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TeX (original user input): 

d{{\sigma }^{2}}={{\left( d{{x}^{1}} \right)}^{2}}+{{\left( d{{x}^{2}} \right)}^{2}}+{{\left( d{{x}^{3}} \right)}^{2}}={{\left( dx{{'}^{1}} \right)}^{2}}+{{\left( dx{{'}^{2}} \right)}^{2}}+{{\left( dx{{'}^{3}} \right)}^{2}}=d\sigma {{'}^{2}}

TeX (checked): 

d{{\sigma }^{2}}={{\left(d{{x}^{1}}\right)}^{2}}+{{\left(d{{x}^{2}}\right)}^{2}}+{{\left(d{{x}^{3}}\right)}^{2}}={{\left(dx{{'}^{1}}\right)}^{2}}+{{\left(dx{{'}^{2}}\right)}^{2}}+{{\left(dx{{'}^{3}}\right)}^{2}}=d\sigma {{'}^{2}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (15.23 KB / 1.973 KB) :

d σ 2 = ( d x 1 ) 2 + ( d x 2 ) 2 + ( d x 3 ) 2 = ( d x ) ′ 1 2 + ( d x ) ′ 2 2 + ( d x ) ′ 3 2 = d σ 2 ′ fragments d superscript 𝜎 2 superscript fragments ( d superscript 𝑥 1 ) 2 superscript fragments ( d superscript 𝑥 2 ) 2 superscript fragments ( d superscript 𝑥 3 ) 2 superscript fragments ( d x superscript superscript ) 1 ′ 2 superscript fragments ( d x superscript superscript ) 2 ′ 2 superscript fragments ( d x superscript superscript ) 3 ′ 2 d σ superscript superscript absent 2 ′ {\displaystyle{\displaystyle d{{\sigma}^{2}}={{\left(d{{x}^{1}}\right)}^{2}}+{% {\left(d{{x}^{2}}\right)}^{2}}+{{\left(d{{x}^{3}}\right)}^{2}}={{\left(dx{{{}^% {\prime}}^{1}}\right)}^{2}}+{{\left(dx{{{}^{\prime}}^{2}}\right)}^{2}}+{{\left% (dx{{{}^{\prime}}^{3}}\right)}^{2}}=d\sigma{{{}^{\prime}}^{2}}}}

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MathML (experimentell; keine Bilder) rendering

MathML (1.909 KB / 284 B) :

dσ2=(dx1)2+(dx2)2+(dx3)2=(dx'1)2+(dx'2)2+(dx'3)2=dσ'2

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