Sentence examples for matrices that for from inspiring English sources

We also show with the help of matrix geometric means and a Riemannian metric over the set of positive definite matrices that for a rational exponent p in the interval (0,1], the matrix X raised to p is the largest element of a set represented by linear matrix inequalities.

Some new transform matrices that allow for the use of an arbitrary number of branches in the GP structure are developed.

Note that it is straightforward to extend the results to Hermitian matrices that occur for complex-valued processes.

To some extent the influence of factors other than species interactions can be factored out of null model analyses by generating null matrices that account for these other factors [42].

Moreover, we give algorithms for finding central matrices that are used for power control in induction heating, and illustrate these by some numerical examples.

However, source estimates for different predictors were based on the same noise covariance matrices that were computed for baseline intervals of 200 ms duration before picture onset.

Three-dimensional confocal microscopy images confirmed the highly porous structure of the microfibrous matrices that is sufficient for cell penetration.

This is performed using rotation matrices that are generated for each antiparallel chain and are applied to the atomic coordinates.

In additional analyses, the variance that can be explained by SNPs on each individual chromosome was estimated by genetic relatedness matrices that were estimated for each chromosome separately.

We have found that for matrices that are 8 × 8, the first 16 entries represent low frequencies and thus we set K = 16.

ClustalX resulted in alignments for both matrices that appeared less than ideal for phylogenetic analyses.