Sentence examples for matrix representations of from inspiring English sources

Second, in light of the fact that the relational matrix is a representable matrix of the matroid induced by an equivalence relation, matrix representations of lower and upper approximations are obtained with the representable matrix of the matroid.

Matrix representations of the document-document and entity-entity similarity matrices (left) and the corresponding network representations of the entity and document projections (right).

The methods use the matrix representations of the degree reduction and degree raising.

The matrix representations of classical and non-classical kinematic and constitutive relations are obtained first.

Then, on the basis of matrix representations of symmetry operations, the equivalence of the nodes and members of a structure is evaluated.

Difficulties in coding algorithms to analyze stabilities, rooted in their logical representation, led to the development of matrix representations of preference and explicit matrix calculations to determine stabilities.

The Supertree Toolkit 2 (STK)50 was used to standardise these sources and to produce a single matrix representation of their structure using group inclusion characters51.

Matrix representation of the solution procedure allows convenient expression as a standard fixed-point iteration.

We study the Singular Value Decomposition (SVD) of the three building blocks of the matrix representation of two-channel orthogonal filter banks.

A matrix representation of operators with respect to a nice wavelet base plays an important role in the formulation.

For further improvement, we make use of Gaussian elimination concept to perform specification polynomial reduction w.r.t Groebner basis using a matrix representation of the problem.