bounded

English

Pronunciation

• IPA^(key): /ˈbaʊndɪd/

• Audio (US):

  (file)

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
• semi-bounded
• unbounded

 

Translations

type of set

• Catalan: fitat
• Dutch: begrensd (nl)
• Esperanto: limigita
• Finnish: rajoitettu (fi)
• (deprecated template usage) {{trans-mid}}
• French: borné (fr)
• Persian: کراندار
• Polish: ograniczony (pl) m
• Slovak: ohraničený

Anagrams

• debound