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Subject: Re: Chess play

Author: Ralf Elvsén

Date: 07:21:06 08/12/99

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On August 12, 1999 at 03:13:03, Rick Andrews wrote:

>About how much weaker would a 180mhz computer play as compared to a 200mhz?
>Thanks,Rick

Hi

I'm not absolutely sure about this, and if I'm wrong I surely will
be corrected. Anyway...

A doubling of processor speed should give a rating
increment of approximately 70 points
(give or take some, it's the right order of magnitude...)

So, a factor f = 2  gives  r = 70 points
A factor  f = 4 gives  r = 140
f = 8 gives r = 280  etc
In general:  f = 2^(r/70)    or inverted

r = 70*ln f/ln 2   where  ln is the natural logarithm  (anyone got a formula
editor?)

f = 200/180 = 1.11 and this is the factor you are considering.
Insert in the above formula to get  r = 11 rating points. Barely measureable...

I have not taken into account any assumption about diminishing return.

Ralf





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