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Display information for equation id:math.1199.812 on revision:1199
* Page found: Elektrodynamik Schöll (eq math.1199.812)
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Hash: 49fe16503e1e1a333365ea34dc6e8687
TeX (original user input):
\begin{align}
& R=R\acute{\ }\acute{\ } \\
& d\bar{f}\cdot \frac{\bar{r}-\bar{r}\acute{\ }}{\left| \bar{r}-\bar{r}\acute{\ } \right|}=-d\bar{f}\cdot \frac{\bar{r}-\bar{r}\acute{\ }\acute{\ }}{\left| \bar{r}-\bar{r}\acute{\ }\acute{\ } \right|}=+df\cos \vartheta \\
& \Rightarrow d\bar{f}\cdot {{\nabla }_{r}}\tilde{G}=df\frac{1}{2\pi }\frac{{{e}^{ikR}}}{R}\left( ik-\frac{1}{R} \right)\cos \vartheta \\
\end{align}
TeX (checked):
{\begin{aligned}&R=R{\acute {\ }}{\acute {\ }}\\&d{\bar {f}}\cdot {\frac {{\bar {r}}-{\bar {r}}{\acute {\ }}}{\left|{\bar {r}}-{\bar {r}}{\acute {\ }}\right|}}=-d{\bar {f}}\cdot {\frac {{\bar {r}}-{\bar {r}}{\acute {\ }}{\acute {\ }}}{\left|{\bar {r}}-{\bar {r}}{\acute {\ }}{\acute {\ }}\right|}}=+df\cos \vartheta \\&\Rightarrow d{\bar {f}}\cdot {{\nabla }_{r}}{\tilde {G}}=df{\frac {1}{2\pi }}{\frac {{e}^{ikR}}{R}}\left(ik-{\frac {1}{R}}\right)\cos \vartheta \\\end{aligned}}
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