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Topic: expansion of PI
Replies: 65   Last Post: Sep 29, 2009 5:05 PM

 Messages: [ Previous | Next ]
 Dik T. Winter Posts: 7,899 Registered: 12/6/04
Re: expansion of PI
Posted: Sep 29, 2009 10:54 AM

In article <BN5vm.43053\$ze1.25283@news-server.bigpond.net.au> "|-|erc" <h@r.c> writes:
>
> "Dik T. Winter" <Dik.Winter@cwi.nl> wrote

> > However, the 'never coming to an end' has nothing to do with this. In a
> > decimal expansion a the sequence of decimals does not terminate when the
> > number is *not* a rational number with a denominator that has only factors
> > 2 and/or 5. Pi is not such a number and so you can draw your conclusions.

>
> you disagree with everyone else who says the fact it's trancendental or
> the fact it's irrational mean it's expansion does not terminate.

In what way do I disagree? I say that it terminates *only* if some
condition holds. Obviously the condition does not hold for transcendental
numbers, and so it does not terminate in that case.

> The well known context of random regarding pi's digits is pseudorandom, so the context is quite clear
> although mathematicians and skeptics have trouble seeing the context.

In that case you should say that the *sequence of digits* is pseudorandom.
Note however that it the sequence of digits of a number actually is
pseudorandom it most likely is a rational number.
--
dik t. winter, cwi, science park 123, 1098 xg amsterdam, nederland, +31205924131
home: bovenover 215, 1025 jn amsterdam, nederland; http://www.cwi.nl/~dik/

Date Subject Author
9/17/09 |-|erc
9/17/09 Scott Berg
9/17/09 |-|erc
9/17/09 Peter Webb
9/18/09 |-|erc
9/18/09 Peter Webb
9/18/09 |-|erc
9/18/09 Scott Berg
9/18/09 David Bernier
9/17/09 J. Antonio Perez M.
9/17/09 |-|erc
9/17/09 Bill
9/17/09 |-|erc
9/17/09 Peter Webb
9/17/09 |-|erc
9/18/09 Peter Webb
9/18/09 |-|erc
9/18/09 Scott Berg
9/18/09 |-|erc
9/18/09 Scott Berg
9/18/09 |-|erc
9/18/09 Scott Berg
9/18/09 |-|erc
9/18/09 Scott Berg
9/18/09 |-|erc
9/18/09 Peter Webb
9/18/09 |-|erc
9/18/09 jbriggs444@gmail.com
9/18/09 |-|erc
9/18/09 Scott Berg
9/25/09 Dik T. Winter
9/25/09 Peter Webb
9/25/09 Daryl McCullough
9/25/09 Christopher J. Henrich
9/25/09 Peter Webb
9/29/09 Dave L. Renfro
9/29/09 Ioannis
9/29/09 Dave L. Renfro
9/25/09 jbriggs444@gmail.com
9/25/09 Jerome Walsh
9/18/09 |-|erc
9/18/09 Scott Berg
9/18/09 |-|erc
9/18/09 Scott Berg
9/18/09 |-|erc
9/18/09 Scott Berg
9/18/09 |-|erc
9/20/09 Scott Berg
9/20/09 |-|erc
9/20/09 namducnguyen
9/20/09 David Bernier
9/21/09 Scott Berg
9/18/09 Dik T. Winter
9/18/09 |-|erc
9/18/09 Bill
9/18/09 |-|erc
9/25/09 Dik T. Winter
9/25/09 |-|erc
9/25/09 |-|erc
9/29/09 Dik T. Winter
9/29/09 |-|erc
9/18/09 David Bernier
9/18/09 rossum
9/18/09 namducnguyen
9/18/09 |-|erc
9/18/09 Scott Berg