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Display information for equation id:math.1199.230 on revision:1199
* Page found: Elektrodynamik Schöll (eq math.1199.230)
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TeX (original user input):
\Phi (\bar{r}\acute{\ })=\int_{V}^{{}}{{{d}^{3}}r}G\left( \bar{r}-\bar{r}\acute{\ } \right)\rho \left( {\bar{r}} \right)+{{\varepsilon }_{0}}\sum\limits_{\alpha =1}^{n}{{{\Phi }_{\alpha }}\oint\limits_{S\alpha }{{}}d\bar{f}\cdot {{\nabla }_{r}}G\left( \bar{r}-\bar{r}\acute{\ } \right)}
TeX (checked):
\Phi ({\bar {r}}{\acute {\ }})=\int _{V}^{}{{{d}^{3}}r}G\left({\bar {r}}-{\bar {r}}{\acute {\ }}\right)\rho \left({\bar {r}}\right)+{{\varepsilon }_{0}}\sum \limits _{\alpha =1}^{n}{{{\Phi }_{\alpha }}\oint \limits _{S\alpha }{}d{\bar {f}}\cdot {{\nabla }_{r}}G\left({\bar {r}}-{\bar {r}}{\acute {\ }}\right)}
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<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">Φ</mi><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">∫</mo><mrow data-mjx-texclass="ORD"><mi>V</mi></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><mi>G</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>−</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 data-mjx-texclass="CLOSE">)</mo></mrow><mi>ρ</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>+</mo><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mo>=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><msub><mi mathvariant="normal">Φ</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><munder><mstyle displaystyle="true"><mo>∮</mo></mstyle><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>S</mi><mi>α</mi></mrow></mrow></munder><mi>d</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>f</mi><mo>¯</mo></mover></mrow></mrow><mo>⋅</mo><msub><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mi>G</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>−</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 data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mstyle></mrow></math>
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