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Subject: Re: A final stab at big-O

Author: Ricardo Gibert

Date: 18:24:01 05/09/01

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On May 09, 2001 at 20:23:27, Dann Corbit wrote:

>On May 09, 2001 at 20:14:41, Ricardo Gibert wrote:
>
>>On May 09, 2001 at 19:36:18, Dann Corbit wrote:
>>
>>>On May 09, 2001 at 19:34:35, Ricardo Gibert wrote:
>>>[snip]
>>>>>And it is clear that people who consider intractible problems to be O(1) are
>>>>>using a set of definitions that are without value.
>>>>
>>>>I did not formulate the definition, but I do find it to be of value all the
>>>>same.
>>>
>>>Valuable for WHAT?
>>>
>>>It certainly can't be used for computation if it delivers up answers like
>>>"Chess is O(1)"
>>
>>
>>It delivers the access of chess EGTBs as O(1) and I find that useful. It
>>delivers n*n chess as O(exp(n)) and find that useful too. What am I missing?
>
>You are missing that O(1) is the easiest class of computation, and O(exp(n)) is
>of the class of intractible problems.  Chess solution is intractible and your
>method classifies it as trivial.

A problem can be O(1), but in practice obtaining the solution is impossible.
Conversely, a problem can be O(exp(n)), but in practice, obtaining the solution
does not present any difficulty. I see no problem here.



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