I can't figure out a pleasing way to do this. You need 4 things: k,s,y,t. 3 of these change. So, you need to join them as a boxed list and then iterate, but you can't iterate until they stop changing, because the iteration number always changes. t also changes. Yuck.

Henry Rich


On 12/22/2013 3:27 AM, km wrote:
Thanks, Raul, for a cool solution.  I'm still interested in tacitly terminating 
a series when its partial sums stop changing.  --Kip

Sent from my iPad

On Dec 22, 2013, at 12:34 AM, Raul Miller <[email protected]> wrote:

   ^ 2
7.38906
   (%!i.40) p. 2
7.38906
   (^ =  (%!i.40)&p.) 0j1p1
1

I'd just use ^

--
Raul

On Sat, Dec 21, 2013 at 5:43 PM, km <[email protected]> wrote:
Verb  exp  below uses the series for monadic  ^  to calculate  ^ y .  Can you remind me 
how to do  exp  tacitly?  You may omit the  "clean"  part.  Verb  clean  
replaces tiny real numbers by 0 .

   clean =: (* *!.1e_14@|)"0&.+.

   exp =: 3 : 0
  os =. 0
   s =. 1
   k =. 0
   t =. 1
while. s ~: os do.
  os =. s
   k =. >: k
   t =. t * y % k
   s =. s + t
end.
clean s
)

   exp 1
2.71828

   ^1
2.71828

   exp 0j1p1
_1

   ^ 0j1p1
_1j1.22465e_16

   (^0j1p1) = exp 0j1p1
1

   VERSION  NB. iPad
1.3 5

--Kip Murray

Sent from my iPad

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