Sentence examples for generalized matrices from inspiring English sources

In the next section we will expound the semantics of abstract logics and generalized matrices that serves to develop a really general theory of the algebraization of logic systems.

These generalized matrices (and their corresponding abstract logics) are called full models.

The generalized matrices < A, B > that correspond to abstract logics have the properties that A ∈ B and that B is closed under intersections of arbitrary nonempty families.

The generalized matrices of the form < A, FiLA > are the basic full models of L. The interest in these models lead to a consideration of the class of generalized matrix that the quotient by its Tarski congruence is a basic full model.

In general, every generalized matrix < A, B > can be turned into a closed-set system by adding to B ∪ {A} the intersections of arbitrary nonempty families, and therefore into an abstract logic, which we denote by < A, C(B)>.

This paper investigates the generalized matrix projective synchronization problem of general colored networks with different-dimensional node dynamics.

Detailed derivation of a generalized matrix equation is given.

A generalized matrix is reduced if its Tarski congruence is the identity.

In a similar way the systematic study of bases for generalized matrix models of a logic becomes important.

The generalized matrix is composed of five sub-matrices: G=G_{text{iso}}+G_{C2Psi}+G_{S2Psi}+G_{C4Psi}+G_{S4Psi} (4).

The resulting generalized matrix eigenvalue problem is large, sparse and non-Hermitian.