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Display information for equation id:math.1108.216 on revision:1108

* Page found: ART-Skript (eq math.1108.216)

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Occurrences on the following pages:

Hash: a68ea90a0e7fb4b8368cf7bec7302934

TeX (original user input):

\begin{align}
  & {{R}_{\alpha \beta \mu \nu }}=-{{R}_{\beta \alpha \mu \nu }}=-{{R}_{\alpha \beta \nu \mu }}={{R}_{\mu \nu \alpha \beta }} \\ 
 & {{R}^{\alpha }}_{\beta \mu \nu }+{{R}^{\alpha }}_{\mu \nu \beta }+{{R}^{\alpha }}_{\nu \beta \mu }=0 \\ 
\end{align}

TeX (checked):

{\begin{aligned}&{{R}_{\alpha \beta \mu \nu }}=-{{R}_{\beta \alpha \mu \nu }}=-{{R}_{\alpha \beta \nu \mu }}={{R}_{\mu \nu \alpha \beta }}\\&{{R}^{\alpha }}_{\beta \mu \nu }+{{R}^{\alpha }}_{\mu \nu \beta }+{{R}^{\alpha }}_{\nu \beta \mu }=0\\\end{aligned}}

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 (1.854 KB / 346 B) :

Rαβμν=Rβαμν=Rαβνμ=RμναβRαβμν+Rαμνβ+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"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi><mi>&#x03B2;</mi><mi>&#x03BC;</mi><mi>&#x03BD;</mi></mrow></mrow></msub><mo>=</mo><mo>&#x2212;</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi><mi>&#x03B1;</mi><mi>&#x03BC;</mi><mi>&#x03BD;</mi></mrow></mrow></msub><mo>=</mo><mo>&#x2212;</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi><mi>&#x03B2;</mi><mi>&#x03BD;</mi><mi>&#x03BC;</mi></mrow></mrow></msub><mo>=</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi><mi>&#x03BD;</mi><mi>&#x03B1;</mi><mi>&#x03B2;</mi></mrow></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><msub><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi><mi>&#x03BC;</mi><mi>&#x03BD;</mi></mrow></mrow></msub><mo>+</mo><msub><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi><mi>&#x03BD;</mi><mi>&#x03B2;</mi></mrow></mrow></msub><mo>+</mo><msub><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi><mi>&#x03B2;</mi><mi>&#x03BC;</mi></mrow></mrow></msub><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Translation to Maple

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Identifiers

  • Rαβμν
  • Rβαμν
  • Rαβνμ
  • Rμναβ
  • R
  • α
  • β
  • μ
  • ν
  • R
  • α
  • μ
  • ν
  • β
  • R
  • α
  • ν
  • β
  • μ

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