The difference between Bounded and Enclosed

When used as adjectives, bounded means that can be enclosed within a ball of finite radius, whereas enclosed means contained.


check bellow for the other definitions of Bounded and Enclosed

  1. Bounded as a verb:

  1. Bounded as an adjective (analysis, of a set):

    That can be enclosed within a ball of finite radius.

    Examples:

    "A compact set must be bounded."

  2. Bounded as an adjective (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.

  1. Enclosed as an adjective:

    Contained; held within a container.

  2. Enclosed as an adjective (architecture):

    Fenced in or surrounded.

  3. Enclosed as an adjective (music, of a [[division]] within a [[pipe organ]] surrounded by a wooden box, one or more sides of which contain [[slat]]s that can be opened or closed in order to increase or decrease [[volume]]):

    Having closed slats.

  1. Enclosed as a verb: