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inner product
(redirected from Inner product space)

   Also found in: Acronyms, Encyclopedia, Wikipedia 0.01 sec.
inner product
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Noun1.inner product - a real number (a scalar) that is the product of two vectors
real, real number - any rational or irrational number


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d]) as a real inner product space with inner product (S, T) = ([phi](S), [phi](T)) = Tr([phi](S)[phi](T)').
The authors (both professors of mathematics at the Rose- Hulman Institute of Technology) develop the mathematical framework of vector and inner product spaces upon which signal and image processing depends; develop traditional Fourier-based transform techniques, primarily in the discrete case, but also somewhat in the continuous setting; and provide entry-level material on filtering, convolution, filter banks, and wavelets.
2] can be turned into an inner product space by defining [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], and extending by linearity.
 
 
 
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