See Smarandache function in All languages combined, or Wiktionary
{ "etymology_text": "Named after Florentin Smarandache, who rediscovered the function in 1980.", "forms": [ { "form": "the Smarandache function", "tags": [ "canonical" ] } ], "head_templates": [ { "args": { "def": "1" }, "expansion": "the Smarandache function", "name": "en-proper noun" } ], "lang": "English", "lang_code": "en", "pos": "name", "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": "Number theory", "orig": "en:Number theory", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "A function, denoted by S(n) for some positive integer n, that yields the smallest number s such that n divides the factorial s!. For example, the number 8 does not divide 1!, 2!, 3!, but does divide 4!, so S(8) = 4." ], "id": "en-Smarandache_function-en-name-S9fSDe0E", "links": [ [ "number theory", "number theory" ], [ "positive", "positive" ], [ "integer", "integer" ], [ "divide", "divide" ], [ "factorial", "factorial" ] ], "raw_glosses": [ "(number theory) A function, denoted by S(n) for some positive integer n, that yields the smallest number s such that n divides the factorial s!. For example, the number 8 does not divide 1!, 2!, 3!, but does divide 4!, so S(8) = 4." ], "topics": [ "mathematics", "number-theory", "sciences" ], "wikipedia": [ "Smarandache function" ] } ], "word": "Smarandache function" }
{ "etymology_text": "Named after Florentin Smarandache, who rediscovered the function in 1980.", "forms": [ { "form": "the Smarandache function", "tags": [ "canonical" ] } ], "head_templates": [ { "args": { "def": "1" }, "expansion": "the Smarandache function", "name": "en-proper noun" } ], "lang": "English", "lang_code": "en", "pos": "name", "senses": [ { "categories": [ "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English proper nouns", "English uncountable nouns", "Pages with 1 entry", "Pages with entries", "en:Functions", "en:Number theory" ], "glosses": [ "A function, denoted by S(n) for some positive integer n, that yields the smallest number s such that n divides the factorial s!. For example, the number 8 does not divide 1!, 2!, 3!, but does divide 4!, so S(8) = 4." ], "links": [ [ "number theory", "number theory" ], [ "positive", "positive" ], [ "integer", "integer" ], [ "divide", "divide" ], [ "factorial", "factorial" ] ], "raw_glosses": [ "(number theory) A function, denoted by S(n) for some positive integer n, that yields the smallest number s such that n divides the factorial s!. For example, the number 8 does not divide 1!, 2!, 3!, but does divide 4!, so S(8) = 4." ], "topics": [ "mathematics", "number-theory", "sciences" ], "wikipedia": [ "Smarandache function" ] } ], "word": "Smarandache function" }
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-03-01 from the enwiktionary dump dated 2025-02-21 using wiktextract (7c21d10 and f2e72e5). 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.