Boundedness, bounded, or unbounded may refer to:

Economics

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  • Bounded rationality, the idea that human rationality in decision-making is bounded by the available information, the cognitive limitations, and the time available to make the decision
  • Bounded emotionality, a concept within communication theory that stems from emotional labor and bounded rationality

Linguistics

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

Mathematics

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  • Boundedness axiom, the axiom schema of replacement

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  • Bounded deformation, a function whose distributional derivatives are not quite well-behaved-enough to qualify as functions of bounded variation, although the symmetric part of the derivative matrix does meet that condition
  • Bounded growth, occurs when the growth rate of a mathematical function is constantly increasing at a decreasing rate
  • 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
  • Unbounded operator, a linear operator defined on a subspace
  • 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

:*Bounded pointer, a pointer that is augmented with additional information that enable the storage bounds within which it may point to be deduced

Other uses

  • Unbounded, a 2023 book by Australian author Maria Thattil

See also

  • Boundless (disambiguation)
  • Unbound (disambiguation)