MATHEMATICAL STUDIES FOR SELF-ORGANIZING SYSTEMS.
PENNSYLVANIA UNIV PHILADELPHIA MOORE SCHOOL OF ELECTRICAL ENGINEERING
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Probably the most significant contribution to result from this study is the greater insight into the characteristics of an interesting self-organization system and a reasonable specification of the elementary properties of such systems. A second major contribution has been the detailed description of a universal self-organizing system in the form of a vertex-labelled graph a direct relation has been established between one such graph and the behavioral description of a universal Turing machine. It is important to note that the resulting computing graph was then extended to include the capability of self-reproduction, a far-reaching result in its own right, and particularly significant in that self-reproduction is accomplished through a process of self-organization. Author