definitions
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asymptotic

or as·ymp·tot·i·cal

[as-im-tot-ik or as-im-tot-i-kuh l]
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1. of or relating 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.

Origin of .css-1fxfie5{font-size:22px;}@media (max-width:768px){.css-1fxfie5{font-size:18px;margin:0 10px 10px 0;word-break:break-all;word-wrap:break-word;-webkit-hyphens:auto;-moz-hyphens:auto;-ms-hyphens:auto;hyphens:auto;line-height:22px;}}asymptotic

First recorded in 1665–75; asymptote + -ic
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

Examples from the Web for asymptotically

Historical Examples

• The theory is not a thing complete from the first, but a thing which grows, as it were asymptotically, towards certainty.

Fragments of science, V. 1-2

John Tyndall

British Dictionary definitions for asymptotically

asymptotic

asymptotical

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
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

asymptotic

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

Online Etymology Dictionary, © 2010 Douglas Harper