Sentence examples for matrices thus allowing from inspiring English sources

We further extend the Chebyshev approximation to treat general functions of matrices, thus allowing its application to cases for which no analytical expressions of the expansion coefficients are available.

The QDC assumes that the classes are normally distributed with class specific covariance matrices, thus allowing a set of optimal discriminant functions to be obtained.

During angiogenesis, MMP9 is secreted by endothelial cells to degrade the extracellular matrix, thus allowing ECs to migrate and form new blood vessels [ 81].

It is implemented as a matrix-free method, thus allowing high-dimensional applications.

Hence, no linear absorption can occur when the matrix is irradiated, thus allowing the laser beam to penetrate deeply inside the material.

The material Jacobian matrix is fully defined, thus allowing a full implicit material model to be implemented.

Cohesive elements are placed at the interfaces between solid elements to represent matrix cracks and delamination, thus allowing the natural coupling between these two damage modes to be represented.

Furthermore, they converted the MIMO channel matrix into SISO channels, thus allowing a simplified resource allocation as in the SISO case.

To complete GHOST's pairwise node score matrix and thus allow for it to be given as input into MI-GRAAL's AS, we assign a score equal to the highest distance score returned by GHOST to all node pairs for which GHOST did not return a distance score.

They are involved in the proteolysis of the basement membrane by constitutively secreting extracellular matrix degrading enzymes, namely matrix metalloproteinase 9 (MMP-9), thus allowing for endothelial cell invasion.

In this unique hierarchical architecture, the 3D rGO serve as interconnected porous matrices that are highly conductive, thus allowing the hybrid electrode to realize fast ionic and electronic transportation.