asymptotic
Jump to navigation
Jump to search
English[edit]
Etymology[edit]
Pronunciation[edit]
Adjective[edit]
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, 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.
- (mathematical analysis) Coming into consideration as a variable tends to a limit, usually infinity.
- The asymptotic behavior of a function
Synonyms[edit]
Derived terms[edit]
Translations[edit]
pertaining to values or properties approached at infinity
|