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Display information for equation id:math.1255.117 on revision:1255
* Page found: Das d'Alembertsche Prinzip (eq math.1255.117)
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Hash: 0636857ac7a60fc8d82275c4d85cee08
TeX (original user input):
{{\dot{\bar{r}}}_{i}}=\sum\limits_{j=1}^{f}{\left( \frac{\partial {{{\bar{r}}}_{i}}}{\partial {{q}_{j}}} \right)}{{\dot{q}}_{j}}+\frac{\partial }{\partial t}{{\bar{r}}_{i}}=\sum\limits_{j=1}^{f}{\left( \frac{\partial }{\partial {{{\dot{q}}}_{j}}}{{{\vec{v}}}_{i}} \right)}{{\dot{q}}_{j}}+\frac{\partial }{\partial t}{{\bar{r}}_{i}}\Rightarrow \frac{d}{dt}\left( \frac{\partial {{{\bar{r}}}_{i}}}{\partial {{q}_{j}}} \right)=\frac{\partial }{\partial {{q}_{j}}}{{\vec{v}}_{i}}
TeX (checked):
{{\dot {\bar {r}}}_{i}}=\sum \limits _{j=1}^{f}{\left({\frac {\partial {{\bar {r}}_{i}}}{\partial {{q}_{j}}}}\right)}{{\dot {q}}_{j}}+{\frac {\partial }{\partial t}}{{\bar {r}}_{i}}=\sum \limits _{j=1}^{f}{\left({\frac {\partial }{\partial {{\dot {q}}_{j}}}}{{\vec {v}}_{i}}\right)}{{\dot {q}}_{j}}+{\frac {\partial }{\partial t}}{{\bar {r}}_{i}}\Rightarrow {\frac {d}{dt}}\left({\frac {\partial {{\bar {r}}_{i}}}{\partial {{q}_{j}}}}\right)={\frac {\partial }{\partial {{q}_{j}}}}{{\vec {v}}_{i}}
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