Bézout's theorem in English

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  "etymology_text": "Named after Étienne Bézout.",
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      "glosses": [
        "A statement in algebraic geometry concerning the number of common zeros of n polynomials in n indeterminates. In its original form, the theorem states that in general the number of common zeros equals the product of the degrees of the polynomials."
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      "raw_glosses": [
        "(mathematics) A statement in algebraic geometry concerning the number of common zeros of n polynomials in n indeterminates. In its original form, the theorem states that in general the number of common zeros equals the product of the degrees of the polynomials."
      ],
      "topics": [
        "mathematics",
        "sciences"
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      "wikipedia": [
        "Bézout's theorem",
        "Étienne Bézout"
      ]
    }
  ],
  "word": "Bézout's theorem"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "etymology_text": "Named after Étienne Bézout.",
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      "glosses": [
        "A statement in algebraic geometry concerning the number of common zeros of n polynomials in n indeterminates. In its original form, the theorem states that in general the number of common zeros equals the product of the degrees of the polynomials."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
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          "product",
          "product"
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      "raw_glosses": [
        "(mathematics) A statement in algebraic geometry concerning the number of common zeros of n polynomials in n indeterminates. In its original form, the theorem states that in general the number of common zeros equals the product of the degrees of the polynomials."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Bézout's theorem",
        "Étienne Bézout"
      ]
    }
  ],
  "word": "Bézout's theorem"
}

This page is a part of the kaikki.org machine-readable English 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.

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"Bézout's theorem" meaning in English

Proper name