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Truth and breadth, clarity and depth in algebra

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Holmes, WN (2009) Truth and breadth, clarity and depth in algebra. Computer, 42 (11). 108, 106-107. ISSN 0018-9162

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Abstract

This essay is a sequel to an essay of 2003 that pointed our gross deficiencies in the commodity calculator and described modifications that would bring truth and clarity to the calculator. One of the gross untruths was in the pretence that the arithmetic was exact, and this essay couples inexact arithmetic to the exact of the earlier redesign in clear way and also describes how lists and sets of numbers can be dealt with simply and practically. But the capstone is the introducation of a formula stack alongside the argument stack so that computational algebra is practical and simple. Templates for functions of functions are also proposed.

Item Type: Article
Keywords: arithmetic, calculator, algebra, formulator, list processing, set processing, notation, symbolic computation
Journal or Publication Title: Computer
Page Range: 108, 106-107
ISSN: 0018-9162
Identification Number - DOI: 10.1109/MC.2009.371
Additional Information: © 2009 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Date Deposited: 11 Nov 2009 06:23
Last Modified: 18 Nov 2014 04:07
URI: http://eprints.utas.edu.au/id/eprint/9474
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