Sentence examples for matrices we establish from inspiring English sources

To deal with different matrices, we establish an algorithm via applying block coordinate descent and Majorization Minimization techniques.

By virtue of two complex scaling matrices, we establish a link between real chaos and complex chaos.

Based on the Takagi factorization of complex symmetric matrices, we establish an explicit representation for the solution of the neural network and analyze its convergence property.

Under assumption that the corresponding homogeneous system is exponentially dichotomous on the semiaxes and and by using the theory of pseudoinverse matrices, we establish necessary and sufficient conditions for the indicated problem.

On the hypothesis that the th moments of the Hardy -function are correctly predicted by random matrix theory and the moments of the derivative of are correctly predicted by the derivative of the characteristic polynomials of unitary matrices, we establish new large spaces between the zeros of the Riemann zeta-function by employing some Wirtinger-type inequalities.

To visualize LPS accumulation in the cartilage matrix, we established high-density cultures and treated them with LPS (100 ng/ml) for 3, 5, 7 and 10 days.

Using a 1% (wt/v) gelatin-coated matrix, we established a simple culture system for production of large quantities of early-stage BM-MSCs.

To construct this matrix, we established orthology of genes using the OrthologID platform first (Chiu et al. 2006) http://nypg.bio.nyu.edu/orthologid, which uses an automated approach to sort query sequences into gene family membership and determines sets of orthologs from the gene trees.

In this paper, by reformulating the complementarity problem (1) as an implicit fixed point equation based on splittings of the system matrix A, we establish an accelerated modulus-based matrix splitting iteration algorithm and show the convergence analysis when the involved matrix of the WNCP is a P-matrix.

For an M-matrix B, we establish some new inequalities on the bounds for (tau(B)).

We do not assume the symmetry of the connection matrix and we establish that the system admits a unique equilibrium point in which the output functions do not satisfy the Lipschitz conditions and do not require them to be differential or strictly monotonously increasing.