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The x-axis and y-axis are asymptotes of the hyperbola xy = 3.


 (ăs′ĭm-tōt′, -ĭmp-)
A line whose distance to a given curve tends to zero. An asymptote may or may not intersect its associated curve.

[Ultimately from Greek asumptōtos, not intersecting : a-, not; see a-1 + sumptōtos, intersecting (from sumpiptein, sumptō-, to converge : sun-, syn- + piptein, to fall; see pet- in Indo-European roots).]

as′ymp·tot′ic (-tŏt′ĭk), as′ymp·tot′i·cal adj.
as′ymp·tot′i·cal·ly adv.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.


(ˌæsɪmˈtɒtɪk) or


1. (Mathematics) of or referring to an asymptote
2. (Mathematics) (of a function, series, formula, etc) approaching a given value or condition, as a variable or an expression containing a variable approaches a limit, usually infinity
ˌasympˈtotically adv
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014


(ˌæs ɪmˈtɒt ɪk)

also as`ymp•tot′i•cal,

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. coming into consideration as a variable approaches a limit, usu. infinity: asymptotic property.
as`ymp•tot′i•cal•ly, adv.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Adj.1.asymptotic - relating to or of the nature of an asymptote; "an asymptotic function"
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
References in periodicals archive ?
Key Word: Optimal Homotopy Asymptotic Method, Korteweg- de Vries equation, Sawada Kotera equation
The implication is that stock returns will have asymptotic left-tail dependence with the stock returns of systemically important financial institutions.
The condition of validity of these asymptotic expansions requires that all other quantities describing the problem not compete with this large parameter.
It has assumed that the distributions of the cyclic auto-correlation estimations under the null hypothesis and the alternative hypothesis have the same asymptotic covariance and differ only in mean.
Statistical Tests of Nonparametric Hypotheses: Asymptotic Theory
In the differential geometry of surfaces, an asymptotic curve is formally defined as a curve on a regular surface such that the normal curvature is zero in the asymptotic direction.
In [3], asymptotic lower and upper system capacity of a fixed-gain PRS scheme was investigated with feedback delay.
In this paper, we propose a new method to determining the smoothing parameter using the asymptotic properties of the penalized splines.
Alice and Bob Meet Banach; The Interface of Asymptotic Geometric Analysis and Quantum Information Theory
The monograph [31] deals with the general properties of the mathematical modelling whereas the monograph [12] helps us to find asymptotic solutions of the strongly nonlinear systems of differential equations.
It is worth noting that, at the first order of the asymptotic approximation, the contribution of stationary points, if any, dominates the contribution of the end points.
The optimal homotopy asymptotic method (OHAM) is given in [8-16]; we formulate this method for fractional order partial differential equations in the following steps.