Jump to navigation Jump to search

General

Display information for equation id:math.1108.170 on revision:1108

* Page found: ART-Skript (eq math.1108.170)

(force rerendering)

Occurrences on the following pages:

Hash: 71e18d62dc9740efbd13f1ba892a4a18

TeX (original user input):

v{{'}_{\beta }}=g{{'}_{\alpha \beta }}v{{'}^{\alpha }}={{\partial }_{\beta }}{{x}^{\sigma }}{{v}_{\sigma }}

TeX (checked):

v{{'}_{\beta }}=g{{'}_{\alpha \beta }}v{{'}^{\alpha }}={{\partial }_{\beta }}{{x}^{\sigma }}{{v}_{\sigma }}

LaTeXML (experimental; uses MathML) rendering

MathML (6.052 KB / 1.098 KB) :

v = β g v α β = α β x σ v σ fragments v superscript subscript 𝛽 g superscript subscript 𝑣 𝛼 𝛽 superscript superscript 𝛼 subscript 𝛽 superscript 𝑥 𝜎 subscript 𝑣 𝜎 {\displaystyle{\displaystyle v{{{}^{\prime}}_{\beta}}=g{{{}^{\prime}}_{\alpha% \beta}}v{{{}^{\prime}}^{\alpha}}={{\partial}_{\beta}}{{x}^{\sigma}}{{v}_{% \sigma}}}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle v{{{}^{\prime}}_{\beta}}=g{{{}^{\prime}}_{\alpha%&#10;\beta}}v{{{}^{\prime}}^{\alpha}}={{\partial}_{\beta}}{{x}^{\sigma}}{{v}_{%&#10;\sigma}}}}" 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">v</mi>
      <mmultiscripts id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">
        <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">=</mo>
        <mprescripts id="p1.1.m1.1.18a" xref="p1.1.m1.1.18.cmml"/>
        <none id="p1.1.m1.1.18b" xref="p1.1.m1.1.18.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">β</mi>
        <none id="p1.1.m1.1.18c" xref="p1.1.m1.1.18.cmml"/>
      </mmultiscripts>
      <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">g</mi>
      <mmultiscripts id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">
        <mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">v</mi>
        <mprescripts id="p1.1.m1.1.19a" xref="p1.1.m1.1.19.cmml"/>
        <none id="p1.1.m1.1.19b" xref="p1.1.m1.1.19.cmml"/>
        <mo id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml"></mo>
        <mrow id="p1.1.m1.1.7.1" xref="p1.1.m1.1.7.1.cmml">
          <mi id="p1.1.m1.1.7.1.1" xref="p1.1.m1.1.7.1.1.cmml">α</mi>
          <mo id="p1.1.m1.1.7.1.3" xref="p1.1.m1.1.7.1.3.cmml"></mo>
          <mi id="p1.1.m1.1.7.1.2" xref="p1.1.m1.1.7.1.2.cmml">β</mi>
        </mrow>
        <none id="p1.1.m1.1.19c" xref="p1.1.m1.1.19.cmml"/>
      </mmultiscripts>
      <mmultiscripts id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">
        <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">=</mo>
        <mprescripts id="p1.1.m1.1.20a" xref="p1.1.m1.1.20.cmml"/>
        <none id="p1.1.m1.1.20b" xref="p1.1.m1.1.20.cmml"/>
        <mo id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml"></mo>
        <none id="p1.1.m1.1.20c" xref="p1.1.m1.1.20.cmml"/>
        <mi id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">α</mi>
      </mmultiscripts>
      <msub id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">
        <mo id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml"></mo>
        <mi id="p1.1.m1.1.13.1" xref="p1.1.m1.1.13.1.cmml">β</mi>
      </msub>
      <msup id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">
        <mi id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">x</mi>
        <mi id="p1.1.m1.1.15.1" xref="p1.1.m1.1.15.1.cmml">σ</mi>
      </msup>
      <msub id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">
        <mi id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">v</mi>
        <mi id="p1.1.m1.1.17.1" xref="p1.1.m1.1.17.1.cmml">σ</mi>
      </msub>
    </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">v</csymbol>
        <apply id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">
          <csymbol cd="ambiguous" id="p1.1.m1.1.18.1.cmml" xref="p1.1.m1.1.18">superscript</csymbol>
          <apply id="p1.1.m1.1.18.2.cmml" xref="p1.1.m1.1.18">
            <csymbol cd="ambiguous" id="p1.1.m1.1.18.2.1.cmml" xref="p1.1.m1.1.18">subscript</csymbol>
            <eq id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4"/>
            <ci id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">𝛽</ci>
          </apply>
          <ci id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1"></ci>
        </apply>
        <csymbol cd="unknown" id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">g</csymbol>
        <apply id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">
          <csymbol cd="ambiguous" id="p1.1.m1.1.19.1.cmml" xref="p1.1.m1.1.19">superscript</csymbol>
          <apply id="p1.1.m1.1.19.2.cmml" xref="p1.1.m1.1.19">
            <csymbol cd="ambiguous" id="p1.1.m1.1.19.2.1.cmml" xref="p1.1.m1.1.19">subscript</csymbol>
            <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">𝑣</ci>
            <apply id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.1">
              <times id="p1.1.m1.1.7.1.3.cmml" xref="p1.1.m1.1.7.1.3"/>
              <ci id="p1.1.m1.1.7.1.1.cmml" xref="p1.1.m1.1.7.1.1">𝛼</ci>
              <ci id="p1.1.m1.1.7.1.2.cmml" xref="p1.1.m1.1.7.1.2">𝛽</ci>
            </apply>
          </apply>
          <ci id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1"></ci>
        </apply>
        <apply id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">
          <csymbol cd="ambiguous" id="p1.1.m1.1.20.1.cmml" xref="p1.1.m1.1.20">superscript</csymbol>
          <apply id="p1.1.m1.1.20.2.cmml" xref="p1.1.m1.1.20">
            <csymbol cd="ambiguous" id="p1.1.m1.1.20.2.1.cmml" xref="p1.1.m1.1.20">superscript</csymbol>
            <eq id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11"/>
            <ci id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">𝛼</ci>
          </apply>
          <ci id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1"></ci>
        </apply>
        <apply id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">
          <csymbol cd="ambiguous" id="p1.1.m1.1.21.1.cmml" xref="p1.1.m1.1.21">subscript</csymbol>
          <partialdiff id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12"/>
          <ci id="p1.1.m1.1.13.1.cmml" xref="p1.1.m1.1.13.1">𝛽</ci>
        </apply>
        <apply id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">
          <csymbol cd="ambiguous" id="p1.1.m1.1.22.1.cmml" xref="p1.1.m1.1.22">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">𝜎</ci>
        </apply>
        <apply id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">
          <csymbol cd="ambiguous" id="p1.1.m1.1.23.1.cmml" xref="p1.1.m1.1.23">subscript</csymbol>
          <ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">𝑣</ci>
          <ci id="p1.1.m1.1.17.1.cmml" xref="p1.1.m1.1.17.1">𝜎</ci>
        </apply>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle v{{{}^{\prime}}_{\beta}}=g{{{}^{\prime}}_{\alpha%
\beta}}v{{{}^{\prime}}^{\alpha}}={{\partial}_{\beta}}{{x}^{\sigma}}{{v}_{%
\sigma}}}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (744 B / 240 B) :

v'β=g'αβv'α=βxσvσ
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>v</mi><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi></mrow></msub><mo>=</mo><mi>g</mi><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi><mi>&#x03B2;</mi></mrow></mrow></msub><mi>v</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msup><mo>=</mo><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi></mrow></msub><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>&#x03C3;</mi></mrow></msup><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mi>&#x03C3;</mi></mrow></msub></mstyle></mrow></math>

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

Calculated based on the variables occurring on the entire ART-Skript page

Identifiers

  • v
  • β
  • g
  • α
  • β
  • v
  • α
  • β
  • x
  • σ
  • vσ

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results