Sentence examples for matrices and using from inspiring English sources

This image transformation was performed employing rotational matrices and using the 2D surface between the islands as well as the known {111} island facets as references.

Based on the appropriate Lyapunov Krasovskii functional, introducing some free weighting matrices and using convexity of matrix functions, a novel synchronization criterion is derived.

Assuming well-conditioned channel matrices and using Sylvester's determinant theorem [12], the k th user rate can be approximated for high SNR values by R k ≈ SNR ≫ 1 log 2 p H kk W V k V k H W H H kk H U k H U k. (16).

The added value of directly using PODs for the computation of optimal sensor locations is the computational efficiency of the method, side-stepping the tedious computation of sensitivity coefficient Jacobian matrices and using only system responses and/or experimental results directly.

To present our ordinal raw data we calculated univariate frequency distributions of KKG items based on subsample A. Data were treated as ordinal calculating polychoric correlation and asymptotic covariance matrices and using robust diagonal weighted least squares (robust DWLS) estimation method [ 32, 53].

Schöffer cast the first metallic type in matrices and used it for the second edition of the Vulgate Bible.

Students then extract historical information from their aligned data matrices and use it to estimate relationships among the species from which the sequences were sampled.

In this study, COF-based hybrid membranes were fabricated by incorporating COF SNW-1 into sodium alginate (SA) matrices and used for ethanol dehydration.

Secondly, we compared the performance of the pre-computed training-set-derived PWMs with those of randomly generated 'equivalent' matrices and used both sets of matrices to analyse the E. coli K-12 genome sequence.

All factor analyses were conducted on polychoric correlation matrices and used maximum likelihood estimation.

The resulting similarity matrices were transformed into distance matrices and used to reconstruct trees by the neighbor joining method with MEGA v5.2.2.