Also found in: Thesaurus, Medical, Financial, Encyclopedia, Wikipedia.
Related to asymptotic: Asymptotic curve
click for a larger image
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.


(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


(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.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Adj.1.asymptotic - relating to or of the nature of an asymptote; "an asymptotic function"
References in periodicals archive ?
Alice and Bob Meet Banach; The Interface of Asymptotic Geometric Analysis and Quantum Information Theory
The best model was determined by considering the root mean square error, R2 % and asymptotic correlation coefficient criteria.
To test the asymptotic safety conjecture we shall perform perturbative one-loop computations to determine how these theories are renormalized by quantum corrections and then study the resulting renormalization group flow.
In this note, we focus on the specification and computation of the correct "t-statistic" for equation (1) as derived from standard asymptotic theory.
epsilon],[delta]](*) by constructing asymptotic expansions of its probability densities, which are associated with the adjoint operator [L.
It is worth noting, on the one hand, that Jaeger omits the derivation of the asymptotic formula (1), being this given in dimensionless form.
In the present paper we first state a one-dimensional model of nonlocal and nonlinear elasticity and review recent progress on unidirectional asymptotic wave equations of the model.
An advance newly technique known as Optimal Homotopy Asymptotic Method (OHAM) is applied on one of the type of time dependent partial differential equation named as generalize Korteweg- de Vries (gKdV) equation.
The implication is that stock returns will have asymptotic left-tail dependence with the stock returns of systemically important financial institutions.
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
The global asymptotic stability of the null solution guarantees the nonexistence of limit cycles in the realized system.