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Subject: Re: Hash collisions and a little maths

Author: Vincent Diepeveen

Date: 08:53:39 02/24/99

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On February 24, 1999 at 11:27:53, Ed Schröder wrote:

>>Posted by Vincent Diepeveen on February 24, 1999 at 08:03:23:
>
>>I know however that i must have had wrong collisions, probably the fact
>>that i don't store true values hides collision probs from me, as i
>>cannot have true values in my program; if a score is true then alfa
>>gets improved and then score is again <= alfa, so i use only 1 bit
>>to see whether it's >= beta or <= alfa.
>
>I don't understand the above. You say,  "i cannot have true values in
>my program" and then "if a score is true then..." which I interpret as
>you use true score after all?
>
>My best guess is you only use alpha (and not beta) to mark the
>score in the hash table. Correct view?
>
>Can you tell why Diep can't use "true scores" in the hash table?

This is something theoretical Ed,
ASSUME we have true scores in search.
Now try to prove that to false.

We assume that we have true scores.
then alfa becomes the true score,
however score <= alfa, so
conclusion is falsum.

so the score is <= alfa, which is a bound.
therefore i only store using 1 bit in hashtable.
a score is either <= alfa or >= beta, but never alfa < score < beta,
that cannot happen in DIEP as i improve alfa with the result of the search.

>Ed



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