See continuous function on Wiktionary
Download JSON data for continuous function meaning in All languages combined (6.4kB)
{
"forms": [
{
"form": "continuous functions",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "continuous function (plural continuous functions)",
"name": "en-noun"
}
],
"hypernyms": [
{
"_dis1": "50 50",
"word": "function"
},
{
"_dis1": "50 50",
"word": "morphism"
}
],
"hyponyms": [
{
"_dis1": "50 50",
"word": "absolutely continuous function"
},
{
"_dis1": "50 50",
"word": "left-continuous function"
},
{
"_dis1": "50 50",
"word": "lower semicontinuous function"
},
{
"_dis1": "50 50",
"word": "piecewise-continuous function"
},
{
"_dis1": "50 50",
"word": "upper semicontinuous function"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Functions",
"orig": "en:Functions",
"parents": [
"Algebra",
"Calculus",
"Geometry",
"Mathematical analysis",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Mathematical analysis",
"orig": "en:Mathematical analysis",
"parents": [
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"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
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},
{
"_dis": "46 54",
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"Entry maintenance"
],
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}
],
"glosses": [
"a function whose value at any point in its domain is equal its limit at the same point"
],
"id": "en-continuous_function-en-noun-sBoEKguN",
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"function",
"function"
]
],
"raw_glosses": [
"(mathematical analysis) a function whose value at any point in its domain is equal its limit at the same point"
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
],
"translations": [
{
"_dis1": "76 24",
"code": "hy",
"lang": "Armenian",
"roman": "anəndhat funkcʻia",
"sense": "function whose value changes only slightly when its input changes slightly",
"word": "անընդհատ ֆունկցիա"
},
{
"_dis1": "76 24",
"code": "ca",
"lang": "Catalan",
"sense": "function whose value changes only slightly when its input changes slightly",
"tags": [
"feminine"
],
"word": "funció contínua"
},
{
"_dis1": "76 24",
"code": "cs",
"lang": "Czech",
"sense": "function whose value changes only slightly when its input changes slightly",
"tags": [
"feminine"
],
"word": "spojitá funkce"
},
{
"_dis1": "76 24",
"code": "da",
"lang": "Danish",
"sense": "function whose value changes only slightly when its input changes slightly",
"tags": [
"common-gender"
],
"word": "kontinuert funktion"
},
{
"_dis1": "76 24",
"code": "fr",
"lang": "French",
"sense": "function whose value changes only slightly when its input changes slightly",
"tags": [
"feminine"
],
"word": "fonction continue"
},
{
"_dis1": "76 24",
"code": "de",
"lang": "German",
"sense": "function whose value changes only slightly when its input changes slightly",
"tags": [
"feminine"
],
"word": "stetige Funktion"
},
{
"_dis1": "76 24",
"code": "hu",
"lang": "Hungarian",
"sense": "function whose value changes only slightly when its input changes slightly",
"word": "folytonos függvény"
},
{
"_dis1": "76 24",
"code": "pl",
"lang": "Polish",
"sense": "function whose value changes only slightly when its input changes slightly",
"tags": [
"feminine"
],
"word": "funkcja ciągła"
},
{
"_dis1": "76 24",
"code": "ro",
"lang": "Romanian",
"sense": "function whose value changes only slightly when its input changes slightly",
"tags": [
"feminine"
],
"word": "funcție continuă"
},
{
"_dis1": "76 24",
"code": "ru",
"lang": "Russian",
"roman": "nepreryvnaja funkcija",
"sense": "function whose value changes only slightly when its input changes slightly",
"tags": [
"feminine"
],
"word": "непрерывная функция"
},
{
"_dis1": "76 24",
"code": "es",
"lang": "Spanish",
"sense": "function whose value changes only slightly when its input changes slightly",
"tags": [
"feminine"
],
"word": "función continua"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Mathematical analysis",
"orig": "en:Mathematical analysis",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Topology",
"orig": "en:Topology",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "45 55",
"kind": "other",
"name": "English entries with incorrect language header",
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"Entry maintenance"
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{
"_dis": "44 56",
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{
"_dis": "46 54",
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"name": "English terms with non-redundant non-automated sortkeys",
"parents": [
"Terms with non-redundant non-automated sortkeys",
"Entry maintenance"
],
"source": "w+disamb"
}
],
"glosses": [
"a function from one topological space to another, such that the inverse image of any open set is open"
],
"id": "en-continuous_function-en-noun-Y7wCnBSe",
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"topology",
"topology"
],
[
"function",
"function"
],
[
"topological space",
"topological space"
],
[
"inverse image",
"inverse image"
],
[
"open set",
"open set"
],
[
"open",
"open"
]
],
"raw_glosses": [
"(mathematical analysis, topology) a function from one topological space to another, such that the inverse image of any open set is open"
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences",
"topology"
],
"translations": [
{
"_dis1": "5 95",
"code": "da",
"lang": "Danish",
"sense": "function from one topological space to another",
"tags": [
"common-gender"
],
"word": "kontinuert funktion"
},
{
"_dis1": "5 95",
"code": "fr",
"lang": "French",
"sense": "function from one topological space to another",
"tags": [
"feminine"
],
"word": "fonction continue"
},
{
"_dis1": "5 95",
"code": "de",
"lang": "German",
"sense": "function from one topological space to another",
"tags": [
"feminine"
],
"word": "stetige Funktion"
},
{
"_dis1": "5 95",
"code": "pl",
"lang": "Polish",
"sense": "function from one topological space to another",
"tags": [
"feminine"
],
"word": "funkcja ciągła"
},
{
"_dis1": "5 95",
"code": "ro",
"lang": "Romanian",
"sense": "function from one topological space to another",
"tags": [
"feminine"
],
"word": "funcție continuă"
}
]
}
],
"wikipedia": [
"continuous function"
],
"word": "continuous function"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English entries with topic categories using raw markup",
"English lemmas",
"English multiword terms",
"English nouns",
"English terms with non-redundant non-automated sortkeys"
],
"forms": [
{
"form": "continuous functions",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "continuous function (plural continuous functions)",
"name": "en-noun"
}
],
"hypernyms": [
{
"word": "function"
},
{
"word": "morphism"
}
],
"hyponyms": [
{
"word": "absolutely continuous function"
},
{
"word": "left-continuous function"
},
{
"word": "lower semicontinuous function"
},
{
"word": "piecewise-continuous function"
},
{
"word": "upper semicontinuous function"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"en:Functions",
"en:Mathematical analysis"
],
"glosses": [
"a function whose value at any point in its domain is equal its limit at the same point"
],
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"function",
"function"
]
],
"raw_glosses": [
"(mathematical analysis) a function whose value at any point in its domain is equal its limit at the same point"
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
]
},
{
"categories": [
"en:Mathematical analysis",
"en:Topology"
],
"glosses": [
"a function from one topological space to another, such that the inverse image of any open set is open"
],
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"topology",
"topology"
],
[
"function",
"function"
],
[
"topological space",
"topological space"
],
[
"inverse image",
"inverse image"
],
[
"open set",
"open set"
],
[
"open",
"open"
]
],
"raw_glosses": [
"(mathematical analysis, topology) a function from one topological space to another, such that the inverse image of any open set is open"
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences",
"topology"
]
}
],
"translations": [
{
"code": "hy",
"lang": "Armenian",
"roman": "anəndhat funkcʻia",
"sense": "function whose value changes only slightly when its input changes slightly",
"word": "անընդհատ ֆունկցիա"
},
{
"code": "ca",
"lang": "Catalan",
"sense": "function whose value changes only slightly when its input changes slightly",
"tags": [
"feminine"
],
"word": "funció contínua"
},
{
"code": "cs",
"lang": "Czech",
"sense": "function whose value changes only slightly when its input changes slightly",
"tags": [
"feminine"
],
"word": "spojitá funkce"
},
{
"code": "da",
"lang": "Danish",
"sense": "function whose value changes only slightly when its input changes slightly",
"tags": [
"common-gender"
],
"word": "kontinuert funktion"
},
{
"code": "fr",
"lang": "French",
"sense": "function whose value changes only slightly when its input changes slightly",
"tags": [
"feminine"
],
"word": "fonction continue"
},
{
"code": "de",
"lang": "German",
"sense": "function whose value changes only slightly when its input changes slightly",
"tags": [
"feminine"
],
"word": "stetige Funktion"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "function whose value changes only slightly when its input changes slightly",
"word": "folytonos függvény"
},
{
"code": "pl",
"lang": "Polish",
"sense": "function whose value changes only slightly when its input changes slightly",
"tags": [
"feminine"
],
"word": "funkcja ciągła"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "function whose value changes only slightly when its input changes slightly",
"tags": [
"feminine"
],
"word": "funcție continuă"
},
{
"code": "ru",
"lang": "Russian",
"roman": "nepreryvnaja funkcija",
"sense": "function whose value changes only slightly when its input changes slightly",
"tags": [
"feminine"
],
"word": "непрерывная функция"
},
{
"code": "es",
"lang": "Spanish",
"sense": "function whose value changes only slightly when its input changes slightly",
"tags": [
"feminine"
],
"word": "función continua"
},
{
"code": "da",
"lang": "Danish",
"sense": "function from one topological space to another",
"tags": [
"common-gender"
],
"word": "kontinuert funktion"
},
{
"code": "fr",
"lang": "French",
"sense": "function from one topological space to another",
"tags": [
"feminine"
],
"word": "fonction continue"
},
{
"code": "de",
"lang": "German",
"sense": "function from one topological space to another",
"tags": [
"feminine"
],
"word": "stetige Funktion"
},
{
"code": "pl",
"lang": "Polish",
"sense": "function from one topological space to another",
"tags": [
"feminine"
],
"word": "funkcja ciągła"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "function from one topological space to another",
"tags": [
"feminine"
],
"word": "funcție continuă"
}
],
"wikipedia": [
"continuous function"
],
"word": "continuous function"
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 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.
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.