Sentence examples for closed relations from inspiring English sources

Our presentation is a simplified version of the elegant work of McGehee and Wiandt [92, 126] about iterated closed relations on compact Hausdorff spaces.

Based on the work of Conley on the dynamics of a single function and on the work of McGehee and Wiandt on iterated closed relations, a generalization of the notion of an attractor of an IFS is given in Sect.

The proposed bivariate models are theoretically sound and tractable, since they are defined by closed relations and are constructed by considering the marginal (univariate) distributions of wind speed and wind direction along with an appropriate dependence structure of the involved variables.

The set of all chain recurrent points for F is denoted by R : = R F. We refer to the following as the Conley-McGehee-Wiandt (CMW) theorem due to their analogs of Theorem 12.7 in the context of dynamical systems and iterated closed relations.

A closed relation between induction of EMT and endowing of stemness characteristic has been demonstrated [46,50,51].

Section 5 is devoted to revealing the closed relation between weakly approximate solutions of vector optimization and variational inequality involving set-valued cone-subinvex mappings.

As discussed in [15] there is a closed relation between the number of the limit cycles in (2.1) and the number of zeros of its related Abelian integral [19].

Moreover, the closed form relations between two objectives are derived for Pareto optimal solutions of pulse tube refrigerator.

The results are summarized in simple closed form relations, well-suited to be used in an experimental situation, and the range of validity for the resulting formulae is discussed.

Analysis is carried out to show the effects of material and geometrical properties, in-plane Byundapplyingraint, foundation stiffness and imperfection on the bucklinGalerkinstbuckling loading capacity of the plates.

In addition, the proposed clustering approach may be analytically represented by closed-form relations for low-complexity computation of the optimal encoding parameters.