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Display information for equation id:math.1199.172 on revision:1199

* Page found: Elektrodynamik Schöll (eq math.1199.172)

Occurrences on the following pages:

Die elektrostatische Feldenergie Eq: math.2086.12

Hash: 057d613e90d8ba66fe00f18c9388b1b3

TeX (original user input):

\begin{align}
& W=\frac{{{\varepsilon }_{0}}}{2}\left[ \int_{{{S}_{\infty }}}^{{}}{\left( \Phi (\bar{r})\bar{E} \right)d\bar{f}}+\int_{{{R}^{3}}}^{{}}{{{{\bar{E}}}^{2}}(\bar{r}){{d}^{3}}r} \right] \\
& \begin{matrix}
\lim   \\
r\to \infty   \\
\end{matrix}\left( \Phi (\bar{r})\bar{E} \right)=0 \\
&  \\
\end{align}

TeX (checked):

{\begin{aligned}&W={\frac {{\varepsilon }_{0}}{2}}\left[\int _{{S}_{\infty }}^{}{\left(\Phi ({\bar {r}}){\bar {E}}\right)d{\bar {f}}}+\int _{{R}^{3}}^{}{{{\bar {E}}^{2}}({\bar {r}}){{d}^{3}}r}\right]\\&{\begin{matrix}\lim \\r\to \infty \\\end{matrix}}\left(\Phi ({\bar {r}}){\bar {E}}\right)=0\\&\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (3.058 KB / 565 B) :

\begin{aligned} W = \frac{ε_{0}}{2} [\int_{S_{\infty}}^{} (Φ (\bar{r}) \bar{E}) d \bar{f} + \int_{R^{3}}^{} {\bar{E}}^{2} (\bar{r}) d^{3} r] \\ \begin{matrix} \lim \\ r \to \infty \end{matrix} (Φ (\bar{r}) \bar{E}) = 0 \end{aligned}

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Identifiers

$W$

$ε_{0}$

$S_{\infty}$

$Φ$

$\bar{r}$

$\bar{E}$

$\bar{f}$

$R$

$\bar{E}$

$\bar{r}$

$r$

$r$

$Φ$

$\bar{r}$

$\bar{E}$

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