Asymptotic
Definition, Meaning & Examples
Pronunciation /ˌæsɪm(p)ˈtɒtɪk/ · Part of speech adjective
Quick meaning: Asymptotic is an adjective meaning (mathematics) Pertaining to values or properties approached at infinity.
Meaning
(mathematics) Pertaining to values or properties approached at infinity.
More Meanings
- (mathematical analysis) Coming into consideration as a variable tends to a limit, usually infinity.
Example Sentences
The asymptotic behavior of a function
Because for some transwomen, femininity can feel asymptotic — the closer you get, the more you feel you can never make it.
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.
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.
Related Words
Related dictionary entries include asymptomatic, tending, nearing, approximating, bordering, approaching.
Related Dictionary Tools
Sources & Attribution
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
Dictionary data is provided by FreeDictionaryAPI.com and sourced from Wiktionary under its stated license.