See number-theoretic function on Wiktionary
{
"forms": [
{
"form": "number-theoretic functions",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "number-theoretic function (plural number-theoretic functions)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w"
},
{
"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": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"a real or complex valued function of n defined on the set of natural numbers that expresses some arithmetical property of n."
],
"hypernyms": [
{
"word": "complex-valued function"
},
{
"word": "real-valued function"
}
],
"hyponyms": [
{
"word": "multiplicative number-theoretic function"
}
],
"id": "en-number-theoretic_function-en-noun-L5ml7muT",
"links": [
[
"mathematics",
"mathematics"
],
[
"real",
"real"
],
[
"complex",
"complex"
],
[
"value",
"value"
],
[
"function",
"function"
],
[
"set",
"set"
],
[
"natural number",
"natural number"
],
[
"arithmetical",
"arithmetical"
],
[
"property",
"property"
]
],
"raw_glosses": [
"(mathematics) a real or complex valued function of n defined on the set of natural numbers that expresses some arithmetical property of n."
],
"synonyms": [
{
"word": "arithmetic function"
},
{
"word": "arithmetical function"
}
],
"topics": [
"mathematics",
"sciences"
]
}
],
"word": "number-theoretic function"
}
{
"forms": [
{
"form": "number-theoretic functions",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "number-theoretic function (plural number-theoretic functions)",
"name": "en-noun"
}
],
"hypernyms": [
{
"word": "complex-valued function"
},
{
"word": "real-valued function"
}
],
"hyponyms": [
{
"word": "multiplicative number-theoretic function"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"Pages with 1 entry",
"Pages with entries",
"en:Functions",
"en:Mathematics"
],
"glosses": [
"a real or complex valued function of n defined on the set of natural numbers that expresses some arithmetical property of n."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"real",
"real"
],
[
"complex",
"complex"
],
[
"value",
"value"
],
[
"function",
"function"
],
[
"set",
"set"
],
[
"natural number",
"natural number"
],
[
"arithmetical",
"arithmetical"
],
[
"property",
"property"
]
],
"raw_glosses": [
"(mathematics) a real or complex valued function of n defined on the set of natural numbers that expresses some arithmetical property of n."
],
"topics": [
"mathematics",
"sciences"
]
}
],
"synonyms": [
{
"word": "arithmetic function"
},
{
"word": "arithmetical function"
}
],
"word": "number-theoretic function"
}
Download raw JSONL data for number-theoretic function meaning in All languages combined (1.3kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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.