Jump to navigation Jump to search

General

Display information for equation id:math.1108.147 on revision:1108

* Page found: ART-Skript (eq math.1108.147)

(force rerendering)

Occurrences on the following pages:

Hash: 3434aa7278931359c4b61f24004e2c60

TeX (original user input): 

d{{s}^{2}}={{g}_{\mu \nu }}\left( x' \right)dx{{'}^{\mu }}dx{{'}^{\nu }}

TeX (checked): 

d{{s}^{2}}={{g}_{\mu \nu }}\left(x'\right)dx{{'}^{\mu }}dx{{'}^{\nu }}

LaTeXML (experimental; uses MathML) rendering

MathML (5.839 KB / 1.112 KB) :

d s 2 = g μ ⁢ ν ( x ′ ) d x d ′ μ x ν ′ fragments d superscript 𝑠 2 subscript 𝑔 𝜇 𝜈 fragments ( superscript 𝑥 ′ ) d x superscript superscript 𝑑 𝜇 ′ x superscript superscript absent 𝜈 ′ {\displaystyle{\displaystyle d{{s}^{2}}={{g}_{\mu\nu}}\left(x^{\prime}\right)% dx{{{}^{\prime}}^{\mu}}dx{{{}^{\prime}}^{\nu}}}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle d{{s}^{2}}={{g}_{\mu\nu}}\left(x^{\prime}\right)%&#10;dx{{{}^{\prime}}^{\mu}}dx{{{}^{\prime}}^{\nu}}}}" 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">d</mi>
      <msup id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">
        <mi id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">s</mi>
        <mn id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">2</mn>
      </msup>
      <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">=</mo>
      <msub id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">
        <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">g</mi>
        <mrow id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">
          <mi id="p1.1.m1.1.6.1.1" xref="p1.1.m1.1.6.1.1.cmml">μ</mi>
          <mo id="p1.1.m1.1.6.1.3" xref="p1.1.m1.1.6.1.3.cmml">⁢</mo>
          <mi id="p1.1.m1.1.6.1.2" xref="p1.1.m1.1.6.1.2.cmml">ν</mi>
        </mrow>
      </msub>
      <mrow id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">
        <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">(</mo>
        <msup id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">
          <mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">x</mi>
          <mo id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">′</mo>
        </msup>
        <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">)</mo>
      </mrow>
      <mi id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">d</mi>
      <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">x</mi>
      <mmultiscripts id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">
        <mi id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">d</mi>
        <mprescripts id="p1.1.m1.1.22a" xref="p1.1.m1.1.22.cmml"/>
        <none id="p1.1.m1.1.22b" xref="p1.1.m1.1.22.cmml"/>
        <mo id="p1.1.m1.1.13.1" xref="p1.1.m1.1.13.1.cmml">′</mo>
        <none id="p1.1.m1.1.22c" xref="p1.1.m1.1.22.cmml"/>
        <mi id="p1.1.m1.1.14.1" xref="p1.1.m1.1.14.1.cmml">μ</mi>
      </mmultiscripts>
      <mi id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">x</mi>
      <mmultiscripts id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">
        <mi id="p1.1.m1.1.23.2.2" xref="p1.1.m1.1.23.2.2.cmml"/>
        <none id="p1.1.m1.1.23a" xref="p1.1.m1.1.23.cmml"/>
        <mi id="p1.1.m1.1.18.1" xref="p1.1.m1.1.18.1.cmml">ν</mi>
        <none id="p1.1.m1.1.23b" xref="p1.1.m1.1.23.cmml"/>
        <mo id="p1.1.m1.1.17.1" xref="p1.1.m1.1.17.1.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">d</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>
          <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">𝑠</ci>
          <cn type="integer" id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">2</cn>
        </apply>
        <eq id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4"/>
        <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">subscript</csymbol>
          <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝑔</ci>
          <apply id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">
            <times id="p1.1.m1.1.6.1.3.cmml" xref="p1.1.m1.1.6.1.3"/>
            <ci id="p1.1.m1.1.6.1.1.cmml" xref="p1.1.m1.1.6.1.1">𝜇</ci>
            <ci id="p1.1.m1.1.6.1.2.cmml" xref="p1.1.m1.1.6.1.2">𝜈</ci>
          </apply>
        </apply>
        <cerror id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">
          <csymbol cd="ambiguous" id="p1.1.m1.1.3a.cmml" xref="p1.1.m1.1.3">fragments</csymbol>
          <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">(</ci>
          <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">superscript</csymbol>
            <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">𝑥</ci>
            <ci id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">′</ci>
          </apply>
          <ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">)</ci>
        </cerror>
        <csymbol cd="unknown" id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">d</csymbol>
        <csymbol cd="unknown" id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">x</csymbol>
        <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>
          <apply id="p1.1.m1.1.22.2.cmml" xref="p1.1.m1.1.22">
            <csymbol cd="ambiguous" id="p1.1.m1.1.22.2.1.cmml" xref="p1.1.m1.1.22">superscript</csymbol>
            <ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">𝑑</ci>
            <ci id="p1.1.m1.1.14.1.cmml" xref="p1.1.m1.1.14.1">𝜇</ci>
          </apply>
          <ci id="p1.1.m1.1.13.1.cmml" xref="p1.1.m1.1.13.1">′</ci>
        </apply>
        <csymbol cd="unknown" id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">x</csymbol>
        <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">superscript</csymbol>
          <apply id="p1.1.m1.1.23.2.cmml" xref="p1.1.m1.1.23">
            <csymbol cd="ambiguous" id="p1.1.m1.1.23.2.1.cmml" xref="p1.1.m1.1.23">superscript</csymbol>
            <csymbol cd="latexml" id="p1.1.m1.1.23.2.2.cmml" xref="p1.1.m1.1.23.2.2">absent</csymbol>
            <ci id="p1.1.m1.1.18.1.cmml" xref="p1.1.m1.1.18.1">𝜈</ci>
          </apply>
          <ci id="p1.1.m1.1.17.1.cmml" xref="p1.1.m1.1.17.1">′</ci>
        </apply>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle d{{s}^{2}}={{g}_{\mu\nu}}\left(x^{\prime}\right)%
dx{{{}^{\prime}}^{\mu}}dx{{{}^{\prime}}^{\nu}}}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (736 B / 282 B) :

ds2=gμν(x′)dx'μdx'ν
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>d</mi><msup><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>=</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi><mi>&#x03BD;</mi></mrow></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>x</mi><mo>&#x2032;</mo></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>d</mi><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msup><mi>d</mi><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msup></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

  • d
  • s
  • gμν
  • x′
  • d
  • x
  • μ
  • d
  • x
  • ν

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Retrieved from "http://physikerwelt.de:8080/w/index.php?title=Special:FormulaInfo"