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Dictionary.com Unabridged (v 1.1) - Cite This Source - Share This
as·ymp·tot·ic    Audio Help   [as-im-tot-ik] Pronunciation Key
–adjective Mathematics.
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.(of two functions) so defined that their ratio approaches unity as the independent variable approaches a limit or infinity.
4.(of a formula) becoming increasingly exact as a variable approaches a limit, usually infinity.
5.coming into consideration as a variable approaches a limit, usually infinity: asymptotic property; asymptotic behavior.
Also, as·ymp·tot·i·cal.


[Origin: 1665–75; asymptote + -ic]

as·ymp·tot·i·cal·ly, adverb
Dictionary.com Unabridged (v 1.1)
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2006.
Encyclopædia Britannica, Inc.
asymptotically

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American Heritage Dictionary - Cite This Source - Share This
as·ymp·tote    Audio Help   (ās'ĭm-tōt', -ĭmp-)  Pronunciation Key 


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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.
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The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2006 by Houghton Mifflin Company.
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WordNet - Cite This Source - Share This
asymptotically

adverb
toward an asymptote; "it grew asymptotically" 

WordNet® 3.0, © 2006 by Princeton University.
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