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polynomial
From Wiktionary, the free dictionary
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See also: polynômial
English
Etymology
From poly- + -nomial, from νομός (nomós, “portion, part”), by analogy with binomial.
Pronunciation
Noun
polynomial (plural polynomials)
- (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.
- (taxonomy) A taxonomic designation (such as of a subspecies) consisting of more than two terms.
- (linguistics, Sinology) A type of term consisting of multiple parts. This term needs a definition. Please help out and add a definition, then remove the text
{{rfdef}}.- 2023, Martina Jemelková, “On the Nature of Zero-Meaning Sinograms: Typology and Thematic Classification”, in Studia Orientalia Slovaca, volume 22, number 2:
- Alternatively, there are polynomials denoting stages of the day: tónglóng 曈昽 “<fml.> light at daybreak”; or meteorological phenomena, such as wùsōng 雾凇 “(soft) rime”, àidài 叆叇 “<fml.> (of clouds) dense”.
- 2025, Martina Jemelková, “Chinese Binomes: A Graphical or Phonological Construct?”, in Acta Linguistica Asiatica, volume 15, number 2, :
- The same corpus is used as in the analysis of the thematic scope of polynomials, except that in this case only 720 binomes will be considered.
Hyponyms
Holonyms
Translations
algebraic expression
|
Adjective
polynomial (not comparable)
- (algebra) Able to be described or limited by a polynomial.
- (taxonomy) Of a polynomial name or entity.
Translations
in algebra
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in taxonomy
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Derived terms
- Abel polynomial
- Alexander-Conway polynomial
- Alexander polynomial
- all-one polynomial
- Bell polynomial
- Bernoulli polynomial
- Bernstein basis polynomial
- Boas-Buck polynomial
- characteristic polynomial
- complementary nondeterministic polynomial
- Conway-Alexander polynomial
- Conway polynomial
- cyclotomic polynomial
- Dickson polynomial
- eigenpolynomial
- elementary symmetric polynomial
- Fibonacci polynomial
- Hermite polynomial
- homogenous polynomial
- hyperbolic polynomial
- Jacobi polynomial
- Jones polynomial
- Kazhdan-Lusztig polynomial
- Lagrange polynomial
- Laguerre polynomial
- Laurent polynomial
- Legendre polynomial
- Lucas polynomial
- Macdonald polynomial
- Maclaurin polynomial
- minimal polynomial
- Mittag-Leffler polynomial
- Narumi polynomial
- nonpolynomial
- nonuniform polynomial time
- Pidduck polynomial
- polynomial algebra
- polynomial basis
- polynomial complexity
- polynomial equation
- polynomial form
- polynomial function
- polynomial interpolation
- polynomialism
- polynomialist
- polynomiality
- polynomially
- polynomial reduction
- polynomial ring
- polynomial sequence
- polynomial time
- polynomial time-reduction
- polynomial-time reduction
- polynomiography
- posynomial
- primitive polynomial
- pseudopolynomial
- pseudo-polynomial time
- quasipolynomial
- rook polynomial
- separable polynomial
- subpolynomial
- superpolynomial
- symmetric polynomial
- Taylor polynomial
- Taylor's polynomial
- Touchard polynomial
- ultrapolynomial
- Zhegalkin polynomial
See also
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French
Pronunciation
Adjective
polynomial (feminine polynomiale, masculine plural polynomiaux, feminine plural polynomiales)
Related terms
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