计算机工程与应用 ›› 2011, Vol. 47 ›› Issue (20): 44-46.

• 研究、探讨 • 上一篇    下一篇

P-积分及其动态特性

于秀清   

  1. 德州学院 数学系,山东 德州 253000
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2011-07-11 发布日期:2011-07-11

P-integrals and its dynamic characteristics

YU Xiuqing   

  1. Department of Mathematics,Dezhou University,Dezhou,Shandong 253000,China

  • Received:1900-01-01 Revised:1900-01-01 Online:2011-07-11 Published:2011-07-11

摘要:

P-集合是把动态特性引入到有限普通集合中得到的一个新的概念,它是由内P-集合XF与外P-集合XF构成的一个集合对,具有动态特征。将P-集合与积分的知识相结合,给出P-积分的概念,讨论了P-积分的动态特性,并利用P-积分,得到了P-集合的识别定理、P-集合套定理以及P-集合相对于集合X的变化程度的度量,即P-相对厚度。

关键词: P-集合, P-积分, 动态特性, P-相对厚度

Abstract: P-integrals is a new concept obtained by adding dynamic characteristics to Cantor set,which is composed of internalP-sets XF and outer P-sets XF.It has dynamic characteristics.Based on knowledge of P-sets and integral,the concept of P-integrals is presented.The dynamic characteristics of P-integrals are discussed.Using P-integrals,theorems of P-sets’ recognition,series of P-sets,and measurement about changing degree of P-sets to set X,namely,P-relative thickness all are got.

Key words: P-sets, P-integrals, dynamic characteristics, P-relative thickness