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Display information for equation id:math.1199.1246 on revision:1199

* Page found: Elektrodynamik Schöll (eq math.1199.1246)

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Inhomogene Maxwellgleichungen im Vakuum Eq: math.2182.0

Hash: cddb0a503474620dc123d9775bb60fef

TeX (original user input):

\begin{align}
& {{\varepsilon }_{0}}\nabla \cdot \bar{E}=\rho  \\
& \Leftrightarrow {{\partial }_{1}}{{E}^{1}}+{{\partial }_{2}}{{E}^{2}}+{{\partial }_{3}}{{E}^{3}}=\frac{1}{{{\varepsilon }_{0}}c}c\rho  \\
& \Leftrightarrow {{\partial }_{1}}{{F}^{10}}+{{\partial }_{2}}{{F}^{20}}+{{\partial }_{3}}{{F}^{30}}=\frac{1}{{{\varepsilon }_{0}}c}{{j}^{0}} \\
& \Leftrightarrow {{\partial }_{\nu }}{{F}^{\nu 0}}=\frac{1}{{{\varepsilon }_{0}}c}{{j}^{0}} \\
& wegen{{\partial }_{0}}{{F}^{00}}=0 \\
& auch{{\partial }_{i}}{{F}^{i0}}=\frac{1}{{{\varepsilon }_{0}}c}{{j}^{0}} \\
\end{align}

TeX (checked):

{\begin{aligned}&{{\varepsilon }_{0}}\nabla \cdot {\bar {E}}=\rho \\&\Leftrightarrow {{\partial }_{1}}{{E}^{1}}+{{\partial }_{2}}{{E}^{2}}+{{\partial }_{3}}{{E}^{3}}={\frac {1}{{{\varepsilon }_{0}}c}}c\rho \\&\Leftrightarrow {{\partial }_{1}}{{F}^{10}}+{{\partial }_{2}}{{F}^{20}}+{{\partial }_{3}}{{F}^{30}}={\frac {1}{{{\varepsilon }_{0}}c}}{{j}^{0}}\\&\Leftrightarrow {{\partial }_{\nu }}{{F}^{\nu 0}}={\frac {1}{{{\varepsilon }_{0}}c}}{{j}^{0}}\\&wegen{{\partial }_{0}}{{F}^{00}}=0\\&auch{{\partial }_{i}}{{F}^{i0}}={\frac {1}{{{\varepsilon }_{0}}c}}{{j}^{0}}\\\end{aligned}}

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\begin{aligned} ε_{0} \nabla \cdot \bar{E} = ρ \\ \Leftrightarrow \partial_{1} E^{1} + \partial_{2} E^{2} + \partial_{3} E^{3} = \frac{1}{ε_{0} c} c ρ \\ \Leftrightarrow \partial_{1} F^{10} + \partial_{2} F^{20} + \partial_{3} F^{30} = \frac{1}{ε_{0} c} j^{0} \\ \Leftrightarrow \partial_{ν} F^{ν 0} = \frac{1}{ε_{0} c} j^{0} \\ w e g e n \partial_{0} F^{00} = 0 \\ a u c h \partial_{i} F^{i 0} = \frac{1}{ε_{0} c} j^{0} \end{aligned}

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Identifiers

$ε_{0}$

$\bar{E}$

$ρ$

$E$

$E$

$E$

$ε_{0}$

$c$

$c$

$ρ$

$F$

$F$

$F$

$ε_{0}$

$c$

$j$

$ν$

$F$

$ν$

$ε_{0}$

$c$

$j$

$w$

$e$

$g$

$e$

$n$

$F$

$a$

$u$

$c$

$h$

$i$

$F$

$i$

$ε_{0}$

$c$

$j$

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