asymptotic expression


asymptotic expression
асимптотическое выражение

English-Russian dictionary of technical terms. 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 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 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 — 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 — 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

  • Prime number theorem — PNT redirects here. For other uses, see PNT (disambiguation). In number theory, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers. The prime number theorem gives a general description of how the primes are… …   Wikipedia

  • Fracture mechanics — Continuum mechanics …   Wikipedia

  • Partition (number theory) — Young diagrams associated to the partitions of the positive integers 1 through 8. They are so arranged that images under the reflection about the main diagonal of the square are conjugate partitions. In number theory and combinatorics, a… …   Wikipedia

  • Laplace principle (large deviations theory) — In mathematics, Laplace s principle is a basic theorem in large deviations theory, similar to Varadhan s lemma. It gives an asymptotic expression for the Lebesgue integral of exp(− theta; phi; ( x )) over a fixed set A as theta; becomes large.… …   Wikipedia

  • Large numbers — This article is about large numbers in the sense of numbers that are significantly larger than those ordinarily used in everyday life, for instance in simple counting or in monetary transactions. The term typically refers to large positive… …   Wikipedia