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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}
TeX (checked):
{\begin{aligned}&{\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{aligned}}
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MathML (2.236 KB / 413 B) :
<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"><mover><mi>E</mi><mo>¯</mo></mover><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>g</mi><mi>r</mi><mi>a</mi><mi>d</mi><mi>ϕ</mi><mo stretchy="false">−</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><mover><mi>A</mi><mo>¯</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msup><mo stretchy="false">=</mo><mo stretchy="false">−</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><mi>ϕ</mi><mo stretchy="false">−</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 stretchy="false">=</mo><mo stretchy="false">−</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><msup><mi>Φ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo stretchy="false">−</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msup><mi>Φ</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msup><mo stretchy="false">=</mo><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msup><msup><mi>Φ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo stretchy="false">−</mo><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><msup><mi>Φ</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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