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

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ART-Skript Eq: math.1110.173

Hash: cbf4cf8106ef02487aed2ad1ab5576bb

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 (experimental; uses MathML) rendering

MathML (16.798 KB / 2.153 KB) :

{\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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MathML (1.918 KB / 279 B) :

S {'_{μ}}_{ν} = \partial'_{μ} x^{α} \partial'_{ν} x^{β} {S_{α}}_{β} = \partial'_{μ} x^{β} \partial'_{ν} x^{α} {S_{β}}_{α} = \partial'_{μ} x^{β} \partial'_{ν} x^{α} {S_{α}}_{β} = S'_{ν μ}

<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

$S$

$μ_{ν}$

$μ$

$x$

$α$

$ν$

$x$

$β$

$S_{α} β$

$μ$

$x$

$β$

$ν$

$x$

$α$

$S_{β} α$

$μ$

$x$

$β$

$ν$

$x$

$α$

$S_{α} β$

$S$

$ν$

$μ$

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