orthonormal

created by rangek

(idea) by rangek (8.8 mon) (print) ? (I like it!) Sat Aug 05 2000 at 4:49:54

If we are talking about functions, they are orthonormal if the integral of their products is zero if they are different functions and one if they are the same.

If we are talking about vectors, they are orthonormal if the dot product is zero if they are different functions and one if they are the same.

In each case, all of the things are orthogonal to one another, and normalized.

(idea) by thax (2.6 y) (print) ? (I like it!) Wed Nov 29 2000 at 2:49:07

A subset A := (a_1, a_2, ..., a_n) of a Euclidean vector space V with inner product I is said to be orthonormal if every pair of vectors in A are orthogonal and I(a_i,a_i)= ||a_i|| = 1 for i=1,2,...,n.

orthogonal	Euclidean vector space	Bloodhound Gang	NURBS
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