# asymptotic theory

- 渐近理论

*Atmospheric Sciences (English-Chinese) dictionary.
2014.*

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**Asymptotic theory**— is the branch of mathematics which studies properties of asymptotic expansions.The most known result of this field is the prime number theorem:Let pi;( x ) be the number of prime numbers that are smaller than or equal to x .The limit:lim {x… … Wikipedia**Asymptotic analysis**— This article is about the comparison of functions as inputs approach infinite. For asymptotes in geometry, see asymptotic curve. In mathematical analysis, asymptotic analysis is a method of describing limiting behavior. The methodology has… … Wikipedia**Asymptotic freedom**— In physics, asymptotic freedom is the property of some gauge theories in which the interaction between the particles, such as quarks, becomes arbitrarily weak at ever shorter distances, i.e. length scales that asymptotically converge to zero (or … Wikipedia**Asymptotic gain model**— The asymptotic gain model [Middlebrook, RD: Design oriented analysis of feedback amplifiers ; Proc. of National Electronics Conference, Vol. XX, Oct. 1964, pp. 1 4] G {infin} T} . while in classical feedback theory, in terms of the open loop gain … Wikipedia**Asymptotic computational complexity**— In computational complexity theory, asymptotic computational complexity is the usage of the asymptotic analysis for the estimation of computational complexity of algorithms and computational problems, commonly associated with the usage of the big … Wikipedia**Asymptotic equipartition property**— In information theory the asymptotic equipartition property (AEP) is a general property of the output samples of a stochastic source. It is fundamental to the concept of typical set used in theories of compression.Roughly speaking, the theorem… … Wikipedia**Theory of computation**— In theoretical computer science, the theory of computation is the branch that deals with whether and how efficiently problems can be solved on a model of computation, using an algorithm. The field is divided into three major branches: automata… … Wikipedia**Asymptotic stability**— See also Lyapunov stability for an alternate definition used in dynamical systems. In control theory, a continuous linear time invariant system is asymptotically stable if and only if the system has eigenvalues only with strictly negative real… … Wikipedia**Contiguity (probability theory)**— In probability theory, two sequences of probability measures are said to be contiguous if asymptotically they share the same support. Thus the notion of contiguity extends the concept of absolute continuity to the sequences of measures. The… … Wikipedia**Geometric group theory**— is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act (that is, when the… … Wikipedia**Additive number theory**— In mathematics, additive number theory is a branch of number theory that studies ways to express an integer as the sum of integers in a set. Two classical problem in this area of number theory are the Goldbach conjecture and Waring s problem.… … Wikipedia