Sentence examples for matrix are useful from inspiring English sources

Scaffolds composed of extracellular matrix are useful in many tissue engineering applications throughout the body.

As we shall show in Theorem 2, the extra dimensions that are available as a result of employing a full-column rank, strictly-tall precoding matrix are useful in designing the training vector.

The pattern of zero-off-diagonal elements from the main-diagonal in a concurrence matrix is useful in the identification of the distance in a polygonal design.

(2013a, b), the clustering method based on the NMF of the normalized adjacency matrix is useful for achieving this goal.

As the principal component analysis is based on Eigen values of correlation matrix, a detailed discussion on correlation matrix is useful in divergence or coherence of data.

For instance, adjacency matrix is useful for counting paths of certain length in a graph, number of spanning trees and connected components can be determined from the Laplacian, and the normalized Laplacian enables recognition of connected components and bipartite structures [32].

The close inspection of correlation matrix was useful because it can point out associations between variables that can show the overall coherence of the data set and indicate the participation of the individual chemical parameters, a fact which commonly occurred in hydrochemistry (Helena et al. 2000).

The combined data matrix was useful to resolve the deeper nodes and recovered mostly higher support values, providing greater phylogenetic resolution.

Deterministic sensing matrices are useful, because in practice, the sampler has to be a deterministic matrix.

These matrices are useful in avoiding and detecting unforeseen problems during both firewall implementation and firewall testing.

These results suggest that the peptide-HA matrices are useful as 2D and 3D matrices and can be applied for tissue engineering as a synthetic basement membrane.