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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.


(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]


(ˈæs ɪmˌtoʊt)

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
left: The x- and y-axes are both asymptotes of the curve (a hyperbola).
right: The x-axis is the asymptote of the wave.


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"
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English translations of her work have appeared in Words Without Borders and Asymptote's Translation Tuesday column.
They reach a level called "asymptote," when they're not getting noticeably better, by around age 30, the study found.
"But he was determined to rescue his friend and hurriedly began arranging a third mission, codenamed ASYMPTOTE, a geometry term describing a curve that approaches a line, but never meets it."
Claudia Serea is a Romanian-born poet with work published in Field, New Letters, Gravel, Prairie Schooner, The Mahalat Review, Asymptote, RHINO, and elsewhere.
One might consider this process as approaching an asymptote. The process--and well-centered should be considered as a process--is ongoing.
To detect important differences in PV on the asymptote approaching 0 PVU, we view the log(PV).
However, many of the graphs looked like Figure 2A, i.e., the upper asymptote of the fitted curve did not run at 100%, but slightly above or below.
Rakha was known for his first novel "Kitab at-Tugra: Gharaib at-Tarikh fi Madinat al-Marrikh" which was released after the Egyptian revolution in 2011 and has been translated to English by Asymptote magazine.
And we know that the shock wave curve interacts with [rho]-axis, and the rarefaction wave curve has the u-axis as its asymptote.
The solution of (8) is also sigmoidal in shape and tends to an asymptote as time increases, where the birth and death term balance each other out.

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