monomial factor

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• Monomial — In mathematics, in the context of polynomials, the word monomial can have one of two different meanings: The first is a product of powers of variables, or formally any value obtained by finitely many multiplications of a variable. If only a… …   Wikipedia

• Monomial group — In mathematics, in the area of algebra studying the character theory of finite groups, an M group or monomial group is a finite group whose complex irreducible characters are all monomial, that is, induced from characters of degree 1 (Isaacs… …   Wikipedia

• distributive law — One of the laws relating to number operations. In symbols, it is stated: a(b + c) = ab + ac. The monomial factor a is distributed, or separately applied, to each term of the polynomial factor b + c, resulting in the product ab + ac. It can also… …   Universalium

• 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

• Newton's identities — In mathematics, Newton s identities, also known as the Newton–Girard formulae, give relations between two types of symmetric polynomials, namely between power sums and elementary symmetric polynomials. Evaluated at the roots of a monic polynomial …   Wikipedia

• Gröbner basis — In computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular kind of generating subset of an ideal I in a polynomial ring R. One can view it as a multivariate, non linear… …   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

• Rationalisation (mathematics) — In elementary algebra root rationalisation is a process by surds in the denominator of a fraction are eliminated. These surds may be monomials or binomials involving square roots, in simple examples. There are wide extensions to the technique.… …   Wikipedia

• Conformal pictures — Here are examples of conformal maps understood as deforming pictures. This technique is a generalization of domain coloring where the domain space is not colored by a fixed infinite color wheel but by a finite picture tiling the plane. A… …   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

• Binomial coefficient — The binomial coefficients can be arranged to form Pascal s triangle. In mathematics, binomial coefficients are a family of positive integers that occur as coefficients in the binomial theorem. They are indexed by two nonnegative integers; the… …   Wikipedia