asymptotic

adj

Etymology: Etymology tree English asymptote Proto-Indo-European *-ikos Proto-Italic *-ikos Latin -icuslbor. Old French -iquebor. Middle English -ik English -ic English asymptotic From asymptote + -ic.

1. Pertaining to values or properties approached at infinity.

   “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.”

2. Coming into consideration as a variable tends to a limit, usually infinity.

   “Because for some transwomen, femininity can feel asymptotic — the closer you get, the more you feel you can never make it.”

   “The asymptotic behavior of a function”