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Display information for equation id:math.1110.228 on revision:1110

* Page found: ART-Skript (eq math.1110.228)

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Hash: a2024c04f6cbbadbbfca0fbaebdba665

TeX (original user input):

\to \Gamma _{00}^{\alpha }=\frac{1}{2}{{g}^{\alpha \sigma }}\left( {{g}_{\sigma 0,0}}+{{g}_{0\sigma ,0}}-{{g}_{00,\sigma }} \right)=-\frac{1}{2}{{g}^{\alpha i}}{{g}_{00,i}}

TeX (checked):

\to \Gamma _{00}^{\alpha }={\frac {1}{2}}{{g}^{\alpha \sigma }}\left({{g}_{\sigma 0,0}}+{{g}_{0\sigma ,0}}-{{g}_{00,\sigma }}\right)=-{\frac {1}{2}}{{g}^{\alpha i}}{{g}_{00,i}}

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MathML (1.658 KB / 370 B) :

Γ00α=12gασ(gσ0,0+g0σ,0g00,σ)=12gαig00,i
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo accent="false">&#x2192;</mo><msubsup><mi mathvariant="normal">&#x0393;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msubsup><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>&#x03B1;</mi><mi>&#x03C3;</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>&#x03C3;</mi><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mrow></msub><mo>+</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mi>&#x03C3;</mi><mo>,</mo><mn>0</mn></mrow></mrow></msub><mo>&#x2212;</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mn>0</mn><mo>,</mo><mi>&#x03C3;</mi></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mo>&#x2212;</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>&#x03B1;</mi><mi>i</mi></mrow></mrow></msup><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mn>0</mn><mo>,</mo><mi>i</mi></mrow></mrow></msub></mstyle></mrow></math>

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Identifiers

  • Γ
  • α
  • g
  • α
  • σ
  • gσ0,0
  • g0σ,0
  • g00,σ
  • g
  • α
  • i
  • g00,i

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