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generalized 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

  • Generalized geography — In computational complexity theory, generalized geography is a problem that can be proven to be PSPACE Complete.IntroductionGeography is a childs game, which is good for a long car trip, where players take turns naming cities from anywhere in the …   Wikipedia

  • Generalized Riemann hypothesis — The Riemann hypothesis is one of the most important conjectures in mathematics. It is a statement about the zeros of the Riemann zeta function. Various geometrical and arithmetical objects can be described by so called global L functions, which… …   Wikipedia

  • Generalized Appell polynomials — In mathematics, a polynomial sequence {p n(z) } has a generalized Appell representation if the generating function for the polynomials takes on a certain form::K(z,w) = A(w)Psi(zg(w)) = sum {n=0}^infty p n(z) w^nwhere the generating function or… …   Wikipedia

  • Generalized function — In mathematics, generalized functions are objects generalizing the notion of functions. There is more than one recognised theory. Generalized functions are especially useful in making discontinuous functions more like smooth functions, and (going …   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

  • Generalized game — In computational complexity theory, a generalized game is a game that has been generalized so that it can be played on a board of any size. For example, generalized chess is the game of chess played on an n by n board, with 2 n pieces on each… …   Wikipedia

  • Generalized Gauss-Bonnet theorem — In mathematics, the generalized Gauss Bonnet theorem presents the Euler characteristic of a closed even dimensional Riemannian manifold as an integral of a certain polynomial derived from its curvature. It is a direct generalization of the Gauss… …   Wikipedia

  • Generalized Gauss–Bonnet theorem — In mathematics, the generalized Gauss–Bonnet theorem (also called Chern–Gauss–Bonnet theorem) presents the Euler characteristic of a closed even dimensional Riemannian manifold as an integral of a certain polynomial derived from its curvature. It …   Wikipedia

  • Newton polynomial — In the mathematical field of numerical analysis, a Newton polynomial, named after its inventor Isaac Newton, is the interpolation polynomial for a given set of data points in the Newton form. The Newton polynomial is sometimes called Newton s… …   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

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