A good place to start is Plouffe's inverter: http://pi.lacim.uqam.ca/eng/ Franklin T. Adams-Watters 16 W. Michigan Ave. Palatine, IL 60067 847-776-7645 -----Original Message----- From: Robert Baillie <rjbaillie@frii.com> To: math-fun <math-fun@mailman.xmission.com> Sent: Thu, 09 Feb 2006 19:20:04 -0500 Subject: [math-fun] Analyze This! Suppose you have a number like x = 23.10344790942054161603405404332559813830280000528214 ... (The first 50 decimal places of the sum of an infinite series). I'd like to "analyze" this number. What kinds of tests are available to tell whether x is rational, irrational, algebraic (or not), related to well-known constants, etc? If x = P/Q, a lower bound on Q is the denominator of the "last" continued fraction convergent for x, right? Bob Baillie _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun ___________________________________________________ Try the New Netscape Mail Today! Virtually Spam-Free | More Storage | Import Your Contact List http://mail.netscape.com