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asymptotic sequence

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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 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 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

  • Sequence transformation — In mathematics, a sequence transformation is an operator acting on a given space of sequences. Sequence transformations include linear mappings such as convolution with another sequence, and resummation of a sequence and, more generally, are… …   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

  • Main sequence — A Hertzsprung Russell diagram plots the actual brightness (or absolute magnitude) of a star against its color index (represented as B V). The main sequence is visible as a prominent diagonal band that runs from the upper left to the lower right.… …   Wikipedia

  • Hofstadter sequence — In mathematics, a Hofstadter sequence is a member of a family of related integer sequences defined by non linear recurrence relations. equences presented in Gödel, Escher, Bach: an Eternal Golden Braid The first Hofstadter sequences were… …   Wikipedia

  • Farey sequence — In mathematics, the Farey sequence of order n is the sequence of completely reduced fractions between 0 and 1 which, when in lowest terms, have denominators less than or equal to n , arranged in order of increasing size.Each Farey sequence starts …   Wikipedia

  • Ducci sequence — A Ducci sequence is a sequence of n tuples of integers. Given an n tuple of integers (a1,a2,...,an), the next n tuple in the sequence is formed by taking the absolute differences of neighbouring integers: Another way of describing this is as… …   Wikipedia

  • Kolakoski sequence — In mathematics, the Kolakoski sequence is an infinite list that begins with 1,2,2,1,1,2,1,2,2,1,2,2,1,1,2,1,1,2,2,1,2,1,1,2,1,2,2,1,1,... This is an example of a self generating sequence, as indicated here:(1) write 1; read it as the number of 1… …   Wikipedia

  • K-type main-sequence star — Hertzsprung–Russell Diagram Spectral Type Br …   Wikipedia

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