"zero locus" meaning in All languages combined

See zero locus on Wiktionary

Noun [English]

Forms: zero loci [plural]
Head templates: {{en-noun|zero loci}} zero locus (plural zero loci)
  1. (algebraic geometry, of a polynomial, or, more generally, a function) The set of points (usually in affine or projective space, but more generally in the domain of the function) where the given polynomial (or function) takes the value zero. Tags: broadly Categories (topical): Algebraic geometry Synonyms: vanishing locus

Inflected forms

{
  "forms": [
    {
      "form": "zero loci",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "zero loci"
      },
      "expansion": "zero locus (plural zero loci)",
      "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": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebraic geometry",
          "orig": "en:Algebraic geometry",
          "parents": [
            "Algebra",
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The set of points (usually in affine or projective space, but more generally in the domain of the function) where the given polynomial (or function) takes the value zero."
      ],
      "id": "en-zero_locus-en-noun-3~XJZa40",
      "links": [
        [
          "algebraic geometry",
          "algebraic geometry"
        ],
        [
          "polynomial",
          "polynomial"
        ],
        [
          "function",
          "function"
        ],
        [
          "point",
          "point"
        ],
        [
          "affine",
          "affine space"
        ],
        [
          "projective",
          "projective space"
        ],
        [
          "domain",
          "domain"
        ],
        [
          "zero",
          "zero"
        ]
      ],
      "qualifier": "or; a function; or; a function",
      "raw_glosses": [
        "(algebraic geometry, of a polynomial, or, more generally, a function) The set of points (usually in affine or projective space, but more generally in the domain of the function) where the given polynomial (or function) takes the value zero."
      ],
      "raw_tags": [
        "of a polynomial"
      ],
      "synonyms": [
        {
          "word": "vanishing locus"
        }
      ],
      "tags": [
        "broadly"
      ],
      "topics": [
        "algebraic-geometry",
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "zero locus"
}
{
  "forms": [
    {
      "form": "zero loci",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "zero loci"
      },
      "expansion": "zero locus (plural zero loci)",
      "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",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Algebraic geometry"
      ],
      "glosses": [
        "The set of points (usually in affine or projective space, but more generally in the domain of the function) where the given polynomial (or function) takes the value zero."
      ],
      "links": [
        [
          "algebraic geometry",
          "algebraic geometry"
        ],
        [
          "polynomial",
          "polynomial"
        ],
        [
          "function",
          "function"
        ],
        [
          "point",
          "point"
        ],
        [
          "affine",
          "affine space"
        ],
        [
          "projective",
          "projective space"
        ],
        [
          "domain",
          "domain"
        ],
        [
          "zero",
          "zero"
        ]
      ],
      "qualifier": "or; a function; or; a function",
      "raw_glosses": [
        "(algebraic geometry, of a polynomial, or, more generally, a function) The set of points (usually in affine or projective space, but more generally in the domain of the function) where the given polynomial (or function) takes the value zero."
      ],
      "raw_tags": [
        "of a polynomial"
      ],
      "synonyms": [
        {
          "word": "vanishing locus"
        }
      ],
      "tags": [
        "broadly"
      ],
      "topics": [
        "algebraic-geometry",
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "zero locus"
}

Download raw JSONL data for zero locus meaning in All languages combined (1.4kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.