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Display information for equation id:math.1108.173 on revision:1108

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TeX (original user input): 

S{{'}_{\mu }}_{\nu }=\partial {{'}_{\mu }}{{x}^{\alpha }}\partial {{'}_{\nu }}{{x}^{\beta }}{{S}_{\alpha }}_{\beta }=\partial {{'}_{\mu }}{{x}^{\beta }}\partial {{'}_{\nu }}{{x}^{\alpha }}{{S}_{\beta }}_{\alpha }=\partial {{'}_{\mu }}{{x}^{\beta }}\partial {{'}_{\nu }}{{x}^{\alpha }}{{S}_{\alpha }}_{\beta }=S{{'}_{\nu \mu }}

TeX (checked): 

S{{'}_{\mu }}_{\nu }=\partial {{'}_{\mu }}{{x}^{\alpha }}\partial {{'}_{\nu }}{{x}^{\beta }}{{S}_{\alpha }}_{\beta }=\partial {{'}_{\mu }}{{x}^{\beta }}\partial {{'}_{\nu }}{{x}^{\alpha }}{{S}_{\beta }}_{\alpha }=\partial {{'}_{\mu }}{{x}^{\beta }}\partial {{'}_{\nu }}{{x}^{\alpha }}{{S}_{\alpha }}_{\beta }=S{{'}_{\nu \mu }}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (16.798 KB / 2.153 KB) :

S ν ′ μ = ∂ x α ′ μ ∂ x β ′ ν S α β = ∂ x β ′ μ ∂ x α ′ ν S β α = ∂ x β ′ μ ∂ x α ′ ν S α β = S ν ⁢ μ ′ fragments S superscript subscript 𝜈 𝜇 ′ superscript subscript superscript 𝑥 𝛼 𝜇 ′ superscript subscript superscript 𝑥 𝛽 𝜈 ′ subscript subscript 𝑆 𝛼 𝛽 superscript subscript superscript 𝑥 𝛽 𝜇 ′ superscript subscript superscript 𝑥 𝛼 𝜈 ′ subscript subscript 𝑆 𝛽 𝛼 superscript subscript superscript 𝑥 𝛽 𝜇 ′ superscript subscript superscript 𝑥 𝛼 𝜈 ′ subscript subscript 𝑆 𝛼 𝛽 S superscript subscript absent 𝜈 𝜇 ′ {\displaystyle{\displaystyle S{{{}^{\prime}}_{\mu}}_{\nu}=\partial{{{}^{\prime% }}_{\mu}}{{x}^{\alpha}}\partial{{{}^{\prime}}_{\nu}}{{x}^{\beta}}{{S}_{\alpha}% }_{\beta}=\partial{{{}^{\prime}}_{\mu}}{{x}^{\beta}}\partial{{{}^{\prime}}_{% \nu}}{{x}^{\alpha}}{{S}_{\beta}}_{\alpha}=\partial{{{}^{\prime}}_{\mu}}{{x}^{% \beta}}\partial{{{}^{\prime}}_{\nu}}{{x}^{\alpha}}{{S}_{\alpha}}_{\beta}=S{{{}% ^{\prime}}_{\nu\mu}}}} 
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    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle S{{{}^{\prime}}_{\mu}}_{\nu}=\partial{{{}^{\prime%
}}_{\mu}}{{x}^{\alpha}}\partial{{{}^{\prime}}_{\nu}}{{x}^{\beta}}{{S}_{\alpha}%
}_{\beta}=\partial{{{}^{\prime}}_{\mu}}{{x}^{\beta}}\partial{{{}^{\prime}}_{%
\nu}}{{x}^{\alpha}}{{S}_{\beta}}_{\alpha}=\partial{{{}^{\prime}}_{\mu}}{{x}^{%
\beta}}\partial{{{}^{\prime}}_{\nu}}{{x}^{\alpha}}{{S}_{\alpha}}_{\beta}=S{{{}%
^{\prime}}_{\nu\mu}}}}</annotation>
  </semantics>
</math>

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S'μν=∂'μxα∂'νxβSαβ=∂'μxβ∂'νxαSβα=∂'μxβ∂'νxαSαβ=S'νμ
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi><msub><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msub><mo>=</mo><mi>&#x2202;</mi><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msub><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msup><mi>&#x2202;</mi><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msub><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi></mrow></msup><msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi></mrow></msub><mo>=</mo><mi>&#x2202;</mi><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msub><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi></mrow></msup><mi>&#x2202;</mi><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msub><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msup><msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msub><mo>=</mo><mi>&#x2202;</mi><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msub><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi></mrow></msup><mi>&#x2202;</mi><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msub><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msup><msub><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi></mrow></msub><mo>=</mo><mi>S</mi><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi><mi>&#x03BC;</mi></mrow></mrow></msub></mstyle></mrow></math>

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Identifiers

  • S
  • μν
  • μ
  • x
  • α
  • ν
  • x
  • β
  • Sαβ
  • μ
  • x
  • β
  • ν
  • x
  • α
  • Sβα
  • μ
  • x
  • β
  • ν
  • x
  • α
  • Sαβ
  • S
  • ν
  • μ

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