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Display information for equation id:math.1199.231 on revision:1199
* Page found: Elektrodynamik Schöll (eq math.1199.231)
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Hash: 799cd8aa15c6016ca754864415d45940
TeX (original user input):
\begin{align}
& \Phi (\bar{r})=\int_{V}^{{}}{{{d}^{3}}r\acute{\ }}G\left( \bar{r}-\bar{r}\acute{\ } \right)\rho \left( \bar{r}\acute{\ } \right)+{{\varepsilon }_{0}}\sum\limits_{\alpha =1}^{n}{{{\Phi }_{\alpha }}\int_{S\alpha }^{{}}{{}}d\bar{f}\acute{\ }\cdot {{\nabla }_{r\acute{\ }}}G\left( \bar{r}-\bar{r}\acute{\ } \right)} \\
& \Rightarrow \Delta \Phi (\bar{r})=-\frac{1}{{{\varepsilon }_{0}}}\rho \\
\end{align}
TeX (checked):
{\begin{aligned}&\Phi ({\bar {r}})=\int _{V}^{}{{{d}^{3}}r{\acute {\ }}}G\left({\bar {r}}-{\bar {r}}{\acute {\ }}\right)\rho \left({\bar {r}}{\acute {\ }}\right)+{{\varepsilon }_{0}}\sum \limits _{\alpha =1}^{n}{{{\Phi }_{\alpha }}\int _{S\alpha }^{}{}d{\bar {f}}{\acute {\ }}\cdot {{\nabla }_{r{\acute {\ }}}}G\left({\bar {r}}-{\bar {r}}{\acute {\ }}\right)}\\&\Rightarrow \Delta \Phi ({\bar {r}})=-{\frac {1}{{\varepsilon }_{0}}}\rho \\\end{aligned}}
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