# asymptote

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Related to asymptotical: 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).]

## asymptote

(ˈæsɪmˌtəʊt)
n
(Mathematics) a straight line that is closely approached by a plane curve so that the perpendicular distance between them decreases to zero as the distance from the origin increases to infinity
[C17: from Greek asumptōtos not falling together, from a-1 + syn- + ptōtos inclined to fall, from piptein to fall]

## as•ymp•tote

(ˈæs ɪmˌtoʊt)

n.
Math. a straight line approached by a given curve as one of the variables in the equation of the curve approaches infinity.
[1650–60; < Greek asýmptōtos literally, not meeting =a- a-6 + sýmptōtos, v. adj. of sympíptein to converge; see symptom]
asymptote
left: The x- and y-axes are both asymptotes of the curve (a hyperbola).
right: The x-axis is the asymptote of the wave.

## as·ymp·tote

(ăs′ĭm-tōt′)
A line whose distance to a given curve tends to zero. An asymptote may or may not intersect its associated curve.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 asymptote - a straight line that is the limiting value of a curve; can be considered as tangent at infinity; "the asymptote of the curve"straight line - a line traced by a point traveling in a constant direction; a line of zero curvature; "the shortest distance between two points is a straight line"
Translations
asymptota
asymptootti
asymptoot
asymptote
asymptot
References in periodicals archive ?
However, others have been also studied lately, each one with the respective mathematical description (Ishizaka & Labib 2011), among which are: Power, Root Square, Geometric, Inverse linear, Asymptotical, Balanced and Logarithmic.
By investigating the properties of this Markov chain, the asymptotical average throughput is derived.
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To prove uniformly asymptotical stability of [chi], the Lyapunov function is defined as
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We find that, under the same communication conditions as those in asymptotical consensus, our control protocols work well; that is, the terminal time dependent time-varying control protocol can solve a consensus problem at any present time if the undirected communication tropology is connected.
Firstly, a sufficient condition for asymptotical stability and H [?
The stability model for the proposed work, which indicates the global asymptotical stability, is as follows:
As far as the processes usually are nonlinear, there are few analytical solutions and the asymptotical and numerical methods should be elaborated.
If the basic reproductive number greater than one, local asymptotical the endemic equilibrium is stable.
Asymptotical representations and applications to quantum integrable systems,2.

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