The use of genomic relationship matrices in place of pedigree relationship matrices avoids the assumption of neutrality of loci both in the estimation of inbreeding coefficients and for the mean value of gametes inherited by progeny both of which are assumed for the computation of the numerator relationship matrix [ 36].
In the case of unstructured full-diversity LDPC codes, they draw an important path in terms of designing the parity-check matrix which avoids the constraints that must be imposed to produce root-check-based LDPC codes.
The matrix formulation avoids the difficulties of load-flow methods presented in the literature: lack of generalization for arbitrary network topologies and transformer connections; the αβ0 stationary reference frame makes the algorithm easily applicable to distribution systems; and finally, the BFS algorithm is an efficient, robust and fast solver.
A well-computed state covariance matrix avoids error propagation due to numerical pitfalls and, thereby, is crucial for a successful state estimator design.
The whole information of the two parallel ULAs is fully utilized by changing the reference element to reconstruct the two new cumulants-based matrices, which avoids the loss of array physical aperture.
This last process confers them spatial and temporal stability due to the high crosslinking degree of the matrix, avoiding oxidation and agglomeration between them.
The proposed approach consists on dynamic microwave-assisted extraction and subsequent real-time on-line monitoring of the analytes extracted; thus, the extraction is halted when complete leaching of the analytes has been reached (independently of the sample matrix), avoiding extraction times in excess.
This results in a scheme which is mathematically equivalent to Galerkin discretization in that the resulting matrices are related to those obtained by Galerkin methods via conjugation with well-conditioned matrices, but which avoids the evaluation of double integrals.
The data matrix could contain even more data, but we choose to construct a completely filled matrix avoiding statistic methods like Least Square Estimation [14] or other robust methods [15] for filling of empty matrix cells.
The PLGA increases the matrix stability, avoiding the rapid disintegration of nanoparticles, due to its indissolubility in water.
