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Display information for equation id:math.2170.7 on revision:2170

* Page found: Transformationsverhalten der Ströme und Felder (eq math.2170.7)

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Transformationsverhalten der Ströme und Felder Eq: math.2174.7

Hash: 8996aa031ee02454819d03f8b138e3c6

TeX (original user input):

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

TeX (checked):

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

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MathML (3.271 KB / 473 B) :

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

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