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asymptotic

[as-im-tot-ik] /ˌæs ɪmˈtɒt ɪk/
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, asymptotical.
Origin
1665-1675
1665-75; asymptote + -ic
Related forms
asymptotically, adverb
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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Examples for asymptotic
  • While the curve may be asymptotic, you would always get a little closer to your limit.
  • Improvement will happen but it will approach an asymptotic limit.
  • Of course, this is an asymptotic result, since no stationary observer can be located at the horizon.
  • Over longer ranges, asymptotic limits and dimensionality become important.
  • Remember that velocity is relative, and relativistic velocity is not linear but is asymptotic.
  • Then k-effective was found for the asymptotic-density model with the same height.
British Dictionary definitions for asymptotic

asymptotic

/ˌæsɪmˈtɒtɪk/
adjective
1.
of or referring to an asymptote
2.
(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
Derived Forms
asymptotically, adverb
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Word Origin and History for asymptotic
adj.

1670s, see asymptote + -ic. Related: Asymptotical; asymptotically.

Online Etymology Dictionary, © 2010 Douglas Harper
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