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Re: Ugly maths and beautiful maths.

by johnjo <a1jrj@[EMAIL PROTECTED] > May 22, 2008 at 05:23 AM

Frederick Williams wrote:

> Someone[1] described this
>
>    1/pi = (sqrt(8)/9801) sum_0^infty ((4n)!/(n!)^4)(1103 +
> 26390n)/386^{4n}
>
> as an "aesthetic result" by which I assume they mean aesthetically
> pleasing.  To me it looks quite ugly: 9801, 1103, 26390 and 396 all have
> a horribly random look about them.
> snip
>
> --
> Remove "antispam" and ".invalid" for e-mail address.

This is one down to Ramanujan
cf <http://www.cecm.sfu.ca/organics/papers/borwein/paper/html/
node3.html#SECTION00010010000000000000>

Who is a hero.
But some of his results are more striking (as my mother would have
said) than good looking.

9801 and 1103 may have been subsequent Hardy taxi numbers.... :)

HTH
JJ
 




 2 Posts in Topic:
Ugly maths and beautiful maths.
Frederick Williams <&q  2008-05-22 12:50:43 
Re: Ugly maths and beautiful maths.
johnjo <a1jrj@[EMAIL P  2008-05-22 05:23:08 

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