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Display information for equation id:math.2182.10 on revision:2182

* Page found: Inhomogene Maxwellgleichungen im Vakuum (eq math.2182.10)

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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 }}=0 \\
& {{\partial }_{\beta }}{{F}^{\beta \nu }}={{\partial }_{\beta }}{{\partial }^{\beta }}{{\Phi }^{\nu }}=\frac{1}{{{\varepsilon }_{0}}c}{{j}^{\nu }} \\
\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 }}=0\\&{{\partial }_{\beta }}{{F}^{\beta \nu }}={{\partial }_{\beta }}{{\partial }^{\beta }}{{\Phi }^{\nu }}={\frac {1}{{{\varepsilon }_{0}}c}}{{j}^{\nu }}\\\end{aligned}}

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εαβμνβFμν=εαβμνβμΦνεαβμνβνΦμ=0βFβν=ββΦν=1ε0cjν
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><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 stretchy="false">=</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>Φ</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mo stretchy="false"></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>Φ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub><mo stretchy="false">=</mo><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi></mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msub><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>β</mi><mi>ν</mi></mrow></mrow></msup><mo stretchy="false">=</mo><msub><mi></mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msub><msup><mi></mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msup><msup><mi>Φ</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mi>c</mi></mrow></mrow></mfrac></mrow><msup><mi>j</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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  • α
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  • ν
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  • ν
  • β
  • μ
  • Φν
  • ε
  • α
  • β
  • μ
  • ν
  • β
  • ν
  • Φμ
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  • F
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