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Display information for equation id:math.1199.715 on revision:1199

* Page found: Elektrodynamik Schöll (eq math.1199.715)

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TeX (original user input):

\begin{align}
& \int_{{}}^{{}}{{}}{{d}^{3}}r\acute{\ }{{\nabla }_{r\acute{\ }}}\left( {{x}_{k}}\acute{\ }\bar{j}\left( \bar{r}\acute{\ },\tau  \right) \right)=0=\int_{{}}^{{}}{{}}{{d}^{3}}r\acute{\ }\left( {{j}_{k}}-{{x}_{k}}\acute{\ }\dot{\rho }\left( \bar{r}\acute{\ },\tau  \right) \right) \\
& \Rightarrow \int_{{}}^{{}}{{{d}^{3}}r\acute{\ }\bar{j}\left( \bar{r}\acute{\ },\tau  \right)=\int_{{}}^{{}}{{}}{{d}^{3}}r\acute{\ }\bar{r}\acute{\ }\dot{\rho }\left( \bar{r}\acute{\ },\tau  \right)=:\dot{\bar{p}}\left( \tau  \right)} \\
\end{align}

TeX (checked):

{\begin{aligned}&\int _{}^{}{}{{d}^{3}}r{\acute {\ }}{{\nabla }_{r{\acute {\ }}}}\left({{x}_{k}}{\acute {\ }}{\bar {j}}\left({\bar {r}}{\acute {\ }},\tau \right)\right)=0=\int _{}^{}{}{{d}^{3}}r{\acute {\ }}\left({{j}_{k}}-{{x}_{k}}{\acute {\ }}{\dot {\rho }}\left({\bar {r}}{\acute {\ }},\tau \right)\right)\\&\Rightarrow \int _{}^{}{{{d}^{3}}r{\acute {\ }}{\bar {j}}\left({\bar {r}}{\acute {\ }},\tau \right)=\int _{}^{}{}{{d}^{3}}r{\acute {\ }}{\bar {r}}{\acute {\ }}{\dot {\rho }}\left({\bar {r}}{\acute {\ }},\tau \right)=:{\dot {\bar {p}}}\left(\tau \right)}\\\end{aligned}}

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d3r´r´(xk´j¯(r¯´,τ))=0=d3r´(jkxk´ρ˙(r¯´,τ))d3r´j¯(r¯´,τ)=d3r´r¯´ρ˙(r¯´,τ)=:p¯˙(τ)
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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>&#x03C4;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</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><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><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C1;</mi><mo>˙</mo></mover></mrow></mrow><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>&#x03C4;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi>:</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>¯</mo></mover></mrow></mrow><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>&#x03C4;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></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

  • r
  • ´
  • r
  • ´
  • xk
  • ´
  • j¯
  • r¯
  • ´
  • τ
  • r
  • ´
  • jk
  • xk
  • ´
  • ρ˙
  • r¯
  • ´
  • τ
  • r
  • ´
  • j¯
  • r¯
  • ´
  • τ
  • r
  • ´
  • r¯
  • ´
  • ρ˙
  • r¯
  • ´
  • τ
  • p¯˙
  • τ

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