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Display information for equation id:math.1326.152 on revision:1326
* Page found: Der Hamiltonsche kanonische Formalismus (eq math.1326.152)
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Hash: 5438d3965e4a7db9b1dec868a88d2d9c
TeX (original user input):
\begin{align}
& {{M}_{1}}(\bar{q},\bar{Q},t): \\
& \Rightarrow {{p}_{j}}=\frac{\partial {{M}_{1}}}{\partial {{q}_{j}}} \\
& {{P}_{j}}=-\frac{\partial {{M}_{1}}}{\partial {{Q}_{j}}} \\
& \Rightarrow \frac{\partial {{p}_{j}}}{\partial {{Q}_{k}}}=\frac{{{\partial }^{2}}{{M}_{1}}}{\partial {{Q}_{k}}\partial {{q}_{j}}}=-\frac{\partial {{P}_{k}}}{\partial {{q}_{j}}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{M}_{1}}({\bar {q}},{\bar {Q}},t):\\&\Rightarrow {{p}_{j}}={\frac {\partial {{M}_{1}}}{\partial {{q}_{j}}}}\\&{{P}_{j}}=-{\frac {\partial {{M}_{1}}}{\partial {{Q}_{j}}}}\\&\Rightarrow {\frac {\partial {{p}_{j}}}{\partial {{Q}_{k}}}}={\frac {{{\partial }^{2}}{{M}_{1}}}{\partial {{Q}_{k}}\partial {{q}_{j}}}}=-{\frac {\partial {{P}_{k}}}{\partial {{q}_{j}}}}\\\end{aligned}}
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