I did not mention this example previously as I thought you were  
seeking more non-trivial examples, but I find this useful...

      (}. - }:)               NB. Difference function of adjacent  
elements in a vector
      (}. - }:)^:n          NB. nth order difference function (ie 2nd  
differences, 3rd differences etc)

      (}.-}:)^:(i.4) 3 5 8 8 9 12 14
3  5 8  8  9 12 14
2  3 0  1  3  2  0
1 _3 1  2 _1  0  0
_4  4 1 _3  0  0  0

.../Rob Hodgkinson

On 04/02/2009, at 12:09 AM, John Randall wrote:

> Thanks to all, especially Roger, for the dyadic fork examples.
>
> I regard the tautologies as a bit meta, but I do like >. - <. .  I  
> had a
> more complicated example along the same lines.
>
> Before posing the question, I followed Oleg's advice in that I  
> eyeballed
> the dyads in J Phrases: almost all use [ ] @ @: or constant functions.
>
> Best wishes,
>
> John
>
> ----------------------------------------------------------------------
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