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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.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

asymptotic

(ˌæsɪmˈtɒtɪk) or

asymptotical

adj

1. (Mathematics) of or referring to an asymptote

2. (Mathematics) (of a function, series, formula, etc) approaching a given value or condition, as a variable or an expression containing a variable approaches a limit, usually infinity

ˌasympˈtotically adv

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

as•ymp•tot•ic

(ˌæs ɪmˈtɒt ɪk)

also as`ymp•tot′i•cal,

adj.

1. of or pertaining to an asymptote.

2. (of a function) approaching a given value as an expression containing a variable tends to infinity.

3. coming into consideration as a variable approaches a limit, usu. infinity: asymptotic property.

[1665–75]

as`ymp•tot′i•cal•ly, adv.

Random House Kernerman Webster’s College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

ThesaurusAntonymsRelated WordsSynonymsLegend:

Adj. 1. asymptotic – relating to or of the nature of an asymptote; “an asymptotic function”

Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.

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