ENGLISH DICTIONARY

Bounded

Definition, Meaning & Examples

Pronunciation /ˈbaʊndɪd/ · Part of speech verb

Quick meaning: Bounded is a verb meaning simple past and past participle of bound.

Meaning

simple past and past participle of bound.

More Meanings

  1. (mathematical analysis, of a set) That can be enclosed within a ball of finite radius.
  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.

Example Sentences

A compact set must be bounded.

Synonyms for bounded

Depending on context, synonyms include finite, delimited.

Related Words

Related dictionary entries include finite, delimited, illustrated, marked, linked, designated.

Related Dictionary Tools

Sources & Attribution

FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0

Dictionary data is provided by FreeDictionaryAPI.com and sourced from Wiktionary under its stated license.