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A generalized type of set in which multiple occurrences of an element are permitted.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences, set-theory
Examples
- Two words are anagrams if they are made up of the same multiset of letters.
- 2006, Xin Chen, Lan Liu, Zheng Liu, Tao Jiang, On the Minimum Common Integer Partition Problem, Tiziana Calamoneri, Irene Finocchi, Giuseppe F. Italiano (editors), Algorithms and Complexity: 6th Italian Conference CIAC 2006, Proceedings, Springer, LNCS 3998, page 236, A partition of a positive integer n is a multiset of positive integers that add up to exactly n, and an integer partition of a multiset S of integers is defined as the multiset union of partitions of integers in S.
- 2012, Edward A. Scheinerman, Mathematics: A Discrete Introduction Brooks/Cole (Cengage Learning), page 102, Two multisets are the same provided they contain the same elements with the same multiplicities. For example, {1, 2, 3, 3} = {3, 1, 3, 2}, but {1, 2, 3, 3} ≠ {1, 2, 3, 3, 3}.
Meaning relationships
Synonyms: bag, mset
Antonyms: none provided
Coined by Nicolaas Govert de Bruijn, multi- + set.
Across languages
Translations
10 source translations are retained for this English entry.
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Chinese Mandarin:
多重集
(duōchóngjí)
— generalized type of set that may contain multiple occurrences of elements
-
Chinese Mandarin:
多重集合
(duōchóngjíhé)
— generalized type of set that may contain multiple occurrences of elements
-
Czech:
multimnožina
— generalized type of set that may contain multiple occurrences of elements
-
Finnish:
monijoukko
— generalized type of set that may contain multiple occurrences of elements
-
French:
multiensemble
— generalized type of set that may contain multiple occurrences of elements
-
German:
Multimenge
— generalized type of set that may contain multiple occurrences of elements
-
Italian:
multiinsieme
— generalized type of set that may contain multiple occurrences of elements
-
Japanese:
多重集合
(tajūshūgō)
— generalized type of set that may contain multiple occurrences of elements
-
Russian:
мультимно́жество
(mulʹtimnóžestvo)
— generalized type of set that may contain multiple occurrences of elements
-
Swedish:
multimängd
— generalized type of set that may contain multiple occurrences of elements
