"Helly family" meaning in All languages combined

See Helly family on Wiktionary

Noun [English]

Forms: Helly families [plural]
Etymology: Named after the mathematician Eduard Helly (1884-1943). Head templates: {{en-noun}} Helly family (plural Helly families)
  1. (combinatorics) A family of order k of sets, such that any minimal subfamily with an empty intersection has k or fewer sets in it. Wikipedia link: Eduard Helly, Helly family Categories (topical): Combinatorics Related terms: Helly property

Inflected forms

Download JSON data for Helly family meaning in All languages combined (1.7kB)

{
  "etymology_text": "Named after the mathematician Eduard Helly (1884-1943).",
  "forms": [
    {
      "form": "Helly families",
      "tags": [
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  ],
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "name": "English entries with incorrect language header",
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Combinatorics",
          "orig": "en:Combinatorics",
          "parents": [
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            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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        }
      ],
      "glosses": [
        "A family of order k of sets, such that any minimal subfamily with an empty intersection has k or fewer sets in it."
      ],
      "id": "en-Helly_family-en-noun-SCIJ4G1h",
      "links": [
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        [
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        ],
        [
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        ],
        [
          "subfamily",
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        ],
        [
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        [
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        ]
      ],
      "raw_glosses": [
        "(combinatorics) A family of order k of sets, such that any minimal subfamily with an empty intersection has k or fewer sets in it."
      ],
      "related": [
        {
          "word": "Helly property"
        }
      ],
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      ],
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      ]
    }
  ],
  "word": "Helly family"
}
{
  "etymology_text": "Named after the mathematician Eduard Helly (1884-1943).",
  "forms": [
    {
      "form": "Helly families",
      "tags": [
        "plural"
      ]
    }
  ],
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    }
  ],
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  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Helly property"
    }
  ],
  "senses": [
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        "en:Combinatorics"
      ],
      "glosses": [
        "A family of order k of sets, such that any minimal subfamily with an empty intersection has k or fewer sets in it."
      ],
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        ],
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      "raw_glosses": [
        "(combinatorics) A family of order k of sets, such that any minimal subfamily with an empty intersection has k or fewer sets in it."
      ],
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        "combinatorics",
        "mathematics",
        "sciences"
      ],
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      ]
    }
  ],
  "word": "Helly family"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.