Sentence examples for matrix thus the from inspiring English sources

The oxygen-containing molecules penetrate deeply inside the matrix, thus the ablation by oxidation is accelerated.

The coefficient vector of the random effect terms is b j  ~ MN (0,D), and D is assumed to be a diagonal matrix; thus, the random effects are assumed not to be correlated with each other.

In this case, the resulting matrix is an M-matrix, thus the linear system is invertible.

We show the existence of a characteristic length scale that maximizes the transfer of the elastic energy from the fibers to the matrix, thus reducing the fibers solicitation and enhancing the overall mechanical response.

Each element of the matrix thus reports the odds of observing the value of the relative coexpression between tissue pairs as low or lower, when a gene subset is randomly selected from the genome.

The row totals are then distributed among the elements of each row in proportion to the corresponding elements of the P matrix, thus providing the initial matrix B*, the starting point for the procedure.

Too large a radius does not adversely affect the results but reduces the sparseness of the matrix, thus increasing the computation required.

Factor release rate from the scaffold was correlated with the equilibrium binding constants of the factors to the matrix, thus enabling the sequential delivery of VEGF, PDGF-BB and TGF-β1.

The LDH matrix thus improves the stability of the anions because it provides protection for the intercalated anions against thermal combustion.

The weights of the adjacency matrix thus represent the number of connections between the parcellated regions.

The latter affects the shape recovery strain through strengthening the matrix thus reducing the martensite strain which is more predominant under low constraint stresses.