inner product


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inner product

in′ner prod′uct


n.
the quantity obtained by multiplying the corresponding coordinates of each of two vectors and adding the products, equal to the product of the magnitudes of the vectors and the cosine of the angle between them. Also called dot product, scalar 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
References in periodicals archive ?
Then for each block, a dissimilar dictionary is learned by using the inner product approach.
The other topics are bases and dimension, linear transformations and matrices, elementary matrix operations, diagonalization, canonical forms, and inner product spaces.
i-op]} is the inner product of the row vector of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and the column vector of [{[U.
This is done choosing the space-dependent weighted Sobolev inner product definition when extracting the cost function gradient rather than the ordinary Hilbert inner product.
1] as [alpha], and if we take inner product both sides of (3.
CG and MINRES) because it allows to change the inner product implicitly.
The inner product inducing the norm of D is given by
Calculation of Jordan forms is followed by normed linear spaces, inner product spaces, orthogonality, and symmetric, Hermitian, and normal matrices.
Using a particularly nice inner product which is called the Whitney inner product and written by [<*,*>.
A data mining algorithm, called DCIP (the data cutting and inner product method), was developed to investigate associations between lifestyles and the metabolic syndrome.
Fujitsu Laboratories has developed a special way of ordering bit strings of data and then batch-encrypting the data, so that inner product (the sum of the product of each bit) calculations of bit strings required for statistical calculations or other processing can be performed at a batch level, with the data in its encrypted state.
Taking the inner product of above equation with [xi] and using equations (10), (11) and (12), we get