# asymptotic

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Related to asymptotic: Asymptotic curve
asymptote
The x-axis and y-axis are asymptotes of the hyperbola xy = 3.

## 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

(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"
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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.
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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.

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