Sentence examples for matrix with as from inspiring English sources
This implies that, where denotes a matrix with as the th line and th column entry.
Step 3: Cross all zeros in the matrix with as few lines (horizontal and/or vertical only) as possible.
To this end, we note that if is rank deficient, (i.e., ), are the eigenvalues of, where is a diagonal matrix with as its diagonal elements, and is a complex Gaussian matrix with statistically independent, zero-mean, unit-variance elements.
For graphic representation the matrix was blurred using a convolution matrix, with as kernel the 3x3 matrix [0.05 0.05 0.05; 0.05 0.05 0.05; 0.05 0.05 0.05].
To achieve this, we produced a matrix with as many columns as sets of 50 consecutive SNPs that can be built from the genotype file, and as many rows as animals in the analysis.
Anderson and May [18] described "who-acquires-infection-from-whom" matrices with as many unique elements as risks of infection, but Nold [45] formulated mixing as a convex combination of age-specific activities (number of contacts per person per day) and constant preference (proportion with others in the same group), and Jacquez et al. [46] allowed preference to vary with age.
The inner wall is composed of a protein matrix embedded with as well as coated with lipids, while the outer wall is composed of quinone tanned proteins as well as protein-tyrosine crosslinks.
Assume that, and each contain elements and that is an matrix with iterations as before.
The measurement process can be modeled as, where is an matrix with vectors as rows and is white additive noise (with possibly impulsive behavior).
4) Charting: CB and SM independently summarised themes and supporting quotes from each transcript in the framework (a matrix with participants as rows and themes as columns), with discussion to resolve any disagreement.
Finally, we constructed a matrix (with sequences as row entries and with TFBS as column entries) with the normalized frequencies of families as its element (for details, see Table S8) for mRMR feature selection.
