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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 510.675+519.248+519.712.6
V.V. Skobelev

STATISTICALLY EQUIVALENT MAPPINGS OF FINITE SETS

Abstract. A set-theoretic approach for the analysis of statistically equivalent mappings of a finite set is elaborated. Some model problems are resolved, namely, investigation of collisions of mappings, computational security analysis of a sequence of mappings provided that the number of arguments increases without limit and computation of the asymptotical computational security for this sequence of mappings, analysis of the structure of classes of statistically equivalent mappings, analysis of conditions under which a mapping is statistically equivalent to superposition of this mapping with a given set of mappings. Refs: 12 titles.

Keywords: finite set, mapping, computational security, statistical equivalence.



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Скобелев Владимир Владимирович,
кандидат физ.-мат. наук, старший научный сотрудник Института прикладной математики и механики НАН Украины, Донецк,
e-mail: VV_skobelev@iamm.ac.donetsk.ua.

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