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The x-axis and y-axis are asymptotes of the hyperbola xy = 3.


 (ăs′ĭm-tōt′, -ĭmp-)
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).]

as′ymp·tot′ic (-tŏt′ĭk), as′ymp·tot′i·cal adj.
as′ymp·tot′i·cal·ly adv.
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Adv.1.asymptotically - toward an asymptote; "it grew asymptotically"
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References in periodicals archive ?
The latter enters the game in the context of higher dimensional gravity and the gauge/gravity duality which offers a unique tool to explore hard-to-tackle phenomena in field theories by investigating gravity in asymptotically anti-de Sitter (AdS) spacetimes.
This increased level of total sleep time (reaching 13 hours or more in some cases) asymptotically returned to a basal equilibrium level, which was eight hours 15 [+ or -]50 minutes for the group.
In the feature vectors, predictive neighborhoods, "random forest" classifiers, and other components of data analysis, we draw asymptotically close to the mystery of the art object itself, to what the real thing has of realness--a theoretical subject of practical interest to curators and museum conservators, who are often the source of the data for training the systems.
Theorem 2 can be derived from the above analysis: if suppose assumption 1) and 2) set up, then nonlinear neural network (6) exists the only balance point which is globally asymptotically stable.
The critical strain rate asymptotically approaches zero around solidus, meaning inevitable hot tearing, which is not physically real.
The simplest performance specification is that of stability: in the absence of any disturbances, we would like the equilibrium point of the system to be asymptotically stable.
a] (corresponding to the control u = a) has an asymptotically stable node at ([p.
Topics include dark matter spiral galaxies and axioms of general relativity, embedded 3D CR manifolds and non-negativity of Paneitz operators, Aubry sets, Hamilton-Jacobi equations and Mane conjectures, minimum surfaces as eigenvalue problems, the maximal measure of sections of the n-cube, extremities of stability for pendant drops, the Radon-Helgason inversion method in integral geometry, inequalities for the ADM-mass, and capacity of asymptotically flat manifolds with minimal boundary and bounded extrinsic curvature of subsets of metric spaces.
Panyanak: Noor iterations for asymptotically nonexpansive mappings in CAT(0) spaces, Int.
Asymptotically, even when [rho] [not equal to] 0, these black hole solutions predict flat spiral galaxy rotation curves, for the inflow in (7) gives g(r) = -5[alpha][[beta].
It is seen that the process is transient and comes into equilibrium (there will not be any more cold air left in the walk-in) asymptotically.