Sentence examples for establish characterizations from inspiring English sources

Especially, using the fixed set of isotone derivations, we establish characterizations for some kinds of lattices.

We establish characterizations of both boundedness and of compactness of a general class of fractional integral operators involving the Riemann-Liouville, Hadamard, and Erdelyi-Kober operators.

Using the fixed sets of isotone derivations, we establish characterizations of a chain, a distributive lattice, a modular lattice and a relatively pseudo-complemented lattice, respectively.

In several papers, to establish characterizations of solution sets of inequality constrained programming problems, Lagrange functions which were associated to the problems were proved to be constant on their optimal solution sets [1 5].

Sections 5 and 6 are devoted to establishing characterizations for many other types of stability, like asymptotic stability, uniform asymptotic stability, global asymptotic stability, exponential stability, and uniform exponential stability for the abstract Cauchy problem (1.11).

This paper establishes characterization metrics of both individual VRE resources and aggregated VRE resource sets with the goal of quantifying the integration requirements of various typologies.

With an established characterization method, we wanted to gain more insight into the formation of branched polyUb chains.

The director, Jack O'Brien, who utilizes the best of what Broadway has to offer — a big stage, a solid budget, slick production values — has not only created a milieu in which the performers can shine; he allows them the space to establish their characterizations.

In this section, we shall establish some characterizations of well-posedness for (PSVQEP).

Our first goal is to establish various characterizations of type I and type II blow-ups.

As a consequence of our results, we establish new characterizations of the UMD Banach spaces.