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. (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.

Derived terms

• bounded function
• bounded lattice
• boundedly
• boundedness
• bounded rationality
• equibounded
• nonbounded
• semibounded
• semi-bounded
• unbounded

Translations

type of set

Catalan: fitat Dutch: begrensd (nl) Esperanto: barita Finnish: rajoitettu (fi) French: borné (fr) Persian: کراندار Polish: ograniczony (pl) m Slovak: ohraničený

that contains a least and a greatest elements

Esperanto: barita Spanish: acotado (es)

Anagrams

• debound