Sentence examples for matrix and established from inspiring English sources

Connor [8] has further extended this definition to a definition of strong A-summability with respect to a modulus, where A = ( a m k ) is a non-negative regular matrix, and established some connections between strong A-summability with respect to a modulus and A-statistical convergence.

Connor[16] further extended this definition to a definition of strong A- summability with respect to a modulus, where A = (an,k) is a non-negative regular matrix, and established some connections between strong A- summability, strong A- summability with respect to a modulus, and A- statistical convergence.

After positioning and switching to normal culture medium, the hepatocytes start to attach to the collagen matrix and establish first contacts with neighboring cells (Fig.  19).

Rif1 is thought to perform this role by attaching certain chromatin segments to the nuclear matrix and establishing restricted access to the Rif1-bound segments for replication factors in early S phase [ 52, 53].

Previous results derived an iterative algorithm that computes the required feedback matrices, and established conditions under which this procedure is possible.

Steiner and Xue [21] investigated the Max-TSP on van der Veen matrices and established that the problem stays NP-hard even on the class of distance matrices which satisfy both the van der Veen and Demidenko conditions.

Recently, Chen et al. [15] extended the traditional condition equation to the arbitrary matrix equation and established the rational solutions and complexitons in terms of double Wronskian forms for the AKNS system.

We then express our solutions in terms of oblique projection matrices and establish the geometry of our constrained minimizations.

It determines eigenvalues for random data matrices and establishes a cut-off (above 95%% based on random data) to retain relevant factors only, i.e. those that capture more common variance between the items than expected purely by chance.

Primed (+O2+GF) microgel-entrapped cells secreted a large variety of angiogenesis-related proteins and produced endogenous extracellular-matrix, rich in fibronectin and collagen type I, fostering cell-cell/cell-matrix interactions and establishing a stable angiogenic niche.

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.