Simulation of Behavior and Intelligence

Mapping models of invariant scaling. I

A. B. Khmel'nitskaya

Leningrad

Abstract: A totality of mapping models of invariant scaling is introduced. Conditions are cited under which all mapping models prove equivalent. When they are, membership of a metrical model in an equivalent totality of mapping ones is established. For a positive uniform proximity function it is shown on a scale that on the knowledge of the scaling function in one model the scaling function is easily obtained in the other.

UDC: 53.072:51


Received: 22.07.1981

 English version: Automation and Remote Control, 1983, 44:6, 791–796

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