See Gelfond-Schneider theorem in All languages combined, or Wiktionary
{ "etymology_text": "It was originally proved independently in 1934 by Aleksandr Gelfond and Theodor Schneider.", "forms": [ { "form": "the Gelfond-Schneider theorem", "tags": [ "canonical" ] } ], "head_templates": [ { "args": { "def": "1" }, "expansion": "the Gelfond-Schneider theorem", "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 theorem that establishes the transcendence of a large class of numbers, stating that, if a and b are algebraic numbers with a ≠ 0, 1, and b irrational, then any value of aᵇ is a transcendental number." ], "id": "en-Gelfond-Schneider_theorem-en-name-yOPhZyXW", "links": [ [ "mathematics", "mathematics" ], [ "transcendence", "transcendence" ], [ "algebraic number", "algebraic number" ], [ "irrational", "irrational" ], [ "transcendental number", "transcendental number" ] ], "raw_glosses": [ "(mathematics) A theorem that establishes the transcendence of a large class of numbers, stating that, if a and b are algebraic numbers with a ≠ 0, 1, and b irrational, then any value of aᵇ is a transcendental number." ], "topics": [ "mathematics", "sciences" ] } ], "word": "Gelfond-Schneider theorem" }
{ "etymology_text": "It was originally proved independently in 1934 by Aleksandr Gelfond and Theodor Schneider.", "forms": [ { "form": "the Gelfond-Schneider theorem", "tags": [ "canonical" ] } ], "head_templates": [ { "args": { "def": "1" }, "expansion": "the Gelfond-Schneider theorem", "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 theorem that establishes the transcendence of a large class of numbers, stating that, if a and b are algebraic numbers with a ≠ 0, 1, and b irrational, then any value of aᵇ is a transcendental number." ], "links": [ [ "mathematics", "mathematics" ], [ "transcendence", "transcendence" ], [ "algebraic number", "algebraic number" ], [ "irrational", "irrational" ], [ "transcendental number", "transcendental number" ] ], "raw_glosses": [ "(mathematics) A theorem that establishes the transcendence of a large class of numbers, stating that, if a and b are algebraic numbers with a ≠ 0, 1, and b irrational, then any value of aᵇ is a transcendental number." ], "topics": [ "mathematics", "sciences" ] } ], "word": "Gelfond-Schneider theorem" }
Download raw JSONL data for Gelfond-Schneider theorem meaning in English (1.3kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-08 from the enwiktionary dump dated 2025-01-01 using wiktextract (9a96ef4 and 4ed51a5). 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.