polynomial Hear it!

polynomial Definition

poly·no·mial (päl′i nō′mē əl)

noun

an expression or name consisting of more than two terms; specif.,

  1. Algebra a linear combination of products of integral powers of a given set of variables, with constant coefficients (Ex.: x + 3x + 2 or x - 2xy + y)
  2. Biol. a species or subspecies name consisting of more than two terms

Etymology: poly- + (bi)nomial

adjective

consisting of or characterized by polynomials

polynomial Usage Examples

Converse of object

  • integrate: The enthalpy values were obtained by integrating the specific heat polynomial for each compound.
  • define: The defining polynomial is the minimal polynomial of the primitive element.

Adjective modifier

  • univariate: And i can be a univariate polynomial over F, then the result is a polynomial in the same variable.
  • orthogonal: Here, orthogonal polynomials play an important role in the analysis.
  • quadratic: Reminder: How to find the roots of quadratic polynomials ( pdf ).
  • irreducible: It can be an integer or an irreducible polynomial over the field S.
  • chromatic: I shall discuss recent developments in the ' transfer matrix ' method for calculating chromatic polynomials of families of graphs.
  • multivariate: Clearly writing a class hierarchy starting with multivariate polynomials in order to derive integers makes no sense!

Modifies a noun

  • interpolation: Alternatively, polynomial interpolation is shown to give equivalent results.
  • classifier: We examine the properties of the polynomial kernel in relation to a polynomial classifier.
  • invariant: Invariant Theory of Finite Groups This introductory lecture will be concerned with polynomial invariants of finite groups which come from a linear group action.
  • approximation: A note on local polynomial approximation on compact manifolds.
  • regression: In a second order polynomial regression, the quadratic component of the ordinate scale was significant and positive.
  • equation: A matrix will itself satisfy the characteristic polynomial equation obeyed by its own eigenvalues.

Noun used with modifier

  • four-term: Experimental results drawn from the literature for each pure compound were fitted with a four-term polynomial equation in reduced temperature.
  • piecewise: The transformation process adopted will be that of a rubber sheeting transformation involving the fitting of piecewise polynomial surfaces to the link data.
  • factoring: GAP Forum: Re: a problem with factoring polynomials Subject: Re: a problem with factoring polynomials.
  • generator: The generator polynomial governs all the characteristics of the generator.

Preposition: of

n: Prove that a polynomial of degree n has at most n roots in F.

Preposition: with

coefficient: This is a polynomial with coefficients of P in the reverse order.