"algebraic combinatorics" meaning in All languages combined

See algebraic combinatorics on Wiktionary

Noun [English]

Etymology: From late 1970s. Head templates: {{en-noun|-}} algebraic combinatorics (uncountable)
  1. (algebra, combinatorics) A branch of mathematics in which techniques from abstract algebra are applied to problems in combinatorics, and vice versa. Wikipedia link: algebraic combinatorics Tags: uncountable Categories (topical): Algebra, Combinatorics Translations (branch of mathematics at the intersection of combinatorics and algebra): combinatoire algébrique [feminine] (French), combinatoria algebrica [feminine] (Italian)
{
  "etymology_text": "From late 1970s.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "algebraic combinatorics (uncountable)",
      "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": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with French translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Italian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Combinatorics",
          "orig": "en:Combinatorics",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "1982, Trevor Evans, Finite Representations of Two-variable Identities, E. Mendelsohn, Algebraic and Geometric Combinatorics, North-Holland, page 135,\nIt is part of the folklore of algebraic combinatorics that “most' two-variable groupoid identities have non-trivial models in finite fields, the groupoid operation being represented by a linear function ax+by."
        },
        {
          "ref": "1993, I. A. Faradžev, A. A. Ivanov, M. Klin, A. J. Woldar, editors, Investigations in Algebraic Theory of Combinatorial Objects, Kluwer Academic, page vii:",
          "text": "This volume arose through the initiative of Kluwer Academic Publishers in an attempt to introduce some areas of research in algebraic combinatorics which originally appeared in Russian to a wider mathematical community.",
          "type": "quote"
        },
        {
          "ref": "2013, Richard P. Stanley, Algebraic Combinatorics, 2nd edition, Springer, page xi:",
          "text": "This book is intended primarily as a one-semester undergraduate text for a course in algebraic combinatorics.[…]Algebraic combinatorics is a huge subject, so some selection process was necessary to obtain the present text.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A branch of mathematics in which techniques from abstract algebra are applied to problems in combinatorics, and vice versa."
      ],
      "id": "en-algebraic_combinatorics-en-noun-sx0eTkVQ",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "combinatorics",
          "combinatorics"
        ],
        [
          "mathematics",
          "mathematics"
        ],
        [
          "abstract algebra",
          "abstract algebra"
        ],
        [
          "vice versa",
          "vice versa"
        ]
      ],
      "raw_glosses": [
        "(algebra, combinatorics) A branch of mathematics in which techniques from abstract algebra are applied to problems in combinatorics, and vice versa."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "algebra",
        "combinatorics",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fr",
          "lang": "French",
          "sense": "branch of mathematics at the intersection of combinatorics and algebra",
          "tags": [
            "feminine"
          ],
          "word": "combinatoire algébrique"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "branch of mathematics at the intersection of combinatorics and algebra",
          "tags": [
            "feminine"
          ],
          "word": "combinatoria algebrica"
        }
      ],
      "wikipedia": [
        "algebraic combinatorics"
      ]
    }
  ],
  "word": "algebraic combinatorics"
}
{
  "etymology_text": "From late 1970s.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "algebraic combinatorics (uncountable)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with quotations",
        "English uncountable nouns",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with French translations",
        "Terms with Italian translations",
        "en:Algebra",
        "en:Combinatorics"
      ],
      "examples": [
        {
          "text": "1982, Trevor Evans, Finite Representations of Two-variable Identities, E. Mendelsohn, Algebraic and Geometric Combinatorics, North-Holland, page 135,\nIt is part of the folklore of algebraic combinatorics that “most' two-variable groupoid identities have non-trivial models in finite fields, the groupoid operation being represented by a linear function ax+by."
        },
        {
          "ref": "1993, I. A. Faradžev, A. A. Ivanov, M. Klin, A. J. Woldar, editors, Investigations in Algebraic Theory of Combinatorial Objects, Kluwer Academic, page vii:",
          "text": "This volume arose through the initiative of Kluwer Academic Publishers in an attempt to introduce some areas of research in algebraic combinatorics which originally appeared in Russian to a wider mathematical community.",
          "type": "quote"
        },
        {
          "ref": "2013, Richard P. Stanley, Algebraic Combinatorics, 2nd edition, Springer, page xi:",
          "text": "This book is intended primarily as a one-semester undergraduate text for a course in algebraic combinatorics.[…]Algebraic combinatorics is a huge subject, so some selection process was necessary to obtain the present text.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A branch of mathematics in which techniques from abstract algebra are applied to problems in combinatorics, and vice versa."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "combinatorics",
          "combinatorics"
        ],
        [
          "mathematics",
          "mathematics"
        ],
        [
          "abstract algebra",
          "abstract algebra"
        ],
        [
          "vice versa",
          "vice versa"
        ]
      ],
      "raw_glosses": [
        "(algebra, combinatorics) A branch of mathematics in which techniques from abstract algebra are applied to problems in combinatorics, and vice versa."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "algebra",
        "combinatorics",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "algebraic combinatorics"
      ]
    }
  ],
  "translations": [
    {
      "code": "fr",
      "lang": "French",
      "sense": "branch of mathematics at the intersection of combinatorics and algebra",
      "tags": [
        "feminine"
      ],
      "word": "combinatoire algébrique"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "branch of mathematics at the intersection of combinatorics and algebra",
      "tags": [
        "feminine"
      ],
      "word": "combinatoria algebrica"
    }
  ],
  "word": "algebraic combinatorics"
}

Download raw JSONL data for algebraic combinatorics meaning in All languages combined (2.7kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.