asymptotic

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English[edit]

Etymology[edit]

From asymptote +‎ -ic.

Pronunciation[edit]

Adjective[edit]

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 and 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.

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