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Then, the entire matrix of direct and indirect coupling loss factors is derived by using a deterministic modal approach.
A linear model of coregionalization (LMC) was fitted to the matrix of direct and cross experimental variograms for the 12 characteristics.
where A is the n×n matrix of direct input coefficients.
From these matrices, we have derived the matrix of direct technical coefficients.
A decomposition by industry is achieved by creating a diagonal matrix of direct impact multipliers (DIMs) which is post-multiplied with the Leontief Inverse: {mathbf{M}}^{i} = {hat{mathbf{f}}} cdot {mathbf{L}} (2 where ({hat{mathbf{f}}}) is a (m + n) × (m + n) matrix with DIMs placed on the diagonal of a (m + n) × (m + n) matrix of zeros.
From this definition, w y d can be expressed as: mathop wnolimits_{y}^{d} = hat{eta } cdot y (21 where (mathop eta limits^{ wedge }) is the diagonal matrix of direct water use coefficients and y is the column vector of final demand.
Similar(53)
where (tilde {A}) is weighted adjacency matrix of directed networks, (tilde { D}_{O}) is the weighted diagonal matrix of out-degrees (or row sum of (tilde {A})) and (tilde {D}_{I}) is the weighted diagonal matrix of in-degrees (or column sum of (tilde {A})).
It is interesting to observe that is the MMSE matrix of the direct link, where the sum MMSE is simply given by.
We call P G d i r e c t the connectivity matrix of G direct.
The structural proteins of the enamel matrix must have specific protein protein interactions to produce a matrix capable of directing the highly ordered structure of the enamel crystallites.
The algebra graph theory is reviewed and the properties of signless Laplacian matrix of a directed graph are derived.
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