"quadratic integer" meaning in English

See quadratic integer in All languages combined, or Wiktionary

Noun

Forms: quadratic integers [plural]
Etymology: Blend of quadratic + algebraic integer. The idea of integer here is that if the coefficient of the x² term is set to 1 (i.e., if the polynomial is made monic), the other coefficients are integers. Etymology templates: {{blend|en|quadratic|algebraic integer}} Blend of quadratic + algebraic integer Head templates: {{en-noun}} quadratic integer (plural quadratic integers)
  1. (mathematics) A number (real or complex) which is a solution to an equation of the form x²+Bx+C=0 for some integers B and C. For example 42, or 2+3i, or 1+√/2. Categories (topical): Mathematics, Numbers Hypernyms (algebraic integer): algebraic number Hyponyms: phi, golden ratio Hyponyms (Gaussian integer / Eisenstein integer): integer, rational integer
    Sense id: en-quadratic_integer-en-noun-DhwWsV0x Categories (other): English blends, English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

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  "etymology_text": "Blend of quadratic + algebraic integer. The idea of integer here is that if the coefficient of the x² term is set to 1 (i.e., if the polynomial is made monic), the other coefficients are integers.",
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      "glosses": [
        "A number (real or complex) which is a solution to an equation of the form x²+Bx+C=0 for some integers B and C. For example 42, or 2+3i, or 1+√/2."
      ],
      "hypernyms": [
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          "sense": "Gaussian integer / Eisenstein integer",
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        "(mathematics) A number (real or complex) which is a solution to an equation of the form x²+Bx+C=0 for some integers B and C. For example 42, or 2+3i, or 1+√/2."
      ],
      "topics": [
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      "word": "phi"
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      "word": "golden ratio"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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        "A number (real or complex) which is a solution to an equation of the form x²+Bx+C=0 for some integers B and C. For example 42, or 2+3i, or 1+√/2."
      ],
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        "(mathematics) A number (real or complex) which is a solution to an equation of the form x²+Bx+C=0 for some integers B and C. For example 42, or 2+3i, or 1+√/2."
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Download raw JSONL data for quadratic integer meaning in English (1.6kB)


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

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