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bounded set

   Also found in: Wikipedia 0.01 sec.
bounded set [¦bau̇n·dəd ′set]
(mathematics)
A collection of numbers whose absolute values are all smaller than some constant.
A set of points, the distance between any two of which is smaller than some constant.


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[infinity]] forms a bounded set on the real line and consequently has at least one finite accumulating point.
While the modest generalization of allowing [infinity] as a similarity value does not pose a serious restriction (databases are usually built from finite, and therefore bounded sets of data), it makes the set [0, [infinity], when ordered by the usual [greater than or equal to] relation, a complete lattice [L.
d] having a density [kappa] which is bounded away from zero and infinity on a bounded set A.
 
 
 
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