Sentence examples for direct generalization from inspiring English sources

The incorporation of (1.2b), (1.3 - 1.4 1.3 - 1.4 to build the general contractive condition allows an obvious direct generalization of the usual contractive condition, based on the Banach principle combined with a Kannan-type constraint, since both of them do not imply each other.

A rather direct generalization can be drawn that says that, if a theory has any infinite model, then, for any infinite cardinal number, it has a model of that cardinality.

Thus, this method is a direct generalization of EMSM.

The results provide a direct generalization of Luenberger's linear theory of functional observers to nonlinear systems.

As a direct generalization of almost periodicity, we consider the notion of asymptotic almost periodicity.

The next example is a direct generalization of monotone nonexpansive mapping.

These methods, which allow the use of general non-orthogonal mixed-polyhedral unstructured grids, are direct generalizations of the canonical staggered-grid finite difference method.

H-type groups were introduced by Kaplan [7] as direct generalizations of Heisenberg groups.

for the internal energy, and entropy, density functionals, respectively, represent direct generalizations of the free energy density functional in Eq. (15) of Elder et al. (2007).

Bonnesen himself proved several inequalities of the form (3) in the Euclidean plane (cf. [5, 6]), but he was not able to obtain direct generalizations of his two-dimensional results.

Groups of H-type were introduced by Kaplan in [7] as direct generalizations of Heisenberg groups, and they have been studied quite extensively; see [16 19] and the references therein.