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Display information for equation id:math.2174.6 on revision:2174

* Page found: Transformationsverhalten der Ströme und Felder (eq math.2174.6)

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Transformationsverhalten der Ströme und Felder Eq: math.2174.6

Hash: fde297a154f1b44d3ad8baa6dbc8267e

TeX (original user input):

\begin{align}
& {{x}^{0}}\acute{\ }=\gamma \left( {{x}^{0}}-\beta {{x}^{1}} \right)\Leftrightarrow t\acute{\ }=\gamma \left( t-\frac{v}{{{c}^{2}}}{{x}^{1}} \right) \\
& {{x}^{1}}\acute{\ }=\gamma \left( {{x}^{1}}-\beta {{x}^{0}} \right)\Leftrightarrow {{x}^{1}}\acute{\ }=\gamma \left( {{x}^{1}}-vt \right) \\
& {{x}^{2}}\acute{\ }={{x}^{2}} \\
& {{x}^{3}}\acute{\ }={{x}^{3}} \\
\end{align}

TeX (checked):

{\begin{aligned}&{{x}^{0}}{\acute {\ }}=\gamma \left({{x}^{0}}-\beta {{x}^{1}}\right)\Leftrightarrow t{\acute {\ }}=\gamma \left(t-{\frac {v}{{c}^{2}}}{{x}^{1}}\right)\\&{{x}^{1}}{\acute {\ }}=\gamma \left({{x}^{1}}-\beta {{x}^{0}}\right)\Leftrightarrow {{x}^{1}}{\acute {\ }}=\gamma \left({{x}^{1}}-vt\right)\\&{{x}^{2}}{\acute {\ }}={{x}^{2}}\\&{{x}^{3}}{\acute {\ }}={{x}^{3}}\\\end{aligned}}

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\begin{aligned} x^{0} \overset{´}{} = γ (x^{0} - β x^{1}) \Leftrightarrow t \overset{´}{} = γ (t - \frac{v}{c^{2}} x^{1}) \\ x^{1} \overset{´}{} = γ (x^{1} - β x^{0}) \Leftrightarrow x^{1} \overset{´}{} = γ (x^{1} - v t) \\ x^{2} \overset{´}{} = x^{2} \\ x^{3} \overset{´}{} = x^{3} \end{aligned}

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$\overset{´}{}$

$γ$

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$β$

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$\overset{´}{}$

$γ$

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$c$

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$x$

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$γ$

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$x$

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$\overset{´}{}$

$γ$

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$x$

$\overset{´}{}$

$x$

$x$

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