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Jul0505   csmath: <<Reading it has made me feel a little better about the mauling of Mickey, because some of the ideas are so ingenious. “Brute Force” is actually, it appears, a quite unfair name for a very clever little machine indeed.>> Yes, exactly. That is the point, these machines are not aliens, they were made by inteligent programmers/engineers and they are not a proof of machine dominating humans but of humans using their inteligence to develop better tools. 

Jul0505   azaris: <farrooj> That's in fact a bit rounded. I only had Excel to use at work. Mathematica 4 does it in integer precision and gives 38093904702297390785243708291056390518886454060947061  75091883268515350125426207425223147563269805908203125 when you ask it to evaluate
1  Product[k/365, k, 365  23 + 1, 365]. 

Jul0505   farrooj: I don't know how to calculate odds. Can you explain the formula a bit? 

Jul0505   Marvol: <OneBadDog, InfiniteWombat>
An interesting other way of looking at this problem is this: Suppose there are 100 doors. Bob picks one, and then Monty opens up 98 of the remaining 99. Should Bob switch?
He obviously should!
The same maths apply to this problem although the odds change  but they still favor switching. 

Jul0505   Pawsome: Thanks for the help<csmath> On the subject of Hydra vs. Adams, it seems to me that the lustre has worn off Man vs. Machine duels for the simple reason that the man made machines have gotten so strong that the spectacle is now akin to watching a weightlifter take on a forklift. 

Jul0605   InfiniteWombat: farrooj, one way to solve counting problems like sneaky's is to count the complement and then subtract it from the total number of possibilities. So instead of counting the number of ways that at least two people have the same birthday, you would count the number of ways in which no one had a birthday on the same day. In symbols you would end up with :
(365 ^ 23)  (365!/342!).
The reason for the term (365 ^ 23) is that the first person can have any one of 365 days as their birthday, and the second person can also have any of 365 days. This yields 365 ^ 2 possibilities for the first two people. Continuing this reasoning, after 23 people there will be 365^23 total possibilities. The (365!/342!) term represents the total number of ways in which no two people can share a birthday. The first person can have their birthday on any of 365 days. However, the second person can't have a birthday on the same day as the first person, so they only have 364 possible birthdays. This gives 365 * 364 total ways in which two people can have birthdays on different days. Continuing this idea, we end up with (365 * 364 ... * 343) total ways in which 23 people can have mutually exclusive birthdays. (365!/342!) is just a nice shorthand for the previous product. Since you want to express this as a probability from 0 to 1, you divide by the total number of possibilities, giving you : 1  ( 365! / (342! * (365 ^ 23)) ) 

Jul0605   farrooj: thanks InfiniteWombat 

Jul0605   InfiniteWombat: No problem farrooj. Hope that made some sense. 

Jul0705   PARACONT1: I am sick of being let down by British players.
Staunton avoids Morphy;
Blackburne got crushed by Steinitz 07;
Keene 'retired' when he could have been great;
Nunn's promise unfulfilled;
Miles got involved in money squabbles instead of focussing on chess;
Short got crushed even worse than Blackburne, and then caused the present disunity in the chess world;
Adams  oh well, we all know about this chap;
Next? McShane will let us down in some way too I'm sure. In fact the only British players who didn't let us down was Alexander and Botteril (helped in the war effort) and Thomas (wisely shifted focus to badminton and became champ) 

Jul0705   Dirk Diggler: Such a negative fellow. The Brits only really started to push for more GMs in the 70s, and they rapidly developed a bunch of good players. Some of them are prolific authors. Your name sounds Italian. How many world class players have you seen? 

Jul0705   PARACONT1: <Dirk Diggler the Anti Italian> Ruy Lopez and Mariotti to name 2. Both WORLD famous. 

Jul0705   sneaky pete: <PARACONT1> Hey man, don't forget my secret hero, the, like, immortal Serafino Dubois. Totally! 

Aug1605   LIFE Master AJ: I think the post by <paraconti> was supposed to be humorous ... although I could be mistaken. (Friends say I have no sense of humor, and I have never laughed once in my whole life.) 

Aug1605   aw1988: They aren't wrong... 

Aug1605   Assassinater: <Short got crushed even worse than Blackburne> How is 6 +1 =13 (I think it's 13 draws) worse than 7 =0? Anyways, being crushed by Kasparov is hardly anything to be ashamed of. It's not like people are saying that Anand is crap because of his match with Kasparov... 

Aug1605   hayton3: <LIFE Master AJ> More like your acquaintances. 

Jul3107   MJW 72: I think that the results for the humans would be much better if the compy makers offered money to people who would care about it. The human would study a lot and his playing strength would go way up. The compy would be unable to win a lot. 95% of games would end in draws however. 

Jul3107   Whitehat1963: <MJW> You're dreaming. Human dominance in chess is officially over. 

Jul3107   MJW 72: Well the only thing that might be totally unstoppable would be Rybrka on Hydra's hardware with the kinks worked out by chessbase. That won't happen for some time. 

Jul3107   MJW 72: Scatch that. It would be unstoppable. Everything else is likly barely stopable. 

Aug0107   Whitehat1963: <Everything else is likly barely stopable.> You might want to ask Kramnik his opinion about the lowly Fritz 10. 

Nov0907   m0nkee1: Edward Nemeth plays nicley against computers.. some of his games look almost romantic.. Alpha beta pruning can be fooled by a series of sacrifices.  the computer doesn't expect you to deliberatley loose material  so if you make a move which does this it has to start calculating a fresh... precarious playing style tho... 

Oct2217
  MissScarlett: Kenneth Regan <My model also seems to give sensible results on computer matches even when the computers are stronger than my Rybka 3 depth13 settings. I have Deep Blue at 2910 and 2850 for the two matches against Kasparov, who had only about 2600 both times (Think: Nerves), while its predecessor Deep Thought was 2150 in 1991, and MP successor Hydra hit 3150 in 2005. Deep Fritz 10 running on an ordinary quadcore PC had 2980 while beating Kramnik 42 in 2006; Kramnik hit 2730 while British GM Mickey Adams wins “best human” with 2820 even though he got wiped out by Hydra 051.> https://rjlipton.wordpress.com/2013... 

Jan2920
  amadeus: Bye, bye, Mr. Adams, goodbye.
Not a nice day for sapiens. 

Jan3020   ndg2: Hail Hydra! 



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