Sentence examples for matrices of and from inspiring English sources

In (9), for MPCA,,, and are calculated as the eigenvector matrices of,, and, respectively.

In similar ways, for MDA,,, and can be calculated as the eigenvector matrices of,, and, respectively.

Then, we can see that the Gram matrices of and are identical since (4).

where is the covariance matrix of, and are the cross-covariance matrices of and, and is the covariance matrix of.

The artists fractured depth illusion into matrices of bumps and hollows and, with collage, dramatized stuff-ness.

Conclusions: 2matrix efficiently codes indels and concatenates matrices of sequences and non-molecular data.

D S and D G are the degree matrices of S and G.

The matrix permutation tests (Table 11) indicated that the VCV matrices of karyotypes and crosses were never significantly correlated with the VCV matrices of FA and measurement error.

Next, let be the graph Laplacian matrix of which is defined as, where is the degree matrix of, and.

Let be the adjacency matrix of and let be the number of neighbors of.

Let be the adjacency matrix of, and let be its eigenvalues.