On Fri, 1 Dec 2006, Roger Hui wrote:

> In SATN-42 (Sharp APL Technical Notes), 1982-04-01,
> Ken Iverson described several uses monads derived
> from the dot operator.  Translated from APL into
> J, these are:
>
> +./ . *.
> + / . *.
> <./ . +
> >./ . +
> <./ . *
> >./ . *
> <./ . >.
> >./ . <.

Many thanks for the reference.  Have you any pointers as to
how the above are used/can be useful? - I'm having a tough time
understanding them!  Needless (& sad) to say I couldn't find
SATN-42 available anywhere.

> Computation of f/ .g can be sped up for f and g
> in domains which permit Gaussian elimination.
> This has not been done in the current
> implementation.

I hope that general Gaussian elimination isn't too high up your list
of priorities!  Fortunately here the end-user, i.e. myself, can take
advantage of J's existing Gaussian elimination because

   ((~:/ . *.)  -:  (2 | +/ . *))  A   NB. A is square 0-1 matrix
1

However, this won't work for a general finite field GF(q), where
multiplication is not the same as  q&|@*

        - Regards, Ewart

J.E.H.Shaw   [Ewart Shaw]      [EMAIL PROTECTED]    TEL: +44 2476 523069
  Department of Statistics,  University of Warwick,  Coventry CV4 7AL,  UK
  http://www.warwick.ac.uk/statsdept            http://www.ewartshaw.co.uk
Will read usenet posts up to the first insult (which may be in the Subject)

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