bounded

adjective4

1. •
   That can be enclosed within a ball of finite radius.

   • A compact set must be bounded.
2. •
   with bounded range
3. •
   with bounded range when restricted to the unit ball
4. •
   That contains a least element, a, and a greatest element, b, such that for all x ∈ X, a ≤ x ≤ b.