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Author Topic: pi in the sky  (Read 4097 times)

Offline DoctorBeaver

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pi in the sky
« on: 19/11/2005 01:24:52 »
In 1996, NERSC (National Energy Research Scientific Computing Center) Chief Technologist David H. Bailey (who's he? LOL), together with Canadian mathematicians Peter Borwein and Simon Plouffe, found a new formula for pi.  This formula facilitates the calculation of the n-th binary or hexadecimal digits of pi without having to calculate the preceding n-1 digits. This formula was discovered by a computer, using Bailey's implementation of Ferguson's PSLQ algorithm.  More recently (2001), Bailey and colleague Richard Crandall of Reed College have shown that the existence of this new formula has significant implications for the age-old question: Are the digits of pi random?

http://crd.lbl.gov/~dhbailey/dhbpapers/digits.pdf

What spurs people to do things like this? Do they ever have time for sex?
[:I]

For more about PSLQ -
http://oldweb.cecm.sfu.ca/projects/IntegerRelations/PSLQ.html
http://www.sciencenews.org/articles/20000212/mathtrek.asp
« Last Edit: 19/11/2005 01:26:58 by DoctorBeaver »


 

Offline Simmer

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Re: pi in the sky
« Reply #1 on: 19/11/2005 21:13:41 »
quote:
Originally posted by DoctorBeaver

More recently (2001), Bailey and colleague Richard Crandall of Reed College have shown that the existence of this new formula has significant implications for the age-old question: Are the digits of pi random?

What spurs people to do things like this? Do they ever have time for sex?
[:I]


LOL

Science is better than sex - with sex you just get more bleeding humans, whereas science produces knowledge!

On the other hand I have to agree that this bloke Sullivan sounds to be in dire need of a bit of binary fission!

"For me, great algorithms are the poetry of computation," Sullivan remarked in his CISE editorial. "Just like verse, they can be terse, allusive, dense, and even mysterious. But once unlocked, they cast a brilliant new light on some aspect of computing."

 

Offline Solvay_1927

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Re: pi in the sky
« Reply #2 on: 21/11/2005 00:44:46 »
No, mathematics is better than sex!

This is interesting, Eth, thanks for posting it.  (Not that I really understand the pdf paper, it's a bit heavy going.)  For a mathematician, the idea that the digits of pi are not really random, but have a pattern to them, is a bit like saying "there is a god".  Scary.


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Offline DoctorBeaver

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Re: pi in the sky
« Reply #3 on: 21/11/2005 08:37:42 »
Maybe I'm missing something, but I would have thought that if something can be calculated it cannot be random. There may be no apparent pattern, but that's a totally different thing. Randomness is just a sequence of numbers or events for which we have not yet discovered the pattern.
Your mentioning God brings to mind a website I stumbled upon. I think it was called godfaq.com, or similar. On the page was...

Q: Is there a god?
A: No

& that was all. Maybe I'm simple but I found that quite amusing.
« Last Edit: 21/11/2005 08:38:37 by DoctorBeaver »
 

Offline Sandwalker

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Re: pi in the sky
« Reply #4 on: 21/11/2005 12:58:23 »
Or

Q. Does god exist?

Ask him:

If he says yes, then you'll have to prove it!

If he says no, get him to prove it!

If he don't answer then its only hearsay.



I could not join any group that would have me as a member!
« Last Edit: 21/11/2005 13:00:16 by Sandwalker »
 

Offline DoctorBeaver

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Re: pi in the sky
« Reply #5 on: 21/11/2005 13:07:26 »
quote:
If he don't answer then its only hearsay.


I glanced at that quickly & thought it said "... it's only heresy"!
 

Offline DoctorBeaver

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Re: pi in the sky
« Reply #6 on: 21/11/2005 13:10:50 »
quote:
If he don't answer then its only hearsay.


Hang on... do you mean that thankfully-defunct pop group were deities!
[:0]

You could be right, though, because they couldn't answer unless it had been pre-recorded
« Last Edit: 21/11/2005 13:12:08 by DoctorBeaver »
 

Offline neilep

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Re: pi in the sky
« Reply #7 on: 21/11/2005 13:49:58 »
If you can provide a print out of their calculation of PI (ten billion digits eh ?),...........I am standing by with my abacus to check it.. ok ?...good !

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Offline Solvay_1927

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Re: pi in the sky
« Reply #8 on: 21/11/2005 22:38:07 »
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Offline neilep

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Re: pi in the sky
« Reply #9 on: 21/11/2005 22:51:46 »
Well it was a little tongue in cheek, but hang on *rattles abacus beads*.....that's ok !.....that's right !! *puts abacus away with a smug grin*

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Offline DoctorBeaver

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Re: pi in the sky
« Reply #10 on: 26/11/2005 14:39:20 »

 

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