Sentence examples for convergence of sets from inspiring English sources

It follows that, as (tuparrow1), the net ({operatorname{Fix}(S_{t})} _{tin 0,1)}) does not converge to the fixed point of T nearest to ((a_{0},b_{0})) even in the weaker convergence of sets (see [6]).

Then, P d(n)=I E(X n (r)), where the expectation is understood to be with respect to the distribution of r under H 1. Then, it follows, using the limits specified above, together with the fact that convergence of sets is equivalent to pointwise convergence of indicator set functions [26], lim n → 0 X n ( r ) = I I W ( r ) > β Pfa − 1 / α − 1 ∥ u ∥ 2, which is an integrable random variable.

As already indicated in Section 2, we will make use of the upper convergence of sets introduced in Definition 2.3.

In this paper we prove similar results for the residual method but with a different notation using a type of convergence of sets (see, for example, [41, Section 29]).

What's more, they have been given the most impeccable platform imaginable for such swaggering: a glossy, moody convergence of set and costumes (Mark Thompson), lighting (Hugh Vanstone), sound effects (Mic Pool and David Bullard) and cinematic music (Gary Yershon).

Nuray and Rhoades [4] extended the notion of convergence of set sequences to statistical convergence, and gave some basic theorems.

In the following, we introduce some concepts of the convergence of set sequences and mapping sequences which will be used in the sequel.

As shown in [ 3, 20], e.g., G-convergence of sets gives rise to convergence (sometimes called epiconvergence) of convex lower semi-continuous functionals, when considering their epigraphs, which are convex closed sets.

The 1H NMR (Fig. 5) study was complex due to the convergence of most sets of the signals in the spectrum.

Further increasing of the temperature led to the increase of all M O distances and to the convergence of both sets of M O2 bond lengths in the equatorial plane of MO6 octahedra (Fig. 4a).

In [10], a solution combining the geodesic active contour approach and interpolation constraints is provided to improve the convergence of level sets in the case where the image is noisy and the contours are not well defined.