Sentence examples for matrices with p from inspiring English sources

Let M p × q ( C r × r ) be the set of all block matrices with p ≥ 1 rows and q ≥ 1 columns over the ring C r × r of all r × r complex matrices.

CoGAPS factors the expression matrix D into amplitude (A) and pattern (P) matrices with p patterns according to the distribution in eq. 1.

The next component models the variable, Z ikt, and is a matrix with P rows and T columns.

Before encoding this sample image, the gray-scale image shown in Figure 9a was converted into a binary matrix with p ̄ = 0. 62.

Betweenness centrality used path matrix P, which is defined as a |V| × |V| matrix with P ij entries being equal to the number of shortest paths between farmer i and j.

The most general form for the genetic variance matrix from MET data is a fully unstructured matrix with p (p + 1)/2 parameters where p is the number of environments, and this matrix is, by definition, nonnegative definite.

The transition matrices learned were not significantly different from those initialized uniformly with heavy diagonals (and as we observed in the case of matrices initialized with p=0.5, C. glabrata, and the Schizosaccharomyces species had the lowest correlation 0.44 0.56 with matrices initialized with p =0.8).

Following the above given analysis, there exist nonsingular matrices P, Q with P ∈ M r, Q ∈ M m such that P F Q = F K, P G Q = G K. (27).

All matrices with a P value of 0.01 or lower and with at least 25% coverage of the genes in the hit list are reported.

where Q p ∈ M m p is a matrix with columns p linear independent (generalized) eigenvectors of the p finite eigenvalues of s F − G, and Q q ∈ M m q is a matrix with columns q linear independent (generalized) eigenvectors of the q infinite eigenvalues of s F − G. Lemma 2.1 Consider the system (1) with a regular pencil.

Each pattern vector was then normalized (using equation 1), and organized into a matrix S with P rows and 4 columns.