See measurable function on Wiktionary
{
"forms": [
{
"form": "measurable functions",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "measurable function (plural measurable functions)",
"name": "en-noun"
}
],
"hypernyms": [
{
"_dis1": "52 48",
"word": "function"
},
{
"_dis1": "52 48",
"word": "morphism"
}
],
"hyponyms": [
{
"_dis1": "52 48",
"word": "Borel measurable function"
},
{
"_dis1": "52 48",
"word": "simple 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": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "53 47",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "68 32",
"kind": "other",
"name": "Entries with translation boxes",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "49 51",
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "48 52",
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "48 52",
"kind": "other",
"name": "Terms with Finnish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "51 49",
"kind": "other",
"name": "Terms with German translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "53 47",
"kind": "other",
"name": "Terms with Romanian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "49 51",
"kind": "other",
"name": "Terms with Russian translations",
"parents": [],
"source": "w+disamb"
}
],
"glosses": [
"A function whose codomain is a topological space and domain is a measurable space, with the property that the inverse image of every open set in its codomain is a measurable set in its domain."
],
"id": "en-measurable_function-en-noun-BTFWU6Bf",
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"function",
"function"
],
[
"codomain",
"codomain"
],
[
"topological space",
"topological space"
],
[
"domain",
"domain"
],
[
"measurable space",
"measurable space"
],
[
"inverse image",
"inverse image"
],
[
"open set",
"open set"
],
[
"measurable set",
"measurable set"
]
],
"raw_glosses": [
"(mathematical analysis) A function whose codomain is a topological space and domain is a measurable space, with the property that the inverse image of every open set in its codomain is a measurable set in its domain."
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
],
"translations": [
{
"_dis1": "59 41",
"code": "fi",
"lang": "Finnish",
"sense": "Translations",
"word": "mitallinen funktio"
},
{
"_dis1": "59 41",
"code": "de",
"lang": "German",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "messbare Funktion"
},
{
"_dis1": "59 41",
"code": "ro",
"lang": "Romanian",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "funcție măsurabilă"
},
{
"_dis1": "59 41",
"code": "ru",
"lang": "Russian",
"roman": "izmerimaja funkcija",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "измеримая функция"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "53 47",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "49 51",
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "48 52",
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "48 52",
"kind": "other",
"name": "Terms with Finnish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "51 49",
"kind": "other",
"name": "Terms with German translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "53 47",
"kind": "other",
"name": "Terms with Romanian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "49 51",
"kind": "other",
"name": "Terms with Russian translations",
"parents": [],
"source": "w+disamb"
}
],
"glosses": [
"Any well-behaved function of real numbers between measurable spaces."
],
"id": "en-measurable_function-en-noun-9968mIry",
"links": [
[
"mathematics",
"mathematics"
],
[
"well-behaved",
"well-behaved"
],
[
"real number",
"real number"
],
[
"measurable space",
"measurable space"
]
],
"raw_glosses": [
"(mathematics) Any well-behaved function of real numbers between measurable spaces."
],
"topics": [
"mathematics",
"sciences"
]
}
],
"word": "measurable function"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"Entries with translation boxes",
"Pages with 1 entry",
"Pages with entries",
"Terms with Finnish translations",
"Terms with German translations",
"Terms with Romanian translations",
"Terms with Russian translations",
"Translation table header lacks gloss"
],
"forms": [
{
"form": "measurable functions",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "measurable function (plural measurable functions)",
"name": "en-noun"
}
],
"hypernyms": [
{
"word": "function"
},
{
"word": "morphism"
}
],
"hyponyms": [
{
"word": "Borel measurable function"
},
{
"word": "simple function"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"en:Functions",
"en:Mathematical analysis"
],
"glosses": [
"A function whose codomain is a topological space and domain is a measurable space, with the property that the inverse image of every open set in its codomain is a measurable set in its domain."
],
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"function",
"function"
],
[
"codomain",
"codomain"
],
[
"topological space",
"topological space"
],
[
"domain",
"domain"
],
[
"measurable space",
"measurable space"
],
[
"inverse image",
"inverse image"
],
[
"open set",
"open set"
],
[
"measurable set",
"measurable set"
]
],
"raw_glosses": [
"(mathematical analysis) A function whose codomain is a topological space and domain is a measurable space, with the property that the inverse image of every open set in its codomain is a measurable set in its domain."
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
]
},
{
"categories": [
"en:Mathematics"
],
"glosses": [
"Any well-behaved function of real numbers between measurable spaces."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"well-behaved",
"well-behaved"
],
[
"real number",
"real number"
],
[
"measurable space",
"measurable space"
]
],
"raw_glosses": [
"(mathematics) Any well-behaved function of real numbers between measurable spaces."
],
"topics": [
"mathematics",
"sciences"
]
}
],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "Translations",
"word": "mitallinen funktio"
},
{
"code": "de",
"lang": "German",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "messbare Funktion"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "funcție măsurabilă"
},
{
"code": "ru",
"lang": "Russian",
"roman": "izmerimaja funkcija",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "измеримая функция"
}
],
"word": "measurable function"
}
Download raw JSONL data for measurable function meaning in All languages combined (2.6kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.