See Euler-Maclaurin formula in All languages combined, or Wiktionary
{ "etymology_text": "Discovered independently by Leonhard Euler and Colin Maclaurin around 1735.", "forms": [ { "form": "the Euler-Maclaurin formula", "tags": [ "canonical" ] } ], "head_templates": [ { "args": { "def": "1" }, "expansion": "the Euler-Maclaurin formula", "name": "en-prop" } ], "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 for the difference between an integral and a closely related sum. It can be used to approximate integrals by finite sums, or conversely to evaluate finite sums and infinite series using integrals and the machinery of calculus." ], "id": "en-Euler-Maclaurin_formula-en-name-mk~GV30j", "links": [ [ "mathematics", "mathematics" ], [ "difference", "difference" ], [ "integral", "integral" ], [ "sum", "sum" ], [ "approximate", "approximate" ], [ "finite", "finite" ], [ "evaluate", "evaluate" ], [ "infinite series", "infinite series" ], [ "calculus", "calculus" ] ], "raw_glosses": [ "(mathematics) A formula for the difference between an integral and a closely related sum. It can be used to approximate integrals by finite sums, or conversely to evaluate finite sums and infinite series using integrals and the machinery of calculus." ], "topics": [ "mathematics", "sciences" ] } ], "word": "Euler-Maclaurin formula" }
{ "etymology_text": "Discovered independently by Leonhard Euler and Colin Maclaurin around 1735.", "forms": [ { "form": "the Euler-Maclaurin formula", "tags": [ "canonical" ] } ], "head_templates": [ { "args": { "def": "1" }, "expansion": "the Euler-Maclaurin formula", "name": "en-prop" } ], "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 for the difference between an integral and a closely related sum. It can be used to approximate integrals by finite sums, or conversely to evaluate finite sums and infinite series using integrals and the machinery of calculus." ], "links": [ [ "mathematics", "mathematics" ], [ "difference", "difference" ], [ "integral", "integral" ], [ "sum", "sum" ], [ "approximate", "approximate" ], [ "finite", "finite" ], [ "evaluate", "evaluate" ], [ "infinite series", "infinite series" ], [ "calculus", "calculus" ] ], "raw_glosses": [ "(mathematics) A formula for the difference between an integral and a closely related sum. It can be used to approximate integrals by finite sums, or conversely to evaluate finite sums and infinite series using integrals and the machinery of calculus." ], "topics": [ "mathematics", "sciences" ] } ], "word": "Euler-Maclaurin formula" }
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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 2025-01-03 from the enwiktionary dump dated 2025-01-01 using wiktextract (eaedd02 and 8fbd9e8). 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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