Accession Number : AD0759713
Title : A Finite Basis Theorem Revisited.
Descriptive Note : Technical rept.,
Corporate Author : STANFORD UNIV CALIF DEPT OF COMPUTER SCIENCE
Personal Author(s) : Klarner ,David A.
Report Date : MAR 1973
Pagination or Media Count : 11
Abstract : Let S denote a set of k-dimensional boxes each having integral sides. Let gamma(S) denote the set of all boxes which can be filled completely with translates of elements of S. It is shown here that S contains a finite subset B such that Gamma(B) = Gamma(S). This result was proved for k = 1,2 in an earlier paper, but the proof for k > 2 contained an error. (Author)
Descriptors : (*SET THEORY, THEOREMS), NUMBER THEORY, SEQUENCES(MATHEMATICS)
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE