See Hales-Jewett theorem on Wiktionary
{ "etymology_text": "Named after Alfred W. Hales and Robert I. Jewett.", "forms": [ { "form": "the Hales-Jewett theorem", "tags": [ "canonical" ] } ], "head_templates": [ { "args": { "def": "1" }, "expansion": "the Hales-Jewett 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 fundamental combinatorial result of Ramsey theory, concerning the degree to which high-dimensional objects must necessarily exhibit some combinatorial structure, and cannot be completely random." ], "id": "en-Hales-Jewett_theorem-en-name-DHwdOsFe", "links": [ [ "mathematics", "mathematics" ], [ "fundamental", "fundamental" ], [ "combinatorial", "combinatorial" ], [ "result", "result" ], [ "Ramsey theory", "Ramsey theory" ], [ "random", "random" ] ], "raw_glosses": [ "(mathematics) A fundamental combinatorial result of Ramsey theory, concerning the degree to which high-dimensional objects must necessarily exhibit some combinatorial structure, and cannot be completely random." ], "topics": [ "mathematics", "sciences" ] } ], "word": "Hales-Jewett theorem" }
{ "etymology_text": "Named after Alfred W. Hales and Robert I. Jewett.", "forms": [ { "form": "the Hales-Jewett theorem", "tags": [ "canonical" ] } ], "head_templates": [ { "args": { "def": "1" }, "expansion": "the Hales-Jewett 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 fundamental combinatorial result of Ramsey theory, concerning the degree to which high-dimensional objects must necessarily exhibit some combinatorial structure, and cannot be completely random." ], "links": [ [ "mathematics", "mathematics" ], [ "fundamental", "fundamental" ], [ "combinatorial", "combinatorial" ], [ "result", "result" ], [ "Ramsey theory", "Ramsey theory" ], [ "random", "random" ] ], "raw_glosses": [ "(mathematics) A fundamental combinatorial result of Ramsey theory, concerning the degree to which high-dimensional objects must necessarily exhibit some combinatorial structure, and cannot be completely random." ], "topics": [ "mathematics", "sciences" ] } ], "word": "Hales-Jewett theorem" }
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