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Topic: Simple random number generator?
Replies: 8   Last Post: Dec 12, 2012 12:01 AM

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Dr J R Stockton

Posts: 1
Registered: 11/30/12
Re: Simple random number generator?
Posted: Nov 30, 2012 3:25 PM
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In sci.math message <50b6cabe$0$24749$>, Wed, 28 Nov 2012
21:38:34, Existential Angst <> posted:

>So are the digits of pi random or not?

The digits of pi are not random, because, unless the base is changed,
they are the same every time and can be defined relatively briefly, even
without assuming a definition of pi (which pi may formally lack).

But any arbitrarily chosen sub-sequence of the digits of pi will, I
believe, pass an appropriate proportion of the usual tests for
randomness. Note that the full expansion of the digits of pi contains
as sub-sequences of a given length all possible digit strings of that
length, some of which will not look random to the untutored eye, such as

A real mathematician could put that more precisely.

(c) John Stockton, nr London UK. ??? Turnpike v6.05 MIME.
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