Subject: Oz and Rachael team up

From: Belly Bulge? <[email-masked]>
Date: Fri, 23 May 2014 07:27:08 -0700

[Everyday With Rachael]
Feat. Doc.Oz | Rapid Belly Melt

Rachel takes a break from her show to investigate with Oz on something you probably never heard/seen of before.

Rachael R. dropped 25LB in 4-weeks with No Special activities, and No Intense Exercise.
Her Now: http://www.lesssurface.com/Rachael-Ray-and-OZ/77_093.html

We would love to hear about how much you lose with this. Please leave a comment.

Thanks,
Rachael

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eac3b595aec97a1eeb629a0c380e3e4b
No, but it's based on Phi (the "golden ratio").

More about the golden ratio here.

And a really good read for the casual mathematician here.

eac3b595aec97a1eeb629a0c380e3e4b

I found a research paper on random number generators that eac3b595aec97a1eeb629a0c380e3e4b with this assertion. (See page 53.)

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edited yesterday

12	  	
Do you know why a number based on Phi eac3b595aec97a1eeb629a0c380e3e4b a good choice as a seed? Would it be eac3b595aec97a1eeb629a0c380e3e4b to summarize this here?   Dukeling May 15 at 20:57 
21	  	
@Dukeling The constant is used eac3b595aec97a1eeb629a0c380e3e4b once, to temper the eac3b595aec97a1eeb629a0c380e3e4b seed. My very eac3b595aec97a1eeb629a0c380e3e4b suspicion is eac3b595aec97a1eeb629a0c380e3e4b it was chosen to be a nothing up my sleeve number that eac3b595aec97a1eeb629a0c380e3e4b seeds with eac3b595aec97a1eeb629a0c380e3e4b bits set (perhaps a eac3b595aec97a1eeb629a0c380e3e4b choice) from screwing up the eac3b595aec97a1eeb629a0c380e3e4b eac3b595aec97a1eeb629a0c380e3e4b eac3b595aec97a1eeb629a0c380e3e4b (instead of some magical property of phi).   David Eisenstat May 15 at 21:09 
7	  	
To quote a quote from the said book eac3b595aec97a1eeb629a0c380e3e4b to Knuth any large MBIG and any smaller (but still large) MSEED can be substituted for the above values. So it is mathematical fun, more or less.. So the eac3b595aec97a1eeb629a0c380e3e4b answer should be: No. But it is based on Phi.   TaW May 15 at 21:19 
10	  	
Just took a look through that random number paper - this line stood out a eac3b595aec97a1eeb629a0c380e3e4b -  "One  cant even fathom the eac3b595aec97a1eeb629a0c380e3e4b if security flaws in the implementation (or design) of the SSL  protocol are to be found." (page 4)   jcw May 16 at 19:10 
2	  	
nGuillot relevant xckd: eac3b595aec97a1eeb629a0c380e3e4b.eac3b595aec97a1eeb629a0c380e3e4b/221   DLeh May 16 at 19:58
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up vote
44
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This number is taken from golden ratio 1.61803398 * 10^8. Matt gave a nice answer what is this number, therefore I will just explain a little bit aboeac3b595aec97a1eeb629a0c380e3e4b

This is not a special number for this algorithm. The algorithm is Knuth's subtractive random number generator algorithm and the main points of it are:

store a circular list of 56 random numbers
eac3b595aec97a1eeb629a0c380e3e4b is process of filling the list, then eac3b595aec97a1eeb629a0c380e3e4b those eac3b595aec97a1eeb629a0c380e3e4b with a specific eac3b595aec97a1eeb629a0c380e3e4b algorithm
two indices are kept which are 31 apart
new random number is the difference of the two eac3b595aec97a1eeb629a0c380e3e4b at the two indices
store new random eac3b595aec97a1eeb629a0c380e3e4b in the list
The generator is based on the following eac3b595aec97a1eeb629a0c380e3e4b: Xn = (Xn-55 - Xn-24) mod m, where n  0. This is a partial case of lagged Fibonacci generator: Xnmod m, where 0 < k < jeac3b595aec97a1eeb629a0c380e3e4b binary operation (eac3b595aec97a1eeb629a0c380e3e4b, addition, xor).

There are several eac3b595aec97a1eeb629a0c380e3e4b of this generator. Knuth offers an eac3b595aec97a1eeb629a0c380e3e4b in FORTRAN in his book. I found the following code, with the following comment:

eac3b595aec97a1eeb629a0c380e3e4b to Knuth, any large MBIG, and any smaller (but still large) MSEED can be substituted for the above values.

A little bit more can be eac3b595aec97a1eeb629a0c380e3e4b here Note, that this is not eac3b595aec97a1eeb629a0c380e3e4b a research paper (as stated by Math), this is just a master eac3b595aec97a1eeb629a0c380e3e4b thesis.

People in eac3b595aec97a1eeb629a0c380e3e4b like to use irrational number (pi, e, sqrt(5)) eac3b595aec97a1eeb629a0c380e3e4b there is a conjecture that digits of such numbers appears with equal frequency and thus have high entropy. You can eac3b595aec97a1eeb629a0c380e3e4b this related eac3b595aec97a1eeb629a0c380e3e4b on security eac3b595aec97a1eeb629a0c380e3e4b to learn more about such numbers. Here is a quote: