On a class of discrete functions

We consider classes of functions which depend in a certain way on their variables. The relation between the number of H-functions of n variables of the k-valued logic and the number of n-dimensional Latin hypercubes of order k is found. We have shown how from an arbitrary Latin hypercube we can &quo...

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Bibliographic Details
Main Author: Kovačev Dimiter Stoičkov
Format: Article
Published: 2006
Series:Acta cybernetica 17 No. 3
Kulcsszavak:Számítástechnika, Kibernetika
Subjects:
Online Access:http://acta.bibl.u-szeged.hu/12779
Description
Summary:We consider classes of functions which depend in a certain way on their variables. The relation between the number of H-functions of n variables of the k-valued logic and the number of n-dimensional Latin hypercubes of order k is found. We have shown how from an arbitrary Latin hypercube we can "construct" (present in table form) an H-function and vice versa - how every H-function can be represented as a Latin hypercube. We extend the concepts of H-function and Latin hypercube.
Physical Description:513-519
ISSN:0324-721X