Sentence examples for matrices with values from inspiring English sources

Consider a function F X, Y) of pairs of positive matrices with values in the positive matrices such that whenever X and Y commute (F X,Y)= X^pY^q).

These models were expressed as a set of matrices, with values of +1 expressing increased similarity between particular conditions, and values of −1 expressing relative dissimilarity.

To examine how populations of each species respond to severe events such as that observed in 2006, we parameterized three projection matrices with values of hatched young and adult survival as observed in 2004, 2005 and 2006.

where Φ is the optimized code matrix and denotes a matrix with values whose elements approach 0. By substituting (9) into (57), we can rewrite (57) as (58).

Essentially, this calculates a. position's risk by multiplying its face value by a preconceived risk matrix with values.

A threshold was applied to the correlation matrix, above which individual voxels were said to be connected, thereby discretizing the correlation matrix into a binary adjacency matrix with values of 1 indicating the presence and values of 0 indicating the absence of a connection between two voxels.

The regression coefficients are normalized to create a data matrix with values between 0 and 1.

Scored results were exported to an Excel matrix with values 1 (allele present) or 0 (allele absent).

We define the cross-coexpression matrix as the mean of the individual matrices, and pairs of genes in this matrix with values close to 1 are highly correlated in both datasets.

The isotropic baseline conductivities were σ i = diag(0.175,0.175,0.175) S/m and σ e = diag(0.7,0.7,0.7) S/m, where diag x, y, z) is a 3 × 3 diagonal matrix with values x, y, z along the diagonal.

The LDA showed significant differences between the Cp groups (Wilks's lambda = 0.574; F = 4.074; df = 6, 33; p < 0.0003) and a classification matrix with values of correct classifications > 50% (low-Cp group, 76%; high-Cp group, 68%).