bounded

Etymology

verb

1. simple past and past participle of bound

adj

1. (mathematical analysis, of a set) That can be enclosed within a ball of finite radius.
   A compact set must be bounded.
2. (set theory, order theory, of a poset X with partial order ≤) That contains a least element, a, and a greatest element, b, such that for all x ∈ X, a ≤ x ≤ b.