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Display information for equation id:math.1447.118 on revision:1447
* Page found: Relativistische Formulierung der Elektrodynamik (eq math.1447.118)
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Hash: 673a83adeeb6650fb29e89055701d3f7
TeX (original user input):
\begin{align}
& \frac{d}{dt}{{p}^{1}}=q\left( {{E}^{1}}+{{v}^{2}}{{B}^{3}}-{{v}^{3}}{{B}^{2}} \right) \\
& =q\left( {{F}^{10}}+{{F}^{21}}\frac{1}{c}{{v}^{2}}-{{F}^{13}}\frac{1}{c}{{v}^{3}} \right) \\
& =\frac{q}{\gamma }\left( {{F}^{10}}\gamma +{{F}^{21}}\frac{\gamma }{c}{{v}^{2}}-{{F}^{13}}\frac{\gamma }{c}{{v}^{3}} \right)=\frac{q}{\gamma }{{F}^{1\mu }}{{u}_{\mu }} \\
\end{align}
TeX (checked):
{\begin{aligned}&{\frac {d}{dt}}{{p}^{1}}=q\left({{E}^{1}}+{{v}^{2}}{{B}^{3}}-{{v}^{3}}{{B}^{2}}\right)\\&=q\left({{F}^{10}}+{{F}^{21}}{\frac {1}{c}}{{v}^{2}}-{{F}^{13}}{\frac {1}{c}}{{v}^{3}}\right)\\&={\frac {q}{\gamma }}\left({{F}^{10}}\gamma +{{F}^{21}}{\frac {\gamma }{c}}{{v}^{2}}-{{F}^{13}}{\frac {\gamma }{c}}{{v}^{3}}\right)={\frac {q}{\gamma }}{{F}^{1\mu }}{{u}_{\mu }}\\\end{aligned}}
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MathML (3.511 KB / 462 B) :
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