Sentence examples for classes of complete from inspiring English sources

Classes of complete isotropic GSPs can be constructed systematically using this method.

For example the important classes of complete semilattices, CSLat, and complete atomic Boolean algebras, CABA, form varieties only with this broader notion of signature.

Let (mathcal{C}) be the class of complete metric spaces.

Let (mathcal{C}) be the class of complete lattices.

Moreover, all hierarchies for the influence relation are achievable in the class of complete VGA.

We give a detailed description of the Schwartz kernel of the resolvent of the Laplacian on a certain class of complete Riemannian manifolds with negative sectional curvature near infinity.

It is well known that he influence relation orders the voters the same way as the classical Banzhaf and Shapley Shubik indices do when they are extended to the voting games with abstention (VGA) in the class of complete games.

We note that, as proved in Zanardo et al. (1999), the class of complete bundled trees is not definable by Ockhamist formulae within the class of all bundled trees, so results about definability and completeness do not readily transfer in either direction.

In 1994, Matthews [1] generalized the Banach contraction principle to the class of complete partial metric spaces: a self mapping T on a complete partial metric space (X, p) has a unique fixed point if there exists 0 ≤ k < 1 such that p(Tx, Ty) ≤ kp x, y) for all x, y ∈ X.

In this paper we obtain the equivalence of the Gromov hyperbolicity between an extensive class of complete Riemannian surfaces with pinched negative curvature and certain kind of simple graphs, whose edges have length 1, constructed following an easy triangular design of geodesics in the surface.

We use this approach to obtain a characterization of a large class of complete fuzzy metric spaces by means of a fuzzy version of Caristi's fixed point theorem, obtaining, in this way, partial solutions to a recent question posed in the literature.