Sentence examples for in matrices of the form from inspiring English sources

Entries in matrices of the form T α  and T ε are computed exactly as done in lines 6 and 7 of Algorithm 1, respectively.

The computation of each entry in matrices T ε and S ε and in matrices of the form T α and S α takes O time, due to Equations 1, 4, 2, and 5, respectively.

In the first stage, the algorithm computes rows and columns j in all matrices of the form T′ α, T α, and T ε.

The D-discreteness proofs for computed sub-matrices in all matrices of the form T′ α, T α, T ε, S′ α, S α, S ε  (as well as for the transformed matrix tr (S α )) are obtained similarly.

The latter may result in a pick matrix of the form: Open image in new window (11)We consider such a weighted specification in the robustness checks in Sect.

The function is a diagonal matrix of the form shown in (15), represents the conjugate transpose of the matrix element, and stands for the symbol SNR: (15).

Also, the secondary phase may present in the matrix in the form of large particles after FSP as there is no control over the breakdown of the layers during the process.

On this basis in Section 3 we obtain necessary and sufficient conditions of nonpositivity/nonnegativity of elements in th row of Green's matrices in the form of theorems about differential inequalities.

A class of parametric transforms that are based on unified representation of transform matrices in the form of sparse matrix products is described.

The cardinality of the set of matrices in the form given by (10), verifying g3,2∙g3,1∙g3,0 ≠ 0 is NG 3 × 2 × 2 = 411 − 48, i.e. over 4 million.

To obtain the ASE of (10) and (21), an intuitive approach is first to derive the asymptotic eigenvalue distribution of the matrices in the form of HH H Σ-1.