Bounded set: Difference between revisions
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imported>Hendra I. Nurdin (Start on bounded set) |
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Revision as of 15:01, 28 September 2007
In mathematics, a bounded set is any subset of a normed space whose elements all have norms which are bounded from above by a fixed positive real constant. In other words, all its elements are uniformly bounded in magnitude.
Formal Definition
Let X be a normed space with the norm . Then a set is bounded if there exists a real number M>0 such that for all .