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PARTS OF A SET AND SUB-EXCEEDING FUNCTION : CODING AND DECODING

2017
unpublished

Let be an integer such that and set with cardinality. The goal of this paper is to present a new way to encoding all subset of the set by sub-exceeding function on. After giving some proprieties of the set of sub-exceeding functions on we present a particular subset which we denote by such that his cardinality is. Since this subset has the same number of elements as the set of parts of denoted (), so we can construct a bijective map denoted from the set to (). As results, given an arbitrary

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