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Display information for equation id:math.1439.235 on revision:1439

* Page found: Elektromagnetische Wellen (eq math.1439.235)

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TeX (original user input):

\begin{align}
& \tilde{G}\left( \bar{r}-\bar{r}\acute{\ } \right)=\int_{0}^{\infty }{d}\tau G\left( \bar{r}-\bar{r}\acute{\ },\tau  \right){{e}^{i\omega \tau }}=\frac{{{e}^{ik\left| \bar{r}-\bar{r}\acute{\ } \right|}}}{4\pi \left| \bar{r}-\bar{r}\acute{\ } \right|} \\
& k:=\frac{\omega }{c} \\
\end{align}

TeX (checked):

{\begin{aligned}&{\tilde {G}}\left({\bar {r}}-{\bar {r}}{\acute {\ }}\right)=\int _{0}^{\infty }{d}\tau G\left({\bar {r}}-{\bar {r}}{\acute {\ }},\tau \right){{e}^{i\omega \tau }}={\frac {{e}^{ik\left|{\bar {r}}-{\bar {r}}{\acute {\ }}\right|}}{4\pi \left|{\bar {r}}-{\bar {r}}{\acute {\ }}\right|}}\\&k:={\frac {\omega }{c}}\\\end{aligned}}

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G~(r¯r¯ ´)=0dτG(r¯r¯ ´,τ)eiωτ=eik|r¯r¯ ´|4π|r¯r¯ ´|k:=ωc
<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"><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><msubsup><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal"></mi></mrow></msubsup><mi>d</mi><mi>τ</mi><mi>G</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>,</mo><mi>τ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>ω</mi><mi>τ</mi></mrow></mrow></msup><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</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></mrow></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>π</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></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>k</mi><mo stretchy="false">:=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>ω</mi></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></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

  • G~
  • r¯
  • r¯
  •  ´
  • τ
  • G
  • r¯
  • r¯
  •  ´
  • τ
  • e
  • i
  • ω
  • τ
  • e
  • i
  • k
  • r¯
  • r¯
  •  ´
  • π
  • r¯
  • r¯
  •  ´
  • k
  • ω
  • c

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