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Display information for equation id:math.1108.181 on revision:1108
* Page found: ART-Skript (eq math.1108.181)
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TeX (original user input):
\Gamma _{\mu \nu }^{\alpha }:=\frac{\partial {{x}^{\alpha }}}{\partial {{\xi }^{\rho }}}\frac{{{\partial }^{2}}{{\xi }^{\rho }}}{\partial {{x}^{\mu }}\partial {{x}^{\nu }}}=\frac{1}{2}{{g}^{\alpha \sigma }}\left( {{g}_{\mu \sigma ,\nu }}+{{g}_{\nu \sigma ,\mu }}-{{g}_{\mu \nu ,\sigma }} \right)
TeX (checked):
\Gamma _{\mu \nu }^{\alpha }:={\frac {\partial {{x}^{\alpha }}}{\partial {{\xi }^{\rho }}}}{\frac {{{\partial }^{2}}{{\xi }^{\rho }}}{\partial {{x}^{\mu }}\partial {{x}^{\nu }}}}={\frac {1}{2}}{{g}^{\alpha \sigma }}\left({{g}_{\mu \sigma ,\nu }}+{{g}_{\nu \sigma ,\mu }}-{{g}_{\mu \nu ,\sigma }}\right)
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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"><msubsup><mi mathvariant="normal">Γ</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><mi>:</mi><mo>=</mo><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>α</mi></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>ξ</mi><mrow data-mjx-texclass="ORD"><mi>ρ</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>ξ</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><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><mi>∂</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup></mrow></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><msup><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>σ</mi></mrow></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mi>σ</mi><mo>,</mo><mi>ν</mi></mrow></mrow></msub><mo>+</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>ν</mi><mi>σ</mi><mo>,</mo><mi>μ</mi></mrow></mrow></msub><mo>−</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mi>ν</mi><mo>,</mo><mi>σ</mi></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>
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