Re: Randomness of digits within pi


<jonas.thornvall@xxxxxxxxxxx> wrote in message
news:1194606172.590463.231420@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
On 9 Nov, 11:53, jankri...@xxxxxxxxxxx wrote:
On 9 Nov, 11:41, jonas.thornv...@xxxxxxxxxxx wrote:

When i was playing around at "http://zenwerx.com/pi.phplooking"; for
occurences of my personalnumber within PI i noticed that 333333 and
especially 666666 do not seem to occur as frequent as
111111,222222,444444,555555,777777,888888,999999 or XXXXXX (without
testing all ;)

Is this just a fluke result of to small sample size at the page, could
anyone verify searching in the big file with a program?

If that really the case that 333333 andd 666666 is a lot less frequent
what is the mathematical reason?

J

If there are 4 million digits, that's a sample size that is far too
small to say anything about the frequency of 111111 and the others.
Each of them should only turn up once in one million digits on
average.

---
J K Hauglandhttp://home.no.net/zamunda

Yes i thought the downloadable sample file was bigger but i can see it
is same size now.
But what is known about the distribution of larger digits
(numberstrings?) within pi, is it really randomed distributed?

So i try again is six digit numbers randomly distributed within pi, if
not why?

J


The pdf article

interstat.statjournals.net/YEAR/2005/articles/0510005.pdf

describes results from a number of tests on the randomness
of the digits of pi, as well as e, sqrt(2) and the decimal
expansions of various rationals.

A related article,

interstat.statjournals.net/YEAR/2006/articles/0601001.pdf

refutes claims from Physicists at Purdue that the digits
of pi are not as random as those from other sources.

George Marsaglia


.

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  • Re: Randomness of digits within pi
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