Sentence examples for regular for all from inspiring English sources

Assume that T i is uniformly asymptotically regular for all i ≥ 1 and F = ⋂ i = 1 ∞ F ( T i ) ≠ ∅.

The typical singularity pattern in the case of confined singularities is the following: the solution is regular for all values of the index up to some value, then a singularity appears and propagates up to whereupon it disappears and the solution is again regular for all values of the index larger than.

Let f : E → R be a convex and lower semicontinuous function with C ⊂ int ( D ( f ) ) such that f ( x ) ≥ 0 for all x ∈ C and f ( 0 ) = 0. Assume that T i is uniformly asymptotically regular for all i ≥ 1 and F = ⋂ i = 1 ∞ F ( T i ) ≠ ∅.

For each i ≥ 1, we have ∥ T i n + 1 x n − p ∥ ≤ ∥ T i n + 1 x n − T i n x n ∥ + ∥ T i n x n − p ∥. Since T i is uniformly asymptotically regular for all i ≥ 1, it follows from (3.22) that ∥ T i n + 1 x n − p ∥ = 0. (3.23).

Let { T i } i = 1 ∞ be a countable family of closed and uniformly totally quasi-ϕ-asymptotically nonexpansive mappings with the sequences ν n, μ n of nonnegative real numbers with ν n → 0, μ n → 0 as n → ∞ and a strictly increasing continuous function ψ : R + → R + with ψ ( 0 ) = 0. Assume that T i is uniformly asymptotically regular for all i ≥ 1 and F = ⋂ i = 1 ∞ F ( T i ) ≠ ∅.

A regular for all of series one (2005) and series two (2006), Piper later returned for three episodes of the programme's fourth series (2008) and appeared in feature length specials in both 2010 and 2013.

A national campaign against drug abuse was established, regular national surveys were approved, and a ministerial council on drug strategy was established to provide a regular forum for all national health and police (or justice) ministers.

Local ethnic minorities to be involved in regular training for all police.

The present curator, Danièle Devynck, receives regular applications for all sorts of reproductions.

Aware of the imminent publication, Sierra Leone launched a programme of regular screening for all male survivors from Ebola two weeks ago.

We at Women's Aid are working with Acpo, HMIC and a number of forces to ensure that those plans include specialist-led, regular training for all officers.