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Display information for equation id:math.360.0 on revision:360

* Page found: Christoffelsymbole (eq math.360.0)

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Hash: 719a0f91439bfe2d4ebe1910ea6deff4

TeX (original user input):

\Gamma _{{\color{Red}\nu} {\color{Violet}\rho } }^{{\color{Orange}\mu}}
=
\frac{1}{2}
{{g}^{{\color{Orange}\mu}\alpha }}\left(
{{g}_{\alpha {\color{Violet}\rho } ,{\color{Red}\nu} }}
+
{{g}_{\alpha {\color{Red}\nu} ,{\color{Violet}\rho } }}
-
{{g}_{{\color{Red}\nu} {\color{Violet}\rho } ,\alpha }} \right)

TeX (checked):

\Gamma _{{\color {Red}\nu }{\color {Violet}\rho }}^{\color {Orange}\mu }={\frac {1}{2}}{{g}^{{\color {Orange}\mu }\alpha }}\left({{g}_{\alpha {\color {Violet}\rho },{\color {Red}\nu }}}+{{g}_{\alpha {\color {Red}\nu },{\color {Violet}\rho }}}-{{g}_{{\color {Red}\nu }{\color {Violet}\rho },\alpha }}\right)

LaTeXML (experimentell; verwendet MathML) rendering

MathML (0 B / 8 B) :

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SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (1.98 KB / 382 B) :

Γνρμ=12gμα(gαρ,ν+gαν,ρgνρ,α)
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi mathvariant="normal">&#x0393;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>&#x03BD;</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>&#x03C1;</mi></mstyle></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>&#x03BC;</mi></mstyle></mrow></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"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>&#x03BC;</mi></mstyle></mrow><mi>&#x03B1;</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>&#x03B1;</mi><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>&#x03C1;</mi></mstyle></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>&#x03BD;</mi></mstyle></mrow></mrow></mrow></msub><mo>+</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>&#x03BD;</mi></mstyle></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>&#x03C1;</mi></mstyle></mrow></mrow></mrow></msub><mo>&#x2212;</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>&#x03BD;</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>&#x03C1;</mi></mstyle></mrow><mo>,</mo><mi>&#x03B1;</mi></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Christoffelsymbole page

Identifiers

  • Γ
  • ν
  • ρ
  • μ
  • g
  • μ
  • α
  • g
  • α
  • ρ
  • ν
  • g
  • α
  • ν
  • ρ
  • g
  • ν
  • ρ
  • α

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