# 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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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.

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