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asymptotic set

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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 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

  • 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 giant branch — The asymptotic giant branch is the region of the Hertzsprung Russell diagram populated by evolving low to medium mass stars. This is a period of stellar evolution undertaken by all low to intermediate mass stars (0.6 10 solar masses) late in… …   Wikipedia

  • Causal set theory bibliography — Main article: Causal Sets This Causal Set Theory Bibliography is intended to aid causal set research. It gathers together academic papers, books, talks and PhD theses related to causal set theory and is intended to help readers find references… …   Wikipedia

  • Determining the number of clusters in a data set — Determining the number of clusters in a data set, a quantity often labeled k as in the k means algorithm, is a frequent problem in data clustering, and is a distinct issue from the process of actually solving the clustering problem. For a certain …   Wikipedia

  • Typical set — In information theory, the typical set is a set of sequences whose probability is close to two raised to the negative power of the entropy of their source distribution. That this set has total probability close to one is a consequence of the… …   Wikipedia

  • Ideal (set theory) — In the mathematical field of set theory, an ideal is a collection of sets that are considered to be small or negligible . Every subset of an element of the ideal must also be in the ideal (this codifies the idea that an ideal is a notion of… …   Wikipedia

  • Continuity set — In measure theory, a continuity set of a measure μ is any Borel set B such that The class of all continuity sets for given measure μ forms a ring.[1] Similarly, for a random variable X a set B is called continuity set if otherwise B is called the …   Wikipedia

  • Natural density — In number theory, asymptotic density (or natural density or arithmetic density) is one of the possibilities to measure how large a subset of the set of natural numbers is. Intuitively, we think that there are more positive integers than perfect… …   Wikipedia

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