NON-STANDARD ANALYSIS AND NUMERATION SYSTEMS

Serge GLADKOFF

doi:10.2307/44151865

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Home > Journals > Real Anal. Exchange > Volume 13 > Issue 1 > Article

1987/1988 NON-STANDARD ANALYSIS AND NUMERATION SYSTEMS

Serge GLADKOFF

Real Anal. Exchange 13(1): 167-172 (1987/1988). DOI: 10.2307/44151865

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Abstract

I will show how non-standard analysis can help in describing numeration systems, such as that used by fixed-point arithmetics in computers. To achieve the non-standard extension of the total order, instead of the usual definition using ultrafilters, a lexicographical ordering will be used.