formal power series

formal power series
формальный степенной ряд

fatty series — жидкий ряд

Fourier series — ряд Фурье

chief series — главный ряд

series of prices — ряд цен

term of series — член ряда


The English-Russian dictionary general scientific. 2015.

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  • 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 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

  • Formal group — In mathematics, a formal group law is (roughly speaking) a formal power series behaving as if it were the product of a Lie group. They were first defined in 1946 by S. Bochner. The term formal group sometimes means the same as formal group law,… …   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

  • Formal calculation — In mathematical logic, a formal calculation is sometimes defined as a calculation which is systematic, but without a rigorous justification . This means that we are manipulating the symbols in an expression using a generic substitution, without… …   Wikipedia

  • Formal — The term formal has a number of uses, including:General*relating to formality *opposite of informalocial* Formal occasion ** Formal attire worn on such occasions ** Formals are particular meals at some British universities ** In Australian or… …   Wikipedia

  • Formal derivative — In mathematics, the formal derivative is an operation on elements of a polynomial ring which mimics the form of the derivative from calculus. Though they appear similar, the algebraic advantage of a formal derivative is that it does not rely on… …   Wikipedia

  • Formal moduli — In mathematics, formal moduli are an aspect of the theory of moduli spaces (of algebraic varieties or vector bundles, for example), closely linked to deformation theory and formal geometry. Roughly speaking, deformation theory can provide the… …   Wikipedia

  • Convolution power — In mathematics, the convolution power is the n fold iteration of the convolution with itself. Thus if x is a function on Euclidean space Rd and n is a natural number, then the convolution power is defined by where * denotes the convolution… …   Wikipedia

  • Hypergeometric series — In mathematics, a hypergeometric series is a power series in which the ratios of successive coefficients k is a rational function of k . The series, if convergent, will define a hypergeometric function which may then be defined over a wider… …   Wikipedia

  • Bell series — In mathematics, the Bell series is a formal power series used to study properties of arithmetical functions. Bell series were introduced and developed by Eric Temple Bell.Given an arithmetic function f and a prime p, define the formal power… …   Wikipedia


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