Sentence examples for the supporting sequence from inspiring English sources

The argument actually shows that p ( T q m z, T q m z ) ≤ r x − ε holds for every m ≥ 0, where { q m } m ≥ 0 is the supporting sequence at the point z.

The supporting sequence data are available in the Additional file 10: Table S5, and were obtained from Brassica database (http://brassicadb.org/brad/index.php).

Proof Let { s k } k ≥ 0 be the supporting sequence at x.

For a C 1 -operator T on a partial metric space ( X, p ) and x ∈ X define the supporting sequence at the point x as the sequence { s k } k ≥ 0, where s 0 = 0 and s k + 1 = s k + n ( T s k x ).

Let { s m } m ≥ 0 be the supporting sequence at u. Let us show by induction on k that if f : N → N 0 is such that f ( m ) ≥ s k, for all m ∈ N, then I = lim m p ( T s k u, T f ( m ) x m ) = p ( u, u ).

Lemma 3.1 Let T be a C 1 -operator on a partial metric space ( X, p ), x ∈ X ∖ R T ( X ), { s k } k ≥ 0 be the supporting sequence at x and k ≥ 1 and i ≥ s k be given integers.

The supporting sequencing files for Figs.  3, 4 and 5 are attached as supplementary files with the manuscript.

In the literature, the proposed frameworks for the services compatibility checking rely on the supported sequences of messages.

The script verified loci of age specific variants for the presence of supporting sequence reads (≥5) in both comparison samples.

Candidate SNPs were sorted according to the amount of supporting sequence evidence and whether they were segregating within or between the two inbred lines; each alternative allele had to be supported by two or more sequences.

In some cases, such duplications may have been intentionally included by the curator of a source PPI dataset to report the experimentally supported sequence of the interactors; this type of duplications were encountered in IntAct and MINT.