Sentence examples for a certain extension of from inspiring English sources

We extend the Hall transform to the infinite dimensional context of non-Abelian gauge theories by replacing the Lie groupGby (a certain extension of ) the spaceA/Gof connections modulo gauge transformations.

power exponentially distributed random variables and a certain extension of it are introduced in Section 3.1.

This method, a certain extension of Kalman filtering, allows very good results in a wide spectrum of cases.

For a large positive integer L and ℓ=1,…,L, if one can find rational points (x ℓ,y ℓ,t ℓ ) on X x,y,t)=0 over a certain extension field of (mathbb {F}_{p}), then one may be able to get (s 1−s 2)f by solving the following linear equation system g(x_{ell}, y_{ell}, t_{ell}) = F(x_{ell}, y_{ell}, t_{ell}) (ell = 1,ldots,L).

However, this approach applies certain extensions of the standard formulation that allow accounting for several industrial scenarios.

If that does not happen -- or if the government does not grant certain extensions of time for negotiations -- Columbia can withdraw the settlement offer.

Later Coquand (1986) proved that certain extensions of the calculus C of constructions are inconsistent.

Certain extensions of the various parts of this theory are discussed in Sect. 5.

Refer to [7 17] and references mentioned therein for certain extensions of this principle.

As in the case of arithmetic, this conception (arguably) intrinsically justifies instances of Replacement and Comprehension for certain extensions of the language of set theory.

In this paper we study fixed point results about certain extensions of the notion of Ćirić quasicontraction to the setting of partial metric spaces, and we give some generalized versions of the fixed point theorem of Matthews as well as the main result of Ilić et al. [35].