Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision | ||
|
vector_derivative [2016/12/29 16:39] nikolaj |
vector_derivative [2016/12/29 16:42] nikolaj |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| - | ===== Linear approximation ===== | + | ===== Vector derivative ===== |
| ==== Function ==== | ==== Function ==== | ||
| | @#55EE55: postulate | @#55EE55: $x$ | | | @#55EE55: postulate | @#55EE55: $x$ | | ||
| Line 8: | Line 8: | ||
| === Discussion === | === Discussion === | ||
| - | ${\bf x}(t)=\sum_{i=1}^nx^i(t)e_i(t)$ | + | ${\bf x}(t)=\sum_{i=1}^nx^i(t){\bf e}_i(t)$ |
| - | $\dfrac{\partial }{\partial t}{\bf x}(t)=\sum_{i=1}^n\left(\left(\dfrac{\partial }{\partial t}x^i(t)\right)e_i(t)+x^i(t)\dfrac{\partial }{\partial t}e_i(t)\right)$ | + | $\dfrac{\partial }{\partial t}{\bf x}(t)=\sum_{i=1}^n\left(\left(\dfrac{\partial }{\partial t}x^i(t)\right){\bf e}_i(t)+x^i(t)\dfrac{\partial }{\partial t}{\bf e}_i(t)\right)$ |
| https://en.wikipedia.org/wiki/Fictitious_force | https://en.wikipedia.org/wiki/Fictitious_force | ||
