Sentence examples for exist sequence from inspiring English sources

Since, there exist sequence and disjont subsets of such that (2.6)  .

Since the pair (A, S) is sequentially continuous of type (Af) and R-weakly commuting of type (Af), there exist sequence {x n } in X with lim n → ∞ A x n = lim n → ∞ S x n = u, for some u ∈ X such that lim n → ∞ A S x n = A u and lim n → ∞ S S x n = S u.

These database files, 14 consisting of the different pathogen-exposed proteins and 3 of the most powerful recent databases, including linear B-cell epitopes, were generated to analyse if there exist sequence identities between human proteins and the collected surface microorganism proteins or between the same human proteins and the complete set of linear B-cell epitopes obtained.

In the case of LINEs, for which we expected multiple subfamilies to exist, sequence divergence was estimated excluding sites inferred to define element subfamilies (see supplementary methods, Supplementary Material online), similar to (Aleshin and Zhi 2010).

However, surprisingly, in the rest 13 genomes, high scoring CRP-like binding sites seem to appear in the inter-TU regions with a higher probability than in the randomly selected coding regions, suggesting that there exist sequence patterns similar to CRP binding sites in these cyanobacterial genomes.

Then there exist sequences {Bn}∞n=1and {An}∞n=1of positive and real numbers, respectively, such that sequence of random variables[formula]converges in distribution to the semicircle law if and only if the function[formula]is slowly varying in Karamata's sense.

(3 If, then there exist sequences, such that.

If, then there exist sequences and with such that for.

if there exist sequences and in such that for some.

There exist sequences in and in such that as.

For such that, there exists such that and there exist sequences in and in such that.