See absolutely convergent on Wiktionary
{ "categories": [ { "kind": "other", "name": "Locutions adjectivales en anglais", "parents": [], "source": "w" }, { "kind": "other", "name": "Anglais", "orig": "anglais", "parents": [], "source": "w" } ], "lang": "Anglais", "lang_code": "en", "pos": "adj", "pos_title": "Locution adjectivale", "related": [ { "word": "absolute convergence" }, { "word": "conditionally convergent" } ], "senses": [ { "categories": [ { "kind": "other", "name": "Exemples en anglais", "parents": [], "source": "w" }, { "kind": "other", "name": "Lexique en anglais de l’analyse", "parents": [], "source": "w" } ], "examples": [ { "ref": "H. Jerome Keisler, Elementary Calculus: An Infinitesial Approach, 2000", "text": "The alternating series 1-1/(2²)+1/(3²)-1/(4²)+1/(5²)-⋯ is absolutely convergent, because its absolute value series 1+1/(2²)+1/(3²)+1/(4²)+⋯ is convergent.", "translation": "La série alterné 1-1/(2²)+1/(3²)-1/(4²)+1/(5²)-⋯ est absolument convergente, car la série des valeurs absolues 1+1/(2²)+1/(3²)+1/(4²)+⋯ est convergente." } ], "glosses": [ "Absolument convergente." ], "id": "fr-absolutely_convergent-en-adj-1b6VyY9b", "tags": [ "analytic" ] } ], "sounds": [ { "ipa": "\\ˌæb.səˈlut.li kənˈvɚ.d͡ʒn̩t\\" } ], "synonyms": [ { "word": "absolutely summable" }, { "word": "converge absolutely" } ], "word": "absolutely convergent" }
{ "categories": [ "Locutions adjectivales en anglais", "anglais" ], "lang": "Anglais", "lang_code": "en", "pos": "adj", "pos_title": "Locution adjectivale", "related": [ { "word": "absolute convergence" }, { "word": "conditionally convergent" } ], "senses": [ { "categories": [ "Exemples en anglais", "Lexique en anglais de l’analyse" ], "examples": [ { "ref": "H. Jerome Keisler, Elementary Calculus: An Infinitesial Approach, 2000", "text": "The alternating series 1-1/(2²)+1/(3²)-1/(4²)+1/(5²)-⋯ is absolutely convergent, because its absolute value series 1+1/(2²)+1/(3²)+1/(4²)+⋯ is convergent.", "translation": "La série alterné 1-1/(2²)+1/(3²)-1/(4²)+1/(5²)-⋯ est absolument convergente, car la série des valeurs absolues 1+1/(2²)+1/(3²)+1/(4²)+⋯ est convergente." } ], "glosses": [ "Absolument convergente." ], "tags": [ "analytic" ] } ], "sounds": [ { "ipa": "\\ˌæb.səˈlut.li kənˈvɚ.d͡ʒn̩t\\" } ], "synonyms": [ { "word": "absolutely summable" }, { "word": "converge absolutely" } ], "word": "absolutely convergent" }
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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 2024-12-21 from the frwiktionary dump dated 2024-12-20 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.
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