"Dyck word" meaning in English

See Dyck word in All languages combined, or Wiktionary

Noun

Forms: Dyck words [plural]
Etymology: Named after the mathematician Walther von Dyck. Head templates: {{en-noun}} Dyck word (plural Dyck words)
  1. (mathematics, combinatorics) A string consisting of n X's and n Y's such that no initial segment of the string has more Y's than X's. Categories (topical): Combinatorics, Mathematics Related terms: Dyck language Translations (a string of n X's and n Y's): מילת דיק (milát dík) [feminine] (Hebrew)

Inflected forms

Download JSON data for Dyck word meaning in English (1.9kB)

{
  "etymology_text": "Named after the mathematician Walther von Dyck.",
  "forms": [
    {
      "form": "Dyck words",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Dyck word (plural Dyck words)",
      "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": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Combinatorics",
          "orig": "en:Combinatorics",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A string consisting of n X's and n Y's such that no initial segment of the string has more Y's than X's."
      ],
      "id": "en-Dyck_word-en-noun-lhn15nfu",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "combinatorics",
          "combinatorics"
        ],
        [
          "string",
          "string"
        ]
      ],
      "raw_glosses": [
        "(mathematics, combinatorics) A string consisting of n X's and n Y's such that no initial segment of the string has more Y's than X's."
      ],
      "related": [
        {
          "word": "Dyck language"
        }
      ],
      "topics": [
        "combinatorics",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "he",
          "lang": "Hebrew",
          "roman": "milát dík",
          "sense": "a string of n X's and n Y's",
          "tags": [
            "feminine"
          ],
          "word": "מילת דיק"
        }
      ]
    }
  ],
  "word": "Dyck word"
}
{
  "etymology_text": "Named after the mathematician Walther von Dyck.",
  "forms": [
    {
      "form": "Dyck words",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Dyck word (plural Dyck words)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Dyck language"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Combinatorics",
        "en:Mathematics"
      ],
      "glosses": [
        "A string consisting of n X's and n Y's such that no initial segment of the string has more Y's than X's."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "combinatorics",
          "combinatorics"
        ],
        [
          "string",
          "string"
        ]
      ],
      "raw_glosses": [
        "(mathematics, combinatorics) A string consisting of n X's and n Y's such that no initial segment of the string has more Y's than X's."
      ],
      "topics": [
        "combinatorics",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "he",
      "lang": "Hebrew",
      "roman": "milát dík",
      "sense": "a string of n X's and n Y's",
      "tags": [
        "feminine"
      ],
      "word": "מילת דיק"
    }
  ],
  "word": "Dyck word"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-30 from the enwiktionary dump dated 2024-04-21 using wiktextract (210104c 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.

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