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Display information for equation id:math.1438.190 on revision:1438

* Page found: Elektromagnetische Wellen (eq math.1438.190)

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Hash: d72d71cbfb438f26373c3debe7ae2670

TeX (original user input):

\int_{{}}^{{}}{{{d}^{3}}r\acute{\ }}{{j}_{k}}(\bar{r}\acute{\ })=\int_{{}}^{{}}{{{d}^{3}}r\acute{\ }}{{\nabla }_{r\acute{\ }}}\cdot \left[ {{x}_{k}}\acute{\ }\bar{j}(\bar{r}\acute{\ }) \right]=\oint\limits_{S\infty }{d\bar{f}}\left[ {{x}_{k}}\acute{\ }\bar{j}(\bar{r}\acute{\ }) \right]=0

TeX (checked):

\int _{}^{}{{{d}^{3}}r{\acute {\ }}}{{j}_{k}}({\bar {r}}{\acute {\ }})=\int _{}^{}{{{d}^{3}}r{\acute {\ }}}{{\nabla }_{r{\acute {\ }}}}\cdot \left[{{x}_{k}}{\acute {\ }}{\bar {j}}({\bar {r}}{\acute {\ }})\right]=\oint \limits _{S\infty }{d{\bar {f}}}\left[{{x}_{k}}{\acute {\ }}{\bar {j}}({\bar {r}}{\acute {\ }})\right]=0

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MathML (experimentell; keine Bilder) rendering

MathML (3.585 KB / 476 B) :

d3r´jk(r¯´)=d3r´r´[xk´j¯(r¯´)]=Sdf¯[xk´j¯(r¯´)]=0
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><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><mrow data-mjx-texclass="ORD"><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><msub><mi>j</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</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 stretchy="false">)</mo><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><mrow data-mjx-texclass="ORD"><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><msub><mi mathvariant="normal">&#x2207;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><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></mrow></msub><mo>&#x22C5;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><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>j</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">(</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 stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo>=</mo><munder><mstyle displaystyle="true"><mo>&#x222E;</mo></mstyle><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>S</mi><mi mathvariant="normal">&#x221E;</mi></mrow></mrow></munder><mrow data-mjx-texclass="ORD"><mi>d</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>f</mi><mo>¯</mo></mover></mrow></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><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>j</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">(</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 stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo>=</mo><mn>0</mn></mstyle></mrow></math>

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

Identifiers

  • r
  • ´
  • jk
  • r¯
  • ´
  • r
  • ´
  • r
  • ´
  • xk
  • ´
  • j¯
  • r¯
  • ´
  • S
  • d
  • f¯
  • xk
  • ´
  • j¯
  • r¯
  • ´

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