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Avtomatika i Telemekhanika, 1983, Issue 6, Pages 125–130 (Mi at5146)  

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.

Received: 22.07.1981
Bibliographic databases:
Document Type: Article
UDC: 53.072:51
Language: Russian
Citation: A. B. Khmel'nitskaya, “Mapping models of invariant scaling. I”, Avtomat. i Telemekh., 1983, no. 6, 125–130; Autom. Remote Control, 44:6 (1983), 791–796
Citation in format AMSBIB
\Bibitem{Khm83}
\by A.~B.~Khmel'nitskaya
\paper Mapping models of invariant scaling.~I
\jour Avtomat. i Telemekh.
\yr 1983
\issue 6
\pages 125--130
\mathnet{http://mi.mathnet.ru/at5146}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=728848}
\zmath{https://zbmath.org/?q=an:0541.62046}
\transl
\jour Autom. Remote Control
\yr 1983
\vol 44
\issue 6
\pages 791--796
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  • https://www.mathnet.ru/eng/at/y1983/i6/p125
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