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Display information for equation id:math.363.2 on revision:363
* Page found: Christoffelsymbole (eq math.363.2)
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Hash: 03bf098fd4fa13cf9cab3fbef973febe
TeX (original user input):
\Gamma{'}_{\mu \nu }^{\alpha }=\frac{\partial x{{'}^{\alpha }}}{\partial {{x}^{\beta }}}\frac{\partial {{x}^{\rho }}}{\partial x{{'}^{\mu }}}\frac{\partial {{x}^{\sigma }}}{\partial x{{'}^{\nu }}}\Gamma _{\rho \sigma }^{\beta }+\frac{\color{Brown}\partial x{{'}^{\alpha }}}{\partial {{x}^{\beta }}}\frac{{{\partial }^{2}}{{x}^{\beta }}}{\color{Brown}\partial x{{'}^{\mu }}\partial x{{'}^{\nu }}}
TeX (checked):
\Gamma {'}_{\mu \nu }^{\alpha }={\frac {\partial x{{'}^{\alpha }}}{\partial {{x}^{\beta }}}}{\frac {\partial {{x}^{\rho }}}{\partial x{{'}^{\mu }}}}{\frac {\partial {{x}^{\sigma }}}{\partial x{{'}^{\nu }}}}\Gamma _{\rho \sigma }^{\beta }+{\frac {\color {Brown}\partial x{{'}^{\alpha }}}{\partial {{x}^{\beta }}}}{\frac {{{\partial }^{2}}{{x}^{\beta }}}{\color {Brown}\partial x{{'}^{\mu }}\partial x{{'}^{\nu }}}}
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MathML (3.053 KB / 380 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 mathvariant="normal">Γ</mi><msubsup><mi>'</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mi>ν</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msubsup><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msup></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>ρ</mi></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>σ</mi></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup></mrow></mrow></mfrac></mrow><msubsup><mi mathvariant="normal">Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>ρ</mi><mi>σ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msubsup><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#792500"><mi>∂</mi></mstyle><mstyle mathcolor="#792500"><mi>x</mi></mstyle><mstyle mathcolor="#792500"><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msup></mstyle></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msup></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#792500"><mi>∂</mi></mstyle><mstyle mathcolor="#792500"><mi>x</mi></mstyle><mstyle mathcolor="#792500"><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup></mstyle><mstyle mathcolor="#792500"><mi>∂</mi></mstyle><mstyle mathcolor="#792500"><mi>x</mi></mstyle><mstyle mathcolor="#792500"><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup></mstyle></mrow></mrow></mfrac></mrow></mstyle></mrow></math>
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