Representations of Each Number Type That Differ by Scale Factors - Advances in Pure Mathematics

APM > Vol.3 No.4, July 2013

Representations of Each Number Type That Differ by Scale Factors ()

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Download as PDF (Size: 272KB) PP. 394-404

DOI: 10.4236/apm.2013.34057 5,621 Downloads 7,556 Views Citations

Author(s)

Paul Benioff

Affiliation(s)

Physics Division, Argonne National Laboratory, Argonne, USA.

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

Share and Cite:

P. Benioff, "Representations of Each Number Type That Differ by Scale Factors," Advances in Pure Mathematics, Vol. 3 No. 4, 2013, pp. 394-404. doi: 10.4236/apm.2013.34057.

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