index of polynomial

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• 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

• Polynomial sequence — In mathematics, a polynomial sequence is a sequence of polynomials indexed by the nonnegative integers 0, 1, 2, 3, ..., in which each index is equal to the degree of the corresponding polynomial. Examples * Monomials * Rising factorials * Falling …   Wikipedia

• Polynomial — In der Mathematik ist ein Polynom (von griech. πολύ / polý und lat. nomen = „mehrnamig“) eine Summe von Vielfachen von Potenzen mit natürlichzahligen Exponenten einer Variablen, die in den meisten Fällen mit x bezeichnet wird. In der elementaren… …   Deutsch Wikipedia

• Gromov's theorem on groups of polynomial growth — In mathematics, Gromov s theorem on groups of polynomial growth, named for Mikhail Gromov, characterizes finitely generated groups of polynomial growth, as those groups which have nilpotentsubgroups of finite index. The growth rate of a group is… …   Wikipedia

• Elementary symmetric polynomial — In mathematics, specifically in commutative algebra, the elementary symmetric polynomials are one type of basic building block for symmetric polynomials, in the sense that any symmetric polynomial P can be expressed as a polynomial in elementary… …   Wikipedia

• Cycle index — In mathematics, and in particular in the field of combinatorics, cycle indices are used in combinatorial enumeration when symmetries are to be taken into account. This is particularly important in species theory. Each permutation π of a finite… …   Wikipedia

• Matching polynomial — In graph theory and combinatorics, both fields within mathematics, a matching polynomial (sometimes called an acyclic polynomial) is a generating function of the numbers of matchings of various sizes in a graph. Contents 1 Definition 2… …   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

• Properties of polynomial roots — In mathematics, a polynomial is a function of the form: p(x) = a 0 + a 1 x + cdots a n x^n, quad xin mathbb{C}where the coefficients a 0, ldots, a n are complex numbers. The fundamental theorem of algebrastates that polynomial p has n roots. The… …   Wikipedia

• Laurent polynomial — In mathematics, a Laurent polynomial in one variable over a ring R is a linear combination of positive and negative powers of the variable with coefficients in R . Laurent polynomials in X form a ring denoted R [ X , X −1] . They differ from… …   Wikipedia

• Neumann polynomial — In mathematics, a Neumanns polynomial, introduced by Carl Neumann for the special case α = 0, is a polynomial in 1/z used to expand functions in term of Bessel functions.[1] The first few polynomials are …   Wikipedia