Jump to navigation Jump to search

General

Display information for equation id:math.1108.404 on revision:1108

* Page found: ART-Skript (eq math.1108.404)

(force rerendering)

Occurrences on the following pages:

Hash: 33bf3ab28161647138af3424c7e5d920

TeX (original user input):

{{g}_{\mu \nu }}{{_{;}}_{\rho }}=0\to \text{f }\!\!\ddot{\mathrm{u}}\!\!\text{ r }\Gamma _{\left[ \mu \nu  \right]}^{\alpha }=0\text{ gilt }\Gamma \text{=}\left\{ {} \right\}

TeX (checked):

{{g}_{\mu \nu }}{{_{;}}_{\rho }}=0\to {\text{f }}\!\!{\ddot {\mathrm {u} }}\!\!{\text{ r }}\Gamma _{\left[\mu \nu \right]}^{\alpha }=0{\text{ gilt }}\Gamma {\text{=}}\left\{{}\right\}

LaTeXML (experimental; uses MathML) rendering

MathML (7.264 KB / 1.435 KB) :

g μ ν = ; ρ 0 u ¨  r  Γ [ μ ν ] α = 0  gilt  Γ = { } fragments subscript 𝑔 𝜇 𝜈 subscript subscript 𝜌 ; 0 ¨ u  r  superscript subscript Γ delimited-[] 𝜇 𝜈 𝛼 0  gilt  Γ = fragments { } {\displaystyle{\displaystyle{{g}_{\mu\nu}}{{{}_{;}}_{\rho}}=0\to\text{f }\!\!% \ddot{\mathrm{u}}\!\!\text{ r }\Gamma_{\left[\mu\nu\right]}^{\alpha}=0\text{ % gilt }\Gamma\text{=}\left\{{}\right\}}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle{{g}_{\mu\nu}}{{{}_{;}}_{\rho}}=0\to\text{f }\!\!%&#10;\ddot{\mathrm{u}}\!\!\text{ r }\Gamma_{\left[\mu\nu\right]}^{\alpha}=0\text{ %&#10;gilt }\Gamma\text{=}\left\{{}\right\}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1b">
      <msub id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">
        <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">g</mi>
        <mrow id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">
          <mi id="p1.1.m1.1.2.1.1" xref="p1.1.m1.1.2.1.1.cmml">μ</mi>
          <mo id="p1.1.m1.1.2.1.3" xref="p1.1.m1.1.2.1.3.cmml"></mo>
          <mi id="p1.1.m1.1.2.1.2" xref="p1.1.m1.1.2.1.2.cmml">ν</mi>
        </mrow>
      </msub>
      <mmultiscripts id="p1.1.m1.1.26" xref="p1.1.m1.1.26.cmml">
        <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">=</mo>
        <mprescripts id="p1.1.m1.1.26a" xref="p1.1.m1.1.26.cmml"/>
        <mo id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">;</mo>
        <none id="p1.1.m1.1.26b" xref="p1.1.m1.1.26.cmml"/>
        <mi id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">ρ</mi>
        <none id="p1.1.m1.1.26c" xref="p1.1.m1.1.26.cmml"/>
      </mmultiscripts>
      <mn id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">0</mn>
      <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml"></mo>
      <mpadded width="-3.3pt" id="p1.1.m1.1.8" xref="p1.1.m1.1.8b.cmml">
        <mtext id="p1.1.m1.1.8a" xref="p1.1.m1.1.8b.cmml">f </mtext>
      </mpadded>
      <mpadded width="-3.3pt" id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">
        <mover accent="true" id="p1.1.m1.1.11a" xref="p1.1.m1.1.11.cmml">
          <mi mathvariant="normal" id="p1.1.m1.1.11.2" xref="p1.1.m1.1.11.2.cmml">u</mi>
          <mo id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">¨</mo>
        </mover>
      </mpadded>
      <mtext id="p1.1.m1.1.14" xref="p1.1.m1.1.14a.cmml"> r </mtext>
      <msubsup id="p1.1.m1.1.27" xref="p1.1.m1.1.27.cmml">
        <mi mathvariant="normal" id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">Γ</mi>
        <mrow id="p1.1.m1.1.16.1" xref="p1.1.m1.1.16.1.5.cmml">
          <mo id="p1.1.m1.1.16.1.1" xref="p1.1.m1.1.16.1.5.1.cmml">[</mo>
          <mrow id="p1.1.m1.1.16.1.6" xref="p1.1.m1.1.16.1.6.cmml">
            <mi id="p1.1.m1.1.16.1.2" xref="p1.1.m1.1.16.1.2.cmml">μ</mi>
            <mo id="p1.1.m1.1.16.1.6.1" xref="p1.1.m1.1.16.1.6.1.cmml"></mo>
            <mi id="p1.1.m1.1.16.1.3" xref="p1.1.m1.1.16.1.3.cmml">ν</mi>
          </mrow>
          <mo id="p1.1.m1.1.16.1.4" xref="p1.1.m1.1.16.1.5.1.cmml">]</mo>
        </mrow>
        <mi id="p1.1.m1.1.17.1" xref="p1.1.m1.1.17.1.cmml">α</mi>
      </msubsup>
      <mo id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">=</mo>
      <mn id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">0</mn>
      <mtext id="p1.1.m1.1.20" xref="p1.1.m1.1.20a.cmml"> gilt </mtext>
      <mi mathvariant="normal" id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">Γ</mi>
      <mtext id="p1.1.m1.1.22" xref="p1.1.m1.1.22a.cmml">=</mtext>
      <mrow id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">
        <mo id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">{</mo>
        <mo id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">}</mo>
      </mrow>
    </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>
        <apply id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">
          <csymbol cd="ambiguous" id="p1.1.m1.1.25.1.cmml" xref="p1.1.m1.1.25">subscript</csymbol>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑔</ci>
          <apply id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">
            <times id="p1.1.m1.1.2.1.3.cmml" xref="p1.1.m1.1.2.1.3"/>
            <ci id="p1.1.m1.1.2.1.1.cmml" xref="p1.1.m1.1.2.1.1">𝜇</ci>
            <ci id="p1.1.m1.1.2.1.2.cmml" xref="p1.1.m1.1.2.1.2">𝜈</ci>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26">
          <csymbol cd="ambiguous" id="p1.1.m1.1.26.1.cmml" xref="p1.1.m1.1.26">subscript</csymbol>
          <apply id="p1.1.m1.1.26.2.cmml" xref="p1.1.m1.1.26">
            <csymbol cd="ambiguous" id="p1.1.m1.1.26.2.1.cmml" xref="p1.1.m1.1.26">subscript</csymbol>
            <eq id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5"/>
            <ci id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">𝜌</ci>
          </apply>
          <ci id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">;</ci>
        </apply>
        <cn type="integer" id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">0</cn>
        <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"></ci>
        <ci id="p1.1.m1.1.8b.cmml" xref="p1.1.m1.1.8">
          <mpadded width="-3.3pt" id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">
            <mtext id="p1.1.m1.1.8a.cmml" xref="p1.1.m1.1.8">f </mtext>
          </mpadded>
        </ci>
        <apply id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">
          <ci id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">¨</ci>
          <ci id="p1.1.m1.1.11.2.cmml" xref="p1.1.m1.1.11.2">u</ci>
        </apply>
        <ci id="p1.1.m1.1.14a.cmml" xref="p1.1.m1.1.14">
          <mtext id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14"> r </mtext>
        </ci>
        <apply id="p1.1.m1.1.27.cmml" xref="p1.1.m1.1.27">
          <csymbol cd="ambiguous" id="p1.1.m1.1.27.1.cmml" xref="p1.1.m1.1.27">superscript</csymbol>
          <apply id="p1.1.m1.1.27.2.cmml" xref="p1.1.m1.1.27">
            <csymbol cd="ambiguous" id="p1.1.m1.1.27.2.1.cmml" xref="p1.1.m1.1.27">subscript</csymbol>
            <ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">Γ</ci>
            <apply id="p1.1.m1.1.16.1.5.cmml" xref="p1.1.m1.1.16.1">
              <csymbol cd="latexml" id="p1.1.m1.1.16.1.5.1.cmml" xref="p1.1.m1.1.16.1.1">delimited-[]</csymbol>
              <apply id="p1.1.m1.1.16.1.6.cmml" xref="p1.1.m1.1.16.1.6">
                <times id="p1.1.m1.1.16.1.6.1.cmml" xref="p1.1.m1.1.16.1.6.1"/>
                <ci id="p1.1.m1.1.16.1.2.cmml" xref="p1.1.m1.1.16.1.2">𝜇</ci>
                <ci id="p1.1.m1.1.16.1.3.cmml" xref="p1.1.m1.1.16.1.3">𝜈</ci>
              </apply>
            </apply>
          </apply>
          <ci id="p1.1.m1.1.17.1.cmml" xref="p1.1.m1.1.17.1">𝛼</ci>
        </apply>
        <eq id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18"/>
        <cn type="integer" id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">0</cn>
        <ci id="p1.1.m1.1.20a.cmml" xref="p1.1.m1.1.20">
          <mtext id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20"> gilt </mtext>
        </ci>
        <csymbol cd="unknown" id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">Γ</csymbol>
        <ci id="p1.1.m1.1.22a.cmml" xref="p1.1.m1.1.22">
          <mtext id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">=</mtext>
        </ci>
        <cerror id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">
          <csymbol cd="ambiguous" id="p1.1.m1.1.2a.cmml" xref="p1.1.m1.1.2">fragments</csymbol>
          <ci id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">{</ci>
          <ci id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24">}</ci>
        </cerror>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle{{g}_{\mu\nu}}{{{}_{;}}_{\rho}}=0\to\text{f }\!\!%
\ddot{\mathrm{u}}\!\!\text{ r }\Gamma_{\left[\mu\nu\right]}^{\alpha}=0\text{ %
gilt }\Gamma\text{=}\left\{{}\right\}}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (1.455 KB / 408 B) :

gμν;ρ=0u¨ r Γ[μν]α=0 gilt Γ={}
<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>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi><mi>&#x03BD;</mi></mrow></mrow></msub></mstyle><msub><msub><mrow data-mjx-texclass="ORD"><mo>;</mo></mrow></msub><mrow data-mjx-texclass="ORD"><mi>&#x03C1;</mi></mrow></msub><mo>=</mo><mn>0</mn><mo accent="false">&#x2192;</mo><mrow data-mjx-texclass="ORD"><mtext>f&#xA0;</mtext></mrow><mspace width="-0.167em"></mspace><mspace width="-0.167em"></mspace><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">u</mi></mrow><mo>¨</mo></mover></mrow></mrow><mspace width="-0.167em"></mspace><mspace width="-0.167em"></mspace><mrow data-mjx-texclass="ORD"><mtext>&#xA0;r&#xA0;</mtext></mrow><msubsup><mi mathvariant="normal">&#x0393;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mi>&#x03BC;</mi><mi>&#x03BD;</mi><mo data-mjx-texclass="CLOSE">]</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msubsup><mo>=</mo><mn>0</mn><mrow data-mjx-texclass="ORD"><mtext>&#xA0;gilt&#xA0;</mtext></mrow><mi mathvariant="normal">&#x0393;</mi><mrow data-mjx-texclass="ORD"><mtext>=</mtext></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mo data-mjx-texclass="CLOSE">}</mo></mrow></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

  • gμν
  • ρ
  • u¨
  • Γ
  • μ
  • ν
  • α
  • Γ

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results