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The theory of abstract neural automata has been proposed previously. Believes that in studying change of the structure of abstract neural automata, genetico‐variable structure must be considered. Abstract neural automata are considered to be cognizant machines, machines of thought. The basic effect on cognition and on the thought of heredity, such as genes is considered to be important in this discussion. Following the proof of the theorem of existence of abstract neural automata whose state space of single neuron (stochastic automaton) is Euclidean space Ed, the theorem of ergodicity of evolutionary process of genetico‐variable structure of abstract neural automata is proved.

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