Representations of Each Number Type That Differ by Scale Factors

Paul Benioff

Physics Division, Argonne National Laboratory, Argonne, USA.

DOI: 10.4236/apm.2013.34057                

Abstract

For each type of number, structures that differ by arbitrary scaling factors and are isomorphic to one another are described. The scaling of number values in one structure, relative to the values in another structure, must be compensated for by scaling of the basic operations and relations (if any) in the structure. The scaling must be such that one structure satisfies the relevant number type axioms if and only if the other structure does.

Keywords

Number Types; Structures

Conflicts of Interest

The authors declare no conflicts of interest.

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