Sentence examples for matrices with same from inspiring English sources

If A1 and A2 are vectors or matrices with same dimensions we write A1 ≫ A2 if and only if A1 − A2 ≫ 0.

To make a reasonable comparison between these two methods, the quality of reconstructed image and the computational time are investigated when the reduced weight matrices with same scale are obtained with the PCA method and the wavelet transformation method, respectively.

Groups of dependent reactions are generally identified by comparing the rows in the null-space matrix of the Stoichiometric matrix, S. The null-space represents all the possible steady-state flux distributions that satisfy Eq. 1 and the dependent reactions are the rows in this matrix with same values after normalization with no contradictions in the directionality for irreversible reactions.

Figure 3 presents the results of HCMVM-DC (denoted as original) and AURA-DC (denoted as optimized) on the same constant matrices with the same error tolerances used for HCMVM and AURA in Fig. 2. In HCVM-DC, the delay constraint was set to MAS C M V M. Note that the CPU time of AURA-DC includes the CPU time of HCMVM-DC to find the shift-adds design of the optimized CMVM operation.

Thus, the product of two matrices depends on the order of multiplication; if S and T are square matrices (matrices with the same number of rows as columns) of the same size, then ST and TS are rarely equal.

Will our digital descendants look upon these dot matrices with the same awe we feel when we see the images of Lascaux?

The effect of different subsampling matrices with the same sampling density, on the optimality of two-dimensional filter banks is studied in this paper.

Next a novel satellite cluster feedback control protocol with coupling gain is designed, so that the satellite cluster periodically bounded relative motion consensus problem (period-delayed errors state consensus problem) is transformed to the stability of a set of matrices with the same low dimension.

& end{array}displaystyle end{gathered} are block matrices with the same column partitioning.

Different initial population compositions lead to different rate matrices, albeit matrices with the same dominant right eigenvector.

Expanding the original problem, Qeli et al. [13] present a situation containing n matrices with the same dimensions.