A Finite Basis Theorem Revisited.

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)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1973
Accession Number
AD0759713

Entities

People

  • David A. Klarner

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Integrals

Fields of Study

  • Mathematics

Readers

  • Educational Psychology
  • Mathematical Modeling and Probability Theory.