asymptote

[as-im-toht] Origin

as·ymp·tote

[as-im-toht]
noun Mathematics.
a straight line approached by a given curve as one of the variables in the equation of the curve approaches infinity.

Origin:
1650–60; < Greek asýmptōtos, equivalent to a- a-6 + sýmptōtos falling together (sym- sym- + ptōtós falling, derivative of ptō-, variant stem of píptein to fall + -tos verbid suffix)
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Based on the Random House Dictionary, © Random House, Inc. 2012.
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Asymptote is always a great word to know.
So is discrete. Does it mean:
problem solving defined only for an isolated set of points, using only arithmetic and algebra; not involving calculus
the assumed limit of a sequence or series that increases without bound; infinite distance
Collins
World English Dictionary
asymptote (ˈæsɪmˌtəʊt)
 
n
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]

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Etymonline
Word Origin & History

asymptote
"straight line continually approaching but never meeting a curve," 1650s, from Gk. asymptotos "not falling together," from a- "not" + syn "with" + ptotos "fallen," verbal adj. from piptein "to fall" (see petition). Related: Asymptotic (1670s).
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Science Dictionary
asymptote   (ās'ĭm-tōt')  Pronunciation Key 


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A line whose distance to a given curve tends to zero. An asymptote may or may not intersect its associated curve.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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