See supremum on Wiktionary
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"word": "essential supremum"
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"ref": "2006, Charalambos D. Aliprantis, Kim C. Border, Infinite Dimensional Analysis: A Hitchhiker's Guide, 3rd edition, Springer, page 8:",
"text": "A sublattice of a lattice is a subset that is closed under pairwise infima and suprema.",
"type": "quote"
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{
"ref": "2010, James S. Howland, Basic Real Analysis, Jones & Bartlett Publishers, page 9:",
"text": "The best way to describe the supremum of S is to say that it wants to be the greatest element of S. In fact, if S has a greatest element, then that element is the supremum.",
"type": "quote"
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{
"ref": "2011, Andreas Löhne, Vector Optimization with Infimum and Supremum, Springer, page vii:",
"text": "The key to an approach to vector optimization based on infimum and supremum is to consider set-based objective functions and to extend the partial ordering of the original objective space to a suitable subspace of the power set. In this new space the infimum and supremum exist under the usual assumptions.",
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"(real analysis): Given a subset X of R, the smallest real number that is ≥ every element of X; (order theory): given a subset X of a partially ordered set P (with partial order ≤), the least element y of P such that every element of X is ≤ y."
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"sense": "element of a set greater than or equal to all members of a given subset",
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"word": "pienin yläraja"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "element of a set greater than or equal to all members of a given subset",
"word": "supremum"
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{
"code": "fr",
"lang": "French",
"sense": "element of a set greater than or equal to all members of a given subset",
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"masculine"
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"word": "supremum"
},
{
"code": "de",
"lang": "German",
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"tags": [
"neuter"
],
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},
{
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},
{
"code": "he",
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{
"alt": "じょうげん",
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"roman": "jōgen",
"sense": "element of a set greater than or equal to all members of a given subset",
"word": "上限"
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{
"code": "pl",
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},
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"code": "pl",
"lang": "Polish",
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"tags": [
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"word": "kres górny"
},
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"word": "supremum"
}
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}
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},
{
"form": "supremumisi",
"source": "declension",
"tags": [
"accusative",
"genitive",
"plural"
]
},
{
"form": "supremumisi",
"source": "declension",
"tags": [
"genitive",
"singular"
]
},
{
"form": "supremumiesi",
"source": "declension",
"tags": [
"genitive",
"plural"
]
},
{
"form": "supremumiasi",
"source": "declension",
"tags": [
"partitive",
"singular"
]
},
{
"form": "supremumejasi",
"source": "declension",
"tags": [
"partitive",
"plural"
]
},
{
"form": "supremumissasi",
"source": "declension",
"tags": [
"inessive",
"singular"
]
},
{
"form": "supremumeissasi",
"source": "declension",
"tags": [
"inessive",
"plural"
]
},
{
"form": "supremumistasi",
"source": "declension",
"tags": [
"elative",
"singular"
]
},
{
"form": "supremumeistasi",
"source": "declension",
"tags": [
"elative",
"plural"
]
},
{
"form": "supremumiisi",
"source": "declension",
"tags": [
"illative",
"singular"
]
},
{
"form": "supremumeihisi",
"source": "declension",
"tags": [
"illative",
"plural"
]
},
{
"form": "supremumillasi",
"source": "declension",
"tags": [
"adessive",
"singular"
]
},
{
"form": "supremumeillasi",
"source": "declension",
"tags": [
"adessive",
"plural"
]
},
{
"form": "supremumiltasi",
"source": "declension",
"tags": [
"ablative",
"singular"
]
},
{
"form": "supremumeiltasi",
"source": "declension",
"tags": [
"ablative",
"plural"
]
},
{
"form": "supremumillesi",
"source": "declension",
"tags": [
"allative",
"singular"
]
},
{
"form": "supremumeillesi",
"source": "declension",
"tags": [
"allative",
"plural"
]
},
{
"form": "supremuminasi",
"source": "declension",
"tags": [
"essive",
"singular"
]
},
{
"form": "supremumeinasi",
"source": "declension",
"tags": [
"essive",
"plural"
]
},
{
"form": "supremumiksesi",
"source": "declension",
"tags": [
"singular",
"translative"
]
},
{
"form": "supremumeiksesi",
"source": "declension",
"tags": [
"plural",
"translative"
]
},
{
"form": "supremumittasi",
"source": "declension",
"tags": [
"abessive",
"singular"
]
},
{
"form": "supremumeittasi",
"source": "declension",
"tags": [
"abessive",
"plural"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"instructive",
"singular"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"instructive",
"plural"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"comitative",
"singular"
]
},
{
"form": "supremumeinesi",
"source": "declension",
"tags": [
"comitative",
"plural"
]
},
{
"form": "no-table-tags",
"source": "declension",
"tags": [
"table-tags"
]
},
{
"form": "fi-decl-risti",
"source": "declension",
"tags": [
"inflection-template"
]
},
{
"form": "supremumimme",
"source": "declension",
"tags": [
"nominative",
"singular"
]
},
{
"form": "supremumimme",
"source": "declension",
"tags": [
"nominative",
"plural"
]
},
{
"form": "supremumimme",
"source": "declension",
"tags": [
"accusative",
"nominative",
"singular"
]
},
{
"form": "supremumimme",
"source": "declension",
"tags": [
"accusative",
"nominative",
"plural"
]
},
{
"form": "supremumimme",
"source": "declension",
"tags": [
"accusative",
"genitive",
"singular"
]
},
{
"form": "supremumimme",
"source": "declension",
"tags": [
"accusative",
"genitive",
"plural"
]
},
{
"form": "supremumimme",
"source": "declension",
"tags": [
"genitive",
"singular"
]
},
{
"form": "supremumiemme",
"source": "declension",
"tags": [
"genitive",
"plural"
]
},
{
"form": "supremumiamme",
"source": "declension",
"tags": [
"partitive",
"singular"
]
},
{
"form": "supremumejamme",
"source": "declension",
"tags": [
"partitive",
"plural"
]
},
{
"form": "supremumissamme",
"source": "declension",
"tags": [
"inessive",
"singular"
]
},
{
"form": "supremumeissamme",
"source": "declension",
"tags": [
"inessive",
"plural"
]
},
{
"form": "supremumistamme",
"source": "declension",
"tags": [
"elative",
"singular"
]
},
{
"form": "supremumeistamme",
"source": "declension",
"tags": [
"elative",
"plural"
]
},
{
"form": "supremumiimme",
"source": "declension",
"tags": [
"illative",
"singular"
]
},
{
"form": "supremumeihimme",
"source": "declension",
"tags": [
"illative",
"plural"
]
},
{
"form": "supremumillamme",
"source": "declension",
"tags": [
"adessive",
"singular"
]
},
{
"form": "supremumeillamme",
"source": "declension",
"tags": [
"adessive",
"plural"
]
},
{
"form": "supremumiltamme",
"source": "declension",
"tags": [
"ablative",
"singular"
]
},
{
"form": "supremumeiltamme",
"source": "declension",
"tags": [
"ablative",
"plural"
]
},
{
"form": "supremumillemme",
"source": "declension",
"tags": [
"allative",
"singular"
]
},
{
"form": "supremumeillemme",
"source": "declension",
"tags": [
"allative",
"plural"
]
},
{
"form": "supremuminamme",
"source": "declension",
"tags": [
"essive",
"singular"
]
},
{
"form": "supremumeinamme",
"source": "declension",
"tags": [
"essive",
"plural"
]
},
{
"form": "supremumiksemme",
"source": "declension",
"tags": [
"singular",
"translative"
]
},
{
"form": "supremumeiksemme",
"source": "declension",
"tags": [
"plural",
"translative"
]
},
{
"form": "supremumittamme",
"source": "declension",
"tags": [
"abessive",
"singular"
]
},
{
"form": "supremumeittamme",
"source": "declension",
"tags": [
"abessive",
"plural"
]
},
{
"form": "-",
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"singular"
]
},
{
"form": "-",
"source": "declension",
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"instructive",
"plural"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"comitative",
"singular"
]
},
{
"form": "supremumeinemme",
"source": "declension",
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"comitative",
"plural"
]
},
{
"form": "no-table-tags",
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]
},
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"form": "fi-decl-risti",
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]
},
{
"form": "supremuminne",
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"nominative",
"singular"
]
},
{
"form": "supremuminne",
"source": "declension",
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"nominative",
"plural"
]
},
{
"form": "supremuminne",
"source": "declension",
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"accusative",
"nominative",
"singular"
]
},
{
"form": "supremuminne",
"source": "declension",
"tags": [
"accusative",
"nominative",
"plural"
]
},
{
"form": "supremuminne",
"source": "declension",
"tags": [
"accusative",
"genitive",
"singular"
]
},
{
"form": "supremuminne",
"source": "declension",
"tags": [
"accusative",
"genitive",
"plural"
]
},
{
"form": "supremuminne",
"source": "declension",
"tags": [
"genitive",
"singular"
]
},
{
"form": "supremumienne",
"source": "declension",
"tags": [
"genitive",
"plural"
]
},
{
"form": "supremumianne",
"source": "declension",
"tags": [
"partitive",
"singular"
]
},
{
"form": "supremumejanne",
"source": "declension",
"tags": [
"partitive",
"plural"
]
},
{
"form": "supremumissanne",
"source": "declension",
"tags": [
"inessive",
"singular"
]
},
{
"form": "supremumeissanne",
"source": "declension",
"tags": [
"inessive",
"plural"
]
},
{
"form": "supremumistanne",
"source": "declension",
"tags": [
"elative",
"singular"
]
},
{
"form": "supremumeistanne",
"source": "declension",
"tags": [
"elative",
"plural"
]
},
{
"form": "supremumiinne",
"source": "declension",
"tags": [
"illative",
"singular"
]
},
{
"form": "supremumeihinne",
"source": "declension",
"tags": [
"illative",
"plural"
]
},
{
"form": "supremumillanne",
"source": "declension",
"tags": [
"adessive",
"singular"
]
},
{
"form": "supremumeillanne",
"source": "declension",
"tags": [
"adessive",
"plural"
]
},
{
"form": "supremumiltanne",
"source": "declension",
"tags": [
"ablative",
"singular"
]
},
{
"form": "supremumeiltanne",
"source": "declension",
"tags": [
"ablative",
"plural"
]
},
{
"form": "supremumillenne",
"source": "declension",
"tags": [
"allative",
"singular"
]
},
{
"form": "supremumeillenne",
"source": "declension",
"tags": [
"allative",
"plural"
]
},
{
"form": "supremuminanne",
"source": "declension",
"tags": [
"essive",
"singular"
]
},
{
"form": "supremumeinanne",
"source": "declension",
"tags": [
"essive",
"plural"
]
},
{
"form": "supremumiksenne",
"source": "declension",
"tags": [
"singular",
"translative"
]
},
{
"form": "supremumeiksenne",
"source": "declension",
"tags": [
"plural",
"translative"
]
},
{
"form": "supremumittanne",
"source": "declension",
"tags": [
"abessive",
"singular"
]
},
{
"form": "supremumeittanne",
"source": "declension",
"tags": [
"abessive",
"plural"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"instructive",
"singular"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"instructive",
"plural"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"comitative",
"singular"
]
},
{
"form": "supremumeinenne",
"source": "declension",
"tags": [
"comitative",
"plural"
]
},
{
"form": "no-table-tags",
"source": "declension",
"tags": [
"table-tags"
]
},
{
"form": "fi-decl-risti",
"source": "declension",
"tags": [
"inflection-template"
]
},
{
"form": "supremuminsa",
"source": "declension",
"tags": [
"nominative",
"singular"
]
},
{
"form": "supremuminsa",
"source": "declension",
"tags": [
"nominative",
"plural"
]
},
{
"form": "supremuminsa",
"source": "declension",
"tags": [
"accusative",
"nominative",
"singular"
]
},
{
"form": "supremuminsa",
"source": "declension",
"tags": [
"accusative",
"nominative",
"plural"
]
},
{
"form": "supremuminsa",
"source": "declension",
"tags": [
"accusative",
"genitive",
"singular"
]
},
{
"form": "supremuminsa",
"source": "declension",
"tags": [
"accusative",
"genitive",
"plural"
]
},
{
"form": "supremuminsa",
"source": "declension",
"tags": [
"genitive",
"singular"
]
},
{
"form": "supremumiensa",
"source": "declension",
"tags": [
"genitive",
"plural"
]
},
{
"form": "supremumiaan",
"source": "declension",
"tags": [
"partitive",
"singular"
]
},
{
"form": "supremumiansa",
"source": "declension",
"tags": [
"partitive",
"singular"
]
},
{
"form": "supremumejaan",
"source": "declension",
"tags": [
"partitive",
"plural"
]
},
{
"form": "supremumejansa",
"source": "declension",
"tags": [
"partitive",
"plural"
]
},
{
"form": "supremumissaan",
"source": "declension",
"tags": [
"inessive",
"singular"
]
},
{
"form": "supremumissansa",
"source": "declension",
"tags": [
"inessive",
"singular"
]
},
{
"form": "supremumeissaan",
"source": "declension",
"tags": [
"inessive",
"plural"
]
},
{
"form": "supremumeissansa",
"source": "declension",
"tags": [
"inessive",
"plural"
]
},
{
"form": "supremumistaan",
"source": "declension",
"tags": [
"elative",
"singular"
]
},
{
"form": "supremumistansa",
"source": "declension",
"tags": [
"elative",
"singular"
]
},
{
"form": "supremumeistaan",
"source": "declension",
"tags": [
"elative",
"plural"
]
},
{
"form": "supremumeistansa",
"source": "declension",
"tags": [
"elative",
"plural"
]
},
{
"form": "supremumiinsa",
"source": "declension",
"tags": [
"illative",
"singular"
]
},
{
"form": "supremumeihinsa",
"source": "declension",
"tags": [
"illative",
"plural"
]
},
{
"form": "supremumillaan",
"source": "declension",
"tags": [
"adessive",
"singular"
]
},
{
"form": "supremumillansa",
"source": "declension",
"tags": [
"adessive",
"singular"
]
},
{
"form": "supremumeillaan",
"source": "declension",
"tags": [
"adessive",
"plural"
]
},
{
"form": "supremumeillansa",
"source": "declension",
"tags": [
"adessive",
"plural"
]
},
{
"form": "supremumiltaan",
"source": "declension",
"tags": [
"ablative",
"singular"
]
},
{
"form": "supremumiltansa",
"source": "declension",
"tags": [
"ablative",
"singular"
]
},
{
"form": "supremumeiltaan",
"source": "declension",
"tags": [
"ablative",
"plural"
]
},
{
"form": "supremumeiltansa",
"source": "declension",
"tags": [
"ablative",
"plural"
]
},
{
"form": "supremumilleen",
"source": "declension",
"tags": [
"allative",
"singular"
]
},
{
"form": "supremumillensa",
"source": "declension",
"tags": [
"allative",
"singular"
]
},
{
"form": "supremumeilleen",
"source": "declension",
"tags": [
"allative",
"plural"
]
},
{
"form": "supremumeillensa",
"source": "declension",
"tags": [
"allative",
"plural"
]
},
{
"form": "supremuminaan",
"source": "declension",
"tags": [
"essive",
"singular"
]
},
{
"form": "supremuminansa",
"source": "declension",
"tags": [
"essive",
"singular"
]
},
{
"form": "supremumeinaan",
"source": "declension",
"tags": [
"essive",
"plural"
]
},
{
"form": "supremumeinansa",
"source": "declension",
"tags": [
"essive",
"plural"
]
},
{
"form": "supremumikseen",
"source": "declension",
"tags": [
"singular",
"translative"
]
},
{
"form": "supremumiksensa",
"source": "declension",
"tags": [
"singular",
"translative"
]
},
{
"form": "supremumeikseen",
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"tags": [
"plural",
"translative"
]
},
{
"form": "supremumeiksensa",
"source": "declension",
"tags": [
"plural",
"translative"
]
},
{
"form": "supremumittaan",
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"singular"
]
},
{
"form": "supremumittansa",
"source": "declension",
"tags": [
"abessive",
"singular"
]
},
{
"form": "supremumeittaan",
"source": "declension",
"tags": [
"abessive",
"plural"
]
},
{
"form": "supremumeittansa",
"source": "declension",
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"abessive",
"plural"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"instructive",
"singular"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"instructive",
"plural"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"comitative",
"singular"
]
},
{
"form": "supremumeineen",
"source": "declension",
"tags": [
"comitative",
"plural"
]
},
{
"form": "supremumeinensa",
"source": "declension",
"tags": [
"comitative",
"plural"
]
}
],
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{
"args": {
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"2": "nouns",
"cat2": "",
"g": "",
"head": "",
"sort": ""
},
"expansion": "supremum",
"name": "head"
},
{
"args": {},
"expansion": "supremum",
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}
],
"inflection_templates": [
{
"args": {
"1": "supremum",
"2": "",
"3": "",
"4": "a",
"i": "0"
},
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}
],
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"lang_code": "fi",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "Finnish entries with incorrect language header",
"parents": [
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"Entry maintenance"
],
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},
{
"kind": "other",
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},
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},
{
"kind": "other",
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},
{
"kind": "topical",
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"name": "Mathematics",
"orig": "fi:Mathematics",
"parents": [
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"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"supremum"
],
"id": "en-supremum-fi-noun-UIEYucKj",
"links": [
[
"mathematics",
"mathematics"
],
[
"supremum",
"#English"
]
],
"raw_glosses": [
"(mathematics) supremum"
],
"synonyms": [
{
"word": "pienin yläraja"
}
],
"topics": [
"mathematics",
"sciences"
]
}
],
"sounds": [
{
"ipa": "/ˈsupre(ː)mum/"
},
{
"ipa": "[ˈs̠upre̞(ː)mum]"
},
{
"rhymes": "-upremum"
}
],
"word": "supremum"
}
{
"forms": [
{
"form": "suprēmum",
"tags": [
"canonical"
]
}
],
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{
"args": {
"1": "la",
"2": "adjective form",
"head": "suprēmum"
},
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}
],
"lang": "Latin",
"lang_code": "la",
"pos": "adj",
"senses": [
{
"categories": [
{
"_dis": "50 50",
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"name": "Latin entries with incorrect language header",
"parents": [
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"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "50 50",
"kind": "other",
"name": "Pages with 5 entries",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "50 50",
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w+disamb"
}
],
"form_of": [
{
"word": "suprēmus"
}
],
"glosses": [
"inflection of suprēmus:",
"nominative/accusative/vocative neuter singular"
],
"id": "en-supremum-la-adj-mtAtfIFm",
"links": [
[
"suprēmus",
"supremus#Latin"
]
],
"tags": [
"accusative",
"form-of",
"neuter",
"nominative",
"singular",
"vocative"
]
},
{
"categories": [
{
"_dis": "50 50",
"kind": "other",
"name": "Latin entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "50 50",
"kind": "other",
"name": "Pages with 5 entries",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "50 50",
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w+disamb"
}
],
"form_of": [
{
"word": "suprēmus"
}
],
"glosses": [
"inflection of suprēmus:",
"accusative masculine singular"
],
"id": "en-supremum-la-adj-1apZAmqi",
"links": [
[
"suprēmus",
"supremus#Latin"
]
],
"tags": [
"accusative",
"form-of",
"masculine",
"singular"
]
}
],
"word": "supremum"
}
{
"forms": [
{
"form": "no-table-tags",
"source": "declension",
"tags": [
"table-tags"
]
},
{
"form": "sv-infl-noun-n-zero",
"source": "declension",
"tags": [
"inflection-template"
]
},
{
"form": "supremum",
"source": "declension",
"tags": [
"indefinite",
"nominative",
"singular"
]
},
{
"form": "supremumet",
"source": "declension",
"tags": [
"definite",
"nominative",
"singular"
]
},
{
"form": "supremum",
"source": "declension",
"tags": [
"indefinite",
"nominative",
"plural"
]
},
{
"form": "supremumen",
"source": "declension",
"tags": [
"definite",
"nominative",
"plural"
]
},
{
"form": "supremums",
"source": "declension",
"tags": [
"genitive",
"indefinite",
"singular"
]
},
{
"form": "supremumets",
"source": "declension",
"tags": [
"definite",
"genitive",
"singular"
]
},
{
"form": "supremums",
"source": "declension",
"tags": [
"genitive",
"indefinite",
"plural"
]
},
{
"form": "supremumens",
"source": "declension",
"tags": [
"definite",
"genitive",
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "sv",
"2": "nouns",
"3": "",
"g": "n",
"g2": "",
"head": "",
"sort": ""
},
"expansion": "supremum n",
"name": "head"
},
{
"args": {
"1": "n"
},
"expansion": "supremum n",
"name": "sv-noun"
}
],
"inflection_templates": [
{
"args": {},
"name": "sv-infl-noun-n-zero"
}
],
"lang": "Swedish",
"lang_code": "sv",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "Pages with 5 entries",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Swedish entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "sv",
"name": "Mathematics",
"orig": "sv:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"supremum"
],
"id": "en-supremum-sv-noun-UIEYucKj",
"links": [
[
"mathematics",
"mathematics"
]
],
"raw_glosses": [
"(mathematics) supremum"
],
"tags": [
"neuter"
],
"topics": [
"mathematics",
"sciences"
]
}
],
"word": "supremum"
}
{
"forms": [
{
"form": "no-table-tags",
"source": "declension",
"tags": [
"table-tags"
]
},
{
"form": "cs-ndecl",
"source": "declension",
"tags": [
"inflection-template"
]
},
{
"form": "supremum",
"source": "declension",
"tags": [
"nominative",
"singular"
]
},
{
"form": "suprema",
"source": "declension",
"tags": [
"nominative",
"plural"
]
},
{
"form": "suprema",
"source": "declension",
"tags": [
"genitive",
"singular"
]
},
{
"form": "suprem",
"source": "declension",
"tags": [
"genitive",
"plural"
]
},
{
"form": "supremu",
"source": "declension",
"tags": [
"dative",
"singular"
]
},
{
"form": "supremům",
"source": "declension",
"tags": [
"dative",
"plural"
]
},
{
"form": "supremum",
"source": "declension",
"tags": [
"accusative",
"singular"
]
},
{
"form": "suprema",
"source": "declension",
"tags": [
"accusative",
"plural"
]
},
{
"form": "supremum",
"source": "declension",
"tags": [
"singular",
"vocative"
]
},
{
"form": "suprema",
"source": "declension",
"tags": [
"plural",
"vocative"
]
},
{
"form": "supremu",
"source": "declension",
"tags": [
"locative",
"singular"
]
},
{
"form": "supremech",
"source": "declension",
"tags": [
"locative",
"plural"
]
},
{
"form": "supremem",
"source": "declension",
"tags": [
"instrumental",
"singular"
]
},
{
"form": "supremy",
"source": "declension",
"tags": [
"instrumental",
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "n"
},
"expansion": "supremum n",
"name": "cs-noun"
}
],
"inflection_templates": [
{
"args": {
"1": "n.foreign"
},
"name": "cs-ndecl"
}
],
"lang": "Czech",
"lang_code": "cs",
"pos": "noun",
"senses": [
{
"antonyms": [
{
"word": "infimum"
}
],
"categories": [
"Czech entries with incorrect language header",
"Czech hard neuter nouns",
"Czech lemmas",
"Czech neuter nouns",
"Czech nouns",
"Czech nouns with regular foreign declension",
"Czech terms with IPA pronunciation",
"Pages with 5 entries",
"Pages with entries",
"cs:Mathematics"
],
"glosses": [
"supremum"
],
"links": [
[
"mathematics",
"mathematics"
],
[
"supremum",
"supremum#English"
]
],
"raw_glosses": [
"(mathematics) supremum"
],
"tags": [
"neuter"
],
"topics": [
"mathematics",
"sciences"
]
}
],
"sounds": [
{
"ipa": "[ˈsuprɛːmum]"
}
],
"word": "supremum"
}
{
"coordinate_terms": [
{
"word": "infimum"
}
],
"derived": [
{
"word": "essential supremum"
}
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "la",
"3": "supremum"
},
"expansion": "Latin supremum",
"name": "bor"
}
],
"etymology_text": "Borrowed from Latin supremum.",
"forms": [
{
"form": "supremums",
"tags": [
"plural"
]
},
{
"form": "suprema",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "s",
"2": "suprema"
},
"expansion": "supremum (plural supremums or suprema)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "maximum"
}
],
"senses": [
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English nouns",
"English nouns with irregular plurals",
"English terms borrowed from Latin",
"English terms derived from Latin",
"English terms with quotations",
"Entries with translation boxes",
"Japanese terms with redundant script codes",
"Pages with 5 entries",
"Pages with entries",
"Terms with Czech translations",
"Terms with Finnish translations",
"Terms with French translations",
"Terms with German translations",
"Terms with Hebrew translations",
"Terms with Japanese translations",
"Terms with Polish translations",
"Terms with Spanish translations",
"Terms with Swedish translations",
"en:Algebra",
"en:Mathematical analysis",
"en:Set theory"
],
"examples": [
{
"ref": "2006, Charalambos D. Aliprantis, Kim C. Border, Infinite Dimensional Analysis: A Hitchhiker's Guide, 3rd edition, Springer, page 8:",
"text": "A sublattice of a lattice is a subset that is closed under pairwise infima and suprema.",
"type": "quote"
},
{
"ref": "2010, James S. Howland, Basic Real Analysis, Jones & Bartlett Publishers, page 9:",
"text": "The best way to describe the supremum of S is to say that it wants to be the greatest element of S. In fact, if S has a greatest element, then that element is the supremum.",
"type": "quote"
},
{
"ref": "2011, Andreas Löhne, Vector Optimization with Infimum and Supremum, Springer, page vii:",
"text": "The key to an approach to vector optimization based on infimum and supremum is to consider set-based objective functions and to extend the partial ordering of the original objective space to a suitable subspace of the power set. In this new space the infimum and supremum exist under the usual assumptions.",
"type": "quote"
}
],
"glosses": [
"(real analysis): Given a subset X of R, the smallest real number that is ≥ every element of X; (order theory): given a subset X of a partially ordered set P (with partial order ≤), the least element y of P such that every element of X is ≤ y."
],
"links": [
[
"Wikipedia",
"Wikipedia"
],
[
"supremum",
"w:supremum"
],
[
"set theory",
"set theory"
],
[
"subset",
"subset"
],
[
"real number",
"real number"
],
[
"partially ordered set",
"partially ordered set"
],
[
"partial order",
"partial order"
],
[
"least",
"least"
]
],
"raw_glosses": [
"(set theory) (real analysis): Given a subset X of R, the smallest real number that is ≥ every element of X; (order theory): given a subset X of a partially ordered set P (with partial order ≤), the least element y of P such that every element of X is ≤ y."
],
"topics": [
"mathematics",
"sciences",
"set-theory"
]
}
],
"synonyms": [
{
"sense": "element of a set greater than or equal to all members of a given subset",
"word": "least upper bound"
},
{
"sense": "element of a set greater than or equal to all members of a given subset",
"word": "LUB"
},
{
"sense": "element of a set greater than or equal to all members of a given subset",
"word": "sup"
}
],
"translations": [
{
"code": "cs",
"lang": "Czech",
"sense": "element of a set greater than or equal to all members of a given subset",
"tags": [
"neuter"
],
"word": "supremum"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "element of a set greater than or equal to all members of a given subset",
"word": "pienin yläraja"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "element of a set greater than or equal to all members of a given subset",
"word": "supremum"
},
{
"code": "fr",
"lang": "French",
"sense": "element of a set greater than or equal to all members of a given subset",
"tags": [
"masculine"
],
"word": "supremum"
},
{
"code": "de",
"lang": "German",
"sense": "element of a set greater than or equal to all members of a given subset",
"tags": [
"neuter"
],
"word": "Supremum"
},
{
"code": "he",
"lang": "Hebrew",
"sense": "element of a set greater than or equal to all members of a given subset",
"tags": [
"masculine"
],
"word": "סופרמום"
},
{
"code": "he",
"lang": "Hebrew",
"sense": "element of a set greater than or equal to all members of a given subset",
"tags": [
"masculine"
],
"word": "חסם עליון"
},
{
"alt": "じょうげん",
"code": "ja",
"lang": "Japanese",
"roman": "jōgen",
"sense": "element of a set greater than or equal to all members of a given subset",
"word": "上限"
},
{
"code": "pl",
"lang": "Polish",
"sense": "element of a set greater than or equal to all members of a given subset",
"tags": [
"neuter"
],
"word": "supremum"
},
{
"code": "pl",
"lang": "Polish",
"sense": "element of a set greater than or equal to all members of a given subset",
"tags": [
"masculine"
],
"word": "kres górny"
},
{
"code": "es",
"lang": "Spanish",
"sense": "element of a set greater than or equal to all members of a given subset",
"tags": [
"masculine"
],
"word": "supremo"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "element of a set greater than or equal to all members of a given subset",
"word": "supremum"
}
],
"word": "supremum"
}
{
"antonyms": [
{
"word": "infimum"
}
],
"etymology_templates": [
{
"args": {
"1": "fi",
"2": "la",
"3": "suprēmum"
},
"expansion": "Learned borrowing from Latin suprēmum",
"name": "lbor"
}
],
"etymology_text": "Learned borrowing from Latin suprēmum.",
"forms": [
{
"form": "no-table-tags",
"source": "declension",
"tags": [
"table-tags"
]
},
{
"form": "fi-decl-risti",
"source": "declension",
"tags": [
"inflection-template"
]
},
{
"form": "no gradation",
"source": "declension",
"tags": [
"class"
]
},
{
"form": "5/risti",
"source": "declension",
"tags": [
"class"
]
},
{
"form": "supremum",
"source": "declension",
"tags": [
"nominative",
"singular"
]
},
{
"form": "supremumit",
"source": "declension",
"tags": [
"nominative",
"plural"
]
},
{
"form": "supremum",
"source": "declension",
"tags": [
"accusative",
"nominative",
"singular"
]
},
{
"form": "supremumit",
"source": "declension",
"tags": [
"accusative",
"nominative",
"plural"
]
},
{
"form": "supremumin",
"source": "declension",
"tags": [
"accusative",
"genitive",
"singular"
]
},
{
"form": "supremumit",
"source": "declension",
"tags": [
"accusative",
"genitive",
"plural"
]
},
{
"form": "supremumin",
"source": "declension",
"tags": [
"genitive",
"singular"
]
},
{
"form": "supremumien",
"source": "declension",
"tags": [
"genitive",
"plural"
]
},
{
"form": "supremumia",
"source": "declension",
"tags": [
"partitive",
"singular"
]
},
{
"form": "supremumeja",
"source": "declension",
"tags": [
"partitive",
"plural"
]
},
{
"form": "supremumissa",
"source": "declension",
"tags": [
"inessive",
"singular"
]
},
{
"form": "supremumeissa",
"source": "declension",
"tags": [
"inessive",
"plural"
]
},
{
"form": "supremumista",
"source": "declension",
"tags": [
"elative",
"singular"
]
},
{
"form": "supremumeista",
"source": "declension",
"tags": [
"elative",
"plural"
]
},
{
"form": "supremumiin",
"source": "declension",
"tags": [
"illative",
"singular"
]
},
{
"form": "supremumeihin",
"source": "declension",
"tags": [
"illative",
"plural"
]
},
{
"form": "supremumilla",
"source": "declension",
"tags": [
"adessive",
"singular"
]
},
{
"form": "supremumeilla",
"source": "declension",
"tags": [
"adessive",
"plural"
]
},
{
"form": "supremumilta",
"source": "declension",
"tags": [
"ablative",
"singular"
]
},
{
"form": "supremumeilta",
"source": "declension",
"tags": [
"ablative",
"plural"
]
},
{
"form": "supremumille",
"source": "declension",
"tags": [
"allative",
"singular"
]
},
{
"form": "supremumeille",
"source": "declension",
"tags": [
"allative",
"plural"
]
},
{
"form": "supremumina",
"source": "declension",
"tags": [
"essive",
"singular"
]
},
{
"form": "supremumeina",
"source": "declension",
"tags": [
"essive",
"plural"
]
},
{
"form": "supremumiksi",
"source": "declension",
"tags": [
"singular",
"translative"
]
},
{
"form": "supremumeiksi",
"source": "declension",
"tags": [
"plural",
"translative"
]
},
{
"form": "supremumitta",
"source": "declension",
"tags": [
"abessive",
"singular"
]
},
{
"form": "supremumeitta",
"source": "declension",
"tags": [
"abessive",
"plural"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"instructive",
"singular"
]
},
{
"form": "supremumein",
"source": "declension",
"tags": [
"instructive",
"plural"
]
},
{
"form": "See the possessive forms below.",
"source": "declension",
"tags": [
"comitative"
]
},
{
"form": "no-table-tags",
"source": "declension",
"tags": [
"table-tags"
]
},
{
"form": "fi-decl-risti",
"source": "declension",
"tags": [
"inflection-template"
]
},
{
"form": "no gradation",
"source": "declension",
"tags": [
"class"
]
},
{
"form": "5/risti",
"source": "declension",
"tags": [
"class"
]
},
{
"form": "no-table-tags",
"source": "declension",
"tags": [
"table-tags"
]
},
{
"form": "fi-decl-risti",
"source": "declension",
"tags": [
"inflection-template"
]
},
{
"form": "supremumini",
"source": "declension",
"tags": [
"nominative",
"singular"
]
},
{
"form": "supremumini",
"source": "declension",
"tags": [
"nominative",
"plural"
]
},
{
"form": "supremumini",
"source": "declension",
"tags": [
"accusative",
"nominative",
"singular"
]
},
{
"form": "supremumini",
"source": "declension",
"tags": [
"accusative",
"nominative",
"plural"
]
},
{
"form": "supremumini",
"source": "declension",
"tags": [
"accusative",
"genitive",
"singular"
]
},
{
"form": "supremumini",
"source": "declension",
"tags": [
"accusative",
"genitive",
"plural"
]
},
{
"form": "supremumini",
"source": "declension",
"tags": [
"genitive",
"singular"
]
},
{
"form": "supremumieni",
"source": "declension",
"tags": [
"genitive",
"plural"
]
},
{
"form": "supremumiani",
"source": "declension",
"tags": [
"partitive",
"singular"
]
},
{
"form": "supremumejani",
"source": "declension",
"tags": [
"partitive",
"plural"
]
},
{
"form": "supremumissani",
"source": "declension",
"tags": [
"inessive",
"singular"
]
},
{
"form": "supremumeissani",
"source": "declension",
"tags": [
"inessive",
"plural"
]
},
{
"form": "supremumistani",
"source": "declension",
"tags": [
"elative",
"singular"
]
},
{
"form": "supremumeistani",
"source": "declension",
"tags": [
"elative",
"plural"
]
},
{
"form": "supremumiini",
"source": "declension",
"tags": [
"illative",
"singular"
]
},
{
"form": "supremumeihini",
"source": "declension",
"tags": [
"illative",
"plural"
]
},
{
"form": "supremumillani",
"source": "declension",
"tags": [
"adessive",
"singular"
]
},
{
"form": "supremumeillani",
"source": "declension",
"tags": [
"adessive",
"plural"
]
},
{
"form": "supremumiltani",
"source": "declension",
"tags": [
"ablative",
"singular"
]
},
{
"form": "supremumeiltani",
"source": "declension",
"tags": [
"ablative",
"plural"
]
},
{
"form": "supremumilleni",
"source": "declension",
"tags": [
"allative",
"singular"
]
},
{
"form": "supremumeilleni",
"source": "declension",
"tags": [
"allative",
"plural"
]
},
{
"form": "supremuminani",
"source": "declension",
"tags": [
"essive",
"singular"
]
},
{
"form": "supremumeinani",
"source": "declension",
"tags": [
"essive",
"plural"
]
},
{
"form": "supremumikseni",
"source": "declension",
"tags": [
"singular",
"translative"
]
},
{
"form": "supremumeikseni",
"source": "declension",
"tags": [
"plural",
"translative"
]
},
{
"form": "supremumittani",
"source": "declension",
"tags": [
"abessive",
"singular"
]
},
{
"form": "supremumeittani",
"source": "declension",
"tags": [
"abessive",
"plural"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"instructive",
"singular"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"instructive",
"plural"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"comitative",
"singular"
]
},
{
"form": "supremumeineni",
"source": "declension",
"tags": [
"comitative",
"plural"
]
},
{
"form": "no-table-tags",
"source": "declension",
"tags": [
"table-tags"
]
},
{
"form": "fi-decl-risti",
"source": "declension",
"tags": [
"inflection-template"
]
},
{
"form": "supremumisi",
"source": "declension",
"tags": [
"nominative",
"singular"
]
},
{
"form": "supremumisi",
"source": "declension",
"tags": [
"nominative",
"plural"
]
},
{
"form": "supremumisi",
"source": "declension",
"tags": [
"accusative",
"nominative",
"singular"
]
},
{
"form": "supremumisi",
"source": "declension",
"tags": [
"accusative",
"nominative",
"plural"
]
},
{
"form": "supremumisi",
"source": "declension",
"tags": [
"accusative",
"genitive",
"singular"
]
},
{
"form": "supremumisi",
"source": "declension",
"tags": [
"accusative",
"genitive",
"plural"
]
},
{
"form": "supremumisi",
"source": "declension",
"tags": [
"genitive",
"singular"
]
},
{
"form": "supremumiesi",
"source": "declension",
"tags": [
"genitive",
"plural"
]
},
{
"form": "supremumiasi",
"source": "declension",
"tags": [
"partitive",
"singular"
]
},
{
"form": "supremumejasi",
"source": "declension",
"tags": [
"partitive",
"plural"
]
},
{
"form": "supremumissasi",
"source": "declension",
"tags": [
"inessive",
"singular"
]
},
{
"form": "supremumeissasi",
"source": "declension",
"tags": [
"inessive",
"plural"
]
},
{
"form": "supremumistasi",
"source": "declension",
"tags": [
"elative",
"singular"
]
},
{
"form": "supremumeistasi",
"source": "declension",
"tags": [
"elative",
"plural"
]
},
{
"form": "supremumiisi",
"source": "declension",
"tags": [
"illative",
"singular"
]
},
{
"form": "supremumeihisi",
"source": "declension",
"tags": [
"illative",
"plural"
]
},
{
"form": "supremumillasi",
"source": "declension",
"tags": [
"adessive",
"singular"
]
},
{
"form": "supremumeillasi",
"source": "declension",
"tags": [
"adessive",
"plural"
]
},
{
"form": "supremumiltasi",
"source": "declension",
"tags": [
"ablative",
"singular"
]
},
{
"form": "supremumeiltasi",
"source": "declension",
"tags": [
"ablative",
"plural"
]
},
{
"form": "supremumillesi",
"source": "declension",
"tags": [
"allative",
"singular"
]
},
{
"form": "supremumeillesi",
"source": "declension",
"tags": [
"allative",
"plural"
]
},
{
"form": "supremuminasi",
"source": "declension",
"tags": [
"essive",
"singular"
]
},
{
"form": "supremumeinasi",
"source": "declension",
"tags": [
"essive",
"plural"
]
},
{
"form": "supremumiksesi",
"source": "declension",
"tags": [
"singular",
"translative"
]
},
{
"form": "supremumeiksesi",
"source": "declension",
"tags": [
"plural",
"translative"
]
},
{
"form": "supremumittasi",
"source": "declension",
"tags": [
"abessive",
"singular"
]
},
{
"form": "supremumeittasi",
"source": "declension",
"tags": [
"abessive",
"plural"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"instructive",
"singular"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"instructive",
"plural"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"comitative",
"singular"
]
},
{
"form": "supremumeinesi",
"source": "declension",
"tags": [
"comitative",
"plural"
]
},
{
"form": "no-table-tags",
"source": "declension",
"tags": [
"table-tags"
]
},
{
"form": "fi-decl-risti",
"source": "declension",
"tags": [
"inflection-template"
]
},
{
"form": "supremumimme",
"source": "declension",
"tags": [
"nominative",
"singular"
]
},
{
"form": "supremumimme",
"source": "declension",
"tags": [
"nominative",
"plural"
]
},
{
"form": "supremumimme",
"source": "declension",
"tags": [
"accusative",
"nominative",
"singular"
]
},
{
"form": "supremumimme",
"source": "declension",
"tags": [
"accusative",
"nominative",
"plural"
]
},
{
"form": "supremumimme",
"source": "declension",
"tags": [
"accusative",
"genitive",
"singular"
]
},
{
"form": "supremumimme",
"source": "declension",
"tags": [
"accusative",
"genitive",
"plural"
]
},
{
"form": "supremumimme",
"source": "declension",
"tags": [
"genitive",
"singular"
]
},
{
"form": "supremumiemme",
"source": "declension",
"tags": [
"genitive",
"plural"
]
},
{
"form": "supremumiamme",
"source": "declension",
"tags": [
"partitive",
"singular"
]
},
{
"form": "supremumejamme",
"source": "declension",
"tags": [
"partitive",
"plural"
]
},
{
"form": "supremumissamme",
"source": "declension",
"tags": [
"inessive",
"singular"
]
},
{
"form": "supremumeissamme",
"source": "declension",
"tags": [
"inessive",
"plural"
]
},
{
"form": "supremumistamme",
"source": "declension",
"tags": [
"elative",
"singular"
]
},
{
"form": "supremumeistamme",
"source": "declension",
"tags": [
"elative",
"plural"
]
},
{
"form": "supremumiimme",
"source": "declension",
"tags": [
"illative",
"singular"
]
},
{
"form": "supremumeihimme",
"source": "declension",
"tags": [
"illative",
"plural"
]
},
{
"form": "supremumillamme",
"source": "declension",
"tags": [
"adessive",
"singular"
]
},
{
"form": "supremumeillamme",
"source": "declension",
"tags": [
"adessive",
"plural"
]
},
{
"form": "supremumiltamme",
"source": "declension",
"tags": [
"ablative",
"singular"
]
},
{
"form": "supremumeiltamme",
"source": "declension",
"tags": [
"ablative",
"plural"
]
},
{
"form": "supremumillemme",
"source": "declension",
"tags": [
"allative",
"singular"
]
},
{
"form": "supremumeillemme",
"source": "declension",
"tags": [
"allative",
"plural"
]
},
{
"form": "supremuminamme",
"source": "declension",
"tags": [
"essive",
"singular"
]
},
{
"form": "supremumeinamme",
"source": "declension",
"tags": [
"essive",
"plural"
]
},
{
"form": "supremumiksemme",
"source": "declension",
"tags": [
"singular",
"translative"
]
},
{
"form": "supremumeiksemme",
"source": "declension",
"tags": [
"plural",
"translative"
]
},
{
"form": "supremumittamme",
"source": "declension",
"tags": [
"abessive",
"singular"
]
},
{
"form": "supremumeittamme",
"source": "declension",
"tags": [
"abessive",
"plural"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"instructive",
"singular"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"instructive",
"plural"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"comitative",
"singular"
]
},
{
"form": "supremumeinemme",
"source": "declension",
"tags": [
"comitative",
"plural"
]
},
{
"form": "no-table-tags",
"source": "declension",
"tags": [
"table-tags"
]
},
{
"form": "fi-decl-risti",
"source": "declension",
"tags": [
"inflection-template"
]
},
{
"form": "supremuminne",
"source": "declension",
"tags": [
"nominative",
"singular"
]
},
{
"form": "supremuminne",
"source": "declension",
"tags": [
"nominative",
"plural"
]
},
{
"form": "supremuminne",
"source": "declension",
"tags": [
"accusative",
"nominative",
"singular"
]
},
{
"form": "supremuminne",
"source": "declension",
"tags": [
"accusative",
"nominative",
"plural"
]
},
{
"form": "supremuminne",
"source": "declension",
"tags": [
"accusative",
"genitive",
"singular"
]
},
{
"form": "supremuminne",
"source": "declension",
"tags": [
"accusative",
"genitive",
"plural"
]
},
{
"form": "supremuminne",
"source": "declension",
"tags": [
"genitive",
"singular"
]
},
{
"form": "supremumienne",
"source": "declension",
"tags": [
"genitive",
"plural"
]
},
{
"form": "supremumianne",
"source": "declension",
"tags": [
"partitive",
"singular"
]
},
{
"form": "supremumejanne",
"source": "declension",
"tags": [
"partitive",
"plural"
]
},
{
"form": "supremumissanne",
"source": "declension",
"tags": [
"inessive",
"singular"
]
},
{
"form": "supremumeissanne",
"source": "declension",
"tags": [
"inessive",
"plural"
]
},
{
"form": "supremumistanne",
"source": "declension",
"tags": [
"elative",
"singular"
]
},
{
"form": "supremumeistanne",
"source": "declension",
"tags": [
"elative",
"plural"
]
},
{
"form": "supremumiinne",
"source": "declension",
"tags": [
"illative",
"singular"
]
},
{
"form": "supremumeihinne",
"source": "declension",
"tags": [
"illative",
"plural"
]
},
{
"form": "supremumillanne",
"source": "declension",
"tags": [
"adessive",
"singular"
]
},
{
"form": "supremumeillanne",
"source": "declension",
"tags": [
"adessive",
"plural"
]
},
{
"form": "supremumiltanne",
"source": "declension",
"tags": [
"ablative",
"singular"
]
},
{
"form": "supremumeiltanne",
"source": "declension",
"tags": [
"ablative",
"plural"
]
},
{
"form": "supremumillenne",
"source": "declension",
"tags": [
"allative",
"singular"
]
},
{
"form": "supremumeillenne",
"source": "declension",
"tags": [
"allative",
"plural"
]
},
{
"form": "supremuminanne",
"source": "declension",
"tags": [
"essive",
"singular"
]
},
{
"form": "supremumeinanne",
"source": "declension",
"tags": [
"essive",
"plural"
]
},
{
"form": "supremumiksenne",
"source": "declension",
"tags": [
"singular",
"translative"
]
},
{
"form": "supremumeiksenne",
"source": "declension",
"tags": [
"plural",
"translative"
]
},
{
"form": "supremumittanne",
"source": "declension",
"tags": [
"abessive",
"singular"
]
},
{
"form": "supremumeittanne",
"source": "declension",
"tags": [
"abessive",
"plural"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"instructive",
"singular"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"instructive",
"plural"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"comitative",
"singular"
]
},
{
"form": "supremumeinenne",
"source": "declension",
"tags": [
"comitative",
"plural"
]
},
{
"form": "no-table-tags",
"source": "declension",
"tags": [
"table-tags"
]
},
{
"form": "fi-decl-risti",
"source": "declension",
"tags": [
"inflection-template"
]
},
{
"form": "supremuminsa",
"source": "declension",
"tags": [
"nominative",
"singular"
]
},
{
"form": "supremuminsa",
"source": "declension",
"tags": [
"nominative",
"plural"
]
},
{
"form": "supremuminsa",
"source": "declension",
"tags": [
"accusative",
"nominative",
"singular"
]
},
{
"form": "supremuminsa",
"source": "declension",
"tags": [
"accusative",
"nominative",
"plural"
]
},
{
"form": "supremuminsa",
"source": "declension",
"tags": [
"accusative",
"genitive",
"singular"
]
},
{
"form": "supremuminsa",
"source": "declension",
"tags": [
"accusative",
"genitive",
"plural"
]
},
{
"form": "supremuminsa",
"source": "declension",
"tags": [
"genitive",
"singular"
]
},
{
"form": "supremumiensa",
"source": "declension",
"tags": [
"genitive",
"plural"
]
},
{
"form": "supremumiaan",
"source": "declension",
"tags": [
"partitive",
"singular"
]
},
{
"form": "supremumiansa",
"source": "declension",
"tags": [
"partitive",
"singular"
]
},
{
"form": "supremumejaan",
"source": "declension",
"tags": [
"partitive",
"plural"
]
},
{
"form": "supremumejansa",
"source": "declension",
"tags": [
"partitive",
"plural"
]
},
{
"form": "supremumissaan",
"source": "declension",
"tags": [
"inessive",
"singular"
]
},
{
"form": "supremumissansa",
"source": "declension",
"tags": [
"inessive",
"singular"
]
},
{
"form": "supremumeissaan",
"source": "declension",
"tags": [
"inessive",
"plural"
]
},
{
"form": "supremumeissansa",
"source": "declension",
"tags": [
"inessive",
"plural"
]
},
{
"form": "supremumistaan",
"source": "declension",
"tags": [
"elative",
"singular"
]
},
{
"form": "supremumistansa",
"source": "declension",
"tags": [
"elative",
"singular"
]
},
{
"form": "supremumeistaan",
"source": "declension",
"tags": [
"elative",
"plural"
]
},
{
"form": "supremumeistansa",
"source": "declension",
"tags": [
"elative",
"plural"
]
},
{
"form": "supremumiinsa",
"source": "declension",
"tags": [
"illative",
"singular"
]
},
{
"form": "supremumeihinsa",
"source": "declension",
"tags": [
"illative",
"plural"
]
},
{
"form": "supremumillaan",
"source": "declension",
"tags": [
"adessive",
"singular"
]
},
{
"form": "supremumillansa",
"source": "declension",
"tags": [
"adessive",
"singular"
]
},
{
"form": "supremumeillaan",
"source": "declension",
"tags": [
"adessive",
"plural"
]
},
{
"form": "supremumeillansa",
"source": "declension",
"tags": [
"adessive",
"plural"
]
},
{
"form": "supremumiltaan",
"source": "declension",
"tags": [
"ablative",
"singular"
]
},
{
"form": "supremumiltansa",
"source": "declension",
"tags": [
"ablative",
"singular"
]
},
{
"form": "supremumeiltaan",
"source": "declension",
"tags": [
"ablative",
"plural"
]
},
{
"form": "supremumeiltansa",
"source": "declension",
"tags": [
"ablative",
"plural"
]
},
{
"form": "supremumilleen",
"source": "declension",
"tags": [
"allative",
"singular"
]
},
{
"form": "supremumillensa",
"source": "declension",
"tags": [
"allative",
"singular"
]
},
{
"form": "supremumeilleen",
"source": "declension",
"tags": [
"allative",
"plural"
]
},
{
"form": "supremumeillensa",
"source": "declension",
"tags": [
"allative",
"plural"
]
},
{
"form": "supremuminaan",
"source": "declension",
"tags": [
"essive",
"singular"
]
},
{
"form": "supremuminansa",
"source": "declension",
"tags": [
"essive",
"singular"
]
},
{
"form": "supremumeinaan",
"source": "declension",
"tags": [
"essive",
"plural"
]
},
{
"form": "supremumeinansa",
"source": "declension",
"tags": [
"essive",
"plural"
]
},
{
"form": "supremumikseen",
"source": "declension",
"tags": [
"singular",
"translative"
]
},
{
"form": "supremumiksensa",
"source": "declension",
"tags": [
"singular",
"translative"
]
},
{
"form": "supremumeikseen",
"source": "declension",
"tags": [
"plural",
"translative"
]
},
{
"form": "supremumeiksensa",
"source": "declension",
"tags": [
"plural",
"translative"
]
},
{
"form": "supremumittaan",
"source": "declension",
"tags": [
"abessive",
"singular"
]
},
{
"form": "supremumittansa",
"source": "declension",
"tags": [
"abessive",
"singular"
]
},
{
"form": "supremumeittaan",
"source": "declension",
"tags": [
"abessive",
"plural"
]
},
{
"form": "supremumeittansa",
"source": "declension",
"tags": [
"abessive",
"plural"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"instructive",
"singular"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"instructive",
"plural"
]
},
{
"form": "-",
"source": "declension",
"tags": [
"comitative",
"singular"
]
},
{
"form": "supremumeineen",
"source": "declension",
"tags": [
"comitative",
"plural"
]
},
{
"form": "supremumeinensa",
"source": "declension",
"tags": [
"comitative",
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "fi",
"2": "nouns",
"cat2": "",
"g": "",
"head": "",
"sort": ""
},
"expansion": "supremum",
"name": "head"
},
{
"args": {},
"expansion": "supremum",
"name": "fi-noun"
}
],
"inflection_templates": [
{
"args": {
"1": "supremum",
"2": "",
"3": "",
"4": "a",
"i": "0"
},
"name": "fi-decl-risti"
}
],
"lang": "Finnish",
"lang_code": "fi",
"pos": "noun",
"senses": [
{
"categories": [
"Finnish 3-syllable words",
"Finnish entries with incorrect language header",
"Finnish learned borrowings from Latin",
"Finnish lemmas",
"Finnish nouns",
"Finnish risti-type nominals",
"Finnish terms borrowed from Latin",
"Finnish terms derived from Latin",
"Finnish terms with IPA pronunciation",
"Pages with 5 entries",
"Pages with entries",
"Rhymes:Finnish/upremum",
"Rhymes:Finnish/upremum/3 syllables",
"fi:Mathematics"
],
"glosses": [
"supremum"
],
"links": [
[
"mathematics",
"mathematics"
],
[
"supremum",
"#English"
]
],
"raw_glosses": [
"(mathematics) supremum"
],
"topics": [
"mathematics",
"sciences"
]
}
],
"sounds": [
{
"ipa": "/ˈsupre(ː)mum/"
},
{
"ipa": "[ˈs̠upre̞(ː)mum]"
},
{
"rhymes": "-upremum"
}
],
"synonyms": [
{
"word": "pienin yläraja"
}
],
"word": "supremum"
}
{
"categories": [
"Latin adjective forms",
"Latin entries with incorrect language header",
"Latin non-lemma forms",
"Pages with 5 entries",
"Pages with entries"
],
"forms": [
{
"form": "suprēmum",
"tags": [
"canonical"
]
}
],
"head_templates": [
{
"args": {
"1": "la",
"2": "adjective form",
"head": "suprēmum"
},
"expansion": "suprēmum",
"name": "head"
}
],
"lang": "Latin",
"lang_code": "la",
"pos": "adj",
"senses": [
{
"form_of": [
{
"word": "suprēmus"
}
],
"glosses": [
"inflection of suprēmus:",
"nominative/accusative/vocative neuter singular"
],
"links": [
[
"suprēmus",
"supremus#Latin"
]
],
"tags": [
"accusative",
"form-of",
"neuter",
"nominative",
"singular",
"vocative"
]
},
{
"form_of": [
{
"word": "suprēmus"
}
],
"glosses": [
"inflection of suprēmus:",
"accusative masculine singular"
],
"links": [
[
"suprēmus",
"supremus#Latin"
]
],
"tags": [
"accusative",
"form-of",
"masculine",
"singular"
]
}
],
"word": "supremum"
}
{
"forms": [
{
"form": "no-table-tags",
"source": "declension",
"tags": [
"table-tags"
]
},
{
"form": "sv-infl-noun-n-zero",
"source": "declension",
"tags": [
"inflection-template"
]
},
{
"form": "supremum",
"source": "declension",
"tags": [
"indefinite",
"nominative",
"singular"
]
},
{
"form": "supremumet",
"source": "declension",
"tags": [
"definite",
"nominative",
"singular"
]
},
{
"form": "supremum",
"source": "declension",
"tags": [
"indefinite",
"nominative",
"plural"
]
},
{
"form": "supremumen",
"source": "declension",
"tags": [
"definite",
"nominative",
"plural"
]
},
{
"form": "supremums",
"source": "declension",
"tags": [
"genitive",
"indefinite",
"singular"
]
},
{
"form": "supremumets",
"source": "declension",
"tags": [
"definite",
"genitive",
"singular"
]
},
{
"form": "supremums",
"source": "declension",
"tags": [
"genitive",
"indefinite",
"plural"
]
},
{
"form": "supremumens",
"source": "declension",
"tags": [
"definite",
"genitive",
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "sv",
"2": "nouns",
"3": "",
"g": "n",
"g2": "",
"head": "",
"sort": ""
},
"expansion": "supremum n",
"name": "head"
},
{
"args": {
"1": "n"
},
"expansion": "supremum n",
"name": "sv-noun"
}
],
"inflection_templates": [
{
"args": {},
"name": "sv-infl-noun-n-zero"
}
],
"lang": "Swedish",
"lang_code": "sv",
"pos": "noun",
"senses": [
{
"categories": [
"Pages with 5 entries",
"Pages with entries",
"Swedish entries with incorrect language header",
"Swedish lemmas",
"Swedish neuter nouns",
"Swedish nouns",
"sv:Mathematics"
],
"glosses": [
"supremum"
],
"links": [
[
"mathematics",
"mathematics"
]
],
"raw_glosses": [
"(mathematics) supremum"
],
"tags": [
"neuter"
],
"topics": [
"mathematics",
"sciences"
]
}
],
"word": "supremum"
}
Download raw JSONL data for supremum meaning in All languages combined (30.2kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.