Sentence examples for holds exists from inspiring English sources

Every path (w^{BR_{i}}_{k}) for which holds (exists j : w^{BR_{i}}_{j} subseteq w^{BR_{i}}_{k}) is irrelevant for calculation and (vec {w}) is a finite set.

Since kinds are revealed by science, a science can revise which kinds it holds exist: phlogisticated air was regarded as a kind until after Lavoisier's chemical revolution.

on, the limits exist and impulsive conditions in IBVP (2.1) hold, exist and.

In particular, whenever the UCEM property holds, there exists an efficient (i.e., polynomial-time) randomized algorithm.

Since and condition (2.1) holds, there exists a point such that.

Since holds, there exists a continuous function such that for all.

As in the proof of Theorem 2.2, we get that (2.24) holds and exists, where.

Assume that (1.2) holds, there exists a random radius (r_{2} omega)) such that for P-a.s.s

Let the following coercivity condition holds: There exists a nonempty closed bounded subset of such that for all there exists with satisfying.

Since (H6) holds, there exists a continuous function (varphi_{r}(t)>0) such that (f t,u(t))>varphi_{r}(t)) for all ((t,u in 0,1 times 0,r]).

If this holds, there exists a solution u(t) of Equation (3) such that v 0 ( t ) ≤ u ( t ) ≤ w 0 ( t ), Open image in new window.