# Differences

This shows you the differences between two versions of the page.

 orthonormal_basis [2013/09/01 00:11]nikolaj created orthonormal_basis [2014/03/21 11:11] (current) 2013/09/01 00:12 nikolaj 2013/09/01 00:11 nikolaj created Next revision Previous revision 2013/09/01 00:12 nikolaj 2013/09/01 00:11 nikolaj created Line 1: Line 1: ===== Orthonormal basis ===== ===== Orthonormal basis ===== - ==== Definition ​==== + ==== Set ==== - | @#88DDEE: $V$...pre-Hilbert space | + | @#55CCEE: context ​    | @#55CCEE: $V$...pre-Hilbert space | - | @#FFBB00: $B\in \mathrm{OrthonormalBasis}(V)$ | + | @#FFBB00: definiendum ​| @#FFBB00: $B\in \mathrm{OrthonormalBasis}(V)$ | - | @#88DDEE: $B\in \mathrm{OrthogonallBasis}(V)$ | + | @#55CCEE: context ​    | @#55CCEE: $B\in \mathrm{Basis}(V)$ | - | $v\in B$ | + | $v,w\in B$ | - | @#55EE55: $\Vert v\Vert = 1$ | + | @#55EE55: postulate ​  | @#55EE55: $v\ne w\implies \langle v|w\rangle = 0$ | + | @#55EE55: postulate ​  | @#55EE55: $\Vert v\Vert = 1$ | ==== Discussion ==== ==== Discussion ==== - ==== Context ​==== + ==== Parents ​==== === Subset of === === Subset of === [[Orthogonal basis]] [[Orthogonal basis]]