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asymptotic

[ as-im-tot-ik ]

adjective

, Mathematics.
  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.



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
“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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Derived Forms

  • ˌasympˈtotically, adverb
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Other Words From

  • as·ymp·tot·i·cal·ly adverb
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Word History and Origins

Origin of asymptotic1

First recorded in 1665–75; asymptot(e) + -ic
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Example Sentences

Born roughly twice as massive as the sun and lying about 1,300 light-years from Earth, V Hydrae is what’s known as an asymptotic giant branch star.

Regular testing of asymptotic people could play a crucial role with this disease because half of those who infect others have no symptoms.

That is, the surface of the stream tends to become asymptotic to a horizontal line D0D1.

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