linear transformation


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linear transformation

n. Mathematics
A homomorphism from one vector space to another vector space, or possibly to itself.
Translations
lineaarteisendamine
linjär avbildninglinjär transformation
References in periodicals archive ?
Let A = UD be the polar decomposition of the linear transformation A on a unitary space of dimension n.
Thus it may be written in matrix form (3) [Mathematical Expression Omitted] The matrix T representing the linear transformation of the intrinsic sources is a function of the model parameters of the FET only.
Main round consist of four sequential steps, respectively, byte substitution (Sub Bytes), row shift (Shift Rows), linear transformation of columns (Mix Columns) and XOR with the round key (Add Round Key).
The first one we use to illustrate the meaning of the notions linear and affine map and to explain the role of the matrix of a linear transformation.
Aoki, On the stability of the linear transformation in Banach spaces, J.
7] is left invariant by the general linear transformation group [GL.
He admits that he might have scant justification for such imagination, but the midpoint map, when written in coordinates, is a linear transformation that is closely related to the heat equation.
It is advisable to use beta densities for different parameters defect level characterization in control system modeling, when linear transformation, also as in nonlinear transformation scheme, is used.
A weighted composition operator is a linear transformation acting on a set of complex valued [Sigma] mesurable functions of the form W[Florin] = w[Florin] [?
The opening chapters offer an introduction to language, logic, and mathematics; subsequent coverage includes vector space, subspace, span, linear independence, basis, dimension, linear transformation, eigenvalue, and eigenvector, as well as elementary numerical methods and the computational problems of linear algebra.
In analyzing the data, six main issues were chosen as the focus of inquiry: dot product; relationship between a linear transformation and its matrix; solving a system of linear equations; meaning, number, and nature of the solution to a system of linear equations; visualization; and linear thinking: properties of a linear transformation.
Linear transformed defect levels densities by different parameters are more simple than in case of linear transformation, but for all device, especially when parameters are increasing, it becomes more complicated because of integral intervals disjunction to separate intervals where density models become different.

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