We compare the actual number of triplets in each class to the null-hypothesis random matrix ensemble defined as follows.
The correlation coefficients between the basic random variables or the component safety margins are represented by a Dunnett Sobel class correlation matrix to identify the source of the statistical dependence and to make use of the matrix-based procedure developed for independent components.
This class of hypergraphs corresponds to matrices with the circular ones property, which play an important role in computational genomics.
This paper presents a simple and effective iterative method to produce numerical solutions to this class of matrix equations.
Based on a 15-year study of the threatened herb, Helenium virginicum, we created a stage-class transition matrix to model the population dynamics of the plant.
Inspired by the scatter matrices used in Fisher-LDA [47], we use the within-classes scatter matrix to measure the similarity of the center region, R c, and the surrounding region, R s, which is defined as S W = ∑ n ∈ { 1, 2 } ∑ p ∈ R n x p − μ n x p − μ n T (1).
One possible answer to these complications could be to concentrate on a special class of matrices corresponding to specific difference operators.
Similarly to matrices, a nonsingular class of tensors can lead to an eigenvalue localization result.
Under these conditions, immunofluorescence to reveal integrin α6, a protein belonging to a class of extracellular matrix receptors that are normally localized to the basal membrane of polarized cells, showed a disorganized distribution of this protein in epithelial cells derived from both types of tumors, with no polarization pattern (Figure 3A).
Several results concerning the degree of approximation of periodic signals (functions) belonging to the Lipschitz class by Matrix Operator have been reviewed and the condition of monotonicity on the generating sequence { p n } has been relaxed.
