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Display information for equation id:math.1199.1271 on revision:1199
* Page found: Elektrodynamik Schöll (eq math.1199.1271)
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Hash: 796fc0dbe3290b05d5831009a129408f
TeX (original user input):
\begin{align}
& d{{\phi }^{\mu }}={{\partial }^{\nu }}{{\phi }^{\mu }}d{{x}_{\nu }}={{\partial }^{\nu }}{{\phi }^{\mu }}{{u}_{\nu }}ds \\
& \delta {{\phi }^{\mu }}={{\partial }^{\nu }}{{\phi }^{\mu }}\delta {{x}_{\nu }} \\
& \delta {{\phi }^{\mu }}d{{x}_{\mu }}={{\partial }^{\nu }}{{\phi }^{\mu }}\delta {{x}_{\nu }}d{{x}_{\mu }}=i<->k={{\partial }^{\mu }}{{\phi }^{\nu }}\delta {{x}_{\mu }}d{{x}_{\nu }}={{\partial }^{\mu }}{{\phi }^{\nu }}{{u}_{\nu }}\delta {{x}_{\mu }}ds \\
\end{align}
TeX (checked):
{\begin{aligned}&d{{\phi }^{\mu }}={{\partial }^{\nu }}{{\phi }^{\mu }}d{{x}_{\nu }}={{\partial }^{\nu }}{{\phi }^{\mu }}{{u}_{\nu }}ds\\&\delta {{\phi }^{\mu }}={{\partial }^{\nu }}{{\phi }^{\mu }}\delta {{x}_{\nu }}\\&\delta {{\phi }^{\mu }}d{{x}_{\mu }}={{\partial }^{\nu }}{{\phi }^{\mu }}\delta {{x}_{\nu }}d{{x}_{\mu }}=i<->k={{\partial }^{\mu }}{{\phi }^{\nu }}\delta {{x}_{\mu }}d{{x}_{\nu }}={{\partial }^{\mu }}{{\phi }^{\nu }}{{u}_{\nu }}\delta {{x}_{\mu }}ds\\\end{aligned}}
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MathML (2.811 KB / 386 B) :
<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><mi>d</mi><msup><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><mo>=</mo><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup><msup><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><mi>d</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mo>=</mo><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup><msup><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mi>d</mi><mi>s</mi></mtd></mtr><mtr><mtd></mtd><mtd><mi>δ</mi><msup><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><mo>=</mo><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup><msup><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><mi>δ</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mi>δ</mi><msup><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><mi>d</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub><mo>=</mo><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup><msup><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><mi>δ</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mi>d</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub><mo>=</mo><mi>i</mi><mo><</mo><mo>−</mo><mo>></mo><mi>k</mi><mo>=</mo><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><msup><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup><mi>δ</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub><mi>d</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mo>=</mo><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><msup><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mi>δ</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub><mi>d</mi><mi>s</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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