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Display information for equation id:math.386.0 on revision:386
* Page found: Riemannscher Krümmungstensor (eq math.386.0)
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Hash: 331d7b9d4c680892617f5e1811b21cbb
TeX (original user input):
{R^{\color{OrangeRed}\alpha}} _{ \color{Red}\beta \mu \nu } = {\partial _{\color{Red}\mu} }\Gamma _{{\color{Red}\beta} \nu }^\alpha - {\partial _{\mu \nu }}\Gamma _{\beta \mu }^\alpha + \Gamma _{\sigma \mu }^\alpha \Gamma _{\beta \nu }^\sigma - \Gamma _{\sigma \nu }^\alpha \Gamma _{\beta \mu }^\sigma
TeX (checked):
{R^{\color {OrangeRed}\alpha }}_{\color {Red}\beta \mu \nu }={\partial _{\color {Red}\mu }}\Gamma _{{\color {Red}\beta }\nu }^{\alpha }-{\partial _{\mu \nu }}\Gamma _{\beta \mu }^{\alpha }+\Gamma _{\sigma \mu }^{\alpha }\Gamma _{\beta \nu }^{\sigma }-\Gamma _{\sigma \nu }^{\alpha }\Gamma _{\beta \mu }^{\sigma }
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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"><msub><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED135A"><mi>α</mi></mstyle></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>β</mi></mstyle><mstyle mathcolor="#ED1B23"><mi>μ</mi></mstyle><mstyle mathcolor="#ED1B23"><mi>ν</mi></mstyle></mrow></mrow></msub><mo>=</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>μ</mi></mstyle></mrow></mrow></msub><msubsup><mi mathvariant="normal">Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>β</mi></mstyle></mrow><mi>ν</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msubsup><mo>−</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mi>ν</mi></mrow></mrow></msub><msubsup><mi mathvariant="normal">Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>β</mi><mi>μ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msubsup><mo>+</mo><msubsup><mi mathvariant="normal">Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>σ</mi><mi>μ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msubsup><msubsup><mi mathvariant="normal">Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>β</mi><mi>ν</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>σ</mi></mrow></msubsup><mo>−</mo><msubsup><mi mathvariant="normal">Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>σ</mi><mi>ν</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msubsup><msubsup><mi mathvariant="normal">Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>β</mi><mi>μ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>σ</mi></mrow></msubsup></mstyle></mrow></math>
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