asymptotic
English
Adjective
asymptotic (not comparable)
- (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.
- 2011, Soon-Mo Jung, Hyers–Ulam–Rassias Stability of Functional Equations in Nonlinear Analysis, Springer →ISBN, page 130
Synonyms
Derived terms
- asymptotic analysis
- asymptotic curve
- asymptotic stability
Translations
pertaining to values or properties approached at infinity
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