See multiset in All languages combined, or Wiktionary
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"examples": [
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"text": "Two words are anagrams if they are made up of the same multiset of letters.",
"type": "example"
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"ref": "2002, Gheorghe Pǎun, Membrane Computing: An Introduction, Springer, page 49:",
"text": "Membrane computing essentially deals with multisets, which are sets with multiplicities associated with their elements.",
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"text": "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,\nA 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."
},
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"text": "2012, Edward A. Scheinerman, Mathematics: A Discrete Introduction Brooks/Cole (Cengage Learning), page 102,\nTwo 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}."
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"A generalized type of set in which multiple occurrences of an element are permitted."
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"id": "en-multiset-en-noun-e1B4q~gt",
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"(set theory) A generalized type of set in which multiple occurrences of an element are permitted."
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"related": [
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"word": "multisubset"
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{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "duōchóngjí",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"word": "多重集"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "duōchóngjíhé",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"word": "多重集合"
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"sense": "generalized type of set that may contain multiple occurrences of elements",
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"word": "multimnožina"
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"sense": "generalized type of set that may contain multiple occurrences of elements",
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"sense": "generalized type of set that may contain multiple occurrences of elements",
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"word": "multiensemble"
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"lang": "German",
"sense": "generalized type of set that may contain multiple occurrences of elements",
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"feminine"
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"word": "Multimenge"
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"lang": "Italian",
"sense": "generalized type of set that may contain multiple occurrences of elements",
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"word": "multiinsieme"
},
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"alt": "たじゅうしゅうごう",
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"roman": "tajūshūgō",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"word": "多重集合"
},
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"roman": "mulʹtimnóžestvo",
"sense": "generalized type of set that may contain multiple occurrences of elements",
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"neuter"
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"word": "мультимно́жество"
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"word": "multiset"
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{
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},
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"code": "cmn",
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"roman": "duōchóngjí",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"word": "多重集"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "duōchóngjíhé",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"word": "多重集合"
},
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"code": "cs",
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"sense": "generalized type of set that may contain multiple occurrences of elements",
"tags": [
"feminine"
],
"word": "multimnožina"
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"lang": "Finnish",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"word": "monijoukko"
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"code": "fr",
"lang": "French",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"tags": [
"masculine"
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"word": "multiensemble"
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"code": "de",
"lang": "German",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"tags": [
"feminine"
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"word": "Multimenge"
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{
"code": "it",
"lang": "Italian",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"tags": [
"masculine"
],
"word": "multiinsieme"
},
{
"alt": "たじゅうしゅうごう",
"code": "ja",
"lang": "Japanese",
"roman": "tajūshūgō",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"word": "多重集合"
},
{
"code": "ru",
"lang": "Russian",
"roman": "mulʹtimnóžestvo",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"tags": [
"neuter"
],
"word": "мультимно́жество"
},
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"code": "sv",
"lang": "Swedish",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"tags": [
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"word": "multimängd"
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"word": "multiset"
}
Download raw JSONL data for multiset meaning in English (4.7kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-08 from the enwiktionary dump dated 2024-12-04 using wiktextract (bb46d54 and 0c3c9f6). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.