Sentence examples for limit sequence from inspiring English sources

Furthermore, the limit sequence is also an almost periodic sequence.

Furthermore, the limit sequence is also a discrete almost periodic function.

Furthermore, since T : ⋃ i ∈ p ̄ A i → ⋃ i ∈ p ̄ A i, the limit sequence (3.30) is unique by successive iterations from any of the best proximity points.

Since there is a convergence to it from any initial point in ⋃ i ∈ p ̄ A i, any q-sequence of iterates converges to such a limit sequence, irrespective of the initial point, except for the order of the elements.

In the case that all the subsets A i ⊂ X intersect, the above limit sequence reduces to a unique fixed point allocated within the intersection of all such subsets.

It remains to prove that the elements of the limit sequence ẑ i are not dependent on the initial point x i ∈ A i ; ∀ i, m ≥ i ∈ p ̄ to construct any sequence of iterates except, perhaps, in the order that the limiting points are allocated within such a limiting sequence.

An important distinction between our study and these previous reports is that we analyzed tumors of all stages and did not limit sequencing to late-stage tumors only.

In this instance the DNA was also cut with Csp6I (5′-G^TAC) prior to enrichment to limit sequencing to the 50 bp around Csp6I cut sites.

Mature AFP1 comprises 86 residues and exhibits limited sequence similarity to the cellulose-binding domains of bacterial cellulases and xylanases.

However, if a0 = D = 0 then the intersection of both circles is { 0, 0)} so that the limiting sequence consists of a repeated fixed point.

Functional conservation acts as a strong restraint limiting sequence and, even more, structural divergence [57].