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Subject: Re: Mathematical wow!!!

Author: Dann Corbit

Date: 16:58:42 05/21/99

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On May 21, 1999 at 19:49:28, Gregor Overney wrote:

>On May 21, 1999 at 12:46:26, Dann Corbit wrote:
>
>>On May 21, 1999 at 01:26:16, J. Wesley Cleveland wrote:
>>[snip]
>>>>1,000,000,000,000,000,000,000,000,000,000 board positions.  There are
>>>>31,536,000,000 seconds in a millenium.  That is 31,709,791,983,760,000,000
>>>>positions per second.  I think that we'll find Martians before that happens.
>>>
>>>With alpha-beta, we may need to look at about the square root of that number or
>>>10^15 poaitions. At the 200,000,000 positions/second claimed for Deep Blue, it
>>>would take only about 2 months. I think, though, that 10^40 is closer to the
>>>true number of positions, which would take a couple millenia.
>>Besides which, at this point, I'm not trying to compute them ... only to count
>>them.  I think I can say with confidence that right now, nobody really knows the
>>actual number of board positions that are legal and possible.
>
>"...only to count them"?
>Assume that you can count one event in roughly one nanosecond. How many years
>would it take you for 10^40 events? Well how much are 10^31 seconds?
By counting them, I don't mean:
"one, two, three,... [whatever]"
I mean, rather, that we know the number of them.
For instance, I can count the number of double deck pinouchle hands without
actually counting them.  Just a bit of math.



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