Sentence examples for matrices which need from inspiring English sources

Unlike traditional randomized gossip algorithms, push-sum mechanism based BMGA preserves the sums and weights, and admits stochastic diffusion matrices which need not be doubly stochastic.

From the computational point of view, the most complex operation in this algorithm is related with the calculation of the covariance and correlation matrices which need to be compared in order to determine the number of endmmebers.

The results are large time-varying matrices, which needs to be properly visualized.

MMP-2 has many functions beyond the extracellular matrix which need to be revealed.

This is motivated by the fact that the matrix which needs to be inversed in RZF or MMSE precoding is a positive definite Hermitian matrix and tends to be diagonal dominant in massive MIMO systems [1], which provides the potential to utilize the Cholesky-Decomposition [11] and Sherman-Morrison lemma [12].

Some formulas are given in order to obtain the matrix J, which need not be symmetric, by using the GSF and the structure of the GSF is studied.

Notice that the activity profiles of regulators are principal eigenvectors of different covariance matrices, which necessarily need not be, and, indeed they are not, orthogonal to each other.

Let us give the definition of some triangle limitation matrices which are needed in the text.

As shown in Equation 90, the solution is obtained by a simple matrix inversion unlike the other methods which need an eigendecomposition.This difference of BER performance between the constraints studied in Section 5 is confirmed by the NMSE as depicted by Figures 8 and 9.

The logistic regression model is used to represent the conditional probability; then the probability of sample i belonging to class m is described as (1) p i, m ≜ P g i = m   ∣   x i =    exp ⁡ ⁡ x i β · m ∑ l = 1 M exp ⁡ ⁡ x i β · l   m = 1, …, M. Here, β is the coefficient matrix, which represents the model parameters which need to be solved, and β· m is the mth column of β.

From such findings, it is reasonable to assume that environmental agencies and legislative bodies should provide more attention to the presence of antibiotics in environmental matrices, which leads to the need for further studies related to this subject to produce data enabling stipulate the maximum values allowed for the presence in soil.