Sentence examples for whenever it satisfies from inspiring English sources

We say that \ \preceq\) weakly orders a set \(S\) of options whenever it satisfies the following two conditions: Axiom 1 (Completeness) For any \ A, B\in S\): either \(A\preceq B\) or \(B\preceq A\).

An ordering relation ≽ on P is said to be a preorder, whenever it satisfies the following two conditions: 1. (reflexive) x ≽ x, for every x ∈ P.   2.

A Banach space X is WNUS whenever it satisfies the above condition with 'for some (varepsilonin 0,1))' in place of 'for every (varepsilon>0)' (see [6]).

As an application we conclude that the fundamental group π1(M,x0) of a metric measure space (M,d,m) is finite whenever it satisfies locally the curvature-dimension condition CD K,N) with positive K and finite N.

We shall call the strongly continuous semigroup ({Z(t)}_{tgeq0}) defined on X a normalized semigroup whenever it satisfies Z t) (e)=e, quad mbox{for all }t>0.

A Banach space X is said to have the WFPP whenever it satisfies the above condition from the definition of FPP with 'weakly compact' in place of 'bounded closed'.

The sub-group of heavy smokers (≥30 cigarettes per day) should be specifically evaluated whenever it is large enough to satisfy statistical requirements.

Whenever it ends, it ends.

"Yes, whenever it was necessary".

This happens whenever it rains.

Whenever it's ready, it's ready.