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asymptotic

From Wiktionary, the free dictionary

English

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Etymology

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From asymptote +‎ -ic.

Pronunciation

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  • (UK) IPA(key): /ˌæsɪm(p)ˈtɒtɪk/
  • (US) IPA(key): /ˌæsəm(p)ˈtɑtɪk/, /ˌæsəm(p)ˈtɔtɪk/
  • Audio (US):(file)
  • Rhymes: -ɒtɪk

Adjective

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asymptotic (not comparable)

  1. (mathematics) Pertaining to values or properties approached at infinity.
    • 2011, Soon-Mo Jung, Hyers–Ulam–Rassias Stability of Functional Equations in Nonlinear Analysis, Springer, →ISBN, page 130:
      F. Skof investigated an interesting asymptotic property of the additive functions (see Theorem 2.34). In fact, she proved that a function f : E1 → E2 is additive if and only if ‖f(x + y) − f(x) − f(y)‖ → 0 as ‖x‖ + ‖y‖ → ∞, where E1 is a normed space and E2 is a Banach space.
    • 2011, Vera Koponen, "Some connections between finite, infinite model theory", Finite and Algorithmic Model Theory, Cambridge University Press, →ISBN, page 110:
      More recently, a direction of research initiated by Macpherson and Steinhorn [28] and continued by Elwes [13, 14] and Ryten studies classes of finite structures in which definable sets have a uniform asymptotic behaviour, as the cardinalities of the universes increase.
  2. (mathematical analysis) Coming into consideration as a variable tends to a limit, usually infinity.
    • 2016 March 11, Jennifer Coates, “I Am A Transwoman. I Am In The Closet. I Am Not Coming Out.”, in Medium‎[1]:
      Because for some transwomen, femininity can feel asymptotic — the closer you get, the more you feel you can never make it.
    The asymptotic behavior of a function

Synonyms

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Derived terms

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Translations

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