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).]

as′ymp·tot′ic (-tŏt′ĭk), as′ymp·tot′i·cal adj.
as′ymp·tot′i·cal·ly adv.

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]
click for a larger image
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:
Noun1.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 ?
from reaching the asymptotes of the access and traffic rate per access to the IP world.
direct sum]] depending on how the spacecraft's inbound and outbound asymptotes align relative to the axis of rotation.
Schaefer explained how to determine the domain of a rational function and then defined asymptotes as imaginary lines that graphs approach but may not cross.
The lower asymptote values of wavelengths were found to be larger for the higher heating rates, whereas the higher asymptotes values were found to be smaller for the lower heating rates.
infinity]](R) such that f (z) = 0 for every z [member of] Z and f does not have horizontal asymptotes.
The so-called method of moving asymptotes (MMA) was introduced, without any global convergence analysis, by Svanberg [28] in 1987.
11d) displays its inability to render non-zero lower asymptotes for the ORF of the correct answer.
Now with the uniform asymptotes [41,42] of the modified cylindrical functions, the asymptotes of the spectral Green's function components [[?
Forget about complex numbers, differentiating sine x, asymptotes and group theory.
As our first example, when the concept of vertical asymptotes and the method of how to find them is introduced, an instructor may say "If an x-value makes the denominator of a rational function zero, then the function has a vertical asymptote at that x-value.
The NLS approach weights all data points equally and, consequently, may not discriminate adequately between a profile with data along two clearly defined asymptotes and a less robust profile in which one asymptote is supported by a single point (Figure 2).
Version 4 of FX-Graph does add asymptotes while Autograph expects that students will add their own vertical asymptotes.