bar {r}}-{\bar {r}}{\acute {\ }}\right)=-\delta \left({\bar {r}}-{\bar {r}}{\acute {\ }}\right)\\\end{aligned}}

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MathML (2.717 KB / 496 B) :

Φ(r¯)=d3r ´G~(r¯r¯ ´)ρ(r¯ ´)ε0mit(Δ+k2)G~(r¯r¯ ´)=δ(r¯r¯ ´)
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>Φ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><msubsup><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><mrow data-mjx-texclass="ORD"><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover></mrow><mover><mi>G</mi><mo>~</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false"></mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>ρ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>m</mi><mi>i</mi><mi>t</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>Δ</mi><mo stretchy="false">+</mo><msup><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mover><mi>G</mi><mo>~</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false"></mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mo stretchy="false"></mo><mi>δ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false"></mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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

Identifiers

  • Φ
  • r¯
  • r
  •  ´
  • G~
  • r¯
  • r¯
  •  ´
  • ρ
  • r¯
  •  ´
  • ε0
  • m
  • i
  • t
  • Δ
  • k
  • G~
  • r¯
  • r¯
  •  ´
  • δ
  • r¯
  • r¯
  •  ´

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