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orthonormal_basis [2013/09/01 00:11] nikolaj created |
orthonormal_basis [2014/03/21 11:11] |
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| - | ===== Orthonormal basis ===== | ||
| - | ==== Definition ==== | ||
| - | | @#88DDEE: $V$...pre-Hilbert space | | ||
| - | | @#FFBB00: $B\in \mathrm{OrthonormalBasis}(V)$ | | ||
| - | |||
| - | | @#88DDEE: $B\in \mathrm{OrthogonallBasis}(V)$ | | ||
| - | |||
| - | | $v\in B$ | | ||
| - | |||
| - | | @#55EE55: $\Vert v\Vert = 1 $ | | ||
| - | ==== Discussion ==== | ||
| - | ==== Context ==== | ||
| - | === Subset of === | ||
| - | [[Orthogonal basis]] | ||
