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Sequence

In mathematics, a sequence is a collection of objects possibly with repetition, that come in a specified order. Like a set, it contains members (also called elements, or terms). Unlike a set, the same elements can appear multiple times at different positions in a sequence, and unlike a set, the order does matter. The notion of a sequence can be…

Applications, Examples and notation & Use in other fields of mathematics

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Examples and notation

29 related topics

Use in other fields of mathematics

24 related topics

Formal definition and basic properties

13 related topics

Limits and convergence

11 related topics

Topics to explore

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Overview

Examples and notation

Formal definition and basic properties

Limits and convergence

Use in other fields of mathematics

Advanced semantic analysis

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Map overview Semantic statistics

Sequence

Nodes142
Edges141
Triples110
Avg. degree1.99
Density0.014085
Components1

How this topic connects Entity context

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Sequence

Top relations

is a · 12
Sequence → collection of objects possibly with repetition, generalization of a sequence, means of computing homology groups by taking successive approximations, ordinary sequence, ordinary sequence.ComputingIn computer science, sequence defined by a recurrence relation of the form a n, sequence formed from the given sequence by deleting some of the elements without disturbing the relative positions of the remaining elements, sequence indexed by, sequence whose terms are integers.A polynomial sequence is a sequence whose terms are polynomials.A positive integer sequence is sometimes called multiplicative, sequence whose terms become arbitrarily close together as n gets very large, sequence whose terms have one of two discrete values, simple classical example
related to Examples and notation · 8
Sequence → Because, For, In, One, Other, Sequences, There, This
related to Other types of sequences · 8
Sequence → An, False, Fibonacci, Heads/Tails, In, Moreover, Some, True
related to Definition · 7
Sequence → Also, Although, Formally, Here, In, The, There
related to Cauchy sequences · 6
Sequence → Cauchy, In, More, Non-example, One, The
related to External links · 6
Sequence → EMS Press, Encyclopedia, Integer Sequences, Integer SequencesJournal, Mathematics, The On-Line Encyclopedia
related to Indexing · 6
Sequence → For, It, One, Other, The, This
related to Streams · 6
Sequence → An, Cantor, Infinite, The, They, This
related to Bounded · 4
Sequence → Any, If, In, Likewise
related to Defining a sequence by recursion · 4
Sequence → In, Sequences, This, To

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Important terminology

sequences displaystyle called elements set numbers finite example infinite function textstyle number spaces real space one integers defined mathbb infty

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Sequenceis acollection of objects possibly with repetition0.90text
Sequenceis asequence indexed by0.90text
Sequenceis asimple classical example0.90text
Sequenceis asequence defined by a recurrence relation of the form a n0.90text
Sequenceis asequence formed from the given sequence by deleting some of the elements without disturbing the relative positions of the remaining elements0.90text
Sequenceis asequence whose terms are integers.A polynomial sequence is a sequence whose terms are polynomials.A positive integer sequence is sometimes called multiplicative0.90text
Sequenceis asequence whose terms have one of two discrete values0.90text
Sequenceis asequence whose terms become arbitrarily close together as n gets very large0.90text
Sequenceis ameans of computing homology groups by taking successive approximations0.90text
Sequenceis ageneralization of a sequence0.90text
Sequenceis aordinary sequence.ComputingIn computer science0.90text
Sequenceis aordinary sequence0.90text

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