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Display information for equation id:math.1199.1248 on revision:1199

* Page found: Elektrodynamik Schöll (eq math.1199.1248)

Occurrences on the following pages:

Inhomogene Maxwellgleichungen im Vakuum Eq: math.2182.2

Hash: 6b9e264783adafac5f570b5a5a1ea10a

TeX (original user input):

\begin{align}
& {{\partial }_{2}}{{B}^{3}}-{{\partial }_{3}}{{B}^{2}}={{\mu }_{0}}{{j}^{1}}+{{\varepsilon }_{0}}{{\mu }_{0}}\frac{\partial }{\partial t}{{E}^{1}} \\
& {{\mu }_{0}}c=\frac{1}{{{\varepsilon }_{0}}c} \\
& \Leftrightarrow {{\partial }_{2}}{{F}^{21}}-.{{\partial }_{3}}{{F}^{13}}=\frac{1}{{{\varepsilon }_{0}}c}{{j}^{1}}+.{{\partial }_{0}}{{F}^{10}} \\
& {{\partial }_{2}}{{F}^{21}}+{{\partial }_{3}}{{F}^{31}}+{{\partial }_{0}}{{F}^{01}}=\frac{1}{{{\varepsilon }_{0}}c}{{j}^{1}} \\
& \Leftrightarrow {{\partial }_{\nu }}{{F}^{\nu 1}}=\frac{1}{{{\varepsilon }_{0}}c}{{j}^{1}} \\
& wegen{{\partial }_{1}}{{F}^{11}}=0 \\
\end{align}

TeX (checked):

{\begin{aligned}&{{\partial }_{2}}{{B}^{3}}-{{\partial }_{3}}{{B}^{2}}={{\mu }_{0}}{{j}^{1}}+{{\varepsilon }_{0}}{{\mu }_{0}}{\frac {\partial }{\partial t}}{{E}^{1}}\\&{{\mu }_{0}}c={\frac {1}{{{\varepsilon }_{0}}c}}\\&\Leftrightarrow {{\partial }_{2}}{{F}^{21}}-.{{\partial }_{3}}{{F}^{13}}={\frac {1}{{{\varepsilon }_{0}}c}}{{j}^{1}}+.{{\partial }_{0}}{{F}^{10}}\\&{{\partial }_{2}}{{F}^{21}}+{{\partial }_{3}}{{F}^{31}}+{{\partial }_{0}}{{F}^{01}}={\frac {1}{{{\varepsilon }_{0}}c}}{{j}^{1}}\\&\Leftrightarrow {{\partial }_{\nu }}{{F}^{\nu 1}}={\frac {1}{{{\varepsilon }_{0}}c}}{{j}^{1}}\\&wegen{{\partial }_{1}}{{F}^{11}}=0\\\end{aligned}}

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MathML (4.536 KB / 502 B) :

\begin{aligned} \partial_{2} B^{3} - \partial_{3} B^{2} = μ_{0} j^{1} + ε_{0} μ_{0} \frac{\partial}{\partial t} E^{1} \\ μ_{0} c = \frac{1}{ε_{0} c} \\ \Leftrightarrow \partial_{2} F^{21} - . \partial_{3} F^{13} = \frac{1}{ε_{0} c} j^{1} + . \partial_{0} F^{10} \\ \partial_{2} F^{21} + \partial_{3} F^{31} + \partial_{0} F^{01} = \frac{1}{ε_{0} c} j^{1} \\ \Leftrightarrow \partial_{ν} F^{ν 1} = \frac{1}{ε_{0} c} j^{1} \\ w e g e n \partial_{1} F^{11} = 0 \end{aligned}

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Identifiers

$B$

$B$

$μ_{0}$

$j$

$ε_{0}$

$μ_{0}$

$t$

$E$

$μ_{0}$

$c$

$ε_{0}$

$c$

$F$

$F$

$ε_{0}$

$c$

$j$

$F$

$F$

$F$

$F$

$ε_{0}$

$c$

$j$

$ν$

$F$

$ν$

$ε_{0}$

$c$

$j$

$w$

$e$

$g$

$e$

$n$

$F$

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