See Fuglede's conjecture in All languages combined, or Wiktionary
{ "etymology_text": "Proposed by Danish mathematician Bent Fuglede in 1974", "head_templates": [ { "args": {}, "expansion": "Fuglede's conjecture", "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": [ "The conjecture that every domain of ℝᵈ (i.e. subset of ℝᵈ with positive finite Lebesgue measure) is a spectral set if and only if it tiles ℝᵈ by translation." ], "id": "en-Fuglede's_conjecture-en-name-hJUeR~Yg", "links": [ [ "mathematics", "mathematics" ], [ "domain", "domain" ], [ "Lebesgue measure", "Lebesgue measure" ], [ "spectral set", "spectral set" ], [ "tile", "tile" ], [ "translation", "translation" ] ], "raw_glosses": [ "(mathematics) The conjecture that every domain of ℝᵈ (i.e. subset of ℝᵈ with positive finite Lebesgue measure) is a spectral set if and only if it tiles ℝᵈ by translation." ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "Bent Fuglede" ] } ], "word": "Fuglede's conjecture" }
{ "etymology_text": "Proposed by Danish mathematician Bent Fuglede in 1974", "head_templates": [ { "args": {}, "expansion": "Fuglede's conjecture", "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": [ "The conjecture that every domain of ℝᵈ (i.e. subset of ℝᵈ with positive finite Lebesgue measure) is a spectral set if and only if it tiles ℝᵈ by translation." ], "links": [ [ "mathematics", "mathematics" ], [ "domain", "domain" ], [ "Lebesgue measure", "Lebesgue measure" ], [ "spectral set", "spectral set" ], [ "tile", "tile" ], [ "translation", "translation" ] ], "raw_glosses": [ "(mathematics) The conjecture that every domain of ℝᵈ (i.e. subset of ℝᵈ with positive finite Lebesgue measure) is a spectral set if and only if it tiles ℝᵈ by translation." ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "Bent Fuglede" ] } ], "word": "Fuglede's conjecture" }
Download raw JSONL data for Fuglede's conjecture meaning in English (1.1kB)
This page is a part of the kaikki.org machine-readable English 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.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.