"zero locus" meaning in English

See zero locus in All languages combined, or Wiktionary

Noun

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
    Sense id: en-zero_locus-en-noun-3~XJZa40 Categories (other): English entries with incorrect language header Topics: algebraic-geometry, geometry, mathematics, sciences

Inflected forms

Download JSON data for zero locus meaning in English (1.6kB)

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  "head_templates": [
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "orig": "en:Algebraic geometry",
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        }
      ],
      "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": [
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        ],
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        [
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        [
          "zero",
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        ]
      ],
      "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": [
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      "topics": [
        "algebraic-geometry",
        "geometry",
        "mathematics",
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  "word": "zero locus"
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{
  "forms": [
    {
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  "head_templates": [
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  "lang_code": "en",
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        "English entries with incorrect language header",
        "English lemmas",
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        "English nouns",
        "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"
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      ],
      "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"
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      "synonyms": [
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  "word": "zero locus"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-16 from the enwiktionary dump dated 2024-05-02 using wiktextract (e268c0e and 304864d). 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.