# asymptote

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Related to Assymptote: Vertical asymptote
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]

## 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"
Translations
asymptota
asymptootti
asymptoot
asymptote
asymptot
References in periodicals archive ?
Moreover, in the case of Van Hamme and Wasserman's model, when more than one cue ate included in the simulations (as it happens when considering the context) the obtained predictions can easily go beyond the theoretical assymptote, which means that the model is mathematically less usefull (Perales & Shanks, 2003).

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