In particular, every orthonormal set of vectors is isotropic.
2.
By the spectral theorem, there is a complete orthonormal set of eigenfunctions in with
3.
The spherical harmonic functions form a complete orthonormal set of functions in the sense of Fourier series.
4.
The spherical harmonics are an orthonormal set of eigenfunctions used in many areas of math and physics, including quantum mechanics and electromagnetics.
5.
*PM : every orthonormal set is linearly independent, id = 4169-- WP guess : every orthonormal set is linearly independent-- Status:
6.
*PM : every orthonormal set is linearly independent, id = 4169-- WP guess : every orthonormal set is linearly independent-- Status:
7.
If we go on to Hilbert spaces, a non-orthonormal set of vectors having the same linear span as an orthonormal basis may not be a basis at all.
8.
Therefore, using the first theorem, the characters of irreducible representations of G form an orthonormal set on L ^ 2 ( G ) with respect to this inner product.
9.
With the set of functions { \ \ phi _ j ( x ) } an orthonormal set over the interval of interest, : see also Fej�r's theorem.
10.
A system of vectors satisfying the first two conditions basis is called an orthonormal system or an orthonormal set ( or an orthonormal sequence if " B " is countable ).
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