Sentence examples for limits of sequence from inspiring English sources

Recall Kuratowski's notion of lower and upper limits of sequence of sets.

Within the limits of sequence comparison, we hypothesized that higher quality assemblies should reveal more RBH relationships, both in absolute terms and as a percentage of BLASTX-annotated sequences.

However, calculating sequence similarity between these two main groups of GSTs tests the limits of sequence alignment algorithms; this distant and generally insignificant level of sequence similarity is not included in the sequence similarity network in Figure 2, resulting in no displayed connection between the two groups.

Some of these curves may be regarded as the limit of a series of geometrical constructions; their lengths or the areas they enclose appear to be the limits of sequences of numbers.

Just as for limits of sequences, the formalization of these ideas is achieved by assigning symbols to "tolerable error" and to "sufficiently close".

The real numbers fill in the gaps by providing additional numbers that are the limits of sequences of approximating rational numbers.

In this paper we develop a structure theory of Einstein manifolds or manifolds with lower Ricci curvature bounds for certain singular spaces that arise as geometric limits of sequences of Riemannian manifolds.

In this paper aK-theoretic classification is given of the simple real rank zeroC*-algebras that can be expressed as inductive limits of sequences of finite direct sums of matrix algebras over finite connected graphs (possibly with dimension drop).

An important problem that arises in different areas of science and engineering is that of computing limits of sequences of vectors {xn}, where xn∈CN with N very large.

An important problem that arises in different areas of science and engineering is that of computing the limits of sequences of vectors {xn}, where xn∈CN with N very large.

This map enters as a crucial ingredient in the invariant used by Elliott to classify the simple unital C*-algebras that arise as inductive limits of sequences of finite direct sums of matrix algebras over C[0, 1].