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polynomial

From Wiktionary, the free dictionary
See also:polynômial

English

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EnglishWikipedia has an article on:
Wikipedia

Etymology

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Frompoly- +‎-nomial, fromνομός(nomós,portion, part), by analogy withbinomial.

Pronunciation

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Noun

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polynomial (pluralpolynomials)

  1. (algebra, strict sense) An expression consisting of a sum of a finite number ofterms, each term being the product of aconstantcoefficient and one or morevariables raised to anon-negativeinteger power, such asanxn+an1xn1+...+a0x0{\displaystyle a_{n}x^{n}+a_{n-1}x^{n-1}+...+a_{0}x^{0}}.
    • 1999, William Dunham,Euler: The Master of Us All, Mathematical Association of America, published1999, page116:
      Unfortunately, an analogous attack on the octicpolynomial becomes exceedingly complicated.
    • 2016, Grigoriy Blekherman, Daniel Plaumann, Rainer Sinn, Cynthia Vinzant, “Low-Rank Sum-of-Squares Representations on Varieties of Minimal Degree”, inarXiv[1]:
      Our upper bound is the best possible, and it implies the existence of low-rank factorizations of positive semidefinite bivariate matrixpolynomials and representations of biforms as sums of few squares.
  2. (taxonomy) Ataxonomicdesignation (such as of asubspecies)consisting of more than twoterms.

Hyponyms

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Holonyms

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Derived terms

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Translations

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algebraic expression
taxonomic designation

Adjective

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polynomial (notcomparable)

  1. (algebra)Able to bedescribed orlimited by apolynomial.
  2. (taxonomy) Of a polynomialname orentity.

Translations

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in algebra
in taxonomy

See also

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French

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Pronunciation

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Adjective

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polynomial (femininepolynomiale,masculine pluralpolynomiaux,feminine pluralpolynomiales)

  1. polynomial

Related terms

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