Sentence examples for using the convex separation from inspiring English sources

By using the convex separation theorem, there exists such that, for all and, for all.

Optimization was carried out using the convex optimization package CVXOPT version 1.1.2 [28].

The AUC is calculated using the convex hull of the ROC curve (Fawcett, 2006).

CNVs from the exome data were denoted using the CoNVex program.

The remaining splits are then processed using the convex hull algorithm, which will add some nonplanar parts to the network.

Use the convex spline tool to press the screen into the channel in the frame.

To create the cups, you'll need to use the convex mounds of the base for molding.

Note that although the linear relationship in (1) seems to be oversimplified, it is not difficult to extend to the non-linear feasible set as long as the set is strictly convex by using the separation theorem of convex sets (see Figure 1).

Using the hyperplane separation theorem for convex sets, we introduce a concept of modal reliability.

Using the separation theorem for convex sets, there exists some g ∈ Y *{0}, such that i n f { g ( F ( x, y ) + c + ε e ) : y ∈ A, c ∈ C } ≥ s u p { g ( - c ) : c ∈ C }. (3.2).

Using spatial data from these genotype clusters, we constructed 100% minimum convex polygons using the Minimum Convex Polygon Plugin for QGIS version 2.4.0 software [ 80] to represent the minimum home ranges of communities based on genotypes found in association.