Sentence examples for matrices as opposed from inspiring English sources

This approach is efficient since the SW-LU combination requires the inversion of only block diagonal matrices, as opposed to the block tridiagonal inversion of the widely used ADI method, and is fully vectorizable.

A particular challenge is the homogeneous dispersion of layered silicates, termed exfoliation in biopolymer matrices as opposed to agglomeration and intercalation of such filler materials, since inhomogeneous nanobiocomposites often have unsatisfying properties.

In terms of data input, a covariance matrix, as opposed to a correlation matrix, was generated and used in this analysis (see Table 8 in Appendix 2), and this was done for three reasons.

However, the increase in expression was greater on the collagen matrix, as opposed to the gelatin matrix.

Since differences in biochemical properties among amino acids are reflected in the relative rate of substitution among amino acids, it is possible that the correlations between cost and substitution rate we observe may be an artifact of the selective pressures that influence the substitution rates described in the WAG matrix as opposed to the direct effect of cost minimisation itself.

FA models the covariance of a data matrix, as opposed to PCA, which attempts to summarize the total variance.

The perturbative solution of the master equation describing the system is now significantly more involved than in previous models; the underlying reason for this is that the computation of the noise correlators to order Ω0 requires the inversion of a 6 × 6 matrix as opposed to a 3 × 3 one in previous models (see Methods for details).

Select "Clear Playlist" (as opposed to "Cancel").

The originality of the method lays in the optimization of the rotation matrices themselves as opposed to magnetization states.

This technique is referred to as three-way MDS because the input is a three-dimensional matrix, [δijk], as opposed to the two-dimensional matrix in "classic" MDS.

However, such data has primarily been used for the development of human mobility models, extraction of statistics on human mobility behaviour, and origin-destination matrix estimation as opposed to the development of econometric models of travel demand.