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 ?
with the asymptote [or the point of near-infinite increase] located in the year 2035 AD.
The results show nearly exponential growth for the first 40 or 50 years of our existence followed by a declining rate of growth trending toward an asymptote of about 10,000.
Although occasionally a result may lie beyond the asymptote for a particular data-set, the asymptotic tendency shows that 14C very commonly becomes quite unreliable at around 40,000 b.
where p is percentage of material in the bag which disappeared at time t; a, b and c are constants: a is the intercept of degradation curve at time zero, b is the asymptote of degradation curve and c is the rate constant for the degradation of b ([h.
It can aid high tech research--as in innovation the action of some personal influences will be progressive, while that of others will approach an asymptote (Cullis 2007, 65-103, 291).
Shepard dares to move his narrative down the asymptote of despair, and the moral heroism he describes on that path toward infinity, you will never forget.
Because the measured variable was cumulative proportion, the asymptote for each model was always close to one.
Remember studying the asymptote, the curve that never reaches the axis?
Recent works indicate that DL-Hydroxy Analogue of Methionine (HMTBa) and DL-Methionine (DL-Met) have a dose dependent equivalency with different asymptote values.
368 for Ecuador), but we found a higher asymptote at our study site (A = 19.
Conversely, the occurrence of asymptote to a concentration independent value was evident at higher shear stresses ([sigma] > 1).
Asymptote - 2014 European Cryopreservation Technology Innovation Leadership Award