Re: [math-fun] Random integer question
Since I plan to publish this when I get around to writing it up, I'm a bit hesitant to go into detail at this point. --Dan --- Daniel Asimov <dasimov@earthlink.net> wrote:
Actually I've found a way to pick an integer from Z such that all integers have the same chance of being picked (using the Axiom of Choice).
How? Gene __________________________________ Do you Yahoo!? Yahoo! Mail - Easier than ever with enhanced search. Learn more. http://info.mail.yahoo.com/mail_250 _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
It should make for interesting reading. Obviously, you must change the "rules" slightly about what it means to be a uniform random integer, since, in the formal sense, there can be no uniform distribution on the integers. Without giving away too much, can you give a hint about what perspective you take on the notion of randomness so that your construction becomes feasible? Joshua Daniel Asimov wrote:
Since I plan to publish this when I get around to writing it up, I'm a bit hesitant to go into detail at this point.
--Dan
--- Daniel Asimov <dasimov@earthlink.net> wrote:
Actually I've found a way to pick an integer from Z such that all integers have the same chance of being picked (using the Axiom of Choice).
How?
Gene
__________________________________ Do you Yahoo!? Yahoo! Mail - Easier than ever with enhanced search. Learn more. http://info.mail.yahoo.com/mail_250
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
Daniel Asimov wrote:
Actually I've found a way to pick an integer from Z such that all integers have the same chance of being picked (using the Axiom of Choice). But never mind that.
Since I plan to publish this when I get around to writing it up, I'm a bit hesitant to go into detail at this point.
Well, ok. But if you do pick a number that way, will this margin of the internet be big enough to hold its value? -- Don Reble djr@nk.ca
I know the solution a[n] to 1-px = product(n = 1 to infinity) (1-x^n)^a[n] through a rather indirect route, but are there techniques for directly solving this equation? --ms
participants (4)
-
Daniel Asimov -
Don Reble -
Joshua Sweetkind-Singer -
Mike Speciner