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Computing with Exact Real Numbers in a Radix-r System

Alexander, Kaganovsky (1999) Computing with Exact Real Numbers in a Radix-r System. Technical report. , University of Kent at Canterbury (KAR id:21757)

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Abstract

This paper investigates an arithmetic based upon the representation of computable exact real numbers by lazy infinite sequences of signed digits in a positional radix-r system. We discuss advantages and problems associated with this representation, and develop well-behaved algorithms for a comprehensive range of numeric operations, including the four basic operations of arithmetic.

Item Type: Monograph (Technical report)
Additional information: This report is a revised version of the paper presented at the Birmingham COMPROX Workshop (1997) which appears in Electronic Notes in Theoretical Computer Science, Volume 13 (1998), doi: 10.1016/S1571-0661(05)80217-8
Subjects: Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Computing
Depositing User: Mark Wheadon
Date Deposited: 07 Oct 2009 11:58 UTC
Last Modified: 16 Feb 2021 12:32 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/21757 (The current URI for this page, for reference purposes)
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