Sentence examples for matrices and all from inspiring English sources

As mentioned before, times are given for the computation of co-occurrence matrices and all features for each method.

Note that (A_{dn}=M_{n}M_{n}^{T}) positive definite matrices, and all of the eigenvalues of (M_{n}M_{n}^{T}) are positive.

It can be seen that all the matrices of four indexes are symmetric matrices, and all their diagonal elements are equal to zero.

It implies that both (M_{n}M_{n}^{T}) and (widetilde{M}_{n}widetilde{M}_{n}^{T}) are positive definite matrices, and all of eigenvalues of (M_{n}M_{n}^{T}) and (widetilde{M}_{n}widetilde{M}_{n}^{T}) are positive.

It is easy to show that (hat{A}_{1}, hat{A}_{2}, ldots, hat{A}_{k}) are all nonnegative irreducible matrices, and all the row sums of (hat{A}_{1},hat{A}_{2}, ldots, hat{A}_{k}) are equal to (rho(A_{1}),rho(A_{2}),ldots,rho(A_{k})), respectively.

Mean PRIAL values across all cases for individual covariance matrices and all penalties considered are summarized in Table 1 for a sample size of s = 100.

Surface analyses showed that the dopants are present as a separate phase in the UO2 matrix and all oxides are non-stoichiometric and contain a large number of defect clusters.

The matrix E becomes the unit diagonal matrix, and all diagonal elements are 1.

The same process is repeated for all pairwise comparison matrixes and all rows of relationships matrix are filled out in the HOQ matrix.

where the equality holds if and only if ( M 1 † M 1 ) − 1 is a diagonal matrix and all elements on the diagonal are equal to 1/(4K) [11] 11].

Given an input file in PDF format, the program yields three different files in GJF format, text file containing computed bond matrix and all molecules in SDF format.