ENGLISH DICTIONARY

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

  1. (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.

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Sources & Attribution

FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0

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