See Faulhaber's formula on Wiktionary
{ "etymology_text": "Named after Johann Faulhaber.", "head_templates": [ { "args": { "head": "Faulhaber's formula" }, "expansion": "Faulhaber's formula", "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": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "A formula expressing the sum of the pth powers of the first n positive integers as a (p + 1)th-degree polynomial function of n, the coefficients involving Bernoulli numbers." ], "id": "en-Faulhaber's_formula-en-name-iembavFf", "links": [ [ "mathematics", "mathematics" ], [ "sum", "sum" ], [ "power", "power" ], [ "positive", "positive" ], [ "integer", "integer" ], [ "degree", "degree" ], [ "polynomial function", "polynomial function" ], [ "coefficient", "coefficient" ], [ "Bernoulli number", "Bernoulli number" ] ], "raw_glosses": [ "(mathematics) A formula expressing the sum of the pth powers of the first n positive integers as a (p + 1)th-degree polynomial function of n, the coefficients involving Bernoulli numbers." ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "Johann Faulhaber" ] } ], "word": "Faulhaber's formula" }
{ "etymology_text": "Named after Johann Faulhaber.", "head_templates": [ { "args": { "head": "Faulhaber's formula" }, "expansion": "Faulhaber's formula", "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:Mathematics" ], "glosses": [ "A formula expressing the sum of the pth powers of the first n positive integers as a (p + 1)th-degree polynomial function of n, the coefficients involving Bernoulli numbers." ], "links": [ [ "mathematics", "mathematics" ], [ "sum", "sum" ], [ "power", "power" ], [ "positive", "positive" ], [ "integer", "integer" ], [ "degree", "degree" ], [ "polynomial function", "polynomial function" ], [ "coefficient", "coefficient" ], [ "Bernoulli number", "Bernoulli number" ] ], "raw_glosses": [ "(mathematics) A formula expressing the sum of the pth powers of the first n positive integers as a (p + 1)th-degree polynomial function of n, the coefficients involving Bernoulli numbers." ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "Johann Faulhaber" ] } ], "word": "Faulhaber's formula" }
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.
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