Sentence examples for matrices and for from inspiring English sources

The complete and parametric solutions for the observer matrices and for the generalized eigenvectors are obtained.

Hydrogels based on HyPG have great potential as drug delivery matrices and for tissue engineering purposes.

For each n let Tpn be the algebra of all pn × pn upper triangular complex matrices, and for m ⩽ n, let σpn·pm: Tpm → Tpn be the mapping, x↦1d⊗x, where d = pnpm.

We decrease the arithmetic cost of the known numerical approximation algorithms for these tasks from quadratic to nearly linear, and similarly for the computations with the matrices having structures that generalize the structures of Vandermonde and Cauchy matrices and for polynomial and rational evaluation and interpolation.

We note that the matrices,, and, for, are invertible.

After calculating the smoothed matrices and for each tile, we collect all the smoothed matrices in order to perform MDF algorithm [19]: (18) (19) (19).

For matrices and and for, we have (31).

pcacov is used for covariance matrices, princomp for raw data matrices, and pcares for residuals from PCA.

For any matrix and for any vector, the following are equivalent: (i).

Open image in new window Fig. 3 Demand profile for the "true" matrix and for some seed matrices.

The principles and applications of this technique for solid matrixes and for different types of compounds have been reported [ 90– 90].