Here is what I ended with
recur =: 2 : '(, u)^:n'
fib =: [: +/ _2 {. ] NB. Raul's idea
arith =: + {:
e =: * {: % #
1&e recur 5 [ 1 NB. Note argument 1 not ''
1 1 0.5 0.166667 0.0416667 0.00833333
+/ 1&e recur 10 [ 1
2.71828
+/ _1&e recur 10 [ 1
0.367879
^ 1 _1
2.71828 0.367879
Raul's solution for e used t. and thus did not require knowledge of the Taylor
series for monadic ^
Kip Murray
Sent from my iPad
On Dec 23, 2012, at 9:00 PM, km <k...@math.uh.edu> wrote:
> Write a conjunction recur and verbs fib, arith, and e that do the following
>
> fib recur 5 [ 1 1 NB. five additional terms of Fibonacci sequence
> 1 1 2 3 5 8 13
> 0.5&arith recur 5 [ 3
> 3 3.5 4 4.5 5 5.5
> 1&e recur 5 [ ''
> 1 1 0.5 0.166667 0.0416667
> +/ 1&e recur 10 [ ''
> 2.71828
> +/ _1&e recur 10 [ ''
> 0.367879
> ^ 1 _1
> 2.71828 0.367879
>
> Conjunction recur helps create "recursive" lists.
>
> Kip Murray
>
> Sent from my iPad
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
----------------------------------------------------------------------
For information about J forums see http://www.jsoftware.com/forums.htm
