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Let Q denote the state transition rate matrix (also known as infinitesimal generator) of the CTMC.

Making use of this property we are able to propagate light in phase space with the ray transfer matrix (also known as ABCD matrix) [5, 6].

R = (r ij ) n × n, which satisfies the reflexivity, symmetry, and transitivity, is fuzzy equivalence matrix, also known as similarity matrix.

The matrix, also known as superlattice structure, is embedment of QDs in an insulating material like SiO2 or Si3N4 [6] or SiC [7].

A Helson matrix (also known as a multiplicative Hankel matrix) is an infinite matrix with entries {a jk)} for j,k≥1.

We give necessary and sufficient conditions for a bipartite degree matrix (also known as demand matrix) to be the color degree matrix of an edge-disjoint union of half-regular graphs.

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The second approach is implemented in tools using multiple position-weight matrices (also known as position-specific scoring matrices) to represent multiple specificity profiles obtained by various techniques, e.g. mixture model optimization (Kim et al., 2011) or Gibbs sampling (Andreatta et al., 2012).

Since R = 0, the recurrence relations for the haplotype frequencies are (12) w ¯ h i = ∑ i H i ⊙ Γ i ⊙ Ψ i, where w ¯ = ∑ i, j H i, j ⊙ Γ i, j ⊙ Ψ i, j is the average fitness, h i is the corresponding row for the ith haplotype (individual), and ⊙ denotes element-by-element multiplication of the corresponding i, j elements in the three matrices (also known as a Hadamard product).

This matrix is also known as transition matrix.

The statistical features were extracted using gray-level co-occurrence matrix (GLC M, also known gray-level spatial dependence matrix (GLSDM).

Spearman's ρ is calculated on the ranks of elements x i and y i in the vectorized distance matrices according to the following equation: (3) The correlation between a data-derived matrix of pairwise distances and a phenetic distance matrix is also known as the cophenetic correlation coefficient (CPCC) (Sokal and Rohlf 1962).

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