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Also, for all (s,t in V), let begin{aligned} mathcal {S}_{s,t} := arg min { mathbf {t}(P) : P in mathcal {P}_{s,t} } end{aligned}when (mathcal {P}_{s,t}) is a set of all paths from s to t and (arg min) returns a set of paths such that all members of the set minimize the value of (mathbf {t}(P)).
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In this model, we set minimizing total cost as an objective function subject to various constraints including resource availability, demand satisfaction, energy flow conservation, and the limited capacity of technologies.
The parameter set minimizing the mean distance is the best set.
minimizing a nonconvex function on a convex set; minimizing a convex/nonconvex function on a nonconvex set; minimizing a convex/nonconvex function on a convex/nonconvex set with integer variables.
In terms of optimization, nonconvex problems appeared in CS can be divided into three classes: minimizing a nonconvex function on a convex set; minimizing a convex/nonconvex function on a nonconvex set; minimizing a convex/nonconvex function on a convex/nonconvex set with integer variables.
The optimal configuration of the parameters was chosen to be the set minimizing the mean squared prediction error (MSPE).
Moreover, the corresponding MST for such a set minimized the number of genes not contained in the set.
Homolytic bond dissociation energies (BDEs) studied with a variety of density functional theory (DFT) methods also indicate B3LYP usage with a correlation-consistent basis set minimizing the deviation from benchmark calculations.
Rapid identification and differentiation in a public health setting minimized the potential for spread of the virus.
The intuition behind seeking a binary supertree is that, in this setting, minimizing the RF distance is equivalent to maximizing the number of clusters (or clades) that are shared by the supertree and the input trees.
In addition to normality, log transforming reduces the level of heteroscedasticity in the data set, minimizes the effect of extreme outliers, and allows for the visualization of data in a linear fashion, which simplifies the visual comparisons of slopes [ 81, 115].
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com