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 — adjective relating to or of the nature of an asymptote (Freq. 1) an asymptotic function • Pertains to noun: ↑asymptote • Derivationally related forms: ↑asymptote … Useful english dictionary
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 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 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
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
asymptotic length — a parameter of the von Bertalanffy Growth Function, q.v., expressing the mean length the fish in a stock would attain if they were to grow for an infinitely long period. Not the largest observed size of a species … Dictionary of ichthyology
asymptotic weight — a parameter of the von Bertalanffy Growth Function, q.v., expressing the mean weight the fish in a stock would attain if they were to grow for an infinitely long period … Dictionary of ichthyology