Boundedness

From Wikipedia, the free encyclopedia

Boundedness or bounded may refer to:

  • Bounded set, a set that is finite in some sense
  • Bounded function, a function or sequence whose possible values form a bounded set
  • Bounded poset a partially ordered set that 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 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 variation, a real-valued functions whose total variation is bounded
  • Boundedness axiom, the axiom schema of replacement
  • Boundedness (linguistics), whether a situation has a clearly defined beginning or end.
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