"biquadratic" meaning in All languages combined

See biquadratic on Wiktionary

Adjective [English]

Etymology: From bi- + quadratic. Etymology templates: {{prefix|en|bi|quadratic}} bi- + quadratic Head templates: {{en-adj|-}} biquadratic (not comparable)
  1. (mathematics) Of a polynomial expression, involving only the zeroth, second, and fourth powers of a variable, as x⁴ + 3x² + 2. Sometimes extended to any expression involving the biquadrate or fourth power (but no higher powers), as x⁴ − 4x³ + 3x² − x + 1. Tags: not-comparable Derived forms: biquadratically Translations (Translations): bikvadraattinen (Finnish), bicarré (French), bikwadratowy (Polish), dwukwadratowy (Polish)
    Sense id: en-biquadratic-en-adj-qZffBqsG Categories (other): Mathematics, English entries with incorrect language header, English terms prefixed with bi-, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Finnish translations, Terms with French translations, Terms with Polish translations Disambiguation of English entries with incorrect language header: 85 15 Disambiguation of English terms prefixed with bi-: 61 39 Disambiguation of Entries with translation boxes: 81 19 Disambiguation of Pages with 1 entry: 77 23 Disambiguation of Pages with entries: 92 8 Disambiguation of Terms with Finnish translations: 81 19 Disambiguation of Terms with French translations: 82 18 Disambiguation of Terms with Polish translations: 79 21 Topics: mathematics, sciences

Noun [English]

Forms: biquadratics [plural]
Etymology: From bi- + quadratic. Etymology templates: {{prefix|en|bi|quadratic}} bi- + quadratic Head templates: {{en-noun}} biquadratic (plural biquadratics)
  1. (mathematics) A biquadratic equation. Related terms: quadratic, quartic
    Sense id: en-biquadratic-en-noun-l0e-Z6W- Categories (other): Mathematics Topics: mathematics, sciences

Inflected forms

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    {
      "args": {
        "1": "en",
        "2": "bi",
        "3": "quadratic"
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      "expansion": "bi- + quadratic",
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  "etymology_text": "From bi- + quadratic.",
  "head_templates": [
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      "args": {
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  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
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        {
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          "langcode": "en",
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          "orig": "en:Mathematics",
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          "source": "w"
        },
        {
          "_dis": "85 15",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "61 39",
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          "name": "English terms prefixed with bi-",
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          "source": "w+disamb"
        },
        {
          "_dis": "81 19",
          "kind": "other",
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          "source": "w+disamb"
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        {
          "_dis": "77 23",
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          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "92 8",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
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        {
          "_dis": "81 19",
          "kind": "other",
          "name": "Terms with Finnish translations",
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          "source": "w+disamb"
        },
        {
          "_dis": "82 18",
          "kind": "other",
          "name": "Terms with French translations",
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          "source": "w+disamb"
        },
        {
          "_dis": "79 21",
          "kind": "other",
          "name": "Terms with Polish translations",
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          "source": "w+disamb"
        }
      ],
      "derived": [
        {
          "word": "biquadratically"
        }
      ],
      "glosses": [
        "Of a polynomial expression, involving only the zeroth, second, and fourth powers of a variable, as x⁴ + 3x² + 2. Sometimes extended to any expression involving the biquadrate or fourth power (but no higher powers), as x⁴ − 4x³ + 3x² − x + 1."
      ],
      "id": "en-biquadratic-en-adj-qZffBqsG",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "polynomial",
          "polynomial"
        ],
        [
          "biquadrate",
          "biquadrate"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Of a polynomial expression, involving only the zeroth, second, and fourth powers of a variable, as x⁴ + 3x² + 2. Sometimes extended to any expression involving the biquadrate or fourth power (but no higher powers), as x⁴ − 4x³ + 3x² − x + 1."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "bikvadraattinen"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "Translations",
          "word": "bicarré"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "Translations",
          "word": "bikwadratowy"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "Translations",
          "word": "dwukwadratowy"
        }
      ]
    }
  ],
  "word": "biquadratic"
}

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      "expansion": "bi- + quadratic",
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    }
  ],
  "etymology_text": "From bi- + quadratic.",
  "forms": [
    {
      "form": "biquadratics",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "args": {},
      "expansion": "biquadratic (plural biquadratics)",
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        "A biquadratic equation."
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      "raw_glosses": [
        "(mathematics) A biquadratic equation."
      ],
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          "word": "quartic"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
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    }
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  "word": "biquadratic"
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{
  "categories": [
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    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
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    "English uncomparable adjectives",
    "Entries with translation boxes",
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    "Pages with entries",
    "Terms with Finnish translations",
    "Terms with French translations",
    "Terms with Polish translations",
    "Translation table header lacks gloss"
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      "expansion": "bi- + quadratic",
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  ],
  "etymology_text": "From bi- + quadratic.",
  "head_templates": [
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      },
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  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
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      ],
      "glosses": [
        "Of a polynomial expression, involving only the zeroth, second, and fourth powers of a variable, as x⁴ + 3x² + 2. Sometimes extended to any expression involving the biquadrate or fourth power (but no higher powers), as x⁴ − 4x³ + 3x² − x + 1."
      ],
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          "polynomial",
          "polynomial"
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          "biquadrate"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Of a polynomial expression, involving only the zeroth, second, and fourth powers of a variable, as x⁴ + 3x² + 2. Sometimes extended to any expression involving the biquadrate or fourth power (but no higher powers), as x⁴ − 4x³ + 3x² − x + 1."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "bikvadraattinen"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "Translations",
      "word": "bicarré"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "Translations",
      "word": "bikwadratowy"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "Translations",
      "word": "dwukwadratowy"
    }
  ],
  "word": "biquadratic"
}

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    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms prefixed with bi-",
    "English uncomparable adjectives",
    "Entries with translation boxes",
    "Pages with 1 entry",
    "Pages with entries",
    "Terms with Finnish translations",
    "Terms with French translations",
    "Terms with Polish translations",
    "Translation table header lacks gloss"
  ],
  "etymology_templates": [
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    }
  ],
  "etymology_text": "From bi- + quadratic.",
  "forms": [
    {
      "form": "biquadratics",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "args": {},
      "expansion": "biquadratic (plural biquadratics)",
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  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "quadratic"
    },
    {
      "word": "quartic"
    }
  ],
  "senses": [
    {
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        "en:Mathematics"
      ],
      "glosses": [
        "A biquadratic equation."
      ],
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          "mathematics"
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          "equation"
        ]
      ],
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        "(mathematics) A biquadratic equation."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "biquadratic"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-05-08 from the enwiktionary dump dated 2025-05-01 using wiktextract (887c61b and 3d4dee6). 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.