Article 36577 of sci.math: Newsgroups: sci.math From: hoey@AIC.NRL.Navy.Mil (Dan Hoey) Subject: Re: Irrationalism Sender: usenet@ra.nrl.navy.mil Organization: Naval Research Laboratory, Washington, DC Date: Thu, 10 Mar 1994 17:45:30 GMT mark@freenet.uwm.edu (Mark Hopkins) says: >Give me any indication or formula that will allow me to compute the >Nth decimal for any non-rational on any machine for any N at all >without exceeding the capacity of that machine... John Baez told you how this may not work if the number is rational. But as long as you can provide N--as a decimal number, say--it's easy to exhibit such an irrational. For instance, we may take the irrational number 0.1234567891111111111222222222233... whose Nth digit is the leading digit of N. You don't even need to look at all of N to figure out what the N'th digit is. I wouldn't be surprised if someone could tell me what the N'th digit is where N is floor(1.5^(10^10000)). But probably not where N is floor(1.5^(10^10000)) with its digits in reverse order. Unlike John, though, I probably won't respond to this guy's next post even if he includes the answer. Anyone who can't tell the difference between C!=- <=> U!=| and NP=Co-NP is just a little too irrational for me. Dan Hoey Hoey@AIC.NRL.Navy.Mil