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Display information for equation id:math.1110.309 on revision:1110
* Page found: ART-Skript (eq math.1110.309)
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Hash: 49e4bacd291b5441892335243e7e1cea
TeX (original user input):
\begin{align}
& d{{s}^{2}}={{g}_{\mu \nu }}dx{{'}^{\mu }}dx{{'}^{\nu }} \\
& d\tau =\frac{1}{c}\sqrt{{{g}_{\mu \nu }}dx{{'}^{\mu }}dx{{'}^{\nu }}} \\
& =\frac{1}{c}\sqrt{{{g}_{\mu \nu }}\frac{dx{{'}^{\mu }}}{dt'}\frac{dx{{'}^{\nu }}}{dt'}}dt=\sqrt{{{g}_{00}}}dt'
\end{align}
TeX (checked):
{\begin{aligned}&d{{s}^{2}}={{g}_{\mu \nu }}dx{{'}^{\mu }}dx{{'}^{\nu }}\\&d\tau ={\frac {1}{c}}{\sqrt {{{g}_{\mu \nu }}dx{{'}^{\mu }}dx{{'}^{\nu }}}}\\&={\frac {1}{c}}{\sqrt {{{g}_{\mu \nu }}{\frac {dx{{'}^{\mu }}}{dt'}}{\frac {dx{{'}^{\nu }}}{dt'}}}}dt={\sqrt {{g}_{00}}}dt'\end{aligned}}
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MathML (2.766 KB / 430 B) :
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