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* Page found: ART-Skript (eq math.1110.145)

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TeX (original user input): 

\begin{align}
  & d{{s}^{2}}={{\left( d{{x}^{0}} \right)}^{2}}-{{\left( d{{x}^{1}} \right)}^{2}}-{{\left( d{{x}^{2}} \right)}^{2}}-{{\left( d{{x}^{3}} \right)}^{2}} \\
 & ={{\eta }_{\mu \nu }}d{{x}^{\mu }}d{{x}^{\nu }}
\end{align}

TeX (checked): 

{\begin{aligned}&d{{s}^{2}}={{\left(d{{x}^{0}}\right)}^{2}}-{{\left(d{{x}^{1}}\right)}^{2}}-{{\left(d{{x}^{2}}\right)}^{2}}-{{\left(d{{x}^{3}}\right)}^{2}}\\&={{\eta }_{\mu \nu }}d{{x}^{\mu }}d{{x}^{\nu }}\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (16.977 KB / 1.959 KB) :

d ⁢ s 2 = ( d ⁢ x 0 ) 2 - ( d ⁢ x 1 ) 2 - ( d ⁢ x 2 ) 2 - ( d ⁢ x 3 ) 2 = η μ ⁢ ν ⁢ d ⁢ x μ ⁢ d ⁢ x ν missing-subexpression 𝑑 superscript 𝑠 2 superscript 𝑑 superscript 𝑥 0 2 superscript 𝑑 superscript 𝑥 1 2 superscript 𝑑 superscript 𝑥 2 2 superscript 𝑑 superscript 𝑥 3 2 missing-subexpression absent subscript 𝜂 𝜇 𝜈 𝑑 superscript 𝑥 𝜇 𝑑 superscript 𝑥 𝜈 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle d{{s}^{2}}={{\left(% d{{x}^{0}}\right)}^{2}}-{{\left(d{{x}^{1}}\right)}^{2}}-{{\left(d{{x}^{2}}% \right)}^{2}}-{{\left(d{{x}^{3}}\right)}^{2}}\\ &\displaystyle={{\eta}_{\mu\nu}}d{{x}^{\mu}}d{{x}^{\nu}}\end{aligned}}}

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MathML (experimentell; keine Bilder) rendering

MathML (1.886 KB / 369 B) :

ds2=(dx0)2−(dx1)2−(dx2)2−(dx3)2=ημνdxμdxν

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  • s
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  • ημν
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  • μ
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  • ν

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