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Display information for equation id:math.387.0 on revision:387
* Page found: Riemannscher Krümmungstensor (eq math.387.0)
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{R^{\color{Violet}\alpha}} _{ \color{Red}{\color{WildStrawberry}\beta} {\color{Orange}\mu} {\color{Red}{\color{Red}{\color{Red}\nu}}} } = {\partial _{\color{Red}{\color{Orange}\mu}} }\Gamma _{{\color{Red}{\color{WildStrawberry}\beta}} {\color{Red}{\color{Red}{\color{Red}\nu}}} }^{\color{Violet}\alpha} - {\partial _{{\color{Orange}\mu} {\color{Red}{\color{Red}{\color{Red}\nu}}} }}\Gamma _{{\color{WildStrawberry}\beta} {\color{Orange}\mu} }^{\color{Violet}\alpha} + \Gamma _{\sigma {\color{Orange}\mu} }^{\color{Violet}\alpha} \Gamma _{{\color{WildStrawberry}\beta} {\color{Red}{\color{Red}\nu}} }^\sigma - \Gamma _{\sigma {\color{Red}{\color{Red}{\color{Red}\nu}}} }^{\color{Violet}\alpha} \Gamma _{{\color{WildStrawberry}\beta} {\color{Orange}\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="#58429B"><mi>α</mi></mstyle></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#EE2967"><mi>β</mi></mstyle></mrow></mstyle><mstyle mathcolor="#ED1B23"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>μ</mi></mstyle></mrow></mstyle><mstyle mathcolor="#ED1B23"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>ν</mi></mstyle></mrow></mstyle></mrow></mstyle></mrow></mstyle></mrow></mrow></msub><mo>=</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>μ</mi></mstyle></mrow></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"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#EE2967"><mi>β</mi></mstyle></mrow></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>ν</mi></mstyle></mrow></mstyle></mrow></mstyle></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>α</mi></mstyle></mrow></mrow></msubsup><mo>−</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>μ</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>ν</mi></mstyle></mrow></mstyle></mrow></mstyle></mrow></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="#EE2967"><mi>β</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>μ</mi></mstyle></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>α</mi></mstyle></mrow></mrow></msubsup><mo>+</mo><msubsup><mi mathvariant="normal">Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>σ</mi><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>μ</mi></mstyle></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>α</mi></mstyle></mrow></mrow></msubsup><msubsup><mi mathvariant="normal">Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#EE2967"><mi>β</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>ν</mi></mstyle></mrow></mstyle></mrow></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><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>ν</mi></mstyle></mrow></mstyle></mrow></mstyle></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>α</mi></mstyle></mrow></mrow></msubsup><msubsup><mi mathvariant="normal">Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#EE2967"><mi>β</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>μ</mi></mstyle></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>σ</mi></mrow></msubsup></mstyle></mrow></math>
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