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Display information for equation id:math.1110.174 on revision:1110
* Page found: ART-Skript (eq math.1110.174)
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Hash: 4c1a9d70565bcda41cd35d369c48fd04
TeX (original user input):
\partial {{'}_{\nu }}A{{'}^{\mu }}={{\partial }_{\rho }}A{{'}^{\mu }}\partial {{'}_{\nu }}{{x}^{\rho }}={{\partial }_{\rho }}\left( {{\partial }_{\sigma }}x{{'}^{\mu }}{{A}^{\sigma }} \right)\partial {{'}_{\nu }}{{x}^{\rho }}=\partial _{\rho \sigma }^{2}x{{'}^{\mu }}\partial {{'}_{\nu }}{{A}^{\sigma }}+{{\partial }_{\sigma }}x{{'}^{\mu }}\partial {{'}_{\nu }}{{x}^{\rho }}{{\partial }_{\rho }}{{A}^{\sigma }}
TeX (checked):
\partial {{'}_{\nu }}A{{'}^{\mu }}={{\partial }_{\rho }}A{{'}^{\mu }}\partial {{'}_{\nu }}{{x}^{\rho }}={{\partial }_{\rho }}\left({{\partial }_{\sigma }}x{{'}^{\mu }}{{A}^{\sigma }}\right)\partial {{'}_{\nu }}{{x}^{\rho }}=\partial _{\rho \sigma }^{2}x{{'}^{\mu }}\partial {{'}_{\nu }}{{A}^{\sigma }}+{{\partial }_{\sigma }}x{{'}^{\mu }}\partial {{'}_{\nu }}{{x}^{\rho }}{{\partial }_{\rho }}{{A}^{\sigma }}
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MathML (2.303 KB / 333 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>∂</mi><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mi>A</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><mo>=</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>ρ</mi></mrow></msub><mi>A</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><mi>∂</mi><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>ρ</mi></mrow></msup><mo>=</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>ρ</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>σ</mi></mrow></msub><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mi>σ</mi></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>∂</mi><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>ρ</mi></mrow></msup><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mi>∂</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>ρ</mi><mi>σ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></munderover></mstyle><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><mi>∂</mi><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mi>σ</mi></mrow></msup><mo>+</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>σ</mi></mrow></msub><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><mi>∂</mi><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>ρ</mi></mrow></msup><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>ρ</mi></mrow></msub><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mi>σ</mi></mrow></msup></mstyle></mrow></math>
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