integral polynomial

integral polynomial
мат.
многочлен с целыми коэффициентами

English-Russian scientific dictionary. 2008.

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  • polynomial — [päl΄i nō′mē əl] n. [ POLY + (BI)NOMIAL] an expression or name consisting of more than two terms; specif., a) Algebra a linear combination of products of integral powers of a given set of variables, with constant coefficients (Ex.: x3 + 3x + 2 or …   English World dictionary

  • Polynomial ring — In mathematics, especially in the field of abstract algebra, a polynomial ring is a ring formed from the set of polynomials in one or more variables with coefficients in another ring. Polynomial rings have influenced much of mathematics, from the …   Wikipedia

  • Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… …   Wikipedia

  • Polynomial — In mathematics, a polynomial (from Greek poly, many and medieval Latin binomium, binomial [1] [2] [3], the word has been introduced, in Latin, by Franciscus Vieta[4]) is an expression of finite length constructed from variables (also known as… …   Wikipedia

  • Polynomial interpolation — In the mathematical subfield of numerical analysis, polynomial interpolation is the interpolation of a given data set by a polynomial. In other words, given some data points (such as obtained by sampling), the aim is to find a polynomial which… …   Wikipedia

  • Integral element — In commutative algebra, an element b of a commutative ring B is said to be integral over its subring A if there are such that That is to say, b is a root of a monic polynomial over A.[1] If B consists of elements that are integral over A, then B… …   Wikipedia

  • Integral transform — In mathematics, an integral transform is any transform T of the following form:: (Tf)(u) = int {t 1}^{t 2} K(t, u), f(t), dt.The input of this transform is a function f , and the output is another function Tf . An integral transform is a… …   Wikipedia

  • Polynomial factorization — In mathematics and computer algebra, polynomial factorization typically refers to factoring a polynomial into irreducible polynomials over a given field. Formulation of the questionOther factorizations, such as square free factorization exist,… …   Wikipedia

  • polynomial — /pol euh noh mee euhl/, adj. 1. consisting of or characterized by two or more names or terms. n. 2. Algebra. a. (in one variable) an expression consisting of the sum of two or more terms each of which is the product of a constant and a variable… …   Universalium

  • polynomial — I. noun Etymology: poly + nomial (as in binomial) Date: 1674 a mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a nonnegative integral power (as a + bx +… …   New Collegiate Dictionary

  • integral domain — noun A commutative ring with identity not equal to zero which has no zero divisors. Ring R is an integral domain if and only if the polynomial ring is an integral domain …   Wiktionary


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