Abstract:

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 X^F and a Cantor set X^F.Based on the internal P-set X^F, the concepts of iterative F-internal embedding 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.