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Display information for equation id:math.1199.1251 on revision:1199
* Page found: Elektrodynamik Schöll (eq math.1199.1251)
(force rerendering)Occurrences on the following pages:
Hash: 04c55b7a116542f40a6f881213d7efe3
TeX (original user input):
\begin{align}
& {{\varepsilon }^{\alpha \beta \mu \nu }}{{\partial }_{\beta }}{{F}_{\mu \nu }}={{\varepsilon }^{\alpha \beta \mu \nu }}{{\partial }_{\beta }}{{\partial }_{\mu }}{{\Phi }_{\nu }}-{{\varepsilon }^{\alpha \beta \mu \nu }}{{\partial }_{\beta }}{{\partial }_{\nu }}{{\Phi }_{\mu }} \\
& {{\varepsilon }^{\alpha \beta \mu \nu }}{{\partial }_{\beta }}{{\partial }_{\mu }}{{\Phi }_{\nu }}=0, \\
& da:{{\partial }_{\beta }}{{\partial }_{\mu }}{{\Phi }_{\nu }}\quad symmetrisch \\
& {{\varepsilon }^{\alpha \beta \mu \nu }}\quad antisymmetrisch \\
& {{\varepsilon }^{\alpha \beta \mu \nu }}{{\partial }_{\beta }}{{\partial }_{\nu }}{{\Phi }_{\mu }}=0 \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\varepsilon }^{\alpha \beta \mu \nu }}{{\partial }_{\beta }}{{F}_{\mu \nu }}={{\varepsilon }^{\alpha \beta \mu \nu }}{{\partial }_{\beta }}{{\partial }_{\mu }}{{\Phi }_{\nu }}-{{\varepsilon }^{\alpha \beta \mu \nu }}{{\partial }_{\beta }}{{\partial }_{\nu }}{{\Phi }_{\mu }}\\&{{\varepsilon }^{\alpha \beta \mu \nu }}{{\partial }_{\beta }}{{\partial }_{\mu }}{{\Phi }_{\nu }}=0,\\&da:{{\partial }_{\beta }}{{\partial }_{\mu }}{{\Phi }_{\nu }}\quad symmetrisch\\&{{\varepsilon }^{\alpha \beta \mu \nu }}\quad antisymmetrisch\\&{{\varepsilon }^{\alpha \beta \mu \nu }}{{\partial }_{\beta }}{{\partial }_{\nu }}{{\Phi }_{\mu }}=0\\\end{aligned}}
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<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><msup><mi>ε</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>β</mi><mi>μ</mi><mi>ν</mi></mrow></mrow></msup><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msub><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mi>ν</mi></mrow></mrow></msub><mo>=</mo><msup><mi>ε</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>β</mi><mi>μ</mi><mi>ν</mi></mrow></mrow></msup><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msub><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub><msub><mi mathvariant="normal">Φ</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mo>−</mo><msup><mi>ε</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>β</mi><mi>μ</mi><mi>ν</mi></mrow></mrow></msup><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msub><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><msub><mi mathvariant="normal">Φ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><msup><mi>ε</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>β</mi><mi>μ</mi><mi>ν</mi></mrow></mrow></msup><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msub><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub><msub><mi mathvariant="normal">Φ</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mo>=</mo><mn>0</mn><mo>,</mo></mtd></mtr><mtr><mtd></mtd><mtd><mi>d</mi><mi>a</mi><mi>:</mi><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msub><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub><msub><mi mathvariant="normal">Φ</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mspace width="1em"></mspace><mi>s</mi><mi>y</mi><mi>m</mi><mi>m</mi><mi>e</mi><mi>t</mi><mi>r</mi><mi>i</mi><mi>s</mi><mi>c</mi><mi>h</mi></mtd></mtr><mtr><mtd></mtd><mtd><msup><mi>ε</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>β</mi><mi>μ</mi><mi>ν</mi></mrow></mrow></msup><mspace width="1em"></mspace><mi>a</mi><mi>n</mi><mi>t</mi><mi>i</mi><mi>s</mi><mi>y</mi><mi>m</mi><mi>m</mi><mi>e</mi><mi>t</mi><mi>r</mi><mi>i</mi><mi>s</mi><mi>c</mi><mi>h</mi></mtd></mtr><mtr><mtd></mtd><mtd><msup><mi>ε</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>β</mi><mi>μ</mi><mi>ν</mi></mrow></mrow></msup><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msub><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><msub><mi mathvariant="normal">Φ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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