# asymptote

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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]
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## 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"
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
asymptota
asymptootti
asymptoot
asymptote
asymptot
References in periodicals archive ?
It is more difficult to prove the asymptotic limit in this situation, which will be studied in our future work.
Specifically, in the asymptotic limit, the IGE [mathematical expression not reproducible] increases linearly with respect to the statistical affine parameter t and is proportional to the number of degrees of freedom I according to Appendix B:
In Figure 6 we show the convergence to the asymptotic limit, which is rather rapid.
In this case, Kratky plots show that the high-Q asymptotic limit for the single-branch form factor is [Q.sup.2][P.sub.sb] (Q [right arrow] [infinity]) ~ [Q.sup.2-1/v] ~ 1/[Q.sup.0] for v = 0.5 as shown in Fig.
Now that the asymptotic limit for the NGD-bandwidth product as a function of the out-of-band gain has been demonstrated for a Lorentzian medium, the same functional relationship will be explored for artificially fabricated media, in particular for filter-based distributed circuits' media, and then for a linear causal medium with an optimally engineered dispersion characteristic.
Our interest is to analyse the asymptotic limit of the nonlinear Mindlin-Timoshenko system (1), when the shear modulus k tends to infinity.
One feature is a sigmoidal asymptotic limit in viscosity, which could either be an artifact of torque limitations in the rheometer or it could be a threshold of viscosity at high conversion, when further reaction is more sluggish.
This point at which the proportion of women levels off is referred to as the asymptotic limit.
There is an asymptotic limit to windmill size: As diameter increases, blade tip speed approaches Mach 1, and stress on the tower increases exponentially.

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