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Display information for equation id:math.1108.410 on revision:1108

* Page found: ART-Skript (eq math.1108.410)

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Hash: 286a94a0193fc6715e25593ca5124c92

TeX (original user input):

{{T}^{\alpha }}{{^{\beta }}_{;\beta }}=0\Rightarrow {{\left( \sqrt{-g}{{T}^{\alpha }}^{\beta } \right)}_{,\beta }}=-\sqrt{-g}{{T}^{\mu }}^{\nu }\Gamma _{\mu \nu }^{\alpha }\ne 0

TeX (checked):

{{T}^{\alpha }}{{^{\beta }}_{;\beta }}=0\Rightarrow {{\left({\sqrt {-g}}{{T}^{\alpha }}^{\beta }\right)}_{,\beta }}=-{\sqrt {-g}}{{T}^{\mu }}^{\nu }\Gamma _{\mu \nu }^{\alpha }\neq 0

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MathML (experimental; no images) rendering

MathML (1.453 KB / 350 B) :

Tαβ;β=0(gTαβ),β=gTμνΓμνα0
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msup></mstyle><msub><msup><mi/><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>;</mo><mi>&#x03B2;</mi></mrow></mrow></msub><mo>=</mo><mn>0</mn><mo>&#x21D2;</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mi>g</mi></mrow></msqrt></mrow><msup><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>,</mo><mi>&#x03B2;</mi></mrow></mrow></msub><mo>=</mo><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mi>g</mi></mrow></msqrt></mrow><msup><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msup><msubsup><mi mathvariant="normal">&#x0393;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi><mi>&#x03BD;</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msubsup><mo>&#x2260;</mo><mn>0</mn></mrow></math>

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Identifiers

  • T
  • α
  • β
  • β
  • g
  • T
  • α
  • β
  • β
  • g
  • T
  • μ
  • ν
  • Γ
  • μ
  • ν
  • α

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