In mathematics, a subsequence of a given sequence is a sequence that can be derived from the given sequence by deleting some or no elements without changing...

A longest common subsequence (LCS) is the longest subsequence common to all sequences in a set of sequences (often just two sequences). It differs from...

science, the longest increasing subsequence problem aims to find a subsequence of a given sequence in which the subsequence's elements are sorted in an ascending...

bounded sequence in R n {\displaystyle \mathbb {R} ^{n}} has a convergent subsequence. An equivalent formulation is that a subset of R n {\displaystyle \mathbb...

made possible by maintaining a linked hierarchy of subsequences, with each successive subsequence skipping over fewer elements than the previous one (see...

defined on a closed and bounded interval has a uniformly convergent subsequence. The main condition is the equicontinuity of the family of functions...

the algorithm efficiently computes the length of a longest increasing subsequence in a given array. The algorithm's name derives from a simplified variant...

and computer science, in the longest alternating subsequence problem, one wants to find a subsequence of a given sequence in which the elements are in...

(r − 1)(s − 1) + 1 contains a monotonically increasing subsequence of length r or a monotonically decreasing subsequence of length s. The proof appeared in the same...

subnet is a generalization of the concept of subsequence to the case of nets. The analogue of "subsequence" for nets is the notion of a "subnet". The definition...

reference summaries. ROUGE-L: Longest Common Subsequence (LCS) based statistics. Longest common subsequence problem takes into account sentence-level structure...

sequentially compact if every sequence of points in X has a convergent subsequence converging to a point in X {\displaystyle X} . Every metric space is...

starting point of an infinite increasing subsequence. The existence of such infinite increasing subsequences is sometimes taken as a definition for well-quasi-ordering...

repeats, finding tandem repeats, and finding unique subsequences and missing (un-spelled) subsequences. Alignment problems: that deal with comparison between...

known as Hunt–McIlroy algorithm, is a solution to the longest common subsequence problem. It was one of the first non-heuristic algorithms used in diff...

substring of "It was the best of times". In contrast, "Itwastimes" is a subsequence of "It was the best of times", but not a substring. Prefixes and suffixes...

cluster) subsequence time series clustering (single timeseries, split into chunks using sliding windows) time point clustering Subsequence time series...

known as higher-order primes or prime-indexed primes (PIPs), are the subsequence of prime numbers that occupy prime-numbered positions within the sequence...

into a subsequence of S {\displaystyle S} of length at most three. First, y 4 {\displaystyle y_{4}} is inserted into the three-element subsequence ( x 1...

vast majority of text comparison software based on the longest common subsequence problem algorithm incorrectly report moved text as unlinked additions...

mathematics, a subsequential limit of a sequence is the limit of some subsequence. Every subsequential limit is a cluster point, but not conversely. In...

every infinite sequence of points sampled from the space has an infinite subsequence that converges to some point of the space. The Bolzano–Weierstrass theorem...

uniformly bounded sequence of monotone real functions admits a convergent subsequence. In other words, it is a sequential compactness theorem for the space...

theorem is a result from probabilistic combinatorics. It deals with the subsequences of a randomly uniformly drawn permutation from the set { 1 , 2 , … ,...

above and bounded from below, then the sequence is said to be bounded. A subsequence of a given sequence is a sequence formed from the given sequence by deleting...

mathematics, a fractal sequence is one that contains itself as a proper subsequence. An example is 1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 5, 1, 2, 3,...

Iterative Viterbi decoding is an algorithm that spots the subsequence S of an observation O = {o1, ..., on} having the highest average probability (i...

contained in a bounded set, the theorem guarantees the existence of a subsequence { K n m } {\displaystyle \{K_{n_{m}}\}} and a convex set K {\displaystyle...

2002 for use in the Python programming language. The algorithm finds subsequences of the data that are already ordered (runs) and uses them to sort the...

{\displaystyle {\mathcal {S}}} is to B {\displaystyle {\mathcal {B}}} as a subsequence is to a sequence (that is, the relation ≥ , {\displaystyle \geq ,} which...