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Display information for equation id:math.1255.129 on revision:1255
* Page found: Das d'Alembertsche Prinzip (eq math.1255.129)
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Hash: 25afb7d8e2f14dbe84ba9234516ac832
TeX (original user input):
\begin{align}
& T({{q}_{k}},{{{\dot{q}}}_{k}},t)=\frac{1}{2}\sum\limits_{i=1}^{N}{{{m}_{i}}{{\left( \sum\limits_{k=1}^{f}{\frac{\partial {{{\vec{r}}}_{i}}}{\partial {{q}_{k}}}{{{\dot{q}}}_{k}}+\frac{\partial {{{\vec{r}}}_{i}}}{\partial t}} \right)}^{2}}} \\
& T({{q}_{k}},{{{\dot{q}}}_{k}},t)=a+\sum\limits_{k=1}^{f}{{{b}_{k}}{{{\dot{q}}}_{k}}}+\sum\limits_{k,l=1}^{f}{{{c}_{kl}}{{{\dot{q}}}_{k}}{{{\dot{q}}}_{l}}} \\
\end{align}
TeX (checked):
{\begin{aligned}&T({{q}_{k}},{{\dot {q}}_{k}},t)={\frac {1}{2}}\sum \limits _{i=1}^{N}{{{m}_{i}}{{\left(\sum \limits _{k=1}^{f}{{\frac {\partial {{\vec {r}}_{i}}}{\partial {{q}_{k}}}}{{\dot {q}}_{k}}+{\frac {\partial {{\vec {r}}_{i}}}{\partial t}}}\right)}^{2}}}\\&T({{q}_{k}},{{\dot {q}}_{k}},t)=a+\sum \limits _{k=1}^{f}{{{b}_{k}}{{\dot {q}}_{k}}}+\sum \limits _{k,l=1}^{f}{{{c}_{kl}}{{\dot {q}}_{k}}{{\dot {q}}_{l}}}\\\end{aligned}}
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MathML (4.31 KB / 572 B) :
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