Sentence examples for matrices were well from inspiring English sources

In fact, the present author made sufficient preparations for the matrix tricks and tools used in the above proofs since the 1980s, while a systematic theory of matrix rank formulas and generalized inverses of matrices were well developed during this approach.

Thus, the corresponding matrices are well posed.

The quantization error of the codebook composed of multiple unitary matrices is well studied in [21].

d-Disjunct matrices, ¯d-separable matrices and d-separable matrices are well studied in various problems including group testing, coding, extremal set theory and, recently, DNA sequencing.

As shown in the numerical results, operational matrices, even for first kind integral equations, have relatively low condition numbers, and thus, the corresponding matrices are well posed.

The diagonal block-wise basis identity matrices are well suitable to without inter-symbol interference orthogonal frequency division multiplexing, diagonal block zero forcing precoding, and SVD for multiuser MIMO.

It is shown that the insertion-induced transformations of the host matrices are well detectable in the form of characteristic peaks, minima and plateaus appearing in the capacitance curves.

The TEQ levels in both matrices are well correlated (r = 0.83, p = 0.02).

Scanning electron microscopy (SEM) images obtained from the fractured surfaces of the nanocomposites showed that the F-MWNTs in the nylon-6 matrix were well dispersed as compared to those of the P-MWNTs.

These results indicate that the microstructure of the vitrified cell sheet, including the extracellular matrix, were well maintained even after vitrification and rewarming under suboptimal conditions.

The biofabricated matrix was well incorporated into the biphasic osteochondral area.