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Multiset

In mathematics, a multiset (or bag, or mset) is a modification of the concept of a set that, unlike a set, allows for multiple instances for each of its elements. The number of instances given for each element is called the multiplicity of that element in the multiset. As a consequence, an infinite number of multisets exist that contain only elements a…

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Overview

History

Examples

Definition

Basic properties and operations

Counting multisets

Applications

Generalizations

Advanced semantic analysis

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Map overview Semantic statistics

Multiset

Nodes96
Edges95
Triples66
Avg. degree1.98
Density0.020833
Components1

How this topic connects Entity context

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Multiset

Top relations

has application · 17
Multiset → Another, As, For, FROM Student, He, In, Multisets, Richard Rado, Sara, SELECT, Similarly, SQL, That, The, There, They, We
related to history · 8
Multiset → AI, For, Peter Deutsch, Practical, QA4, These, This, Wayne Blizard
related to Examples · 7
Multiset → For, Here, However, In, More, One, Thus
related to Counting multisets · 5
Multiset → Like, So, Stanley, The, This
is a · 4
Multiset → multiset with a finite support, subset of, sum of the multiplicities of all its elements, unique multiset with an empty support
related to External links · 4
Multiset → Learning, Partitions, Wikiversity, Wiktionary-logo-en-v2
related to Generalizations · 4
Multiset → Different, Fuzzy, Real-valued, Signed
related to Generating series · 4
Multiset → As, Hilbert, The, Thus
related to Basic properties and operations · 3
Multiset → An, Elements, This
related to Definition · 3
Multiset → Most, The, This

Important terminology Word statistics

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Important terminology

multisets displaystyle set multiplicity elements number function cardinality choose left right coefficients sets element used finite quad given called multiplicities

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Multisetis asum of the multiplicities of all its elements0.90text
Multisetis asubset of0.90text
Multisetis amultiset with a finite support0.90text
Multisetis aunique multiset with an empty support0.90text
these can be used to prove identities for the multiset coefficients.If α is a nonpositive integer ninstance ofand formulas0.80text
then all terms with kinstance ofand formulas0.80text
Multisethas applicationMultisets0.60section
Multisethas applicationThey0.60section
Multisethas applicationFor0.60section
Multisethas applicationIn0.60section
Multisethas applicationSimilarly0.60section
Multisethas applicationSQL0.60section

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    Min side: 3
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