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Display information for equation id:math.1199.1250 on revision:1199

* Page found: Elektrodynamik Schöll (eq math.1199.1250)

Occurrences on the following pages:

Inhomogene Maxwellgleichungen im Vakuum Eq: math.2182.4

Hash: d790f6d0bedbe9737bb585defcdc179c

TeX (original user input):

\left\{ {{F}_{\mu \nu }} \right\}=\left\{ {{\partial }_{\mu }}{{\Phi }_{\nu }}-{{\partial }_{\nu }}{{\Phi }_{\mu }} \right\}=\left( \begin{matrix}
0 & \frac{1}{c}{{E}_{x}} & \frac{1}{c}{{E}_{y}} & \frac{1}{c}{{E}_{z}}  \\
-\frac{1}{c}{{E}_{x}} & 0 & -{{B}_{z}} & {{B}_{y}}  \\
-\frac{1}{c}{{E}_{y}} & {{B}_{z}} & 0 & -{{B}_{x}}  \\
-\frac{1}{c}{{E}_{z}} & -{{B}_{y}} & {{B}_{x}} & 0  \\
\end{matrix} \right)

TeX (checked):

\left\{{{F}_{\mu \nu }}\right\}=\left\{{{\partial }_{\mu }}{{\Phi }_{\nu }}-{{\partial }_{\nu }}{{\Phi }_{\mu }}\right\}=\left({\begin{matrix}0&{\frac {1}{c}}{{E}_{x}}&{\frac {1}{c}}{{E}_{y}}&{\frac {1}{c}}{{E}_{z}}\\-{\frac {1}{c}}{{E}_{x}}&0&-{{B}_{z}}&{{B}_{y}}\\-{\frac {1}{c}}{{E}_{y}}&{{B}_{z}}&0&-{{B}_{x}}\\-{\frac {1}{c}}{{E}_{z}}&-{{B}_{y}}&{{B}_{x}}&0\\\end{matrix}}\right)

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (3.162 KB / 453 B) :

{F_{μ ν}} = {\partial_{μ} Φ_{ν} - \partial_{ν} Φ_{μ}} = (\begin{matrix} 0 & \frac{1}{c} E_{x} & \frac{1}{c} E_{y} & \frac{1}{c} E_{z} \\ - \frac{1}{c} E_{x} & 0 & - B_{z} & B_{y} \\ - \frac{1}{c} E_{y} & B_{z} & 0 & - B_{x} \\ - \frac{1}{c} E_{z} & - B_{y} & B_{x} & 0 \end{matrix})

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Translations to Computer Algebra Systems

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In Mathematica:

Identifiers

$F_{μ ν}$

$μ$

$Φ_{ν}$

$ν$

$Φ_{μ}$

$c$

$E_{x}$

$c$

$E_{y}$

$c$

$E_{z}$

$c$

$E_{x}$

$B_{z}$

$B_{y}$

$c$

$E_{y}$

$B_{z}$

$B_{x}$

$c$

$E_{z}$

$B_{y}$

$B_{x}$

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