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Display information for equation id:math.385.0 on revision:385
* Page found: Riemannscher Krümmungstensor (eq math.385.0)
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Hash: 855c047b4be35fafb783881b06c745b6
TeX (original user input):
R_{\beta \mu \nu }^\alpha = {\partial _\mu }\Gamma _{\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_{\beta \mu \nu }^{\alpha }={\partial _{\mu }}\Gamma _{\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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MathML (1.688 KB / 299 B) :
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>β</mi><mi>μ</mi><mi>ν</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msubsup><mo stretchy="false">=</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub><msubsup><mi>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>α</mi></mrow></msubsup><mo stretchy="false">−</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>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 stretchy="false">+</mo><msubsup><mi>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>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 stretchy="false">−</mo><msubsup><mi>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>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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