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These analyses are both performed using two alternative spatial weight matrices, namely, first order contiguity and inverse distances.
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The first is to determine the reinforcement of high performance short aramid fiber in two representative rubber matrices, namely natural rubber and acrylonitrile rubber.
Applying the influence coefficient method, two matrices, namely the unbalance calculation matrix and the milling vector calculation matrix, are constructed.
This work reports, for the first time, a validated methodology for qualitative and quantitative melatonin analyses directly from a complex matrix, namely rat milk, using matrix-assisted laser desorption/ionization mass spectrometry imaging (MALDI-MSI), in a useful strategy for fast assessment of this molecular species.
with being a slice of unitary matrix, namely,, and an invertible upper triangular matrix.
We thus propose two new approaches for solving the EEM matrix, namely EEM Cutoff and EEM Cover.
As a result, G is a full-rank diagonal matrix, namely, rank(G) = M.
Logical matrices where first used as models of the theorems of specific logic systems, for instance in the work of McKinsey and Tarski, and also to define sets of formulas with similar properties to the set of theorems of a logic system, namely closure under substitution instances.
This approximation consists in truncating the spectral decomposition of the contact interaction matrix at the first spectral component, namely U a, b) ≈ - h(a) h(b), where h(a) indicates the component of the main eigenvector of U a, b) corresponding to amino acid a, which we call the interactivity of amino acid a.
Namely, the first step is constructing the decision matrix of the problem and the second step is the normalization of the decision matrix.
The pattern of intra-group variance was compared among groups, by estimating the correlation between their directions of greatest phenotypic variance, namely the first eigenvector V1 of the VCV matrix.
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