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