Sentence examples for several characterizations of from inspiring English sources

We obtain several characterizations of CF subspaces, including one in terms of Samuel multiplicity.

We will give several characterizations of basic sequences that "respect the lattice structure", and discuss some of the more unexpected corollaries.

The second main result, Theorem 5, provides several characterizations of the Wm,p-extension domains for 1

In this paper, a new notion, that of constrained input-to-state stability (cISS), is presented and several characterizations of cISS are obtained.

The aim of our paper is to give several characterizations of the Malliavin covariance matrix which are equivalent to Hörmander's condition (and consequently imply the hypoellipticity).

Several characterizations of Hω,L(Rn), including the molecular characterization, the Lusin-area function characterization and the maximal function characterization, are established.

As applications, we not only prove the existence of normal families of solutions for modified equilibrium equations but also obtain several characterizations and fundamental properties of these new classes of superharmonic multifunctions.

In Section 4, we study a new q-translation operator and its related q-convolution and we give several characterizations from the space of entire functions into itself that commute with the q-translation.

Several equivalent characterizations of the independent sets of the induced matroid are obtained through rough sets.

Several semantic characterizations of these postulates have been given in terms of orderings over states [20]-[22] [20]-[22]

By using Proposition 2.3, we establish several equivalent characterizations of the constrained extremal solution of linear inclusions in Banach spaces by means of the algebraic operator parts, the metric generalized inverse of multi-valued linear operator, and the dual mapping of the spaces.