Definitions

from The American Heritage® Dictionary of the English Language, 4th Edition

  • adj. Of, relating to, or consisting of more than two names or terms.
  • n. A taxonomic designation consisting of more than two terms.
  • n. Mathematics An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers. For example, x2 - 5x + 6 and 2p3q + y are polynomials. Also called multinomial.
  • n. Mathematics An expression of two or more terms.

from Wiktionary, Creative Commons Attribution/Share-Alike License

  • adj. Able to be described or limited by a polynomial.
  • adj. of a polynomial name or entity
  • n. 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 .
  • n. A taxonomic designation (such as of a subspecies) consisting of more than two terms.

from the GNU version of the Collaborative International Dictionary of English

  • adj. Containing many names or terms; multinominal.
  • adj. Consisting of two or more words; having names consisting of two or more words
  • n. An expression composed of two or more terms, connected by the signs plus or minus; as, a2 - 2ab + b2.

from The Century Dictionary and Cyclopedia

  • Containing many names or terms.
  • In Zoöl. and botany, Specifically, noting a method of nomenclature in which the technical names of species are not confined to two terms, the generic and the specific, as they are in the binomial system of nomenclature: as, a polynomial name; a polynomial system of nomenclature: contrasted with binomial and mononomial.
  • Also multinomial, plurinominal.
  • A technical name consisting of more than two terms; a-polyonym.
  • An algebraical expression consisting of two or more terms united by addition: as, Also multinomial.

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

  • n. a mathematical function that is the sum of a number of terms
  • adj. having the character of a polynomial

Etymologies

poly- + (bi)nomial.
(American Heritage® Dictionary of the English Language, Fourth Edition)
poly- + -nomial (Wiktionary)

Examples

  • In the above examples, each piecewise polynomial is defined on an interval with the same length and thus forms a uniform basis.

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  • The idea was to start a pendulum from several different heights in order to cover a range of velocities and then to use simultaneous algebraic equations to fit a two or three term polynomial to two or three lost-arc data-points, changing the exponents until the polynomial achieved good agreement with the other lost-arc data points.

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  • This isn't a trivial difference; a model that can solve a problem in polynomial time really is fundamentally more powerful than one that takes exponential time.

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  • And there are tons of computational complexity classes above the standard P and NP that represent problems that deterministic and non-deterministic Turing Machines can solve in polynomial time.

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  • In this equation, d is called the polynomial's degree.

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  • Also, all such calculations are done modulo another polynomial, which is called the irreducible polynomial for the field.

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  • We call a polynomial p (x) with integer coefficients irreducible if p (x) cannot be written as a product of two polynomials with integer coefficients neither of which is a constant.

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  • The degree of the polynomial is the degree of the term with highest degree.

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  • -- Key wireless functions such as polynomial generation and multiply - accumulate for de-spreading functions (up to 16 complex code MACs/cycle) -- High precision FFTs with adaptive range management

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  • (Since any polynomial which is zero in a neighborhood of a point must be identically zero.)

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