Sentence examples for matrices with multiple from inspiring English sources

The authors of [15] developed the optimal relay amplifying matrices with multiple relay nodes.

We next give four kinds of examples for demonstrating that the resulting procedure can provide with tridiagonal matrices with multiple eigenvalues.

This paper presents an extended adjoint decoupling method together with a reference model-based sliding mode tracking method, to design a decoupling and tracking controller for continuous-time transfer function matrices with multiple (integer/fractional) time delays in both denominators and numerators.

Whether using fossil or molecular data, a daunting impediment to divergence time estimation in birds is that resolution of many inter-ordinal phylogenetic relationships has proven obstinate, despite large data matrices with multiple character types [ 53].

PHP programming language enables us to build the evaluation matrix with multiple dimensional arrays which contains vectors and sets.

Chen and Liu (2004) simulation represents the effect of elastic modulus and Poisson's ratios in the transverse plane, using a square matrix with multiple carbon nanotubes.

While KMHKS only adopts one kernel function, so a multi-kernel classification machine with reduced complexity named Nyström approximation matrix with multiple KMHKSs (NMKMHKS) has been developed.

However, this is not the case for a general multiple time-delay continuous-time transfer function matrix with multiple (integer/fractional) time delays in both the denominator and the numerator matrix.

Assuming a plane strain setting, the problem is formulated in the transverse plane as an infinite elastic matrix with multiple circular inhomogeneities subjected to a uniform far-field load.

Then, the modified Z-transform method is applied to the obtained discrete-time transfer function matrix to find an equivalent specific multiple time-delay continuous-time transfer function matrix with multiple time delays in only the inputs and outputs, for which the existing control and design methodologies and minimal realization techniques can be effectively applied.

Finally, to obtain a condensed input dataset for the BEAST analyses (see below), we built a combined plastid and ITS matrix with multiple accessions per species merged into a single consensus sequence using the "merge sequence" function in MacClade 4.08 [ 68], which resulted in 262 ingroup taxa (6274 nucleotides, 1% gaps, 65% missing data).