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Display information for equation id:math.351.0 on revision:351

* Page found: Kovariante Ableitung (eq math.351.0)

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Occurrences on the following pages:

Hash: 72b715fe214efafed5b896236a4d2978

TeX (original user input):

{A^{\color{Violet}\lambda }}_{{\color{Orange}\mu};{\color{Red}\nu} }
 =
\frac{{\partial {A^{\color{Violet}\lambda }}_{\color{Orange}\mu}}}
{{\partial {x^{\color{Red}\nu} }}}
 +
\Gamma _{\rho {\color{Red}\nu} }^{\color{Violet}\lambda }
{A^\rho }_{\color{Orange}\mu}
 -
\Gamma _{{\color{Orange}\mu}{\color{Red}\nu} }^\rho
 {A^{\color{Violet}\lambda }}_\rho

TeX (checked):

{A^{\color {Violet}\lambda }}_{{\color {Orange}\mu };{\color {Red}\nu }}={\frac {\partial {A^{\color {Violet}\lambda }}_{\color {Orange}\mu }}{\partial {x^{\color {Red}\nu }}}}+\Gamma _{\rho {\color {Red}\nu }}^{\color {Violet}\lambda }{A^{\rho }}_{\color {Orange}\mu }-\Gamma _{{\color {Orange}\mu }{\color {Red}\nu }}^{\rho }{A^{\color {Violet}\lambda }}_{\rho }

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 (2.427 KB / 361 B) :

Aλμ;ν=Aλμxν+ΓρνλAρμΓμνρAλρ
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>&#x03BB;</mi></mstyle></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>&#x03BC;</mi></mstyle></mrow><mo>;</mo><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>&#x03BD;</mi></mstyle></mrow></mrow></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><msub><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>&#x03BB;</mi></mstyle></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>&#x03BC;</mi></mstyle></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>&#x03BD;</mi></mstyle></mrow></mrow></msup></mrow></mrow></mfrac></mrow><mo>+</mo><msubsup><mi mathvariant="normal">&#x0393;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03C1;</mi><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>&#x03BD;</mi></mstyle></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>&#x03BB;</mi></mstyle></mrow></mrow></msubsup><msub><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mi>&#x03C1;</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>&#x03BC;</mi></mstyle></mrow></mrow></msub><mo>&#x2212;</mo><msubsup><mi mathvariant="normal">&#x0393;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>&#x03BC;</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>&#x03BD;</mi></mstyle></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>&#x03C1;</mi></mrow></msubsup><msub><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>&#x03BB;</mi></mstyle></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mi>&#x03C1;</mi></mrow></msub></mstyle></mrow></math>

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

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Calculated based on the variables occurring on the entire Kovariante Ableitung page

Identifiers

  • A
  • λ
  • μ
  • ν
  • A
  • λ
  • μ
  • x
  • ν
  • Γ
  • ρ
  • ν
  • λ
  • A
  • ρ
  • μ
  • Γ
  • μ
  • ν
  • ρ
  • A
  • λ
  • ρ

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