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closed set
(redirected from Closed sets)

   Also found in: Encyclopedia, Wikipedia 0.01 sec.
closed set
n Maths
1. (Mathematics) a set that includes all the values obtained by application of a given operation to its members
2. (Mathematics) (in topological space) a set that contains all its own limit points


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A concept of absolute continuity of random closed sets arises in a natural way in terms of the absolute continuity of suitable mean content measures, with respect to the usual Lebesgue measure on [R.
builds the foundation for studying random set data, carefully covering generalities in probability, random sets in statistics, finite random sets, random sets and related uncertainly measures, random closed sets, the Choquet integral, Choquet weal convergence, and aspects of statistical inference with coarse data.
 
 
 
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