Sentence examples for matrix and represents from inspiring English sources

The co-polymerization method was found to afford a good control of the metal concentration in the polymer matrix and represents a good technique for preparing electronically conductive polymers containing redox-active metal complexes.

where represents the covariance matrix and represents the vector of the average received powers (in dB) from the BS at the MS, from the BS at the RS, and, respectively, from the RS at the relayed MS as follows: (3).

where is the precoding weight matrix and represents the channel between the transmitter and the desired receiver, which is an block diagonal matrix with (see (5)) as the block diagonal elements.

For these studies the cells were plated on a thick deformable layer of collagen-I because this substrate mimics aspects of a true 3D matrix and represents a more physiologic environment for studies of melanoma cell migration [1].

I p is the p-dimensional identity matrix and represents the proportion of the genetic variance contributed by each individual SNP.

The edge matrix is a (sparse) N × N matrix and represents the relation between pairs of vertices, where A ij is a weight w ij if the ith vertex is connected to the jth vertex and 0 otherwise.

Macropores were organized into bundles of channels, up to 20 μm wide, in the dl-PLGA matrix and represented remnants of acetic acid that crystallized during solidification.

This step results in the trajectory matrix X, which is also a Hankel matrix and takes the form: X = [ X 1, …, X K ] = (x ij ) i, j = 1 L, K. Next we obtain the singular value decomposition (SVD) of the trajectory matrix and represent it as a sum of rank-one bi-orthogonal elementary matrices.

The delayed matrix exponential equals a unit matrix on and represents a fundamental matrix of a homogeneous system with a single delay.

The approach uses the strictly positive realness (SPRness) of some transfer functions, as a tool to decouple the controller parameters and the Lyapunov matrices and represent the stability conditions and the performance criteria by a set of linear matrix inequalities.

The generated code vector (C) after RS encoding can be represented as C=VD, where V is the Vandermonde matrix and D represents message data vector.