Asymptotic

/ˌæsɪm(p)ˈtɒtɪk/ · adjective

Meaning

(mathematics) Pertaining to values or properties approached at infinity..

Definitions by Sense

1. (mathematics) Pertaining to values or properties approached at infinity.
2. (mathematical analysis) Coming into consideration as a variable tends to a limit, usually infinity.

Example Sentences

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.

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.

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.

Synonyms for asymptotic

Antonyms for asymptotic

Related Words

Usage Notes

Choose a synonym only when it preserves the intended meaning, tone, and grammar of the full sentence.

Practice and Learn More

Frequently Asked Questions