asymptotic

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 — adjective see asymptote …   New Collegiate Dictionary

asymptotic — adjective Of, relating to, or being an asymptote; approaching ever nearer, but never crossing. Syn: asymptotical …   Wiktionary

asymptotic — Pertaining to a limiting value, for example of a dependent variable, when the independent variable approaches zero or infinity …   Medical dictionary

asymptotic — adj. pertaining to a straight line which approaches but never intercepts a curve (Mathematics) …   English contemporary dictionary

asymptotic — as·ymp·tot·ic …   English syllables

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