polynomial
Hello, you have come here looking for the meaning of the word polynomial. In DICTIOUS you will not only get to know all the dictionary meanings for the word polynomial, but we will also tell you about its etymology, its characteristics and you will know how to say polynomial in singular and plural. Everything you need to know about the word polynomial you have here. The definition of the word polynomial will help you to be more precise and correct when speaking or writing your texts. Knowing the definition ofpolynomial, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.
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.
Hyponyms
Holonyms
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
- 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
- nonuniform polynomial time
- Pidduck polynomial
- polynomial algebra
- polynomial basis
- polynomial complexity
- polynomial equation
- polynomial form
- polynomial function
- polynomial interpolation
- polynomial reduction
- polynomial ring
- polynomial sequence
- polynomial time
- polynomial-time reduction
- polynomial time-reduction
- primitive polynomial
- pseudo-polynomial time
- rook polynomial
- separable polynomial
- symmetric polynomial
- Taylor polynomial
- Taylor's polynomial
- Touchard polynomial
- Zhegalkin polynomial
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
|
in taxonomy
|
See also
French
Pronunciation
Audio: (file)
Adjective
polynomial (feminine polynomiale, masculine plural polynomiaux, feminine plural polynomiales)