"homogeneous polynomial" meaning in All languages combined

See homogeneous polynomial on Wiktionary

Noun [English]

Forms: homogeneous polynomials [plural]
Head templates: {{en-noun}} homogeneous polynomial (plural homogeneous polynomials)
  1. (mathematics) a polynomial such that the sum of the exponents of the variables is the same for every term. Categories (topical): Functions, Mathematics Hyponyms: quantic Translations (mathematics: polynomial such that the sum of the exponents of the variables is the same for every term): 齐次多项式 (qícì duōxiàngshì) (Chinese Mandarin), homogeeninen polynomi (Finnish), homogenes Polynom [neuter] (German), einsleit margliða [feminine] (Icelandic), jafnþætt margliða [feminine] (Icelandic), form [neuter] (Icelandic), wielomian jednorodny [masculine] (Polish), tulad-uriing damikay (Tagalog)

Inflected forms

Alternative forms

Download JSONL data for homogeneous polynomial meaning in All languages combined (4.0kB)

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      "form": "homogeneous polynomials",
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          "name": "Polynomials",
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      "examples": [
        {
          "text": "x³+x²ʸ+xy²+y³"
        }
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        "(mathematics) a polynomial such that the sum of the exponents of the variables is the same for every term."
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        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "qícì duōxiàngshì",
          "sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
          "word": "齐次多项式"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
          "word": "homogeeninen polynomi"
        },
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          "code": "de",
          "lang": "German",
          "sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
          "tags": [
            "neuter"
          ],
          "word": "homogenes Polynom"
        },
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          "code": "is",
          "lang": "Icelandic",
          "sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
          "tags": [
            "feminine"
          ],
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        },
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          "code": "is",
          "lang": "Icelandic",
          "sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
          "tags": [
            "feminine"
          ],
          "word": "jafnþætt margliða"
        },
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          "sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
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          "word": "wielomian jednorodny"
        },
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          "code": "tl",
          "lang": "Tagalog",
          "sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
          "word": "tulad-uriing damikay"
        }
      ]
    }
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          "text": "x³+x²ʸ+xy²+y³"
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      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "qícì duōxiàngshì",
      "sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
      "word": "齐次多项式"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
      "word": "homogeeninen polynomi"
    },
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      "code": "de",
      "lang": "German",
      "sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
      "tags": [
        "neuter"
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      "word": "homogenes Polynom"
    },
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      "lang": "Icelandic",
      "sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
      "tags": [
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      ],
      "word": "einsleit margliða"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
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        "feminine"
      ],
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    },
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      "sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
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        "neuter"
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    },
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      "code": "pl",
      "lang": "Polish",
      "sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
      "tags": [
        "masculine"
      ],
      "word": "wielomian jednorodny"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "mathematics: polynomial such that the sum of the exponents of the variables is the same for every term",
      "word": "tulad-uriing damikay"
    }
  ],
  "word": "homogeneous polynomial"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-29 from the enwiktionary dump dated 2024-06-20 using wiktextract (d4b8e84 and b863ecc). 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.