Sentence examples for matrices since the from inspiring English sources

Nanoparticles have been used to reinforce polymer matrices since the late 1980s, with promising results.

Yet, our method is much less sensitive to the temporal variation of the channel matrices, since the employed angular channel decomposition is comparatively stable over time.

We point out that here we focus mainly on computing the unitary polar factor of rectangular matrices, since the high-order methods discussed in this work will not require the computation of pseudo-inverse and is better than the corresponding Newton's version (5), which requires the computation of one pseudo-inverse per computing cycle.

Table  2 shows the relationships between the off-diagonal elements of the relationship matrices, since the off-diagonals are most important for the accuracy of breeding value prediction.

This method avoids the need of directly determining the inverse of large matrices, since the problem is reduced to computing a series of multiplications, divisions, additions and subtractions.

One should note that R H is a diagonal matrix since the virtual channel H v is already diagonalized.

CSI requirements for estimating this effective base band channel are reduced compared to the full channel matrix, since the dimension of the effective channel matrix is smaller.

Evidently, there are only HZD aggregates inside the matrix, since the SAXS data indicate no considerable change of surface of particles II of the matrix.

For all simulations the population central matrix S from (1) was set at the identity matrix, since the center used does not influence the results when estimating spread.

In this study, H i is a symmetric matrix since the images are regular ones and ∂ 2 f i ∂ x ∂ y = ∂ 2 f i ∂ y ∂ x.

Figure 3 shows the magnitude of the first row of the channel autocorrelation matrix, Since the channel autocorrelation matrix is circulant, it is enough to show the first row of the channel autocorrelation matrix.