"Ramsey's theorem" meaning in All languages combined

See Ramsey's theorem on Wiktionary

Noun [English]

Forms: Ramsey's theorems [plural]
Etymology: Named after British mathematician and philosopher Frank P. Ramsey. Head templates: {{en-noun|~}} Ramsey's theorem (countable and uncountable, plural Ramsey's theorems)
  1. (mathematics) A (version of a) theorem concerning the existence of cliques in a labelled complete graph.
    The theorem that any graph labelling (with colours) of a sufficiently large complete graph contains monochromatic cliques.
    Tags: countable, uncountable Categories (topical): Mathematics
    Sense id: en-Ramsey's_theorem-en-noun-FiKraWYV Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 50 50 Disambiguation of Pages with 1 entry: 50 50 Disambiguation of Pages with entries: 50 50 Topics: mathematics, sciences
  2. (mathematics) A (version of a) theorem concerning the existence of cliques in a labelled complete graph.
    The theorem that any graph labelling (with colours) of an infinite complete graph contains at least one infinite monochromatic clique.
    Tags: countable, uncountable Categories (topical): Mathematics Synonyms (infinite version of theorem): infinite Ramsey's theorem
    Sense id: en-Ramsey's_theorem-en-noun-qKMGvzfo Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 50 50 Disambiguation of Pages with 1 entry: 50 50 Disambiguation of Pages with entries: 50 50 Topics: mathematics, sciences Disambiguation of 'infinite version of theorem': 41 59
The following are not (yet) sense-disambiguated
Synonyms (finite version of theorem): finite Ramsey's theorem
Disambiguation of 'finite version of theorem': 50 50

Inflected forms

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  "etymology_text": "Named after British mathematician and philosopher Frank P. Ramsey.",
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        "(mathematics) A (version of a) theorem concerning the existence of cliques in a labelled complete graph.",
        "The theorem that any graph labelling (with colours) of a sufficiently large complete graph contains monochromatic cliques."
      ],
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        "(mathematics) A (version of a) theorem concerning the existence of cliques in a labelled complete graph.",
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      ],
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}

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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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