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forward-difference operator

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  • Difference operator — In mathematics, a difference operator maps a function, f ( x ), to another function, f ( x + a ) − f ( x + b ).The forward difference operator :Delta f(x)=f(x+1) f(x),occurs frequently in the calculus of finite differences, where it plays a role… …   Wikipedia

  • Difference polynomials — In mathematics, in the area of complex analysis, the general difference polynomials are a polynomial sequence, a certain subclass of the Sheffer polynomials, which include the Newton polynomials, Selberg s polynomials, and the Stirling… …   Wikipedia

  • Finite difference — A finite difference is a mathematical expression of the form f(x + b) − f(x + a). If a finite difference is divided by b − a, one gets a difference quotient. The approximation of derivatives by finite differences… …   Wikipedia

  • Delta operator — In mathematics, a delta operator is a shift equivariant linear operator on the vector space of polynomials in a variable over a field that reduces degrees by one. To say that is shift equivariant means that if …   Wikipedia

  • Operator messaging — is the term, similar to Text Messaging and Voice Messaging, applying to an answering service call center who focuses on one specific scripting style that has grown out of the alphanumeric pager history. Contents 1 Early history 2 Message Center… …   Wikipedia

  • Finite difference method — In mathematics, finite difference methods are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives. Intuitive derivation Finite difference methods approximate the …   Wikipedia

  • Contract for difference — In finance, a contract for difference (or CFD) is a contract between two parties, typically described as buyer and seller , stipulating that the buyer will pay to the seller the difference between the current value of an asset and its value at… …   Wikipedia

  • Time-scale calculus — In mathematics, time scale calculus is a unification of the theory of difference equations with that of differential equations, unifying integral and differential calculus with the calculus of finite differences, offering a formalism for studying …   Wikipedia

  • Bernoulli polynomials — In mathematics, the Bernoulli polynomials occur in the study of many special functions and in particular the Riemann zeta function and the Hurwitz zeta function. This is in large part because they are an Appell sequence, i.e. a Sheffer sequence… …   Wikipedia

  • Time scale calculus — In mathematics, time scale calculus is a unification of the theory of difference equations with that of differential equations [ [http://www.newscientist.com/article/mg17924045.000 taming natures numbers.html Taming nature s numbers] New… …   Wikipedia

  • Binomial transform — In combinatorial mathematics the binomial transform is a sequence transformation (ie, a transform of a sequence) that computes its forward differences. It is closely related to the Euler transform, which is the result of applying the binomial… …   Wikipedia

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