Sentence examples for matrices represented the from inspiring English sources

However, only the R1 random matrices represented the same combination of nucleotide preferences, though present in distinct permutations as compared to the original matrices.

Consequently the matrices representing the differential operators (on the finest scale) have block-diagonal structure.

F d and G d are b × b matrices, representing the precoder and decoder in the virtual channel.

The covariance matrices represent the whole ensemble and the Kalman gain K e is derived from these.

W 0, W 1, and V are the interconnection matrices representing the weight coefficients of the neurons.

The spatial correlation matrices represent the second-order statistics of the channels which vary slowly and can be precisely estimated.

For example, 2-by-2 rotation matrices represent the multiplication with some complex number of absolute value 1, as above.

When n = m composition of these maps is possible, and this gives rise to the matrix ring of n×n matrices representing the endomorphism ring of Rn.

Empirical substitution matrices represent the average tendencies of substitutions over various protein families by sacrificing gene-level resolution.

Delport et al. [15], [16] pointed out that empirical substitution matrices represent the average tendencies of substitutions over various protein families by sacrificing gene-level resolution.

The weight matrices represent the frequencies of different nucleotides at each base.