bounded

English

Pronunciation

  • IPA(key): /ˈbaʊndɪd/
  • Audio (US):(file)
  • Rhymes: -aʊndɪd

Verb

bounded

  1. simple past and past participle of bound

Adjective

bounded (comparative more bounded, superlative most bounded)

  1. (mathematical analysis, of a set) That can be enclosed within a ball of finite radius.
    A compact set must be bounded.
  2. (mathematical analysis, of a function) with bounded range
  3. (mathematical analysis, of a linear operator) with bounded range when restricted to the unit ball
  4. (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.

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