Sentence examples for sets of proximity from inspiring English sources

By using the mathematical construct of a residential history in Equation 1, and the notion of super sets of proximity matrices (Equation 5) to represent the changing geometry of place of residence, we have derived local, global and focused tests that are realistic in the sense that they quantify human residential mobility.

One of the things we have put into this building is a set of proximity sensors which act as "location aware".

He tested hypothesis that the given set of proximity values have been assigned randomly by referring the Goodman-Kruskal rank correlation γ statistic to an approximate permutation distribution.

This talk presents a unique set of proximity-directed chemical tools that enables interrogation into functional consequences of specific redox events through precision electrophile targeting in living systems.

In this section, by (B_{T_{1}}) and (B_{T_{2}}) we denote the sets of best proximity points of (T_{1}) and (T_{2}), respectively.

Note that lim n → ∞ A n ⊆ lim n → ∞ A 0 n implies the following inclusion of limit sets lim n → ∞ A n 0 ⊆ lim n → ∞ A 0 n 0 of the sets of best proximity points and the four above limit sets are trivially non-empty.

Assume that the sets of best proximity points A 0 n 0, B 0 n 0, A n 0, and B n 0 are non-empty, where D n 0 = d ( A 0 n, B 0 n ) = d ( A 0 n 0, B 0 n 0 ) and D n = d ( A n, B n ) = d ( A n 0, B n 0 ) ; ∀ n ∈ Z 0 +.

In this paper, we denote the set of best proximity points of T by (B_{mathrm{est}}(T)). Since a best proximity point reduces to a fixed point if T is a self-mapping, the best proximity point theorems are natural generalizations of the Banach contraction principle.

In our previous efforts to develop a soil depth model based upon topographic and land cover variables, we derived a set of hydrological proximity measures (HPMs) from a Digital Elevation Model (DEM) as potential explanatory variables for soil depth.

We shall denote the set of best proximity points of T by (operatorname {Bpp}(T)).

Moreover, the set of best proximity points of T is nonempty.