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From: werner@aecom.UUCP (Craig Werner)
Newsgroups: net.math
Subject: Re: Any # as infinite series
Message-ID: <1088@aecom.UUCP>
Date: Mon, 7-Jan-85 17:16:10 EST
Article-I.D.: aecom.1088
Posted: Mon Jan  7 17:16:10 1985
Date-Received: Wed, 9-Jan-85 08:18:37 EST
References: <17957@lanl.UUCP> <28200048@uiucdcs.UUCP>
Organization: Albert Einstein Coll. of Med., NY
Lines: 14

> In fact, any real number can be computed as an infinite series. Let
> d(i) be the ith digit after the decimal point and let d(0) be the
> integer part (to the left of the decimal point).  Then
> 
> number  =  d(0)/10^0 + d(1)/10^1 + d(2)/10^2 + d(3)/10^3 + ...
	
	That is not an infinite series. That is a representation, since it
is not invariant under base changes. PI can be expressed as the same
infiniite series in decimal and in binary, the above cannot, since d(n) is
arbitrary as noted above.
-- 
				Craig Werner
				!philabs!aecom!werner
		What do you expect?  Watermelons are out of season!