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Display information for equation id:math.1107.393 on revision:1107
* Page found: ART-Skript (eq math.1107.393)
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Hash: 7211c8dc148175b5228f75e0de7335a4
TeX (original user input):
\int\limits_{{{V}_{4}}}{\frac{1}{\sqrt{-g}}{{\left[ \sqrt{-g}\left( -{{g}^{\mu }}^{\nu }\Gamma _{\mu \nu }^{\alpha }+{{g}^{\mu }}^{\alpha }\Gamma _{\mu \nu }^{\nu } \right) \right]}_{,\alpha }}\sqrt{-g}{{d}^{4}}x}
TeX (checked):
\int \limits _{{V}_{4}}{{\frac {1}{\sqrt {-g}}}{{\left[{\sqrt {-g}}\left(-{{g}^{\mu }}^{\nu }\Gamma _{\mu \nu }^{\alpha }+{{g}^{\mu }}^{\alpha }\Gamma _{\mu \nu }^{\nu }\right)\right]}_{,\alpha }}{\sqrt {-g}}{{d}^{4}}x}
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MathML (1.98 KB / 415 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><munder><mo form="prefix" texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mrow></munder><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mo>−</mo><mi>g</mi></mrow></msqrt></mrow></mrow></mfrac></mrow><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mo>−</mo><mi>g</mi></mrow></msqrt></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo>−</mo><msup><msup><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup><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><mo>+</mo><msup><msup><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msup><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>ν</mi></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">]</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>,</mo><mi>α</mi></mrow></mrow></msub><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mo>−</mo><mi>g</mi></mrow></msqrt></mrow><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup><mi>x</mi></mrow></mstyle></mrow></math>
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