boundedness oundedness n. (Math.) the quality of being finite.

Syn: finiteness, finitude. [WordNet 1.5]

The Collaborative International Dictionary of English. 2000.

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  • 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 …   Wikipedia

  • boundedness — noun Date: 1674 the quality or state of being bounded …   New Collegiate Dictionary

  • boundedness — noun The state or quality of being bounded …   Wiktionary

  • boundedness — bound·ed·ness …   English syllables

  • boundedness — noun the quality of being finite • Syn: ↑finiteness, ↑finitude • Ant: ↑infiniteness (for: ↑finiteness) • Derivationally related forms: ↑bounded, ↑ …   Useful english dictionary

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  • Local boundedness — In mathematics, a function is locally bounded, if it is bounded around every point. A family of functions is locally bounded, if for any point in their domain all the functions are bounded around that point and by the same number. Locally bounded …   Wikipedia

  • Uniform boundedness — In mathematics, bounded functions are functions for which there exists a lower bound and an upper bound, in other words, a constant which is larger than the absolute value of any value of this function. If we consider a family of bounded… …   Wikipedia

  • Multiplier (Fourier analysis) — In Fourier analysis, a multiplier operator is a type of linear operator, or transformation of functions. These operators act on a function by altering its Fourier transform. Specifically they multiply the Fourier transform of a function by a… …   Wikipedia

  • Extreme value theorem — This article is about continuous functions in analysis. For statistical theorems about the largest observation in a sequence of random variables, see extreme value theory. A continuous function ƒ(x) on the closed interval [a,b] showing the… …   Wikipedia

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