Sentence examples for exists open from inspiring English sources

end{aligned}Since X is amenable, there exists Open image in new window.

The metric space (X, d) is called amenable if for every (R>0) and (varepsilon > 0) there exists Open image in new window.

(ii) The metric space (X, d) is called amenable if for every (R>0) and (varepsilon > 0) there exists Open image in new window.

Although some stability conditions for impulsive delay neural networks proposed in [9, 14, 15, 18 22], they have some conservatism to some extent, and there still exists open room for further improvement.

if (p_{t} in mathcal {G}_{t} ) and there exists Open image in new window such that for some event (D in mathcal {G}_{t}) Open image in new window (60).

A subset E of N is said to have density (asymptotic or natural) δ(E) if δ E = lim n → ∞ 1 n ∑ k = 1 n ϰ E k exists, Open image in new window.

In September 2001, a reproduction of the Blackfriars Playhouse, an indoor theater partly owned by Shakespeare (the original no longer exists), opened in downtown Staunton.

Germline transformation technology for both A. gambiae and A. stephensi (the major malaria vectors in Africa and India respectively) now exists, opening the possibility to understand mechanisms of vector competence and the prospect of engineering Plasmodium-refractory anopheline mosquitoes.

By Lemma 3.1, there exist open neighborhood of and open neighborhood of, such that whenever.

Nevertheless, there do exist open questions concerning the nature of the interaction.

Then there exist open neighborhood of and open neighborhood of, and open neighborhood of such that whenever,, Proof.