Incomplete Orthogonal Sets
Given a Hilbert space H and a set S of mutually orthogonal vectors in H, we can take the smallest closed linear subspace V of H containing S. Then S will be an orthogonal basis of V; which may of course be smaller than H itself, being an incomplete orthogonal set, or be H, when it is a complete orthogonal set.
Read more about this topic: Orthonormal Basis
Famous quotes containing the words incomplete and/or sets:
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—Georges Bataille (1897–1962)
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it makes us invisible,
it sets us apart,
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but from the visible
there is no escape.”
—Hilda Doolittle (1886–1961)