迭代F-内嵌入信息生成及其遗传发现-应用

摘要

F-半P-集合是把动态特性引入到康托集合X中得到的一个新的数学结构与数学模型.F-半P-集合是由内P-集合XF与康托集合X构成的集合对.利用内P-集合,给出迭代F-内嵌入信息与迭代F-内嵌入信息的F-遗传概念.迭代F-内嵌入信息的F-遗传是把生物学中的遗传与迭代F-内嵌入信息进行交叉获得的.利用这些概念,给出迭代F-内嵌入信息存在性定理、迭代F-内嵌入信息的F-遗传定理与F-遗传信息的还原定理.在此基础上,给出迭代F-内嵌入信息的F-遗传发现与应用.F-半P-集合是研究动态系统工程的一个新理论.%F-half P-sets (F-half Packet sets) is a new mathematicat structure and model, which is obtained by introducing the dynamic characteristics into Cantor set X. The F-half P-sets is a pair of sets consisting of an internal packet set XF and a Cantor set XF. Based on the internal P-set XF, the concepts of iterative F-internalembedding information and its F-heredity are presented through grafting the iterative F-internal embedding information onto the heredity concept in biology. Using these concepts, existing theorems, F-heredity theorems, and recovery theorems of iterative F-internal embedding information are proposed. With these results,the discovery-applications of F-heredity are discussed. F-half P-sets is a new theory in the research field of dynamic system engineering.