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Display information for equation id:math.1107.141 on revision:1107

* Page found: ART-Skript (eq math.1107.141)

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Hash: fea6e4d6fd2307cc3b7c95849f4eb90e

TeX (original user input):

\begin{align}
  & d{{s}^{2}}=d{{r}^{2}}+{{r}^{2}}d{{\varphi }^{2}} \\ 
 & ={{g}_{\mu \nu }}\left( x' \right)dx{{'}^{\mu }}dx{{'}^{\nu }}  
\end{align}

TeX (checked):

{\begin{aligned}&d{{s}^{2}}=d{{r}^{2}}+{{r}^{2}}d{{\varphi }^{2}}\\&={{g}_{\mu \nu }}\left(x'\right)dx{{'}^{\mu }}dx{{'}^{\nu }}\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (1.235 KB / 363 B) :

ds2=dr2+r2dφ2=gμν(x)dx'μdx'ν
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>d</mi><msup><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">=</mo><mi>d</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>d</mi><msup><mi>φ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mi>ν</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>μ</mi></mrow></msup><mi>d</mi><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup></mtd></mtr></mtable></mstyle></mrow></math>

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Identifiers

  • d
  • s
  • d
  • r
  • r
  • d
  • φ
  • gμν
  • x
  • d
  • x
  • μ
  • d
  • x
  • ν

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