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Related to asymptotic: Asymptotic curve
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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.


(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 ?
In the rest of this abstract we will state our asymptotic results and then explain in more detail how they are applied to solve the limit problems listed above.
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.
Objective: The PI proposes to study the asymptotic behavior of various invariants of discrete groups and their actions, of sparse graphs and of locally symmetric spaces.
Statistical Tests of Nonparametric Hypotheses: Asymptotic Theory
Thus I ended up taking plain and solid geometry and trigonometry in the one school year, in the latter half of which we dealt with asymptotic curves and the asymptotic formula.
The proposed controllers provide asymptotic attitude stabilization with complete rejection of unknown external disturbances.
We described three periods of growth: (1) days 1-13, when peak accretion for sodium, lipids, and energy occurred; (2) days 14-22, when nestlings became endothermic and accretion for proteins, calcium, and phosphorus peaked; and (3) days 23-30, when nestlings reached 90% of the asymptotic values of body components.
The approximations approach is founded on asymptotic analysis and perturbation theory, which deal with the study of applied mathematical systems in limiting cases.
The third type of curve is the asymptotic curve, which increases from a value 'a - b' and then steadily approaches a maximum value 'a' known as the asymptote.
Incorporates an asymptotic solver based on the Shooting Bouncing Ray method, an extension to physical optics, capable of tackling simulations with an electric size of many thousands of wavelengths such as radar cross-section analysis.