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Orthonormal basis

Definition

$V$…pre-Hilbert space
$B\in \mathrm{OrthonormalBasis}(V)$
$B\in \mathrm{Basis}(V)$
$v,w\in B$
$v\ne w\implies \langle v|w\rangle = 0 $
$\Vert v\Vert = 1 $

Discussion

Context

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