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The octahedron equation implies the cube equation: An elementary proof
Authors:J A MacDougall  K Ozeki
Institution:(1) Dept. of Mathematics and Computer Science, University of Prince Edward Island, C1A 4P3 Charlottetown, PE1, Canada;(2) Department of Mathematics, Faculty of General Education, Utsunomiya University, Utsunomiya, Japan
Abstract:It has been proved by L. Sweet that the ldquooctahedronrdquo functional equation implies the ldquocuberdquo functional equation in all dimensionsngE1. In this note we give an elementary proof of this theorem.
Keywords:Primary 39B40
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