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Orthonormal

In linear algebra, two vectors v and w are said to be orthonormal if they are both orthogonal and normalized. A set of vectors which are pairwise orthonormal is called an orthonormal set. A basis which forms an orthonormal set is called an orthonormal basis.

When referring to functions, usually the L²-norm is assumed unless otherwise stated, so that two functions and are orthonormal over the interval if

Unfortunately, the word normal is sometimes used synonymously with orthogonal.




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