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Display information for equation id:math.358.0 on revision:358

* Page found: Christoffelsymbole (eq math.358.0)

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Occurrences on the following pages:

Hash: 2be6b4eb02af48b8cf9cbb246bf78e2b

TeX (original user input):

\Gamma _{\nu \rho }^\mu  = \frac{1}{2}{g^{\mu \alpha }}\left( {{\partial _\rho }{g_{\alpha \nu }} + {\partial _\nu }{g_{\alpha \rho }} - {\partial _\alpha }{g_{\nu \rho }}} \right)

TeX (checked):

\Gamma _{\nu \rho }^{\mu }={\frac {1}{2}}{g^{\mu \alpha }}\left({{\partial _{\rho }}{g_{\alpha \nu }}+{\partial _{\nu }}{g_{\alpha \rho }}-{\partial _{\alpha }}{g_{\nu \rho }}}\right)

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (1.461 KB / 351 B) :

Γνρμ=12gμα(ρgαν+νgαραgνρ)
<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"><mi>&#x03BD;</mi><mi>&#x03C1;</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</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>&#x03BC;</mi><mi>&#x03B1;</mi></mrow></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03C1;</mi></mrow></msub><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi><mi>&#x03BD;</mi></mrow></mrow></msub><mo>+</mo><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msub><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi><mi>&#x03C1;</mi></mrow></mrow></msub><mo>&#x2212;</mo><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msub><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi><mi>&#x03C1;</mi></mrow></mrow></msub></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>

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Translation to Mathematica

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Calculated based on the variables occurring on the entire Christoffelsymbole page

Identifiers

  • Γ
  • ν
  • ρ
  • μ
  • g
  • μ
  • α
  • ρ
  • gαν
  • ν
  • gαρ
  • α
  • gνρ

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