Category:Examples of Orthonormal Subsets
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This category contains examples of Orthonormal Subset.
Let $\struct {V, \innerprod \cdot \cdot}$ be an inner product space.
Let $S \subseteq V$ be a subset of $V$.
Then $S$ is an orthonormal subset (of $V$) if and only if:
- $(1): \quad \forall u \in S: \norm u = 1$
where $\norm {\, \cdot \,}$ is the inner product norm.
- $(2): \quad S$ is an orthogonal set:
- $\forall u, v \in S: u \ne v \implies \innerprod u v = 0$
Pages in category "Examples of Orthonormal Subsets"
The following 2 pages are in this category, out of 2 total.