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Display information for equation id:math.1439.195 on revision:1439
* Page found: Elektromagnetische Wellen (eq math.1439.195)
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TeX (original user input):
\begin{align}
& \left( \bar{r}\bar{r}\acute{\ } \right)\bar{j}\left( \bar{r}\acute{\ },\tau \right)=\frac{1}{2}\left( \bar{r}\acute{\ }\times \bar{j} \right)\times \bar{r}+\frac{1}{2}\left[ \left( \bar{r}\bar{r}\acute{\ } \right)\bar{j}+\left( \bar{r}\bar{j} \right)\bar{r}\acute{\ } \right] \\
& und \\
& {{\nabla }_{r\acute{\ }}}\left[ {{x}_{k}}\acute{\ }\left( \bar{r}\bar{r}\acute{\ } \right)\bar{j} \right]=\left[ \left( \bar{r}\bar{r}\acute{\ } \right){{j}_{k}}+{{x}_{k}}\acute{\ }\left( \bar{r}\bar{j} \right)+{{x}_{k\acute{\ }}}\left( \bar{r}\bar{r}\acute{\ } \right){{\nabla }_{r\acute{\ }}}\cdot \bar{j} \right] \\
& {{\nabla }_{r\acute{\ }}}\cdot \bar{j}=-\frac{\partial }{\partial \tau }\rho \left( \bar{r}\acute{\ },\tau \right) \\
\end{align}
TeX (checked):
{\begin{aligned}&\left({\bar {r}}{\bar {r}}{\acute {\ }}\right){\bar {j}}\left({\bar {r}}{\acute {\ }},\tau \right)={\frac {1}{2}}\left({\bar {r}}{\acute {\ }}\times {\bar {j}}\right)\times {\bar {r}}+{\frac {1}{2}}\left[\left({\bar {r}}{\bar {r}}{\acute {\ }}\right){\bar {j}}+\left({\bar {r}}{\bar {j}}\right){\bar {r}}{\acute {\ }}\right]\\&und\\&{{\nabla }_{r{\acute {\ }}}}\left[{{x}_{k}}{\acute {\ }}\left({\bar {r}}{\bar {r}}{\acute {\ }}\right){\bar {j}}\right]=\left[\left({\bar {r}}{\bar {r}}{\acute {\ }}\right){{j}_{k}}+{{x}_{k}}{\acute {\ }}\left({\bar {r}}{\bar {j}}\right)+{{x}_{k{\acute {\ }}}}\left({\bar {r}}{\bar {r}}{\acute {\ }}\right){{\nabla }_{r{\acute {\ }}}}\cdot {\bar {j}}\right]\\&{{\nabla }_{r{\acute {\ }}}}\cdot {\bar {j}}=-{\frac {\partial }{\partial \tau }}\rho \left({\bar {r}}{\acute {\ }},\tau \right)\\\end{aligned}}
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