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Display information for equation id:math.1199.802 on revision:1199

* Page found: Elektrodynamik Schöll (eq math.1199.802)

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Occurrences on the following pages:

Hash: e2c7f58ff780be52d2e2eeef7364c81c

TeX (original user input):

\Phi \left( \bar{r}\acute{\ },t \right)=\frac{1}{4\pi }\int_{\partial V}^{{}}{d{{f}_{R}}}\left[ \frac{\partial }{\partial n}\Phi \left( {\bar{r}} \right)-ik\Phi \left( {\bar{r}} \right)\cos \vartheta  \right]\frac{{{e}^{ikR}}}{R}

TeX (checked):

\Phi \left({\bar {r}}{\acute {\ }},t\right)={\frac {1}{4\pi }}\int _{\partial V}^{}{d{{f}_{R}}}\left[{\frac {\partial }{\partial n}}\Phi \left({\bar {r}}\right)-ik\Phi \left({\bar {r}}\right)\cos \vartheta \right]{\frac {{e}^{ikR}}{R}}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (2.299 KB / 480 B) :

Φ(r¯´,t)=14πVdfR[nΦ(r¯)ikΦ(r¯)cosϑ]eikRR
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">&#x03A6;</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><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 data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><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></mrow></mfrac></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>V</mi></mrow></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>n</mi></mrow></mrow></mfrac></mrow><mi mathvariant="normal">&#x03A6;</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 data-mjx-texclass="CLOSE">)</mo></mrow><mo>&#x2212;</mo><mi>i</mi><mi>k</mi><mi mathvariant="normal">&#x03A6;</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 data-mjx-texclass="CLOSE">)</mo></mrow><mi>cos</mi><mo>&#x2061;</mo><mi>&#x03D1;</mi><mo data-mjx-texclass="CLOSE">]</mo></mrow><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><mi>R</mi></mrow></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></mfrac></mrow></mstyle></mrow></math>

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

Identifiers

  • Φ
  • r¯
  • ´
  • t
  • π
  • V
  • fR
  • n
  • Φ
  • r¯
  • i
  • k
  • Φ
  • r¯
  • ϑ
  • e
  • i
  • k
  • R
  • R

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