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polynomial expansion

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  • Polynomial expansion — In mathematics, an expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition. Expansions of polynomials are obtained by multiplying together their factors, which results in a… …   Wikipedia

  • Expansion — may refer to: *In physics: ::*expansion of space, ::*thermal expansion, ::*expansion fan. *In computer hardware: an expansion card *In computer programming: JEE5 developing tool in line expansion *In engineering expansion is the increase in the… …   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

  • Wilkinson's polynomial — In numerical analysis, Wilkinson s polynomial is a specific polynomial which was used by James H. Wilkinson in 1963 to illustrate a difficulty when finding the root of a polynomial: the location of the roots can be very sensitive to perturbations …   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

  • 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

  • Palindromic polynomial — A polynomial is palindromic, if the sequence of its coefficients are a palindrome.Let P(x) = sum {i=0}^n a ix^i be a polynomial of degree n, then P is palindromic if a i = a {n i} for i=0...n.Similarly, P is called antipalindromic if a i = a {n… …   Wikipedia

  • Hurwitz polynomial — In mathematics, a Hurwitz polynomial, named after Adolf Hurwitz, is a polynomial whose coefficients are positive real numbers and whose zeros are located in the left half plane of the complex plane, that is, the real part of every zero is… …   Wikipedia

  • Q-difference polynomial — In combinatorial mathematics, the q difference polynomials or q harmonic polynomials are a polynomial sequence defined in terms of the q derivative. They are a type of Brenke polynomial, and generalize the Appell polynomials. See also Sheffer… …   Wikipedia

  • Partial fraction — In algebra, the partial fraction decomposition or partial fraction expansion is a procedure used to reduce the degree of either the numerator or the denominator of a rational function (also known as a rational algebraic fraction). In symbols, one …   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

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