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orthogonal_basis [2014/03/21 11:11] |
orthogonal_basis [2014/03/21 11:11] (current) |
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| + | ===== Orthogonal basis ===== | ||
| + | ==== Set ==== | ||
| + | | @#55CCEE: context | @#55CCEE: $V$...pre-Hilbert space | | ||
| + | | @#FFBB00: definiendum | @#FFBB00: $B\in \mathrm{OrthogonalBasis}(V)$ | | ||
| + | |||
| + | | @#55CCEE: context | @#55CCEE: $B\in \mathrm{Basis}(V)$ | | ||
| + | |||
| + | | $v,w\in B$ | | ||
| + | |||
| + | | @#55EE55: postulate | @#55EE55: $v\ne w\implies \langle v|w\rangle = 0 $ | | ||
| + | ==== Discussion ==== | ||
| + | ==== Parents ==== | ||
| + | === Subset of === | ||
| + | [[Vector space basis]] | ||
| + | === Context === | ||
| + | [[Pre-Hilbert space]] | ||
