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Display information for equation id:math.1199.720 on revision:1199

* Page found: Elektrodynamik Schöll (eq math.1199.720)

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Hash: 407dc0afd9c400fa331d165dc0a7804e

TeX (original user input):

\begin{align}
& {{{\bar{A}}}^{(1)}}\left( \bar{r},t \right)\approx \frac{-i\omega {{\mu }_{\acute{\ }0}}}{4\pi }\frac{\bar{p}\left( {{t}_{0}} \right){{e}^{-i\omega \left( t-\frac{r}{c} \right)}}}{r}=\frac{-i\omega {{\mu }_{\acute{\ }0}}}{4\pi }\frac{\bar{p}\left( {{t}_{0}} \right){{e}^{i\left( kr-\omega t \right)}}}{r} \\
& k:=\frac{\omega }{c} \\
\end{align}

TeX (checked):

{\begin{aligned}&{{\bar {A}}^{(1)}}\left({\bar {r}},t\right)\approx {\frac {-i\omega {{\mu }_{{\acute {\ }}0}}}{4\pi }}{\frac {{\bar {p}}\left({{t}_{0}}\right){{e}^{-i\omega \left(t-{\frac {r}{c}}\right)}}}{r}}={\frac {-i\omega {{\mu }_{{\acute {\ }}0}}}{4\pi }}{\frac {{\bar {p}}\left({{t}_{0}}\right){{e}^{i\left(kr-\omega t\right)}}}{r}}\\&k:={\frac {\omega }{c}}\\\end{aligned}}

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A¯(1)(r¯,t)iωμ´04πp¯(t0)eiω(trc)r=iωμ´04πp¯(t0)ei(krωt)rk:=ωc
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>A</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><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>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>&#x2248;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mi>i</mi><mi>&#x03C9;</mi><msub><mi>&#x03BC;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mn>0</mn></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>&#x03C0;</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mi>i</mi><mi>&#x03C9;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mi>i</mi><mi>&#x03C9;</mi><msub><mi>&#x03BC;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mn>0</mn></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>&#x03C0;</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>k</mi><mi>r</mi><mo>&#x2212;</mo><mi>&#x03C9;</mi><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>k</mi><mi>:</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x03C9;</mi></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Elektrodynamik Schöll page

Identifiers

  • A¯
  • r¯
  • t
  • i
  • ω
  • μ
  • ´
  • π
  • p¯
  • t0
  • e
  • i
  • ω
  • t
  • r
  • c
  • r
  • i
  • ω
  • μ
  • ´
  • π
  • p¯
  • t0
  • e
  • i
  • k
  • r
  • ω
  • t
  • r
  • k
  • ω
  • c

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