At 03:55 PM 5/6/05 -0400, Tyler Durden wrote:
>Yes, but only provided the universe lasts long enough for those digits
to be
>computed!
>-TD
Actually, a few years ago someone discovered an algorithm for the Nth
(hex) digit of Pi
which doesn't require computing all the previous
http://cypherpunks.venona.com/date/1993/05/msg00213.html
Back in the old days, Tim May would occasionally talk about the
Kolmogorov-Chaitin theories about randomness - Kolmogorov complexity gives
you a lot of deep explanations about this sort of problem. Alas, I never
actually *read* those pape
Yes, but only provided the universe lasts long enough for those digits to be
computed!
-TD
From: John Kelsey <[EMAIL PROTECTED]>
To: Sarad AV <[EMAIL PROTECTED]>, [EMAIL PROTECTED]
CC: [EMAIL PROTECTED]
Subject: Re: Pi: Less Random Than We Thought
Date: Fri, 6 May 2005 09:42:09 -040
>From: Sarad AV <[EMAIL PROTECTED]>
>Sent: May 5, 2005 8:43 AM
>To: [EMAIL PROTECTED]
>Cc: [EMAIL PROTECTED]
>Subject: Re: Pi: Less Random Than We Thought
Well, if it were generated by a random process, we'd expect to see every
n-bit substring in there somewhere,
hi,
--- Gil Hamilton <[EMAIL PROTECTED]> wrote:
> For example, is this sequence
> of bits random:
> 01100100010? How about this one: 00? From
> a true random number
> generator, both are completely possible and equally
> valid.
Random as in the sense guessable and thus posing a
problem
--- Tyler Durden <[EMAIL PROTECTED]> wrote:
>
> Let us remember, of course, that the digits of "pi"
> are not random
> whatsoever: they are the digits of pi! "Random is in
> the eye of the
> beholder."
> -TD
Exactly. What an algorithm gives out
umulative average of the digits of pi oscillated
around 5 (to one part in a zillion) with a period of 100 Billion...is this
random enough for you?
Let us remember, of course, that the digits of "pi" are not random
whatsoever: they are the digits of pi! "Random is in the eye of th
Sarad writes:
If you remember D.E Knuth's book on Semi-Numerical
Algorithms he shows some annoying subsequences of pi
in it which are far from random.
I don't have Knuth's book handy to look at, but it's not really correct
to speak of a particular sequence or subsequence of di
hi,
If you remember D.E Knuth's book on Semi-Numerical
Algorithms he shows some annoying subsequences of pi
in it which are far from random.
Sarad.
--- cypherpunk <[EMAIL PROTECTED]> wrote:
> This doesn't really make sense. Either the digits
> are random or they
>
>[1]Autoversicherung writes "Physicists including Purdue's Ephraim
>Fischbach have completed a study [2]comparing the 'randomness' in pi
>to that produced by 30 software random-number generators and one
>chaos-generating physical machine. After con
Link: http://slashdot.org/article.pl?sid=05/05/01/1759240
Posted by: timothy, on 2005-05-01 18:26:00
from the at-least-statistically dept.
[1]Autoversicherung writes "Physicists including Purdue's Ephraim
Fischbach have completed a study [2]comparing the 'randomness&#x
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t the president
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"it Special Agent Pie or Pi, in which he says that defendant's web
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Phillip H. Zakas wrote:
> this is truly interesting...do you have a link to the original 1996
> paper? do you know if anyone has incorporated this into a program?
David Bailey has a brief explanation of the Pi digit algorithm on his
Web page at NERSC...
http://hpcf.nersc.gov/~dhbailey/
At 11:34 AM 8/2/2001 -0700, Eric Cordian wrote:
>Interesting article recently posted on the Nature Web site about the
>normality of Pi.
>
>http://www.nature.com/nsu/010802/010802-9.html
>
>"David Bailey of Lawrence Berkeley National Laboratory in California and
> Richar
2001 2:35 PM
> To: [EMAIL PROTECTED]
> Subject: Pi
>
>
>
> Interesting article recently posted on the Nature Web site about the
> normality of Pi.
>
> http://www.nature.com/nsu/010802/010802-9.html
>
> "David Bailey of Lawrence Berkeley National Laboratory in Cal
Interesting article recently posted on the Nature Web site about the
normality of Pi.
http://www.nature.com/nsu/010802/010802-9.html
"David Bailey of Lawrence Berkeley National Laboratory in California and
Richard Crandall of Reed College in Portland, Oregon, present evidence
that
http://www.sciencedaily.com/releases/2001/07/010725081838.htm
James Choate
Product Certification - Operating Systems
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Eric Murray wrote:
> I agree with you, Napster is going to try to switch their
> user base to a for-pay model.
it's not like this had not happened before - there was this swiss site
that (non-commercially) provided lyrics to songs. they got sued by the
record industry (I don't recall whether the
Tim May <[EMAIL PROTECTED]> writes:
> A very good analysis.
>
> And on a different tack, I expect/predict that Napster will reinvent
> itself as a distributor of material with the permission of the record
> companies and will then aggressively go after Gnutella, Freenet, and
> Mojo types of s
> And on a different tack, I expect/predict that Napster will reinvent
> itself as a distributor of material with the permission of the record
> companies and will then aggressively go after Gnutella, Freenet, and
> Mojo types of sites. "Those who live by the sword..."
They already have: http
On Thu, Jul 27, 2000 at 01:47:35PM -0400, Tim May wrote:
>
> Digression on "rent-seeking behavior." In an effort to stave off
> corporate extinction, the loss of all of their IPO dreams, and the
> laying-off of their employees, Napster will probably "cut a deal"
> with the RIAA.
They're alrea
uot;
More comments below.
At 2:31 AM -0400 7/27/00, Lucky Green wrote:
>While I disagree with Judge Patel's PI in the Napster case, there is a
>valuable lesson in this result that should be of interest to Cypherpunks.
>Several lessons, actually:
>
>1. Systems that rely o
While I disagree with Judge Patel's PI in the Napster case, there is a
valuable lesson in this result that should be of interest to Cypherpunks.
Several lessons, actually:
1. Systems that rely on cooperation from the law are fundamentally broken
and will be compromised.
2. Systems with a s
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