"Gröbner basis" meaning in All languages combined

{
  "etymology_text": "Introduced in 1965 by Austrian mathematician Bruno Buchberger, who named them after his academic advisor Wolfgang Gröbner.",
  "forms": [
    {
      "form": "Gröbner bases",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "Gröbner bases"
      },
      "expansion": "Gröbner basis (plural Gröbner bases)",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "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": "Theory of computing",
          "orig": "en:Theory of computing",
          "parents": [
            "Computer science",
            "Computing",
            "Sciences",
            "Technology",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A particular kind of generating set of an ideal in a polynomial ring K[x1, ..,xn] over a field K. It allows many important properties of the ideal and the associated algebraic variety to be deduced easily, such as the dimension and the number of zeros when it is finite."
      ],
      "id": "en-Gröbner_basis-en-name-G086wka4",
      "links": [
        [
          "computing",
          "computing#Noun"
        ],
        [
          "theory",
          "theory"
        ],
        [
          "ideal",
          "ideal"
        ],
        [
          "polynomial",
          "polynomial"
        ],
        [
          "ring",
          "ring"
        ]
      ],
      "raw_glosses": [
        "(computing theory) A particular kind of generating set of an ideal in a polynomial ring K[x1, ..,xn] over a field K. It allows many important properties of the ideal and the associated algebraic variety to be deduced easily, such as the dimension and the number of zeros when it is finite."
      ],
      "topics": [
        "computing",
        "computing-theory",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ],
      "wikipedia": [
        "Bruno Buchberger",
        "Gröbner basis",
        "Wolfgang Gröbner"
      ]
    }
  ],
  "word": "Gröbner basis"
}

{
  "etymology_text": "Introduced in 1965 by Austrian mathematician Bruno Buchberger, who named them after his academic advisor Wolfgang Gröbner.",
  "forms": [
    {
      "form": "Gröbner bases",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "Gröbner bases"
      },
      "expansion": "Gröbner basis (plural Gröbner bases)",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English terms spelled with Ö",
        "English terms spelled with ◌̈",
        "English terms with non-redundant non-automated sortkeys",
        "English uncountable nouns",
        "en:Theory of computing"
      ],
      "glosses": [
        "A particular kind of generating set of an ideal in a polynomial ring K[x1, ..,xn] over a field K. It allows many important properties of the ideal and the associated algebraic variety to be deduced easily, such as the dimension and the number of zeros when it is finite."
      ],
      "links": [
        [
          "computing",
          "computing#Noun"
        ],
        [
          "theory",
          "theory"
        ],
        [
          "ideal",
          "ideal"
        ],
        [
          "polynomial",
          "polynomial"
        ],
        [
          "ring",
          "ring"
        ]
      ],
      "raw_glosses": [
        "(computing theory) A particular kind of generating set of an ideal in a polynomial ring K[x1, ..,xn] over a field K. It allows many important properties of the ideal and the associated algebraic variety to be deduced easily, such as the dimension and the number of zeros when it is finite."
      ],
      "topics": [
        "computing",
        "computing-theory",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ],
      "wikipedia": [
        "Bruno Buchberger",
        "Gröbner basis",
        "Wolfgang Gröbner"
      ]
    }
  ],
  "word": "Gröbner basis"
}