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The sequence alignment measure S1 averages the local and global protein alignment scores from the Smith Waterman [ 38] and the Needleman-Wunsch [ 39] algorithms calculated with a specified scoring matrix and "gap open" (GOP) and "gap extended" (GEP) parameters.

(c) Random-matrix model: the strengths and correlations between pleiotropy components are randomly drawn from a specified random matrix model.

Indeed, the compatibility conditions under which a joint normal distribution with a specified rank correlation matrix exist, imply that for any n ≥ 3 there are compatibility counterexamples (see Hürlimann (2012a), Theorem 3.1 and Corollary 4.2).

We can calculate a generator matrix G N. with a specified N = 2 n.

where H is a specified q×p matrix.

The unknown input psd matrix is determined such that the reliability index associated with a specified structure performance function is minimized.

Clustergram takes in an input matrix of interest and generates a dendrogram based on a specified distance metric.

Therefore, generalized polar code schemes can be created after given a specified l × l matrix with polarization feature.

Firstly, we propose a new algorithm to generate a discrete statistical distribution to match exactly a specified mean vector, a specified covariance matrix, the average of specified marginal skewness and the average of specified marginal kurtosis.

We first design three efficient basic operations which include the matrix multiplication of two N×N matrices, finding the minimum spanning tree of a graph with N vertices, and identifying the connected component containing a specified vertex.

These problems include: constructing a zero-one matrix with specified row- and column-sums, constructing a simple digraph with specified in- and out-degrees and constructing a zero-one flow pattern in a complete network, where each vertex has a specified net supply or demand.