- minimal polynomial
- мат. минимальный многочлен
Большой англо-русский и русско-английский словарь. 2001.
minimal polynomial
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Minimal polynomial — This disambiguation page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article. Minimal polynomial may refer to: Minimal polyno … Wikipedia
Minimal polynomial (linear algebra) — For the minimal polynomial of an algebraic element of a field, see Minimal polynomial (field theory). In linear algebra, the minimal polynomial μA of an n by n matrix A over a field F is the monic polynomial P over F of least degree such that… … Wikipedia
Minimal polynomial (field theory) — For the minimal polynomial of a matrix, see Minimal polynomial (linear algebra). In field theory, given a field extension E / F and an element α of E that is an algebraic element over F, the minimal polynomial of α is the monic polynomial p, with … 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 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 — Polynôme Courbe polynomiale cubique Un polynôme, en mathématiques, est la combinaison linéaire des produits de puissances d une ou de plusieurs indéterminées, habituellement notées X, Y, Z… Ces objets sont largement utilisés en pratique, ne… … Wikipédia en Français
Characteristic polynomial — This article is about the characteristic polynomial of a matrix. For the characteristic polynomial of a matroid, see Matroid. For that of a graded poset, see Graded poset. In linear algebra, one associates a polynomial to every square matrix: its … Wikipedia
Conway polynomial (finite fields) — In mathematics, the Conway polynomial Cp,n for the finite field Fpn is a particular irreducible polynomial of degree n over Fp that can be used to define a standard representation of Fpn as a splitting field of Fp. Conway polynomials were named… … Wikipedia
Primitive polynomial — In field theory, a branch of mathematics, a primitive polynomial is the minimal polynomial of a primitive element of the finite extension field GF( p m ). In other words, a polynomial F(X) with coefficients in GF( p ) = Z/ p Z is a primitive… … Wikipedia
Reciprocal polynomial — In mathematics, for a polynomial p with complex coefficients,:p(z) = a 0 + a 1z + a 2z^2 + ldots + a nz^n ,!we define the reciprocal polynomial, p*:p^*(z) = overline{a} n + overline{a} {n 1}z + ldots + overline{a} 0z^n = z^noverline{p(ar{z}^{… … Wikipedia
List of polynomial topics — This is a list of polynomial topics, by Wikipedia page. See also trigonometric polynomial, list of algebraic geometry topics.Basics*Polynomial *Coefficient *Monomial *Polynomial long division *Polynomial factorization *Rational function *Partial… … Wikipedia
