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Obviously, the measures whose definitions are based on calculating matrices can be often computed in polynomial time (e.g., square, cubic etc).
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Distance based approach which is based on calculating pair wise distance matrix was computed by calculating a dissimilarity matrix using a shared allele index with DARwin software (Perrier and Jacquemoud-Collet 2006).
This procedure is based on calculating a so called C-matrix, which is obtained from each matrix by augmenting it with a unit matrix and then reducing to Reduced Row Echelon Form (RREF).
Therefore, we examined mixed-model association mapping approaches which are based on K matrices calculated for different thresholds T [ 20].
Rotation angles are based on the amount of horizontal and vertical movement of the mouse, with new molecular coordinates calculated based on standard matrix transformations.
For each regulatory interaction, binding scores were calculated based on position matrix values or inserted from the original sources.
The number of similar amino acids was determined using GeneDoc computer program (http://www.psc.edu/biomed/genedoc). Amino acid similarity is calculated based on BLOSUM62 matrix (BLOSUM35 matrix gave very similar results - data not shown).
Kinship matrix data concerning averaged structures were calculated using CLUMPP software and based on Q matrices.
Based on the binary matrix, similarity matrixes were calculated using Jaccard's and Dice's coefficients [ 23, 24].
In order to find subset of genes (module) that are tightly connected with each other, the distances between all pairs of genes are calculated based on the adjacency matrix A. Afterwards, the computed distance matrix is subjected to a clustering method which results in detecting the modules.
The reflection and transmission coefficients through finite multilayered structure are also calculated based on the stiffness matrix method to avoid the numerical instability of the transfer matrix method.
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