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Display information for equation id:math.403.4 on revision:403

* Page found: Riemannscher Krümmungstensor (eq math.403.4)

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Occurrences on the following pages:

Hash: 607b373e0e816d55e615e4d9e0da3c1f

TeX (original user input):

{R^{\color{Violet}\alpha}}_{< {\color{WildStrawberry}\beta} {\color{Orange}\mu} {\color{Red}\nu}>}
=
{R^{\color{Violet}\alpha}}_{ {\color{WildStrawberry}\beta} {\color{Orange}\mu} {\color{Red}\nu}}
+
{R^{\color{Violet}\alpha}}_{  {\color{Red}\nu}{\color{WildStrawberry}\beta} {\color{Orange}\mu}}
+
{R^{\color{Violet}\alpha}}_{ {\color{Red}\nu}{\color{WildStrawberry}\beta} {\color{Orange}\mu} }
=0

TeX (checked):

{R^{\color {Violet}\alpha }}_{<{\color {WildStrawberry}\beta }{\color {Orange}\mu }{\color {Red}\nu }>}={R^{\color {Violet}\alpha }}_{{\color {WildStrawberry}\beta }{\color {Orange}\mu }{\color {Red}\nu }}+{R^{\color {Violet}\alpha }}_{{\color {Red}\nu }{\color {WildStrawberry}\beta }{\color {Orange}\mu }}+{R^{\color {Violet}\alpha }}_{{\color {Red}\nu }{\color {WildStrawberry}\beta }{\color {Orange}\mu }}=0

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 (2.237 KB / 294 B) :

Rα<βμν>=Rαβμν+Rανβμ+Rανβμ=0
<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>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>&#x03B1;</mi></mstyle></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&lt;</mo><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#EE2967"><mi>&#x03B2;</mi></mstyle></mrow><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><mo>&gt;</mo></mrow></mrow></msub><mo>=</mo><msub><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>&#x03B1;</mi></mstyle></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#EE2967"><mi>&#x03B2;</mi></mstyle></mrow><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></msub><mo>+</mo><msub><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>&#x03B1;</mi></mstyle></mrow></mrow></msup><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="#EE2967"><mi>&#x03B2;</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>&#x03BC;</mi></mstyle></mrow></mrow></mrow></msub><mo>+</mo><msub><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>&#x03B1;</mi></mstyle></mrow></mrow></msup><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="#EE2967"><mi>&#x03B2;</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>&#x03BC;</mi></mstyle></mrow></mrow></mrow></msub><mo>=</mo><mn>0</mn></mstyle></mrow></math>

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

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Calculated based on the variables occurring on the entire Riemannscher Krümmungstensor page

Identifiers

  • R
  • α
  • β
  • μ
  • ν
  • R
  • α
  • β
  • μ
  • ν
  • R
  • α
  • ν
  • β
  • μ
  • R
  • α
  • ν
  • β
  • μ

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