"Helly dimension" meaning in English

See Helly dimension in All languages combined, or Wiktionary

Noun

Forms: Helly dimensions [plural]
Etymology: Named after Eduard Helly. Head templates: {{en-noun}} Helly dimension (plural Helly dimensions)
  1. (combinatorics) A value associated with a metric space, being one less than the Helly number of the family of metric balls in that space. Wikipedia link: Eduard Helly Categories (topical): Combinatorics
    Sense id: en-Helly_dimension-en-noun-wNIq3hUC Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: combinatorics, mathematics, sciences

Inflected forms

{
  "etymology_text": "Named after Eduard Helly.",
  "forms": [
    {
      "form": "Helly dimensions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "args": {},
      "expansion": "Helly dimension (plural Helly dimensions)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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          "source": "w"
        },
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        {
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          "kind": "topical",
          "langcode": "en",
          "name": "Combinatorics",
          "orig": "en:Combinatorics",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "Helly's theorem implies that the Helly dimension of a Euclidean space equals its dimension as a real vector space.",
          "type": "example"
        }
      ],
      "glosses": [
        "A value associated with a metric space, being one less than the Helly number of the family of metric balls in that space."
      ],
      "id": "en-Helly_dimension-en-noun-wNIq3hUC",
      "links": [
        [
          "combinatorics",
          "combinatorics"
        ],
        [
          "metric space",
          "metric space"
        ],
        [
          "Helly number",
          "Helly number"
        ]
      ],
      "raw_glosses": [
        "(combinatorics) A value associated with a metric space, being one less than the Helly number of the family of metric balls in that space."
      ],
      "topics": [
        "combinatorics",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Eduard Helly"
      ]
    }
  ],
  "word": "Helly dimension"
}
{
  "etymology_text": "Named after Eduard Helly.",
  "forms": [
    {
      "form": "Helly dimensions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Helly dimension (plural Helly dimensions)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with usage examples",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Combinatorics"
      ],
      "examples": [
        {
          "text": "Helly's theorem implies that the Helly dimension of a Euclidean space equals its dimension as a real vector space.",
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        }
      ],
      "glosses": [
        "A value associated with a metric space, being one less than the Helly number of the family of metric balls in that space."
      ],
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          "combinatorics",
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      "raw_glosses": [
        "(combinatorics) A value associated with a metric space, being one less than the Helly number of the family of metric balls in that space."
      ],
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        "combinatorics",
        "mathematics",
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      ],
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}

Download raw JSONL data for Helly dimension meaning in English (1.2kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-10-22 from the enwiktionary dump dated 2024-10-02 using wiktextract (eaa6b66 and a709d4b). 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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