On Wed, Feb 19, 2014 at 11:34 AM, Mike Stay <metaweta@gmail.com> wrote:
People tended to rate formulae they understood more highly. I think that I would have rated the BBP formula for pi quite low until someone pointed out that it allows calculating any hex digit of pi without the previous ones. Then I'd be fascinated.
Is there a geometric way to see why the formula works or why the constants have the values they do?
Are you referring to this formula: https://24.media.tumblr.com/727f15001c4bc49b54bbb6abb1d9c868/tumblr_n19mynFg... Personally I find it quite nice, even without knowing that with it you can compute any hex digit of pi without the previous ones. But I did not see it on the list of 60 formulas presented in the article. I agree, that knowing more about a formula enhances ones feeling about it.
On Wed, Feb 19, 2014 at 10:09 AM, David Makin <makinmagic@tiscali.co.uk> wrote:
I suspect the same would apply to elegant programming - e.g. when someone first deduces or is introduced to a binary search algorithm.....
On 19 Feb 2014, at 16:44, George Hart wrote:
Funsters,
Perhaps not surprising to mathematicians, functional MRI shows that beautiful equations trigger the same physiological response in mathematician's brains as beautiful art or music:
http://www.ucl.ac.uk/news/news-articles/0214/13022014-Mathematical-beauty-ac...
George http://georgehart.com/
P.S. My latest Mathematical Impressions video is on the beautiful
math/music of change ringing:
https://www.simonsfoundation.org/multimedia/mathematical-impressions-change-...
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