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Display information for equation id:math.1199.225 on revision:1199

* Page found: Elektrodynamik Schöll (eq math.1199.225)

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TeX (original user input):

\int_{\partial V}^{{}}{d\bar{f}\cdot \Phi (\bar{r}){{\nabla }_{r}}G\left( \bar{r}-\bar{r}\acute{\ } \right)-}\int_{\partial V}^{{}}{d\bar{f}\cdot G\left( \bar{r}-\bar{r}\acute{\ } \right){{\nabla }_{r}}\Phi (\bar{r})=-\frac{1}{{{\varepsilon }_{0}}}\left[ \int_{V}^{{}}{{{d}^{3}}r\Phi (\bar{r})\delta \left( \bar{r}-\bar{r}\acute{\ } \right)-}\int_{V}^{{}}{{{d}^{3}}rG\left( \bar{r}-\bar{r}\acute{\ } \right)\rho (\bar{r})} \right]}

TeX (checked):

\int _{\partial V}^{}{d{\bar {f}}\cdot \Phi ({\bar {r}}){{\nabla }_{r}}G\left({\bar {r}}-{\bar {r}}{\acute {\ }}\right)-}\int _{\partial V}^{}{d{\bar {f}}\cdot G\left({\bar {r}}-{\bar {r}}{\acute {\ }}\right){{\nabla }_{r}}\Phi ({\bar {r}})=-{\frac {1}{{\varepsilon }_{0}}}\left[\int _{V}^{}{{{d}^{3}}r\Phi ({\bar {r}})\delta \left({\bar {r}}-{\bar {r}}{\acute {\ }}\right)-}\int _{V}^{}{{{d}^{3}}rG\left({\bar {r}}-{\bar {r}}{\acute {\ }}\right)\rho ({\bar {r}})}\right]}

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\int_{\partial V}^{} d \bar{f} \cdot Φ (\bar{r}) \nabla_{r} G (\bar{r} - \bar{r} \overset{´}{}) - \int_{\partial V}^{} d \bar{f} \cdot G (\bar{r} - \bar{r} \overset{´}{}) \nabla_{r} Φ (\bar{r}) = - \frac{1}{ε_{0}} [\int_{V}^{} d^{3} r Φ (\bar{r}) δ (\bar{r} - \bar{r} \overset{´}{}) - \int_{V}^{} d^{3} r G (\bar{r} - \bar{r} \overset{´}{}) ρ (\bar{r})]

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Identifiers

$V$

$\bar{f}$

$Φ$

$\bar{r}$

$r$

$G$

$\bar{r}$

$\bar{r}$

$\overset{´}{}$

$V$

$\bar{f}$

$G$

$\bar{r}$

$\bar{r}$

$\overset{´}{}$

$r$

$Φ$

$\bar{r}$

$ε_{0}$

$V$

$r$

$Φ$

$\bar{r}$

$δ$

$\bar{r}$

$\bar{r}$

$\overset{´}{}$

$V$

$r$

$G$

$\bar{r}$

$\bar{r}$

$\overset{´}{}$

$ρ$

$\bar{r}$

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