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vector_derivative [2016/12/29 16:35] nikolaj created |
vector_derivative [2016/12/29 16:42] nikolaj |
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| - | ===== Linear approximation ===== | + | ===== Vector derivative ===== |
| ==== Function ==== | ==== Function ==== | ||
| | @#55EE55: postulate | @#55EE55: $x$ | | | @#55EE55: postulate | @#55EE55: $x$ | | ||
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| + | >todo | ||
| ----- | ----- | ||
| === Discussion === | === Discussion === | ||
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| + | ${\bf x}(t)=\sum_{i=1}^nx^i(t){\bf e}_i(t)$ | ||
| + | |||
| + | $\dfrac{\partial }{\partial t}{\bf x}(t)=\sum_{i=1}^n\left(\left(\dfrac{\partial }{\partial t}x^i(t)\right){\bf e}_i(t)+x^i(t)\dfrac{\partial }{\partial t}{\bf e}_i(t)\right)$ | ||
| https://en.wikipedia.org/wiki/Fictitious_force | https://en.wikipedia.org/wiki/Fictitious_force | ||
