Orthogonal functions

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orthogonal functions

A set of functions, any two of which, by analogy to orthogonal vectors, vanish if their product is summed by integration over a specified interval.

For example, f(x) and g(x) are orthogonal in the interval x = a to x = b if
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The functions are also said to be normal if
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The most familiar examples of such functions, many of which have great importance in mathematical physics, are the sine and cosine functions between zero and 2π.


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