Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.404.2 on revision:404

* Page found: Riemannscher Krümmungstensor (eq math.404.2)

(force rerendering)

Occurrences on the following pages:

Hash: 01d8271840e06e998629e3baea6161d3

TeX (original user input): 

R_{{\color{Violet}\alpha}{\color{WildStrawberry}\beta} {\color{Orange}\mu} {\color{Red}\nu}}
=
R_{{\color{Orange}\mu} {\color{Red}\nu} {\color{Violet}\alpha}{\color{WildStrawberry}\beta} }

LaTeXML (experimentell; verwendet MathML) rendering

MathML (3.938 KB / 767 B) :

R α ⁢ β ⁢ μ ⁢ ν = R μ ⁢ ν ⁢ α ⁢ β subscript 𝑅 𝛼 𝛽 𝜇 𝜈 subscript 𝑅 𝜇 𝜈 𝛼 𝛽 {\displaystyle{\displaystyle R_{{\color[rgb]{0,0,0}\alpha}{\color[rgb]{0,0,0}% \beta}{\color[rgb]{0,0,0}\mu}{\color[rgb]{0,0,0}\nu}}=R_{{\color[rgb]{0,0,0}% \mu}{\color[rgb]{0,0,0}\nu}{\color[rgb]{0,0,0}\alpha}{\color[rgb]{0,0,0}\beta}% }}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle R_{{\color[rgb]{0,0,0}\alpha}{\color[rgb]{0,0,0}%&#10;\beta}{\color[rgb]{0,0,0}\mu}{\color[rgb]{0,0,0}\nu}}=R_{{\color[rgb]{0,0,0}%&#10;\mu}{\color[rgb]{0,0,0}\nu}{\color[rgb]{0,0,0}\alpha}{\color[rgb]{0,0,0}\beta}%&#10;}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">
      <msub id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">
        <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">R</mi>
        <mrow id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">
          <mi mathcolor="#000000" id="p1.1.m1.1.2.1.1" xref="p1.1.m1.1.2.1.1.cmml">α</mi>
          <mo id="p1.1.m1.1.2.1.5" xref="p1.1.m1.1.2.1.5.cmml">⁢</mo>
          <mi mathcolor="#000000" id="p1.1.m1.1.2.1.2" xref="p1.1.m1.1.2.1.2.cmml">β</mi>
          <mo id="p1.1.m1.1.2.1.5a" xref="p1.1.m1.1.2.1.5.cmml">⁢</mo>
          <mi mathcolor="#000000" id="p1.1.m1.1.2.1.3" xref="p1.1.m1.1.2.1.3.cmml">μ</mi>
          <mo id="p1.1.m1.1.2.1.5b" xref="p1.1.m1.1.2.1.5.cmml">⁢</mo>
          <mi mathcolor="#000000" id="p1.1.m1.1.2.1.4" xref="p1.1.m1.1.2.1.4.cmml">ν</mi>
        </mrow>
      </msub>
      <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">=</mo>
      <msub id="p1.1.m1.1.6.2" xref="p1.1.m1.1.6.2.cmml">
        <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">R</mi>
        <mrow id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">
          <mi mathcolor="#000000" id="p1.1.m1.1.5.1.1" xref="p1.1.m1.1.5.1.1.cmml">μ</mi>
          <mo id="p1.1.m1.1.5.1.5" xref="p1.1.m1.1.5.1.5.cmml">⁢</mo>
          <mi mathcolor="#000000" id="p1.1.m1.1.5.1.2" xref="p1.1.m1.1.5.1.2.cmml">ν</mi>
          <mo id="p1.1.m1.1.5.1.5a" xref="p1.1.m1.1.5.1.5.cmml">⁢</mo>
          <mi mathcolor="#000000" id="p1.1.m1.1.5.1.3" xref="p1.1.m1.1.5.1.3.cmml">α</mi>
          <mo id="p1.1.m1.1.5.1.5b" xref="p1.1.m1.1.5.1.5.cmml">⁢</mo>
          <mi mathcolor="#000000" id="p1.1.m1.1.5.1.4" xref="p1.1.m1.1.5.1.4.cmml">β</mi>
        </mrow>
      </msub>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">
        <eq id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3"/>
        <apply id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">
          <csymbol cd="ambiguous" id="p1.1.m1.1.6.1.1.cmml" xref="p1.1.m1.1.6.1">subscript</csymbol>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑅</ci>
          <apply id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">
            <times id="p1.1.m1.1.2.1.5.cmml" xref="p1.1.m1.1.2.1.5"/>
            <ci id="p1.1.m1.1.2.1.1.cmml" xref="p1.1.m1.1.2.1.1">𝛼</ci>
            <ci id="p1.1.m1.1.2.1.2.cmml" xref="p1.1.m1.1.2.1.2">𝛽</ci>
            <ci id="p1.1.m1.1.2.1.3.cmml" xref="p1.1.m1.1.2.1.3">𝜇</ci>
            <ci id="p1.1.m1.1.2.1.4.cmml" xref="p1.1.m1.1.2.1.4">𝜈</ci>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.6.2.cmml" xref="p1.1.m1.1.6.2">
          <csymbol cd="ambiguous" id="p1.1.m1.1.6.2.1.cmml" xref="p1.1.m1.1.6.2">subscript</csymbol>
          <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝑅</ci>
          <apply id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">
            <times id="p1.1.m1.1.5.1.5.cmml" xref="p1.1.m1.1.5.1.5"/>
            <ci id="p1.1.m1.1.5.1.1.cmml" xref="p1.1.m1.1.5.1.1">𝜇</ci>
            <ci id="p1.1.m1.1.5.1.2.cmml" xref="p1.1.m1.1.5.1.2">𝜈</ci>
            <ci id="p1.1.m1.1.5.1.3.cmml" xref="p1.1.m1.1.5.1.3">𝛼</ci>
            <ci id="p1.1.m1.1.5.1.4.cmml" xref="p1.1.m1.1.5.1.4">𝛽</ci>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle R_{{\color[rgb]{0,0,0}\alpha}{\color[rgb]{0,0,0}%
\beta}{\color[rgb]{0,0,0}\mu}{\color[rgb]{0,0,0}\nu}}=R_{{\color[rgb]{0,0,0}%
\mu}{\color[rgb]{0,0,0}\nu}{\color[rgb]{0,0,0}\alpha}{\color[rgb]{0,0,0}\beta}%
}}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (1.077 KB / 249 B) :

Rαβμν=Rμναβ
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>&#x03B1;</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#EE2967"><mi>&#x03B2;</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>&#x03BC;</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>&#x03BD;</mi></mstyle></mrow></mrow></mrow></msub><mo>=</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>&#x03BC;</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>&#x03BD;</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>&#x03B1;</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#EE2967"><mi>&#x03B2;</mi></mstyle></mrow></mrow></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 Riemannscher Krümmungstensor page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“