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Topic: Brainstorming about STEM (was About Functions)
Replies: 49   Last Post: Jan 13, 2012 2:37 PM

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Joe Niederberger

Posts: 3,177
Registered: 10/12/08
Re: Brainstorming about STEM (was About Functions)
Posted: Jan 13, 2012 11:19 AM
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Just an interesting tidbit about pi...

Kirby mentions:
- ---------------------------------------------------
Look carefully at this expression for 1/pi by Ramanujan.

There is no symbolic chain of reasoning going on for many pages to
back it up, neither in the form of a derivation nor a proof.

http://worldgame.blogspot.com/2008/02/reflective-fragment.html
(graphic, middle of the column)
- ----------------------------------------

Unfortunately the link seems broken now. I was reminded of this when I came across this interesting formula that allows one to calculate digits of pi essentially starting at any place -- a remarkable formula whcich seems to have been around for over ten years now...

See: http://www.ams.org/samplings/feature-column/fcarc-pi

Interestingly, this formula was discovered by a sort of combination of human and computer algorithm (the PSLQ algorithm) as described in the article. (if the humans involved in the effort were not dreaming of Hindu goddesses, perhaps the alogorithm was.)

The resultant formula has been useful in looking at the question of whether the digits of pi are "random" in a certain sense:
http://www.eurekalert.org/features/doe/2001-07/dbnl-atd062002.php

Joe N


Date Subject Author
12/11/11
Read Brainstorming about STEM (was About Functions)
kirby urner
12/12/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/12/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/12/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/13/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/13/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/13/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/13/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/13/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/13/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/13/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/13/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/13/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/16/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/16/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/16/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/16/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/17/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/17/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/17/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/18/11
Read Re: Brainstorming about STEM (was About Functions)
Wayne Bishop
12/18/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/18/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/23/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/23/11
Read Re: Brainstorming about STEM (was About Functions)
Wayne Bishop
12/24/11
Read Re: Brainstorming about STEM (was About Functions)
Louis Talman
12/23/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/23/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/23/11
Read Re: Brainstorming about STEM (was About Functions)
Wayne Bishop
12/24/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/24/11
Read Re: Brainstorming about STEM (was About Functions)
Wayne Bishop
12/24/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/24/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/24/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/24/11
Read Re: Brainstorming about STEM (was About Functions)
Wayne Bishop
12/24/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/25/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/25/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
1/13/12
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
1/13/12
Read Re: Brainstorming about STEM (was About Functions)
kirby urner

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