集合划分的深层结构的计算机辅助研究

Computer-aided Studying into Deep Construction of the Set Portioning

用C语言程序辅助研究了集合划分的一些数量关系,给出一个完整的程序,该程序求解了N元集合划分成K个不相交的非空子集的个数;求解了这些子集的基数结构及其个数;求解了不同基数结构对应的划分个数;求解了N元集合的所有不同划分的总个数。

In this paper some quantity relations of the set portioning had been studied as a supplementary means by C language program. It gave a perfect program, which solved the number of K non-crossing and non-empty subset , parted by set of N components, solved the construction of cardinal number and number of these subset, solved parted number, corresponded different cardinal number＇s construction, solved total number of different parting of set of N components.