Sentence examples for exist open from inspiring English sources

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.

By (2), there exist open neighborhood of and open neighborhood of, open neighborhood of such that whenever.

Now, by Proposition 1, there exist open L-sets {V1,V2,….. Vn + 2} such that F i < V i < U i for each i and {V i } are similar to {F i }.

Thus for each, we have whenever, By (1), there exist open neighborhood of with and open neighborhood of such that whenever, which implies that (3.2). whenever,, The proof is finished.

Inviting Shapiro to Dubai seemed to fit with other, more ambitious state-building efforts in the United Arab Emirates — whether in the form of building new government institutions where they did not exist, opening a Guggenheim or, in this case, opening a Harvard for the region.

For general-purpose search on academic literature, there exist open-domain search engines such as Google Scholar and Microsoft Academic Search, and domain-specific search engines such as PubMed.

end{aligned}Since X is amenable, 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.

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