power series

power series
noun Date: 1893 an infinite series whose terms are successive integral powers of a variable multiplied by constants

New Collegiate Dictionary. 2001.

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  • power series — n. an infinite series whose terms contain successive, positive, integral powers of a variable …   English World dictionary

  • Power series — In mathematics, a power series (in one variable) is an infinite series of the form:f(x) = sum {n=0}^infty a n left( x c ight)^n = a 0 + a 1 (x c)^1 + a 2 (x c)^2 + a 3 (x c)^3 + cdotswhere an represents the coefficient of the n th term, c is a… …   Wikipedia

  • power series — Math. an infinite series in which the terms are coefficients times successive powers of a given variable, or times products of powers of two or more variables. [1890 95] * * * ▪ mathematics       in mathematics, an infinite series that can be… …   Universalium

  • power series — laipsninė eilutė statusas T sritis fizika atitikmenys: angl. power series vok. Potenzreihe, f rus. степенной ряд, m pranc. série en puissances, f …   Fizikos terminų žodynas

  • Power series method — In mathematics, the power series method is used to seek a power series solution to certain differential equations. Method Consider the second order linear differential equation: a 2(z)f (z)+a 1(z)f (z)+a 0(z)f(z)=0;!Suppose a 2 is nonzero for all …   Wikipedia

  • power series — pow′er se ries n. math. math. an infinite series in which the terms are coefficients times successive powers of a given variable, or times products of powers of two or more variables • Etymology: 1890–95 …   From formal English to slang

  • power series — noun the sum of terms containing successively higher integral powers of a variable • Hypernyms: ↑series …   Useful english dictionary

  • Formal power series — In mathematics, formal power series are devices that make it possible to employ much of the analytical machinery of power series in settings that do not have natural notions of convergence. They are also useful, especially in combinatorics, for… …   Wikipedia

  • Power Architecture — is a broad term to describe similar instruction sets for RISC microprocessors developed and manufactured by such companies as IBM, Freescale, AMCC, Tundra and P.A. Semi. The governing body is Power.org, comprising over 40 companies and… …   Wikipedia

  • Series (mathematics) — A series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely.[1] In mathematics, given an infinite sequence of numbers { an } …   Wikipedia

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