polynomial

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See also: polynômial

English

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Wikipedia

Etymology

From poly- +‎ -nomial, from νομός (nomós, portion, part), by analogy with binomial.

Pronunciation

Noun

polynomial (plural polynomials)

  1. (algebra, strict sense) An expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as .
    • 1999, William Dunham, Euler: The Master of Us All, Mathematical Association of America, published 1999, page 116:
      Unfortunately, an analogous attack on the octic polynomial becomes exceedingly complicated.
    • 2016, Grigoriy Blekherman, Daniel Plaumann, Rainer Sinn, Cynthia Vinzant, “Low-Rank Sum-of-Squares Representations on Varieties of Minimal Degree”, in arXiv:
      Our upper bound is the best possible, and it implies the existence of low-rank factorizations of positive semidefinite bivariate matrix polynomials and representations of biforms as sums of few squares.
  2. (taxonomy) A taxonomic designation (such as of a subspecies) consisting of more than two terms.

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Translations

Adjective

polynomial (not comparable)

  1. (algebra) Able to be described or limited by a polynomial.
  2. (taxonomy) Of a polynomial name or entity.

Translations

See also

French

Pronunciation

Adjective

polynomial (feminine polynomiale, masculine plural polynomiaux, feminine plural polynomiales)

  1. polynomial