Category:Definitions/Orthonormal Sets
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This category contains definitions related to Orthonormal Sets.
Related results can be found in Category:Orthonormal Sets.
Let $I$ be an indexing set.
Let $S := \family {\map {\phi_i} x}_{i \mathop \in I}$ be an indexed family of real functions all of which are integrable over the interval $\openint a b$.
Let $S$ have the property that:
- $\forall m, n \in I: \ds \int_a^b \map {\phi_m} x \map {\phi_n} x \rd x = \delta_{m n}$
where $\delta_{m n}$ denotes the Kronecker delta.
Then $S$ is defined as orthonormal.
Pages in category "Definitions/Orthonormal Sets"
The following 2 pages are in this category, out of 2 total.