# asymptotic

asymptotic
Pertaining to a limiting value, for example of a dependent variable, when the independent variable approaches zero or infinity.

Medical dictionary. 2011.

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• asymptotic — 1670s, see ASYMPTOTE (Cf. asymptote) + IC (Cf. ic). Related: Asymptotical; asymptotically …   Etymology dictionary

• 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 — A line is asymptotic to a curve if the distance between the line and the curve tends to zero as the distance along the curve tends to infinity …   Philosophy dictionary

• 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 — 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 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 stability — exists at a pre scribed trim if, for any small temporary change in disturbance or control input, the vehicle will approach the motion defined by the trim …   Mechanics glossary

• 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 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 curve — In the differential geometry of surfaces, an asymptotic curve is a curve always tangent to an asymptotic direction of the surface (where they exist). It is sometimes called an asymptotic line, although it need not be a line. An asymptotic… …   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