| 摘要: |
| 有限集由于有有限多个子集，因而具有许多无限集合所不具有的性质；从n元有限集的所有k元子集元素和入手，得到了n元有限集的全体子集元素和Sn的计数公式，以及所有k阶子集的元素和Sn,k(k=0,1,2,…,n)的计数公式以及单峰性质和其他一些推论. |
| 关键词: 计数公式 有限集 有限子集 二项式系数 |
| DOI： |
| 分类号: |
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| Discussion on the Nature of the Finite Set |
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CHENG Jie1，Yang Dong Ping2
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| Abstract: |
| Because finite set contains limited subsets, it has many properties infinite set doesn’t have. This paper begins with the sum of all elements of subsets with k elements in finite set with n elements, gains calculating formula for Sn,the sum of all elements of subsets in finite set with n elements, and gets calculating formula for Sn,k(k=0,1,2,…,n), the sum of all elements of subsets with k order as well as unimodal nature and some other inferences. |
| Key words: counting formula finite set limited subset binomial coefficients |
