"crossing number" meaning in All languages combined

See crossing number on Wiktionary

Noun [English]

Forms: crossing numbers [plural]
Head templates: {{en-noun}} crossing number (plural crossing numbers)
  1. (mathematics) The minimum, taken over all planar representations of a link or graph, of the number of times it crosses itself. Wikipedia link: crossing number Categories (topical): Mathematics
    Sense id: en-crossing_number-en-noun-ewPWzB7w Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Inflected forms

Download JSON data for crossing number meaning in All languages combined (1.1kB)

{
  "forms": [
    {
      "form": "crossing numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "crossing number (plural crossing numbers)",
      "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"
        }
      ],
      "glosses": [
        "The minimum, taken over all planar representations of a link or graph, of the number of times it crosses itself."
      ],
      "id": "en-crossing_number-en-noun-ewPWzB7w",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "minimum",
          "minimum"
        ],
        [
          "planar",
          "planar"
        ],
        [
          "link",
          "link"
        ],
        [
          "graph",
          "graph"
        ],
        [
          "cross",
          "cross"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The minimum, taken over all planar representations of a link or graph, of the number of times it crosses itself."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "crossing number"
      ]
    }
  ],
  "word": "crossing number"
}

{
  "forms": [
    {
      "form": "crossing numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "crossing number (plural crossing numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Mathematics"
      ],
      "glosses": [
        "The minimum, taken over all planar representations of a link or graph, of the number of times it crosses itself."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "minimum",
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        ],
        [
          "planar",
          "planar"
        ],
        [
          "link",
          "link"
        ],
        [
          "graph",
          "graph"
        ],
        [
          "cross",
          "cross"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The minimum, taken over all planar representations of a link or graph, of the number of times it crosses itself."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "crossing number"
      ]
    }
  ],
  "word": "crossing number"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-09 from the enwiktionary dump dated 2024-05-02 using wiktextract (4d5d0bb and edd475d). 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.