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asymptotic limit

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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

  • Limit (mathematics) — This is an overview of the idea of a limit in mathematics. For specific uses of a limit, see limit of a sequence and limit of a function. In mathematics, the concept of a limit is used to describe the value that a function or sequence approaches… …   Wikipedia

  • Asymptotic expansion — In mathematics an asymptotic expansion, asymptotic series or Poincaré expansion (after Henri Poincaré) is a formal series of functions which has the property that truncating the series after a finite number of terms provides an approximation to a …   Wikipedia

  • asymptotic — asymptotically, adv. /as im tot ik/, adj. Math. 1. of or pertaining to an asymptote. 2. (of a function) approaching a given value as an expression containing a variable tends to infinity. 3. (of two functions) so defined that their ratio… …   Universalium

  • Asymptotic distribution — In mathematics and statistics, an asymptotic distribution is a hypothetical distribution that is in a sense the limiting distribution of a sequence of distributions. A sequence of distributions corresponds to a sequence of random variables :Zi… …   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 — as•ymp•tot•ic [[t]ˌæs ɪmˈtɒt ɪk[/t]] also as ymp•tot′i•cal adj. 1) math. of or pertaining to an asymptote 2) math. (of a function) approaching a given value as an expression containing a variable tends to infinity 3) math. coming into… …   From formal English to slang

  • Central limit theorem — This figure demonstrates the central limit theorem. The sample means are generated using a random number generator, which draws numbers between 1 and 100 from a uniform probability distribution. It illustrates that increasing sample sizes result… …   Wikipedia

  • Central limit theorem for directional statistics — In probability theory, the central limit theorem states conditions under which the mean of a sufficiently large number of independent random variables, each with finite mean and variance, will be approximately normally distributed.[1] Directional …   Wikipedia

  • Ordinary least squares — This article is about the statistical properties of unweighted linear regression analysis. For more general regression analysis, see regression analysis. For linear regression on a single variable, see simple linear regression. For the… …   Wikipedia

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