Sentence examples for matrix consequence operation from inspiring English sources

Logicians of this school also made precise many important metalogical concepts, including those of the logical matrix, consequence operation, deductive system and model.

He also contributed to general metamathematics (the theory of consequence operation) and intuitionistic logic.

If in addition C satisfies (3) we say that it is a finitary consequence operation.

In order to simplify the notation we denote this consequence operation by CL.

An L-abstract logic is a pair A = < A, C > where A is an L-algebra and C an abstract consequence operation on A. This definition has an equivalent in terms of the closed sets of C: an abstract logic A = < A, C > is a model of L if and only if for every C-closed set X the matrix < A, X > is a model of L (i.e. X is an L-filter).

Abstract consequence operations are known as closure operators in universal algebra and lattice theory, for instance.

Consequence operations are present not only in logic but in many areas of mathematics.

RVs, and the superscript T denotes the matrix transpose operation.

I denotes the unit matrix, ∗ denotes the complex conjugate operation, T denotes the matrix transposition operation, and H denotes the complex conjugate transposition operation.

For the scheme in [15], the major operations are the SVD of a N×K(K−2) matrix and a matrix inverse operation of two N×N matrices.

Direct concatenation was implemented by the matrix concatenation operation in Matlab.