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Dictionary

Words, grammatical forms and meanings linked to the ontology.

bounded en · ADJ

Pronunciation

Meanings

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

Forms

SpellingFeaturesLabelsSource
most bounded Degree=Sup lexicographic
more bounded Degree=Cmp lexicographic

Deriveds

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

Translations (11)

ca fitat (type of set) · pl ograniczony (type of set) · sk ohraničený (type of set) · fi rajoitettu (type of set) · fr borné (type of set) · eo barita (type of set) · es acotado (that contains a least and a greatest elements) · fa کراندار (type of set) · nl begrensd (type of set) · eo barita (that contains a least and a greatest elements) · hi परिमित (type of set)

bounded en · VERB

Pronunciation

Meanings

  1. (form-of, participle, past) simple past and past participle of bound
    form of bound