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From: gjerawlins@watdaisy.UUCP (Gregory J.E. Rawlins)
Newsgroups: net.puzzle
Subject: Re: x to the x to the x ... (expanded)
Message-ID: <7253@watdaisy.UUCP>
Date: Sat, 11-May-85 15:28:59 EDT
Article-I.D.: watdaisy.7253
Posted: Sat May 11 15:28:59 1985
Date-Received: Sun, 12-May-85 05:53:55 EDT
Reply-To: gjerawlins@watdaisy.UUCP (Gregory J.E. Rawlins)
Organization: U of Waterloo, Ontario
Lines: 17

In article <383@gitpyr.UUCP> smp@gitpyr.UUCP (Scott M Pfeffer) writes:
>[......]
>-------------------------------------------------------------------------------
>Part 2:  What about solutions to the "general" formula (x^x^x^ ...) = p,
>         where p is a positive integer (to keep it simple).
>[......]
>         x = "the pth root of p"?
>[......]
>        Scott Pfeffer
    This is correct for all positive x less than e^(1/e). It was
proved some years ago in Aequations Math., although i can't find
the reference. Note that 2^(1/2) is slightly less than e^(1/e) so
its quite close to the best we can get away with.
	greg.
-- 
Gregory J.E. Rawlins, Department of Computer Science, U. Waterloo
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