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Representations of Each Number Type That Differ by Scale Factors
Physics Division, Argonne National Laboratory, Argonne, USA
- 1 Physics Division, Argonne National Laboratory, Argonne, USA
Advances in Pure Mathematics·Volume 03 (2013)·Pages 394–404·Published 1 July 2013·DOI10.4236/apm.2013.34057
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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.
KeywordsNumber TypesStructures
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