See uniformly continuous on Wiktionary
{
"head_templates": [
{
"args": {
"1": "-"
},
"expansion": "uniformly continuous (not comparable)",
"name": "en-adj"
}
],
"lang": "English",
"lang_code": "en",
"pos": "adj",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Entries with translation boxes",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Mongolian terms with redundant script codes",
"parents": [
"Terms with redundant script codes",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with French translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with German translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Hungarian translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Icelandic translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Mongolian translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Polish translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Serbo-Croatian translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Swedish translations",
"parents": [],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Mathematical analysis",
"orig": "en:Mathematical analysis",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"examples": [
{
"text": "A uniformly continuous function is a function whose derivative is bounded.",
"type": "example"
}
],
"glosses": [
"That for every real ε > 0 there exists a real δ > 0 such that for all pairs of points x and y in X for which D_X(x,y)<δ, it must be the case that D_Y(f(x),f(y))<ϵ (where D_X and D_Y are the metrics of X and Y, respectively)."
],
"id": "en-uniformly_continuous-en-adj-CPLCowj7",
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"real",
"real number"
],
[
"metric",
"metric"
]
],
"raw_glosses": [
"(mathematical analysis, of a function from a metric space X to a metric space Y) That for every real ε > 0 there exists a real δ > 0 such that for all pairs of points x and y in X for which D_X(x,y)<δ, it must be the case that D_Y(f(x),f(y))<ϵ (where D_X and D_Y are the metrics of X and Y, respectively)."
],
"raw_tags": [
"of a function from a metric space X to a metric space Y"
],
"related": [
{
"word": "uniform continuity"
}
],
"tags": [
"not-comparable"
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
],
"translations": [
{
"code": "fr",
"lang": "French",
"sense": "property of a function",
"word": "uniformément continu"
},
{
"code": "de",
"lang": "German",
"sense": "property of a function",
"word": "gleichmäßig stetig"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "property of a function",
"word": "egyenletesen folytonos"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "property of a function",
"tags": [
"masculine"
],
"word": "samfelldur í jöfnum mæli"
},
{
"code": "mn",
"lang": "Mongolian",
"roman": "žigd tasraltgüj",
"sense": "property of a function",
"word": "жигд тасралтгүй"
},
{
"code": "pl",
"lang": "Polish",
"sense": "property of a function",
"word": "jednostajnie ciągły"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "property of a function",
"tags": [
"Cyrillic",
"Ijekavian"
],
"word": "ра̏вномјерно не̏прекӣдан"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "property of a function",
"tags": [
"Cyrillic",
"Ekavian"
],
"word": "ра̏вномерно не̏прекӣдан"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "property of a function",
"tags": [
"Cyrillic"
],
"word": "једно̀лико не̏прекӣдан"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "property of a function",
"tags": [
"Cyrillic"
],
"word": "у̀нифо̄рмно не̏прекӣдан"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "property of a function",
"tags": [
"Ijekavian",
"Roman"
],
"word": "rȁvnomjerno nȅprekīdan"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "property of a function",
"tags": [
"Ekavian",
"Roman"
],
"word": "rȁvnomerno nȅprekīdan"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "property of a function",
"tags": [
"Roman"
],
"word": "jednòliko nȅprekīdan"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "property of a function",
"tags": [
"Roman"
],
"word": "ùnifōrmno nȅprekīdan"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "property of a function",
"word": "likformigt kontinuerlig"
}
]
}
],
"word": "uniformly continuous"
}
{
"head_templates": [
{
"args": {
"1": "-"
},
"expansion": "uniformly continuous (not comparable)",
"name": "en-adj"
}
],
"lang": "English",
"lang_code": "en",
"pos": "adj",
"related": [
{
"word": "uniform continuity"
}
],
"senses": [
{
"categories": [
"English adjectives",
"English adverb-adjective phrases",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English terms with usage examples",
"English uncomparable adjectives",
"Entries with translation boxes",
"Mongolian terms with redundant script codes",
"Pages with 1 entry",
"Pages with entries",
"Terms with French translations",
"Terms with German translations",
"Terms with Hungarian translations",
"Terms with Icelandic translations",
"Terms with Mongolian translations",
"Terms with Polish translations",
"Terms with Serbo-Croatian translations",
"Terms with Swedish translations",
"en:Mathematical analysis"
],
"examples": [
{
"text": "A uniformly continuous function is a function whose derivative is bounded.",
"type": "example"
}
],
"glosses": [
"That for every real ε > 0 there exists a real δ > 0 such that for all pairs of points x and y in X for which D_X(x,y)<δ, it must be the case that D_Y(f(x),f(y))<ϵ (where D_X and D_Y are the metrics of X and Y, respectively)."
],
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"real",
"real number"
],
[
"metric",
"metric"
]
],
"raw_glosses": [
"(mathematical analysis, of a function from a metric space X to a metric space Y) That for every real ε > 0 there exists a real δ > 0 such that for all pairs of points x and y in X for which D_X(x,y)<δ, it must be the case that D_Y(f(x),f(y))<ϵ (where D_X and D_Y are the metrics of X and Y, respectively)."
],
"raw_tags": [
"of a function from a metric space X to a metric space Y"
],
"tags": [
"not-comparable"
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
]
}
],
"translations": [
{
"code": "fr",
"lang": "French",
"sense": "property of a function",
"word": "uniformément continu"
},
{
"code": "de",
"lang": "German",
"sense": "property of a function",
"word": "gleichmäßig stetig"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "property of a function",
"word": "egyenletesen folytonos"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "property of a function",
"tags": [
"masculine"
],
"word": "samfelldur í jöfnum mæli"
},
{
"code": "mn",
"lang": "Mongolian",
"roman": "žigd tasraltgüj",
"sense": "property of a function",
"word": "жигд тасралтгүй"
},
{
"code": "pl",
"lang": "Polish",
"sense": "property of a function",
"word": "jednostajnie ciągły"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "property of a function",
"tags": [
"Cyrillic",
"Ijekavian"
],
"word": "ра̏вномјерно не̏прекӣдан"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "property of a function",
"tags": [
"Cyrillic",
"Ekavian"
],
"word": "ра̏вномерно не̏прекӣдан"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "property of a function",
"tags": [
"Cyrillic"
],
"word": "једно̀лико не̏прекӣдан"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "property of a function",
"tags": [
"Cyrillic"
],
"word": "у̀нифо̄рмно не̏прекӣдан"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "property of a function",
"tags": [
"Ijekavian",
"Roman"
],
"word": "rȁvnomjerno nȅprekīdan"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "property of a function",
"tags": [
"Ekavian",
"Roman"
],
"word": "rȁvnomerno nȅprekīdan"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "property of a function",
"tags": [
"Roman"
],
"word": "jednòliko nȅprekīdan"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "property of a function",
"tags": [
"Roman"
],
"word": "ùnifōrmno nȅprekīdan"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "property of a function",
"word": "likformigt kontinuerlig"
}
],
"word": "uniformly continuous"
}
Download raw JSONL data for uniformly continuous meaning in All languages combined (3.8kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-08 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.