Sentence examples for matrices and examine from inspiring English sources

The test relies on a new characterization of equality between two k dimensional positive-definite matrices A and B: the traces of AB 1 and BA 1 are equal to k if and only if A = B. Using this criterion, we introduce a class of omnibus test statistics for equality of covariance matrices and examine their null, local, and global approximations under some mild regularity conditions.

Using industry-level total factor productivity data, we estimate innovation input output matrices and examine the properties of innovation linkages for two areas: the East Asian region and the integrated region of East Asia and the USA.

We revised such an existing matrix and examined the regional heterogeneity in EI and ES provision in Europe and searched for spatial gradients in their provision to elucidate their suitability for large-scale EI and ES mapping in Europe.

We developed a new in silico multiple target screening (MTS) method, based on a multi-receptor versus multi-ligand docking affinity matrixes, and examined its robustness against changes in the scoring system.

Such conditions can be detected by checking the null-space basis matrix and examining the coupling ratios [ 20, 26].

Based on human-mouse evolutionarily conserved transcription factor binding sites (TFBSs) in 76600 conserved blocks for 5169 genes, we compiled the human transcriptional connections into a matrix, and examined the number of FFC appearances in comparison with randomized networks.

In this paper, using the difference operator of order m, the sequences of Orlicz functions, and an infinite matrix, we introduce and examine some classes of sequences of fuzzy numbers defined by I-convergence.

To assess the effectiveness of the three-dimensional culture of spermatogenic cells in a collagen gel matrix from nonobstructive azoospermic patients and examine the relation between the success rate of in vitro spermatogenesis and serum FSH level as a diagnostic prediction.

Porous chitosan matrix combined with ceramics and constituents of extracellular matrices were prepared and examined for their bone regenerative potential.

The notion of natural adjacency matrix is discussed and examined as an alternative to classic neural adjacency matrix.

The method converts a database of protein families into a conditional distribution matrix and then examines each possible substitution group for evidence of conservation.