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Display information for equation id:math.2174.22 on revision:2174
* Page found: Transformationsverhalten der Ströme und Felder (eq math.2174.22)
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Hash: 267227ce81b7d690f00798151ec2230f
TeX (original user input):
\begin{align}
& \bar{E}=-grad\phi -\frac{\partial }{\partial t}\bar{A} \\
& \Rightarrow {{E}^{\alpha }}=-{{\partial }_{\alpha }}\phi -\frac{1}{c}\frac{\partial }{\partial t}c{{A}^{\alpha }}=-{{\partial }_{\alpha }}{{\Phi }^{0}}-{{\partial }_{0}}{{\Phi }^{\alpha }}={{\partial }^{\alpha }}{{\Phi }^{0}}-{{\partial }^{0}}{{\Phi }^{\alpha }} \\
\end{align}
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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><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mo>−</mo><mi>g</mi><mi>r</mi><mi>a</mi><mi>d</mi><mi>ϕ</mi><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>A</mi><mo>¯</mo></mover></mrow></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msup><mo>=</mo><mo>−</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><mi>ϕ</mi><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mi>c</mi><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msup><mo>=</mo><mo>−</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><msup><mi mathvariant="normal">Φ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo>−</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msup><mi mathvariant="normal">Φ</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msup><mo>=</mo><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msup><msup><mi mathvariant="normal">Φ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo>−</mo><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><msup><mi mathvariant="normal">Φ</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msup></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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