Re: Complex Specified Information - Pitman Formula

On 25 Jul, 16:29, David Wilson <see_sig@xxxxxxxxxxxxxx> wrote:
In article <1185353612.840766.3...@xxxxxxxxxxxxxxxxxxxxxxxxxxxx> on
July 25th in talk.origins fropome <monk...@xxxxxxxxxxxxxxxxxxx> wrote:





On 25 Jul, 01:46, Seanpit <seanpitnos...@xxxxxxxxxxxxxxxxxxxxxxxxxxx>
wrote:
On Jul 24, 6:59 am, fropome <monk...@xxxxxxxxxxxxxxxxxxx> wrote:

CSI: X^n - (( log(base2)(X^n)! / (log(base 2)(X^n) - hd)! * hd!)

X = number of possible characters per position
n = size of the sequence
hd = Hamming Distance

You haven't got your brackets right here so this could be the only
problem, but looking at your denominator, if x = 3 and n = 2
(log(base 2)(X^n) - hd)!
= (log(base 2) (3^2) - hd)!
= (log(base2)(9 - hd)) !

which makes no sense if hd is- say- 2 (can you see why?).

Not really - - You just put the brackets in the wrong place.

(Log(base2)(3^2) - hd)!
= (Log(base2)9 - hd)!
= (3.17 - 2)!
= 1.17!

That means that:

= 9 - (3.17! / 1.17! * 2!)
= 9 - 3.43945
CSI = 5.56055

Using the modified formula for CSI:

(log(base2)(X^n)! / (log(base2)(X^n) - |(log(base2)(X^n) / 2-hd)|! * |
(log(base2)(X^n)/2) -hd)|!)

= (3.17! / (3.17 - |(3.17 / 2 - 2) |)! * |(3.17 / 2 - 2)|!)

= (3.17! / (3.17 - 0.415)! * 0.415!

= 3.17! / 2.755! * 0.415!

= 1.90

< snip >

Sean Pitmanwww.DetectingDesign.com

What?

oh I get it, you're having a laugh! ho ho ho! ha ha ha! Ah, sorry it
took me so long. Would you like the opportunity to explain the joke to
the lurkers? Or would you prefer it if I pointed out how what you've
written makes absolutely no sense?

It does (sort of), provided you understand the Pitmanese dialect of
mathematics. Dr Sean seems to be using the factorial sign as a
synonym for its generalisation to arbitrary non-negative real numbers
--i.e the Gamma function evaluated at the factorial's argument
incremented by one: x! =pitmandef Gamma( x+1 ). So 3.17! / 2.755! * 0.415!,
for instance, is just Gamma( 4.17 )/( Gamma( 3.755 ) * Gamma( 1.415 )
= 7.45836852.../(4.4492345954... * 0.8865489992441 ...) = 1.8908443883...

---------------------------------------------------------------------------­--
David Wilson

SPAMMERS_fingers@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
(Remove underlines and upper case letters to obtain my email address)- Hide quoted text -

- Show quoted text -

I actually suspect that he was going to _say_ something like that, but
had actually just been working it out on his windows calculator and
didn't realise that n! is actually undefined for n <> integer.
My next question was going to by why he thinks the gamma function is
useful here, other than because it generates large numbers. Either his
maths is very good- in which case he would have a proof for this
formula which he can show us- or his maths is very bad. Using the
gamma function without saying that he is makes me suspect rather
strongly that his maths is very bad, using it without having a proof
of why it's there would make me _know_ his maths was bad.


.

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