See multiset in All languages combined, or Wiktionary
Download JSON data for multiset meaning in English (4.8kB)
{
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"1": "en",
"2": "Nicolaas Govert de Bruijn",
"nobycat": "1"
},
"expansion": "Coined by Nicolaas Govert de Bruijn",
"name": "coin"
},
{
"args": {
"1": "en",
"2": "multi",
"3": "set"
},
"expansion": "multi- + set",
"name": "prefix"
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],
"etymology_text": "Coined by Nicolaas Govert de Bruijn, multi- + set.",
"forms": [
{
"form": "multisets",
"tags": [
"plural"
]
}
],
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"expansion": "multiset (plural multisets)",
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"pos": "noun",
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{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
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"parents": [
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"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Set theory",
"orig": "en:Set theory",
"parents": [
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"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
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}
],
"examples": [
{
"text": "Two words are anagrams if they are made up of the same multiset of letters.",
"type": "example"
},
{
"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.",
"type": "quotation"
},
{
"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."
},
{
"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}."
}
],
"glosses": [
"A generalized type of set in which multiple occurrences of an element are permitted."
],
"id": "en-multiset-en-noun-e1B4q~gt",
"links": [
[
"set theory",
"set theory"
],
[
"set",
"set"
],
[
"element",
"element"
]
],
"raw_glosses": [
"(set theory) A generalized type of set in which multiple occurrences of an element are permitted."
],
"related": [
{
"word": "multisubset"
},
{
"word": "submultiset"
},
{
"word": "multigraph"
},
{
"word": "multirelation"
}
],
"synonyms": [
{
"word": "bag"
},
{
"word": "mset"
}
],
"topics": [
"mathematics",
"sciences",
"set-theory"
],
"translations": [
{
"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"
},
{
"code": "cs",
"lang": "Czech",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"tags": [
"feminine"
],
"word": "multimnožina"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"word": "monijoukko"
},
{
"code": "fr",
"lang": "French",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"tags": [
"masculine"
],
"word": "multiensemble"
},
{
"code": "de",
"lang": "German",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"tags": [
"feminine"
],
"word": "Multimenge"
},
{
"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"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"tags": [
"common-gender"
],
"word": "multimängd"
}
],
"wikipedia": [
"multiset"
]
}
],
"word": "multiset"
}
{
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"2": "Nicolaas Govert de Bruijn",
"nobycat": "1"
},
"expansion": "Coined by Nicolaas Govert de Bruijn",
"name": "coin"
},
{
"args": {
"1": "en",
"2": "multi",
"3": "set"
},
"expansion": "multi- + set",
"name": "prefix"
}
],
"etymology_text": "Coined by Nicolaas Govert de Bruijn, multi- + set.",
"forms": [
{
"form": "multisets",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "multiset (plural multisets)",
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}
],
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"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "multisubset"
},
{
"word": "submultiset"
},
{
"word": "multigraph"
},
{
"word": "multirelation"
}
],
"senses": [
{
"categories": [
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"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English nouns",
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"English terms with quotations",
"English terms with usage examples",
"Japanese terms with redundant script codes",
"Mandarin terms with redundant transliterations",
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"examples": [
{
"text": "Two words are anagrams if they are made up of the same multiset of letters.",
"type": "example"
},
{
"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.",
"type": "quotation"
},
{
"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."
},
{
"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}."
}
],
"glosses": [
"A generalized type of set in which multiple occurrences of an element are permitted."
],
"links": [
[
"set theory",
"set theory"
],
[
"set",
"set"
],
[
"element",
"element"
]
],
"raw_glosses": [
"(set theory) A generalized type of set in which multiple occurrences of an element are permitted."
],
"synonyms": [
{
"word": "bag"
},
{
"word": "mset"
}
],
"topics": [
"mathematics",
"sciences",
"set-theory"
],
"wikipedia": [
"multiset"
]
}
],
"translations": [
{
"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"
},
{
"code": "cs",
"lang": "Czech",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"tags": [
"feminine"
],
"word": "multimnožina"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"word": "monijoukko"
},
{
"code": "fr",
"lang": "French",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"tags": [
"masculine"
],
"word": "multiensemble"
},
{
"code": "de",
"lang": "German",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"tags": [
"feminine"
],
"word": "Multimenge"
},
{
"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"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "generalized type of set that may contain multiple occurrences of elements",
"tags": [
"common-gender"
],
"word": "multimängd"
}
],
"word": "multiset"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 using wiktextract (f4fd8c9 and c9440ce). 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.
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