"Ramsey number" meaning in English

{
  "etymology_text": "Named after Frank Plumpton Ramsey (1903–1930), British mathematician, philosopher and economist.",
  "forms": [
    {
      "form": "Ramsey numbers",
      "tags": [
        "plural"
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      "expansion": "Ramsey number (plural Ramsey numbers)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "Any one of a certain set of numbers which are guaranteed to exist by Ramsey's theorem; a positive integer which is a certain function of some given multiset of positive integers, where that \"certain function\" is that which yields the minimal number guaranteed to exist by Ramsey's theorem."
      ],
      "id": "en-Ramsey_number-en-noun-C~Js8dNs",
      "links": [
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          "combinatorics",
          "combinatorics"
        ],
        [
          "Ramsey's theorem",
          "Ramsey's theorem"
        ],
        [
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          "positive"
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        [
          "integer",
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          "function",
          "function"
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      "raw_glosses": [
        "(combinatorics) Any one of a certain set of numbers which are guaranteed to exist by Ramsey's theorem; a positive integer which is a certain function of some given multiset of positive integers, where that \"certain function\" is that which yields the minimal number guaranteed to exist by Ramsey's theorem."
      ],
      "topics": [
        "combinatorics",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Frank Plumpton Ramsey",
        "Ramsey number"
      ]
    }
  ],
  "word": "Ramsey number"
}

{
  "etymology_text": "Named after Frank Plumpton Ramsey (1903–1930), British mathematician, philosopher and economist.",
  "forms": [
    {
      "form": "Ramsey numbers",
      "tags": [
        "plural"
      ]
    }
  ],
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      "expansion": "Ramsey number (plural Ramsey numbers)",
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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    {
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        "English countable nouns",
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        "en:Combinatorics"
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      "glosses": [
        "Any one of a certain set of numbers which are guaranteed to exist by Ramsey's theorem; a positive integer which is a certain function of some given multiset of positive integers, where that \"certain function\" is that which yields the minimal number guaranteed to exist by Ramsey's theorem."
      ],
      "links": [
        [
          "combinatorics",
          "combinatorics"
        ],
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          "Ramsey's theorem",
          "Ramsey's theorem"
        ],
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          "positive",
          "positive"
        ],
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          "integer",
          "integer"
        ],
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          "function",
          "function"
        ],
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          "multiset",
          "multiset"
        ]
      ],
      "raw_glosses": [
        "(combinatorics) Any one of a certain set of numbers which are guaranteed to exist by Ramsey's theorem; a positive integer which is a certain function of some given multiset of positive integers, where that \"certain function\" is that which yields the minimal number guaranteed to exist by Ramsey's theorem."
      ],
      "topics": [
        "combinatorics",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Frank Plumpton Ramsey",
        "Ramsey number"
      ]
    }
  ],
  "word": "Ramsey number"
}