Article View: comp.theory
Article #1877Re: Real Numbers vs. Rational Numbers?
From: Jos Horsmeier
Date: Mon, 04 Jan 1993 11:30
Date: Mon, 04 Jan 1993 11:30
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1283 bytes
In article <1993Jan3.151347.29159@tom.rz.uni-passau.de> boerncke@kirk.fmi.uni-passau.de (Frank-Roland Boernke) writes: ||> Since "PI*PI" is a finite representation of PI * PI from which one can ||> algorithmically computer any of its digits in finite time, this counts as a ||> valid answer. ||> ||> If you don't consider this valid, then neither will you consider this valid: ||> ||> Calculate: 2 / 5 ||> Answer: 2/5. ||> ||> So then on that account, computers can't even work with fractions. |I think there IS a difference: | |For 2/5 you can find a finite numeric representation ( 0.4 ) |for PI or PI*PI you cannot! But what if we use a base PI representation? PI*PI obviously equals 100, which is definitely a finite numeric representation. There is none for 2/5, when using base PI. kind regards and happy new year! Jos aka jos@and.nl
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Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!sun4nl!and!jos From: jos@and.nl (Jos Horsmeier) Newsgroups: comp.theory Subject: Re: Real Numbers vs. Rational Numbers? Message-ID: <4287@dozo.and.nl> Date: 4 Jan 93 11:30:46 GMT References: <1992Dec17.142150.7932@tom.rz.uni-passau.de> <1hi8dvINN5l2@uwm.edu> <1993Jan3.151347.29159@tom.rz.uni-passau.de> Distribution: inet Organization: AND Software BV Rotterdam Lines: 25