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In this paper, we address this problem using an explicit matrix regularization function.
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This is done by using an explicit closed formula for the Vandermonde matrix inverse.
These preconditioners are formed instead using an explicit derivation of a lower order matrix similar to that associated with a defect-correction procedure.
GS can be applied using an explicit estimate of the genomic relatedness matrix with genomic best linear unbiased prediction (GBLUP).
Hickey et al. [ 4] compared two strategies to include phenotypes of ungenotyped individuals in the reference population, i.e., prediction using an explicit imputation step and prediction using an H-matrix.
By using an explicit vector encoding, we gain efficiency, as we avoid computing and storing the pairwise similarity matrix.
These are solved by using an explicit finite difference method.
While in the main text, tensors are denoted as bold face symbols, in the supplement we often use an explicit index or matrix notation for tensors.
Simonetta [ 13] also presented an estimate of chrysochlorid interrelationships (Fig. 1B), but did not base his on an explicit matrix of morphological or molecular data.
The proposed control algorithm uses an explicit nonlinear process model and the basic elements of the classical dynamic matrix control (DMC).
Proof We use an explicit description of the basic solutions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com