Sentence examples for strong domination from inspiring English sources

In this paper, we introduce a new strong domination property, which is different from the corresponding ones in the related paper, for an unperturbed vector optimization problem.

The effect results in three-fold Ga enrichment of the upper layer of the native oxide and in strong domination (~90 at%) of the Ga2O3 phase which is known to be a quite good dielectric with the bandgap width as wide as 4.8 eV.

As more injections add links but not new nodes, they can only enhance these strong domination effects, confirming that the FIN is indeed a dense graph when considered in terms of binary connectivity.

Further, the general institutional context in the country is characterised by strong government domination and rigid structures, which indicates an opaque opportunity context with limited opportunities for niche actors to have an impact.

Furthermore, assume that all conditions of Theorem  3.1 are satisfied except that (ii) is replaced by (ii') the strong global domination property (SGDP) of order (betageq1) for (VOP) holds on WS with a constant (l_{s}>0).

(ii) The strong local domination property (for short, SLDP) holds around (x_{0}in W) (resp. WS) of order (alpha>0) with constant (h_{s}>0) for (VOP) if and only if there exists a neighborhood U of (x_{0}) such that, for each (xinPhicap U), there exists (x_{0}in Scap U) (resp. (WScap U)) satisfies (2.3).

Hence, for any (xinPhi), there exist a constant (h_{s}=frac{sqrt{2}}{2}) and (x_{0}=0in S=WS) such that f(x -f(x -f})+frac{sqrt{2}}{2}Vert x_{_{0}Vert mathbb{B}{{Y}subset C. That is, the strong global domination property for (VOP) on S (resp. WS) holds.

(i) The strong global domination property (for short, SGDP) holds on S (resp. WS) of order (alpha>0) with constant (h_{s}>0) for (VOP) if and only if for each (xinPhi), there exists (x_{0}in S) (resp. WS) such that begin{aligned} f(x -f(x -f})+h_{s}Vert x_{_{0} Vert ^{alpha}mathbb{B}_{Y}subset C. end{aligned} (2.3).

And from Figure 8, we find that the number of uncovered nodes is smaller as the K is bigger, which explains that the connectivity of the network is stronger the domination of CS is stronger.

In many cases, the strong global (local) domination property for (VOP) holds but the strong convexity of the objective function fails as the following example shows.

Collins and Moore (1964) determined that the entrepreneurs they studied had a strong need for domination and could be patronizing in their dealings with their employees.