nonzero polynomial

См. также в других словарях:

• 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 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 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

• Polynomial matrix — Not to be confused with matrix polynomial. A polynomial matrix or sometimes matrix polynomial is a matrix whose elements are univariate or multivariate polynomials. A λ matrix is a matrix whose elements are polynomials in λ. A univariate… …   Wikipedia

• Polynomial basis — In mathematics, the polynomial basis is a basis for finite extensions of finite fields.Let α ∈ GF( p m ) be the root of a primitive polynomial of degree m over GF( p ). The polynomial basis of GF( p m ) is then:{ 0, 1, alpha, ldots, alpha^{m… …   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

• Complete homogeneous symmetric polynomial — In mathematics, specifically in algebraic combinatorics and commutative algebra, the complete homogeneous symmetric polynomials are a specific kind of symmetric polynomials. Every symmetric polynomial can be expressed as a polynomial expression… …   Wikipedia

• Alexander polynomial — In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type. James Waddell Alexander II discovered this, the first knot polynomial, in 1923. In 1969, John Conway showed a… …   Wikipedia

• Chromatic polynomial — All nonisomorphic graphs on 3 vertices and their chromatic polynomials, clockwise from the top. The independent 3 set: k3. An edge and a single vertex: k2(k − 1). The 3 path: k(k − 1)2. The 3 clique …   Wikipedia

• Degree of a polynomial — The degree of a polynomial represents the highest degree of a polynominal s terms (with non zero coefficient), should the polynomial be expressed in canonical form (i.e. as a sum or difference of terms). The degree of an individual term is the… …   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