On Mon, 06 Jul 2009, bill lam wrote:
> model of (!y)%(!x)*(!y-x) looks correct for integers.
> 
> _2 outof _5 is mentally calculated as

As pointed out by Brian, this should be 2 outof _5 and
_2 outof _5 should be 0

> 
>      _5 * _6 _* 7 * _8 * .... 
> ---------------------------------
>    2  *   _7 * _8 * ......
> 
> cancelling the common terms
> 
>      _5 * _6
> ------------------  which is 30,  agreed with 2 ! _5
>        2

         30
------------------- = 15
         2

!n is defined as the product of n * (n-1) * ...  until n decrese
to 1, for negative number such as _5, this never stop because it will
never reach 1, hence it is the infinite product,
  
  _5 * _6 * _7 * _8 * ......

Hope it is correct this time.

-- 
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