See Dynkin diagram on Wiktionary
{ "etymology_text": "After mathematician Eugene Dynkin.", "forms": [ { "form": "Dynkin diagrams", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Dynkin diagram (plural Dynkin diagrams)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "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 graph with some edges drawn as double or triple lines, arising in the classification of semisimple Lie algebras over algebraically closed fields, in the classification of Weyl groups and other finite reflection groups, and in other contexts." ], "id": "en-Dynkin_diagram-en-noun-4bmkHmfg", "links": [ [ "mathematics", "mathematics" ], [ "graph", "graph" ], [ "edge", "edge" ], [ "semisimple", "semisimple" ], [ "Lie algebra", "Lie algebra" ], [ "algebraically closed", "algebraically closed" ], [ "field", "field" ], [ "Weyl group", "Weyl group" ] ], "raw_glosses": [ "(mathematics) A graph with some edges drawn as double or triple lines, arising in the classification of semisimple Lie algebras over algebraically closed fields, in the classification of Weyl groups and other finite reflection groups, and in other contexts." ], "related": [ { "word": "Coxeter-Dynkin diagram" } ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "Dynkin diagram", "Eugene Dynkin" ] } ], "word": "Dynkin diagram" }
{ "etymology_text": "After mathematician Eugene Dynkin.", "forms": [ { "form": "Dynkin diagrams", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Dynkin diagram (plural Dynkin diagrams)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "word": "Coxeter-Dynkin diagram" } ], "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English nouns", "Pages with 1 entry", "Pages with entries", "en:Mathematics" ], "glosses": [ "A graph with some edges drawn as double or triple lines, arising in the classification of semisimple Lie algebras over algebraically closed fields, in the classification of Weyl groups and other finite reflection groups, and in other contexts." ], "links": [ [ "mathematics", "mathematics" ], [ "graph", "graph" ], [ "edge", "edge" ], [ "semisimple", "semisimple" ], [ "Lie algebra", "Lie algebra" ], [ "algebraically closed", "algebraically closed" ], [ "field", "field" ], [ "Weyl group", "Weyl group" ] ], "raw_glosses": [ "(mathematics) A graph with some edges drawn as double or triple lines, arising in the classification of semisimple Lie algebras over algebraically closed fields, in the classification of Weyl groups and other finite reflection groups, and in other contexts." ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "Dynkin diagram", "Eugene Dynkin" ] } ], "word": "Dynkin diagram" }
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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 2024-12-01 from the enwiktionary dump dated 2024-11-21 using wiktextract (95d2be1 and 64224ec). 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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