# asymptotically

## asymptotic

[as-im-tot-ik]
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:
1665–75; asymptote + -ic

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Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
 asymptotic or asymptotical (ˌæsɪmˈtɒtɪk) —adj 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 asymptotical or asymptotical —adj asymptotically or asymptotical —adv

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Example sentences
So, it seems to me that without altering the brain machinery, our social
progress will asymptotically approach a limit.
When transaction costs goes closer and closer to zero, trading volume would
asymptotically go closer and closer to infinity.
So the pressure increases asymptotically with depth up to a threshold.
Asymptotically, therefore, the conditional distribution of given satisfies.