Sentence examples for limiting sequence from inspiring English sources

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.

It is noted that the repeated value of the best proximity point (a0, 0) in the limiting sequence is due to the fact that the circumference being the boundary of A1 is invariant under T, although infinitely many different cyclic self-mappings can be defined on the same two subsets A1, 2 so that a limiting sequence is reached having a common (perhaps only) the best proximity points with S*.

Such a limiting sequence is of size q ≥ p (with the inequality being strict if there is at least one iteration with image in the same subset as its domain) where p of its elements (all of them if q = p) are best proximity points between adjacent 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.

The existence of a unique closed finite limiting sequence on any sequence of iterates from any initial point in the union of the subsets is proven if X is a uniformly convex Banach space and all the subsets of X are non-empty, convex and closed.

The existence of a unique closed finite limiting sequence on any sequence of iterations from any initial point in the union of the subsets is proven if X is a uniformly convex Banach space and all the subsets of X are nonempty, convex and closed.

Limiting sequencing depth to 10 million reads per sample can reduce the costs and can help the biologists to sequence more replicates.

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

The CHEB42A extracellular domain shows limited sequence similarity to aryl sulfotransferases of the SULT1A subfamily (Fig. 1).

HpPgdA is a soluble protein of 293 amino acids, which has limited sequence similarity with enzymes of the polysaccharide deacetylase family (pfam01522).

Mac was originally named because it had limited sequence homology to the α-subunit of the leukocyte β2 integrin, Mac-1 [85].