Science Fair Project Encyclopedia
Orthogonal functions
In mathematics, two functions f and g
are orthogonal if their inner product
is zero. Whether or not two particular
functions are orthogonal depends on how their inner product has
been defined. A typical definition of an inner product for functions
is
with appropriate integration boundaries. See also Hilbert space for more background.
Solutions of linear differential equations with boundary conditions can often be written as a weighted sum of orthogonal solution functions (a.k.a. eigenfunctions).
Examples of sets of orthogonal functions:
See also: orthogonal polynomials.
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details