Boundedness

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Boundedness or bounded may refer to:

Linguistics[edit]

  • Boundedness, whether a situation has a clearly defined beginning or end

Mathematics[edit]

  • Boundedness axiom, the axiom schema of replacement
  • 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 poset, a partially ordered set that has both a greatest and a least element
  • Bounded set, a set that is finite in some sense
    • Bounded function, a function or sequence whose possible values form a bounded set
  • Bounded set (topological vector space), a set in which every neighborhood of the zero vector can be inflated to include the set
  • Bounded variation, a real-valued function whose total variation is bounded