Sentence examples for any given string from inspiring English sources

For any given string of characters, we can tell if it is a proof.

Unfortunately, no function is best in this sense, since for any given string σ with f-complexity |σ| − k, we can design a function g as follows: on input 1, output σ; on input nδ (for any n), output f. (Generalising, we can add arbitrarily long prefixes of length m onto the inputs to g and have better-than-f compression for 2m sequences).

The reason might be that the banana is pushed out sideways with the peel pulling on a large part of its length at once, rather than gripping any given string only at a single point down across which the peel pulled but still leaving upward and downward points on the fruit to hold the string.

Be able to write a regular expression, decide whether a given string is matched by a regular expression, etc.

A suffix tree, which provides us with a linear space full-text index of a given string, is a fundamental data structure for string processing and information retrieval.

Shortest common supersequence (SCS) is a classical NP-hard problem, where a string to be constructed that is the supersequence of a given string set.

While writing IPv6-capable applications, situations where it is needed to extract a numeric IPv6 address from a given string (such as a URL) will be encountered.

Alternative models of the recruitment process were represented by SCFGs, each of which stipulated a different joint probability for a given string.

As a simple example, consider searching for a given string in a protein-coding DNA sequence.

We will use SumH as the sum of the run-lengths of all the H-runs of a given string.

Suffix trees [ 17] are tree data structures which allow for fast access to all suffixes of a given string.