See Abel's identity on Wiktionary
{ "etymology_text": "Proven in 1826 by Niels Henrik Abel.", "head_templates": [ { "args": {}, "expansion": "Abel's identity", "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": [ "An equation expressing the Wronskian of two solutions of a homogeneous second-order linear ordinary differential equation in terms of a coefficient of the original differential equation." ], "id": "en-Abel's_identity-en-name-Ltx-0JZx", "links": [ [ "mathematics", "mathematics" ], [ "equation", "equation" ], [ "Wronskian", "Wronskian" ], [ "solution", "solution" ], [ "homogeneous", "homogeneous" ], [ "ordinary differential equation", "ordinary differential equation" ], [ "coefficient", "coefficient" ], [ "differential equation", "differential equation" ] ], "raw_glosses": [ "(mathematics) An equation expressing the Wronskian of two solutions of a homogeneous second-order linear ordinary differential equation in terms of a coefficient of the original differential equation." ], "synonyms": [ { "word": "Abel's formula" } ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "Niels Henrik Abel" ] } ], "word": "Abel's identity" }
{ "etymology_text": "Proven in 1826 by Niels Henrik Abel.", "head_templates": [ { "args": {}, "expansion": "Abel's identity", "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": [ "An equation expressing the Wronskian of two solutions of a homogeneous second-order linear ordinary differential equation in terms of a coefficient of the original differential equation." ], "links": [ [ "mathematics", "mathematics" ], [ "equation", "equation" ], [ "Wronskian", "Wronskian" ], [ "solution", "solution" ], [ "homogeneous", "homogeneous" ], [ "ordinary differential equation", "ordinary differential equation" ], [ "coefficient", "coefficient" ], [ "differential equation", "differential equation" ] ], "raw_glosses": [ "(mathematics) An equation expressing the Wronskian of two solutions of a homogeneous second-order linear ordinary differential equation in terms of a coefficient of the original differential equation." ], "synonyms": [ { "word": "Abel's formula" } ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "Niels Henrik Abel" ] } ], "word": "Abel's identity" }
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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 2024-12-15 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.
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