Sentence examples for matrix and if from inspiring English sources

This is the latest offering from Andy and Larry Wachowski, bringers of "The Matrix," and, if it is about anything, it is about the quest to overwhelm a particular stratum of the masses.

Now we define the matrix and if we take, then it corresponds to the matrix.

However, it is well known that the Levenberg-Marquardt method has a quadratic rate of convergence when Jacobian is a nonsingular square matrix and if the parameter is chosen suitably at each step.

More generally, if A is a k × k interval matrix and if its columns are denoted by the interval vectors A 1, A 2, …, A k, then E ( AZ ) = E ( ∑ j = 1 k A i Z j ) = ∑ j = 1 k E ( A i Z j ) = ∑ j = 1 k A i E ( Z j ) = A E ( Z ).

By pre- and postmultiplying the left-hand side matrix in the above inequality by the matrix, respectively, and defining the matrix,,,, and, If we set then, and, and it can be concluded that the above matrix inequality is equivalent to (3.21).

In the likely case, that among the 20 co-regulated genes obtained from the SPELL database for a single hit genes showed up that were not in the hit list, a non-hit was included in the co-regulation matrix and if this non-hit was found co-regulated more often these co-regulated non-hits could obtain high levels of connectivity within our network.

A matrix A is called an M-matrix if there exist a nonnegative matrix B and a real number s > ρ ( B ) such that A = s I − B, where ρ ( B ) is the spectral radius of B. It is well known that A is an H-matrix if and only if μ ( A ) is an M-matrix, and if A is an M-matrix, then the Schur complement of A is also an M-matrix and det A > 0 (see [3]).

A matrix analogue of (1.1) is the following result of Bergstrom [3] (see also the article [4] and [5], p.67] for an interesting proof): If K and L are positive definite matrices, and if K i and L i denote the submatrices obtained by deleting their i th row and column, then det ( K + L ) det ( K i + L i ) ≥ det ( K ) det ( K i ) + det ( L ) det ( L i ).

Due to the significant difference between matrix and fractures, if imbibition is weak and no stimulation method is taken, oil in the matrix is hardly to be recovered and the reservoir will suffer a big recovery loss.

I pulled out of a copy of "The Matrix" and asked if she recognized the man on the cover.

Given constant symmetric matrices,,, and, then if and only if (2.5).