asymptotically - Definitions from Dictionary.com

3 results for: asymptotically

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

]

—Related forms

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.
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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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