"groundset" meaning in All languages combined

See groundset on Wiktionary

Noun [English]

Forms: groundsets [plural]
Head templates: {{en-noun}} groundset (plural groundsets)
  1. (mathematics) A vector space upon which matroids may be paved Categories (topical): Mathematics
    Sense id: en-groundset-en-noun-Q6fi4BFI Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Inflected forms

Download JSON data for groundset meaning in All languages combined (1.2kB)

{
  "forms": [
    {
      "form": "groundsets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "groundset (plural groundsets)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Rudi Pendavingh, Jorn van der Pol, “Enumerating matroids of fixed rank”, in arXiv",
          "text": "In this paper we consider the relation between the number of sparse paving matroids s(n,r) and the number of matroids m(n,r) on a fixed groundset of size n of fixed rank r.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A vector space upon which matroids may be paved"
      ],
      "id": "en-groundset-en-noun-Q6fi4BFI",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "vector space",
          "vector space"
        ],
        [
          "matroid",
          "matroid"
        ],
        [
          "pave",
          "pave"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A vector space upon which matroids may be paved"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "groundset"
}
{
  "forms": [
    {
      "form": "groundsets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "groundset (plural groundsets)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms with quotations",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, Rudi Pendavingh, Jorn van der Pol, “Enumerating matroids of fixed rank”, in arXiv",
          "text": "In this paper we consider the relation between the number of sparse paving matroids s(n,r) and the number of matroids m(n,r) on a fixed groundset of size n of fixed rank r.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A vector space upon which matroids may be paved"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "vector space",
          "vector space"
        ],
        [
          "matroid",
          "matroid"
        ],
        [
          "pave",
          "pave"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A vector space upon which matroids may be paved"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "groundset"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-01 from the enwiktionary dump dated 2024-05-02 using wiktextract (384852d and db5a844). 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.