Sentence examples for matrices by a from inspiring English sources

Based on the block diagonalization of circulant matrices by a Fourier transform, asymptotic convergence properties are analyzed rigorously.

Malathion as a test compound was extracted from different matrices by a rapid and convenient DLLME method.

We introduce the concept of "second order freeness" and interpret the global fluctuations of Gaussian and Wishart random matrices by a general limit theorem for second order freeness.

Effects of polymer-blend (alginate GG) ratios and crosslinker (CaCl2) concentrations on drug entrapment efficiency (DEE, %) and cumulative drug release after 8 h (Q8h, %) were studied to optimize the core matrices by a 32 factorial design.

Furthermore, the automatic translation of pseudo-distances to matrices by a Gaussian function might yield very small numbers for the long distances, which, in turn, may be ineffective in extracting the activity information between molecules.

Analog to Figure 2 we denote the partition matrices by (A = A_{P1} + A_{P2} + cdots+ A_{Pp}), where the global system matrix is the sum of all partition matrices.

Forni et al. (2011) gave a possible solution, using weighting of the genomic relationship matrix by the A matrix to eliminate singular matrices, if the number of loci is limited or two individuals have identical genotypes across all markers.

This is achieved through a posteriori testing, which compares each matrix to all other matrices by permuting a single matrix at a time.

Electrospinning produces highly aligned, cell-adhesive nanofiber matrices by applying a strong electric field to a polymer-containing solution.

Using these predictive maps, we generated spatial interpolations of the Q matrices by implementing a matrix based vector algorithm in the program TESS Ad-Mixer [ 33].

In the following, we construct arbitrary unimodular matrices by multiplying an upper and a lower triangular matrix (13).