Sentence examples for in the framework of sets from inspiring English sources

end{aligned}We observe that this definition is the counterpart in the framework of sets of finite perimeter of the notion of quasi-minimum introduced by Giaquinta and Giusti in [79] in the context of variational integrals.

The results are compared to each other and some limited observations in the framework of setting up a rapidly relocatable ocean model.

On the basis of reference points [39], Gong et al. proposed an approach of determining the preferred region of a population by an achievement scalarizing function in the framework of set-based evolution [27].

The main idea is that in the framework of set-based evolution, problem (1) is first transformed into a bi-objective one, whose objectives are the hyper-volume and average crowding distance.

In the framework of set-based evolution integrating preferences, we have proposed another set-based EA that integrates preferences, PSEA-m, by developing an adaptive Gaussian mutation operator guided by preferred regions in this paper, which effectively and fully uses the evolutionary information of a population.

In this section, we will propose some inequalities with multiple uncertain sets in the framework of uncertain set theory.

The necessary effect of information granulation is accomplished in the framework of fuzzy sets, especially via context-sensitive (conditional) fuzzy clustering.

In this study, our method not only tests gene interactions in the framework of gene set enrichment analysis, but also extracts core sets of gene interactions that contribute to the variation of a phenotype of interest.

This topology optimization technique can handle multiple constraints easily in the framework of level set method and at the same time preserve the signed distance property of the level set functions.

In the framework of "The setting" section, we now study the problem of robust superreplication of a contingent claim in a dynamical setting.

To carry out seismic hazard analysis in the framework of fuzzy set theory, it may become necessary to convert probabilistic information regarding some of the variables into triangular or trapezoidal fuzzy sets.