English

应用科学学报 ›› 1983, Vol. 1 ›› Issue (4): 293-304.

• 论文 • 上一篇    下一篇

和不重数集合及其应用

徐坤林   

  1. 常州第二无线电厂
  • 出版日期:1983-12-31 发布日期:1983-12-31

THE NUMBER SET OF SUMS UNEQUAL AND APPLICATION

XU KUNLIN   

  1. Changchou second radio factory
  • Online:1983-12-31 Published:1983-12-31

PDF

81

被引次数

2

摘要： 本文提出和不重数集合的数学概念:把n项数集合材{S}的任意数项称为它的一个子集,子集各项之和称为子集和,则数集{S}有2n-1个子集与子集和.把 2n-1个子集和互不相等的数集{S}称为完全和不重数集;把少于2n-1个子集和互不相等的数集{S}称为部分和不重数集.然后,阐述和不重数集的构造定理及其特性,并导出一系列计算公式.进而引出等比数列在一定条件下具有和不重特性的结论.最后例举和不重数集在研制"电脑中医"、计算机汉字信息处理以及质量检查等工作中的实际应用.

Abstract: In this paper we proposed the concepts of the number set with all partial sums unequal and the number set with a part of partial sums unequal. The constructive theorems and properties of such number sets are given and related calculation formulas have been worked out. It has been proved that under special conditions geometrical sequence is a number set with all partial sums unequal. At last, some application, examples of such number sets in developing electronic brain for traditional Chinese medicine, computer information processing of Chinese characters and industrial quality check are given.