- testwiki

General

Display information for equation id:math.1109.173 on revision:1109

* Page found: ART-Skript (eq math.1109.173)

Occurrences on the following pages:

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}}}}

<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle S{{{}^{\prime}}_{\mu}}_{\nu}=\partial{{{}^{\prime%&#10;}}_{\mu}}{{x}^{\alpha}}\partial{{{}^{\prime}}_{\nu}}{{x}^{\beta}}{{S}_{\alpha}%&#10;}_{\beta}=\partial{{{}^{\prime}}_{\mu}}{{x}^{\beta}}\partial{{{}^{\prime}}_{%&#10;\nu}}{{x}^{\alpha}}{{S}_{\beta}}_{\alpha}=\partial{{{}^{\prime}}_{\mu}}{{x}^{%&#10;\beta}}\partial{{{}^{\prime}}_{\nu}}{{x}^{\alpha}}{{S}_{\alpha}}_{\beta}=S{{{}%&#10;^{\prime}}_{\nu\mu}}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1b">
      <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">S</mi>
      <mmultiscripts id="p1.1.m1.1.51" xref="p1.1.m1.1.51.cmml">
        <msub id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">
          <mi id="p1.1.m1.1.4a" xref="p1.1.m1.1.4.cmml"/>
          <mi id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">ν</mi>
        </msub>
        <mprescripts id="p1.1.m1.1.51a" xref="p1.1.m1.1.51.cmml"/>
        <none id="p1.1.m1.1.51b" xref="p1.1.m1.1.51.cmml"/>
        <mo id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">′</mo>
        <mi id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">μ</mi>
        <none id="p1.1.m1.1.51c" xref="p1.1.m1.1.51.cmml"/>
      </mmultiscripts>
      <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">=</mo>
      <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">∂</mo>
      <mmultiscripts id="p1.1.m1.1.52" xref="p1.1.m1.1.52.cmml">
        <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">x</mi>
        <none id="p1.1.m1.1.52a" xref="p1.1.m1.1.52.cmml"/>
        <mi id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">α</mi>
        <mprescripts id="p1.1.m1.1.52b" xref="p1.1.m1.1.52.cmml"/>
        <none id="p1.1.m1.1.52c" xref="p1.1.m1.1.52.cmml"/>
        <mo id="p1.1.m1.1.7.1" xref="p1.1.m1.1.7.1.cmml">′</mo>
        <mi id="p1.1.m1.1.8.1" xref="p1.1.m1.1.8.1.cmml">μ</mi>
        <none id="p1.1.m1.1.52d" xref="p1.1.m1.1.52.cmml"/>
      </mmultiscripts>
      <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">∂</mo>
      <mmultiscripts id="p1.1.m1.1.53" xref="p1.1.m1.1.53.cmml">
        <mi id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">x</mi>
        <none id="p1.1.m1.1.53a" xref="p1.1.m1.1.53.cmml"/>
        <mi id="p1.1.m1.1.15.1" xref="p1.1.m1.1.15.1.cmml">β</mi>
        <mprescripts id="p1.1.m1.1.53b" xref="p1.1.m1.1.53.cmml"/>
        <none id="p1.1.m1.1.53c" xref="p1.1.m1.1.53.cmml"/>
        <mo id="p1.1.m1.1.12.1" xref="p1.1.m1.1.12.1.cmml">′</mo>
        <mi id="p1.1.m1.1.13.1" xref="p1.1.m1.1.13.1.cmml">ν</mi>
        <none id="p1.1.m1.1.53d" xref="p1.1.m1.1.53.cmml"/>
      </mmultiscripts>
      <mmultiscripts id="p1.1.m1.1.54" xref="p1.1.m1.1.54.cmml">
        <mi id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">S</mi>
        <mi id="p1.1.m1.1.17.1" xref="p1.1.m1.1.17.1.cmml">α</mi>
        <none id="p1.1.m1.1.54a" xref="p1.1.m1.1.54.cmml"/>
        <mi id="p1.1.m1.1.18.1" xref="p1.1.m1.1.18.1.cmml">β</mi>
        <none id="p1.1.m1.1.54b" xref="p1.1.m1.1.54.cmml"/>
      </mmultiscripts>
      <mo id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">=</mo>
      <mo id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">∂</mo>
      <mmultiscripts id="p1.1.m1.1.55" xref="p1.1.m1.1.55.cmml">
        <mi id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">x</mi>
        <none id="p1.1.m1.1.55a" xref="p1.1.m1.1.55.cmml"/>
        <mi id="p1.1.m1.1.24.1" xref="p1.1.m1.1.24.1.cmml">β</mi>
        <mprescripts id="p1.1.m1.1.55b" xref="p1.1.m1.1.55.cmml"/>
        <none id="p1.1.m1.1.55c" xref="p1.1.m1.1.55.cmml"/>
        <mo id="p1.1.m1.1.21.1" xref="p1.1.m1.1.21.1.cmml">′</mo>
        <mi id="p1.1.m1.1.22.1" xref="p1.1.m1.1.22.1.cmml">μ</mi>
        <none id="p1.1.m1.1.55d" xref="p1.1.m1.1.55.cmml"/>
      </mmultiscripts>
      <mo id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">∂</mo>
      <mmultiscripts id="p1.1.m1.1.56" xref="p1.1.m1.1.56.cmml">
        <mi id="p1.1.m1.1.28" xref="p1.1.m1.1.28.cmml">x</mi>
        <none id="p1.1.m1.1.56a" xref="p1.1.m1.1.56.cmml"/>
        <mi id="p1.1.m1.1.29.1" xref="p1.1.m1.1.29.1.cmml">α</mi>
        <mprescripts id="p1.1.m1.1.56b" xref="p1.1.m1.1.56.cmml"/>
        <none id="p1.1.m1.1.56c" xref="p1.1.m1.1.56.cmml"/>
        <mo id="p1.1.m1.1.26.1" xref="p1.1.m1.1.26.1.cmml">′</mo>
        <mi id="p1.1.m1.1.27.1" xref="p1.1.m1.1.27.1.cmml">ν</mi>
        <none id="p1.1.m1.1.56d" xref="p1.1.m1.1.56.cmml"/>
      </mmultiscripts>
      <mmultiscripts id="p1.1.m1.1.57" xref="p1.1.m1.1.57.cmml">
        <mi id="p1.1.m1.1.30" xref="p1.1.m1.1.30.cmml">S</mi>
        <mi id="p1.1.m1.1.31.1" xref="p1.1.m1.1.31.1.cmml">β</mi>
        <none id="p1.1.m1.1.57a" xref="p1.1.m1.1.57.cmml"/>
        <mi id="p1.1.m1.1.32.1" xref="p1.1.m1.1.32.1.cmml">α</mi>
        <none id="p1.1.m1.1.57b" xref="p1.1.m1.1.57.cmml"/>
      </mmultiscripts>
      <mo id="p1.1.m1.1.33" xref="p1.1.m1.1.33.cmml">=</mo>
      <mo id="p1.1.m1.1.34" xref="p1.1.m1.1.34.cmml">∂</mo>
      <mmultiscripts id="p1.1.m1.1.58" xref="p1.1.m1.1.58.cmml">
        <mi id="p1.1.m1.1.37" xref="p1.1.m1.1.37.cmml">x</mi>
        <none id="p1.1.m1.1.58a" xref="p1.1.m1.1.58.cmml"/>
        <mi id="p1.1.m1.1.38.1" xref="p1.1.m1.1.38.1.cmml">β</mi>
        <mprescripts id="p1.1.m1.1.58b" xref="p1.1.m1.1.58.cmml"/>
        <none id="p1.1.m1.1.58c" xref="p1.1.m1.1.58.cmml"/>
        <mo id="p1.1.m1.1.35.1" xref="p1.1.m1.1.35.1.cmml">′</mo>
        <mi id="p1.1.m1.1.36.1" xref="p1.1.m1.1.36.1.cmml">μ</mi>
        <none id="p1.1.m1.1.58d" xref="p1.1.m1.1.58.cmml"/>
      </mmultiscripts>
      <mo id="p1.1.m1.1.39" xref="p1.1.m1.1.39.cmml">∂</mo>
      <mmultiscripts id="p1.1.m1.1.59" xref="p1.1.m1.1.59.cmml">
        <mi id="p1.1.m1.1.42" xref="p1.1.m1.1.42.cmml">x</mi>
        <none id="p1.1.m1.1.59a" xref="p1.1.m1.1.59.cmml"/>
        <mi id="p1.1.m1.1.43.1" xref="p1.1.m1.1.43.1.cmml">α</mi>
        <mprescripts id="p1.1.m1.1.59b" xref="p1.1.m1.1.59.cmml"/>
        <none id="p1.1.m1.1.59c" xref="p1.1.m1.1.59.cmml"/>
        <mo id="p1.1.m1.1.40.1" xref="p1.1.m1.1.40.1.cmml">′</mo>
        <mi id="p1.1.m1.1.41.1" xref="p1.1.m1.1.41.1.cmml">ν</mi>
        <none id="p1.1.m1.1.59d" xref="p1.1.m1.1.59.cmml"/>
      </mmultiscripts>
      <mmultiscripts id="p1.1.m1.1.60" xref="p1.1.m1.1.60.cmml">
        <mi id="p1.1.m1.1.44" xref="p1.1.m1.1.44.cmml">S</mi>
        <mi id="p1.1.m1.1.45.1" xref="p1.1.m1.1.45.1.cmml">α</mi>
        <none id="p1.1.m1.1.60a" xref="p1.1.m1.1.60.cmml"/>
        <mi id="p1.1.m1.1.46.1" xref="p1.1.m1.1.46.1.cmml">β</mi>
        <none id="p1.1.m1.1.60b" xref="p1.1.m1.1.60.cmml"/>
      </mmultiscripts>
      <mo id="p1.1.m1.1.47" xref="p1.1.m1.1.47.cmml">=</mo>
      <mi id="p1.1.m1.1.48" xref="p1.1.m1.1.48.cmml">S</mi>
      <mmultiscripts id="p1.1.m1.1.61" xref="p1.1.m1.1.61.cmml">
        <mi id="p1.1.m1.1.61.2.2" xref="p1.1.m1.1.61.2.2.cmml"/>
        <mrow id="p1.1.m1.1.50.1" xref="p1.1.m1.1.50.1.cmml">
          <mi id="p1.1.m1.1.50.1.1" xref="p1.1.m1.1.50.1.1.cmml">ν</mi>
          <mo id="p1.1.m1.1.50.1.3" xref="p1.1.m1.1.50.1.3.cmml">⁢</mo>
          <mi id="p1.1.m1.1.50.1.2" xref="p1.1.m1.1.50.1.2.cmml">μ</mi>
        </mrow>
        <none id="p1.1.m1.1.61a" xref="p1.1.m1.1.61.cmml"/>
        <none id="p1.1.m1.1.61b" xref="p1.1.m1.1.61.cmml"/>
        <mo id="p1.1.m1.1.49.1" xref="p1.1.m1.1.49.1.cmml">′</mo>
      </mmultiscripts>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1c">
      <cerror id="p1.1.m1.1d">
        <csymbol cd="ambiguous" id="p1.1.m1.1e">fragments</csymbol>
        <csymbol cd="unknown" id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">S</csymbol>
        <apply id="p1.1.m1.1.51.cmml" xref="p1.1.m1.1.51">
          <csymbol cd="ambiguous" id="p1.1.m1.1.51.1.cmml" xref="p1.1.m1.1.51">superscript</csymbol>
          <apply id="p1.1.m1.1.51.2.cmml" xref="p1.1.m1.1.51">
            <csymbol cd="ambiguous" id="p1.1.m1.1.51.2.1.cmml" xref="p1.1.m1.1.51">subscript</csymbol>
            <apply id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">
              <ci id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">𝜈</ci>
            </apply>
            <ci id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">𝜇</ci>
          </apply>
          <ci id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">′</ci>
        </apply>
        <eq id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5"/>
        <partialdiff id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6"/>
        <apply id="p1.1.m1.1.52.cmml" xref="p1.1.m1.1.52">
          <csymbol cd="ambiguous" id="p1.1.m1.1.52.1.cmml" xref="p1.1.m1.1.52">superscript</csymbol>
          <apply id="p1.1.m1.1.52.2.cmml" xref="p1.1.m1.1.52">
            <csymbol cd="ambiguous" id="p1.1.m1.1.52.2.1.cmml" xref="p1.1.m1.1.52">subscript</csymbol>
            <apply id="p1.1.m1.1.52.2.2.cmml" xref="p1.1.m1.1.52">
              <csymbol cd="ambiguous" id="p1.1.m1.1.52.2.2.1.cmml" xref="p1.1.m1.1.52">superscript</csymbol>
              <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝑥</ci>
              <ci id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">𝛼</ci>
            </apply>
            <ci id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8.1">𝜇</ci>
          </apply>
          <ci id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.1">′</ci>
        </apply>
        <partialdiff id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11"/>
        <apply id="p1.1.m1.1.53.cmml" xref="p1.1.m1.1.53">
          <csymbol cd="ambiguous" id="p1.1.m1.1.53.1.cmml" xref="p1.1.m1.1.53">superscript</csymbol>
          <apply id="p1.1.m1.1.53.2.cmml" xref="p1.1.m1.1.53">
            <csymbol cd="ambiguous" id="p1.1.m1.1.53.2.1.cmml" xref="p1.1.m1.1.53">subscript</csymbol>
            <apply id="p1.1.m1.1.53.2.2.cmml" xref="p1.1.m1.1.53">
              <csymbol cd="ambiguous" id="p1.1.m1.1.53.2.2.1.cmml" xref="p1.1.m1.1.53">superscript</csymbol>
              <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">𝑥</ci>
              <ci id="p1.1.m1.1.15.1.cmml" xref="p1.1.m1.1.15.1">𝛽</ci>
            </apply>
            <ci id="p1.1.m1.1.13.1.cmml" xref="p1.1.m1.1.13.1">𝜈</ci>
          </apply>
          <ci id="p1.1.m1.1.12.1.cmml" xref="p1.1.m1.1.12.1">′</ci>
        </apply>
        <apply id="p1.1.m1.1.54.cmml" xref="p1.1.m1.1.54">
          <csymbol cd="ambiguous" id="p1.1.m1.1.54.1.cmml" xref="p1.1.m1.1.54">subscript</csymbol>
          <apply id="p1.1.m1.1.54.2.cmml" xref="p1.1.m1.1.54">
            <csymbol cd="ambiguous" id="p1.1.m1.1.54.2.1.cmml" xref="p1.1.m1.1.54">subscript</csymbol>
            <ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">𝑆</ci>
            <ci id="p1.1.m1.1.17.1.cmml" xref="p1.1.m1.1.17.1">𝛼</ci>
          </apply>
          <ci id="p1.1.m1.1.18.1.cmml" xref="p1.1.m1.1.18.1">𝛽</ci>
        </apply>
        <eq id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19"/>
        <partialdiff id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20"/>
        <apply id="p1.1.m1.1.55.cmml" xref="p1.1.m1.1.55">
          <csymbol cd="ambiguous" id="p1.1.m1.1.55.1.cmml" xref="p1.1.m1.1.55">superscript</csymbol>
          <apply id="p1.1.m1.1.55.2.cmml" xref="p1.1.m1.1.55">
            <csymbol cd="ambiguous" id="p1.1.m1.1.55.2.1.cmml" xref="p1.1.m1.1.55">subscript</csymbol>
            <apply id="p1.1.m1.1.55.2.2.cmml" xref="p1.1.m1.1.55">
              <csymbol cd="ambiguous" id="p1.1.m1.1.55.2.2.1.cmml" xref="p1.1.m1.1.55">superscript</csymbol>
              <ci id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">𝑥</ci>
              <ci id="p1.1.m1.1.24.1.cmml" xref="p1.1.m1.1.24.1">𝛽</ci>
            </apply>
            <ci id="p1.1.m1.1.22.1.cmml" xref="p1.1.m1.1.22.1">𝜇</ci>
          </apply>
          <ci id="p1.1.m1.1.21.1.cmml" xref="p1.1.m1.1.21.1">′</ci>
        </apply>
        <partialdiff id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25"/>
        <apply id="p1.1.m1.1.56.cmml" xref="p1.1.m1.1.56">
          <csymbol cd="ambiguous" id="p1.1.m1.1.56.1.cmml" xref="p1.1.m1.1.56">superscript</csymbol>
          <apply id="p1.1.m1.1.56.2.cmml" xref="p1.1.m1.1.56">
            <csymbol cd="ambiguous" id="p1.1.m1.1.56.2.1.cmml" xref="p1.1.m1.1.56">subscript</csymbol>
            <apply id="p1.1.m1.1.56.2.2.cmml" xref="p1.1.m1.1.56">
              <csymbol cd="ambiguous" id="p1.1.m1.1.56.2.2.1.cmml" xref="p1.1.m1.1.56">superscript</csymbol>
              <ci id="p1.1.m1.1.28.cmml" xref="p1.1.m1.1.28">𝑥</ci>
              <ci id="p1.1.m1.1.29.1.cmml" xref="p1.1.m1.1.29.1">𝛼</ci>
            </apply>
            <ci id="p1.1.m1.1.27.1.cmml" xref="p1.1.m1.1.27.1">𝜈</ci>
          </apply>
          <ci id="p1.1.m1.1.26.1.cmml" xref="p1.1.m1.1.26.1">′</ci>
        </apply>
        <apply id="p1.1.m1.1.57.cmml" xref="p1.1.m1.1.57">
          <csymbol cd="ambiguous" id="p1.1.m1.1.57.1.cmml" xref="p1.1.m1.1.57">subscript</csymbol>
          <apply id="p1.1.m1.1.57.2.cmml" xref="p1.1.m1.1.57">
            <csymbol cd="ambiguous" id="p1.1.m1.1.57.2.1.cmml" xref="p1.1.m1.1.57">subscript</csymbol>
            <ci id="p1.1.m1.1.30.cmml" xref="p1.1.m1.1.30">𝑆</ci>
            <ci id="p1.1.m1.1.31.1.cmml" xref="p1.1.m1.1.31.1">𝛽</ci>
          </apply>
          <ci id="p1.1.m1.1.32.1.cmml" xref="p1.1.m1.1.32.1">𝛼</ci>
        </apply>
        <eq id="p1.1.m1.1.33.cmml" xref="p1.1.m1.1.33"/>
        <partialdiff id="p1.1.m1.1.34.cmml" xref="p1.1.m1.1.34"/>
        <apply id="p1.1.m1.1.58.cmml" xref="p1.1.m1.1.58">
          <csymbol cd="ambiguous" id="p1.1.m1.1.58.1.cmml" xref="p1.1.m1.1.58">superscript</csymbol>
          <apply id="p1.1.m1.1.58.2.cmml" xref="p1.1.m1.1.58">
            <csymbol cd="ambiguous" id="p1.1.m1.1.58.2.1.cmml" xref="p1.1.m1.1.58">subscript</csymbol>
            <apply id="p1.1.m1.1.58.2.2.cmml" xref="p1.1.m1.1.58">
              <csymbol cd="ambiguous" id="p1.1.m1.1.58.2.2.1.cmml" xref="p1.1.m1.1.58">superscript</csymbol>
              <ci id="p1.1.m1.1.37.cmml" xref="p1.1.m1.1.37">𝑥</ci>
              <ci id="p1.1.m1.1.38.1.cmml" xref="p1.1.m1.1.38.1">𝛽</ci>
            </apply>
            <ci id="p1.1.m1.1.36.1.cmml" xref="p1.1.m1.1.36.1">𝜇</ci>
          </apply>
          <ci id="p1.1.m1.1.35.1.cmml" xref="p1.1.m1.1.35.1">′</ci>
        </apply>
        <partialdiff id="p1.1.m1.1.39.cmml" xref="p1.1.m1.1.39"/>
        <apply id="p1.1.m1.1.59.cmml" xref="p1.1.m1.1.59">
          <csymbol cd="ambiguous" id="p1.1.m1.1.59.1.cmml" xref="p1.1.m1.1.59">superscript</csymbol>
          <apply id="p1.1.m1.1.59.2.cmml" xref="p1.1.m1.1.59">
            <csymbol cd="ambiguous" id="p1.1.m1.1.59.2.1.cmml" xref="p1.1.m1.1.59">subscript</csymbol>
            <apply id="p1.1.m1.1.59.2.2.cmml" xref="p1.1.m1.1.59">
              <csymbol cd="ambiguous" id="p1.1.m1.1.59.2.2.1.cmml" xref="p1.1.m1.1.59">superscript</csymbol>
              <ci id="p1.1.m1.1.42.cmml" xref="p1.1.m1.1.42">𝑥</ci>
              <ci id="p1.1.m1.1.43.1.cmml" xref="p1.1.m1.1.43.1">𝛼</ci>
            </apply>
            <ci id="p1.1.m1.1.41.1.cmml" xref="p1.1.m1.1.41.1">𝜈</ci>
          </apply>
          <ci id="p1.1.m1.1.40.1.cmml" xref="p1.1.m1.1.40.1">′</ci>
        </apply>
        <apply id="p1.1.m1.1.60.cmml" xref="p1.1.m1.1.60">
          <csymbol cd="ambiguous" id="p1.1.m1.1.60.1.cmml" xref="p1.1.m1.1.60">subscript</csymbol>
          <apply id="p1.1.m1.1.60.2.cmml" xref="p1.1.m1.1.60">
            <csymbol cd="ambiguous" id="p1.1.m1.1.60.2.1.cmml" xref="p1.1.m1.1.60">subscript</csymbol>
            <ci id="p1.1.m1.1.44.cmml" xref="p1.1.m1.1.44">𝑆</ci>
            <ci id="p1.1.m1.1.45.1.cmml" xref="p1.1.m1.1.45.1">𝛼</ci>
          </apply>
          <ci id="p1.1.m1.1.46.1.cmml" xref="p1.1.m1.1.46.1">𝛽</ci>
        </apply>
        <eq id="p1.1.m1.1.47.cmml" xref="p1.1.m1.1.47"/>
        <csymbol cd="unknown" id="p1.1.m1.1.48.cmml" xref="p1.1.m1.1.48">S</csymbol>
        <apply id="p1.1.m1.1.61.cmml" xref="p1.1.m1.1.61">
          <csymbol cd="ambiguous" id="p1.1.m1.1.61.1.cmml" xref="p1.1.m1.1.61">superscript</csymbol>
          <apply id="p1.1.m1.1.61.2.cmml" xref="p1.1.m1.1.61">
            <csymbol cd="ambiguous" id="p1.1.m1.1.61.2.1.cmml" xref="p1.1.m1.1.61">subscript</csymbol>
            <csymbol cd="latexml" id="p1.1.m1.1.61.2.2.cmml" xref="p1.1.m1.1.61.2.2">absent</csymbol>
            <apply id="p1.1.m1.1.50.1.cmml" xref="p1.1.m1.1.50.1">
              <times id="p1.1.m1.1.50.1.3.cmml" xref="p1.1.m1.1.50.1.3"/>
              <ci id="p1.1.m1.1.50.1.1.cmml" xref="p1.1.m1.1.50.1.1">𝜈</ci>
              <ci id="p1.1.m1.1.50.1.2.cmml" xref="p1.1.m1.1.50.1.2">𝜇</ci>
            </apply>
          </apply>
          <ci id="p1.1.m1.1.49.1.cmml" xref="p1.1.m1.1.49.1">′</ci>
        </apply>
      </cerror>
    </annotation-xml>
    <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>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :

MathML (experimental; no images) rendering

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>

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Identifiers

$S$

$μ_{ν}$

$μ$

$x$

$α$

$ν$

$x$

$β$

$S_{α} β$

$μ$

$x$

$β$

$ν$

$x$

$α$

$S_{β} α$

$μ$

$x$

$β$

$ν$

$x$

$α$

$S_{α} β$

$S$

$ν$

$μ$

MathML observations

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

General

LaTeXML (experimental; uses MathML) rendering

MathML (experimental; no images) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigation menu

General

LaTeXML (experimental; uses MathML) rendering

MathML (experimental; no images) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigation menu

Search