# asymptotic

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Related to asymptotic: Asymptotic curve

## as·ymp·tote

(ăs′ĭm-tōt′, -ĭmp-)
n.
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).]

(ˌæsɪmˈtɒtɪk) or

## asymptotical

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
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.
[1665–75]
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.
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References in periodicals archive ?
Key Word: Optimal Homotopy Asymptotic Method, Korteweg- de Vries equation, Sawada Kotera equation
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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.

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