Sentence examples for matrix with corresponding from inspiring English sources

Let μ i denote a diagonal matrix of eigenvalues and p i denote the matrix with corresponding eigenvectors of the discrete transition matrix at frequency i∈{m,q}.

According to Theorem 3.2, there exists an invertible matrix H, such that J=H^{-1}hat{E}^{d}hat{A}H= operatorname{diag}(J_{1}, J_{2}, ldots, J_{r}, mathbf{0}), (24) where (J_{i}), is a Jordan canonical form, (1leq i leq r), and 0 is a zero matrix with corresponding dimension.

Then there exists an invertible matrix H such that H^{-1}hat{E}^{d}hat{A}H=operatorname{diag}(J_{1},J_{2}, ldots, J_{r},mathbf{0}), (21) where (J_{i}, 1leq i leq r), are Jordan canonical forms and 0 is a zero matrix with corresponding dimension.

It is worth pointing out that the total computational complexity of CA is related with the iteration number, the size of S. In particular, each iteration requires to handle a singular value decomposition (SVD) of N T ×M dimension matrix with corresponding to computational complexity (O(M{N^{2}_{T}}+{N^{3}_{T}}))[24].

Otherwise, g usually is a rectangular zero-one matrix with corresponding rows deleted (represent the immeasurable states) from the identity matrix I n.

By identifying matrices with corresponding linear operators, [35, Lemma 3.3] gives begin{aligned} {text {Op}}(a) = D_{phi _1}circ A circ C_{phi _2}.

In the two figures, a set of gene expression profiles as a matrix with rows corresponding to genes and columns corresponding to patients is graphically represented.

The activity and abundance datasets were each organized into a matrix, with rows corresponding to enzymes and columns corresponding to studies.

These vectors were pooled from images of 20 cells for each labeling set (4 cells for each of the 5 treatments), and organized as a matrix with rows corresponding to pixels and five columns corresponding to the labeled components.

The data were then converted into a matrix, with rows corresponding to the features and columns corresponding to the different samples.

The model for standard 2-way PLS is created by representing the data as a matrix with columns corresponding to 12 spoligotype deletions and 12-loci MIRU with the additional indicator bit, and rows corresponding to MTBC strains.