# boundedness

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boundedness
noun Date: 1674 the quality or state of being bounded

New Collegiate Dictionary. 2001.

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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 — oundedness n. (Math.) the quality of being finite. Syn: finiteness, finitude. [WordNet 1.5] …   The Collaborative International Dictionary of English

• 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

• Uniform boundedness principle — In mathematics, the uniform boundedness principle or Banach–Steinhaus theorem is one of the fundamental results in functional analysis. Together with the Hahn–Banach theorem and the open mapping theorem, it is considered one of the cornerstones… …   Wikipedia

• 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