# Dictionary Definition

bounded adj : having the limits or boundaries
established; "a delimited frontier through the disputed region"
[syn: delimited]

# User Contributed Dictionary

## English

### Pronunciation

### Verb

bounded- past of bound

# Extensive Definition

Boundedness or bounded may refer to:

- Bounded set, a set of finite size, including a bounded poset, a partially ordered set which has both a greatest element and a least element
- Bounded set (topological vector space), a set in which every neighborhood of the zero vector can be inflated to include the set
- Bounded function, a function whose possible values are a bounded set
- Bounded operator, a linear transformation L between normed vector spaces for which the ratio of the norm of L(v) to that of v is bounded by the same number, over all non-zero vectors v
- Bounded sequence, a sequence whose set of values is bounded
- Bounded variation, a real-valued functions whose total variation is bounded
- Boundedness axiom, the axiom schema of replacement

bounded in German: Beschränktheit

bounded in Spanish: Acotado

bounded in Japanese: 有界

bounded in Polish: Zbiór
ograniczony