Differences
This shows you the differences between two versions of the page.
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orthonormal_basis [2013/09/01 00:11] nikolaj created |
orthonormal_basis [2013/09/01 00:12] nikolaj |
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| Line 5: | Line 5: | ||
| | @#FFBB00: $B\in \mathrm{OrthonormalBasis}(V)$ | | | @#FFBB00: $B\in \mathrm{OrthonormalBasis}(V)$ | | ||
| - | | @#88DDEE: $B\in \mathrm{OrthogonallBasis}(V)$ | | + | | @#88DDEE: $B\in \mathrm{Basis}(V)$ | |
| - | | $v\in B$ | | + | | $v,w\in B$ | |
| + | | @#55EE55: $v\ne w\implies \langle v|w\rangle = 0 $ | | ||
| | @#55EE55: $\Vert v\Vert = 1 $ | | | @#55EE55: $\Vert v\Vert = 1 $ | | ||
| ==== Discussion ==== | ==== Discussion ==== | ||
