Technically speaking, this is about insert rather than key.

It's often the case that  a F b and  F/ a,:b give the same results.

(There are some cases where the result would be different for a generic F
but which are the same for a specific F, but these are cases where the
specific F that gives the same results is ignoring the difference in the
arguments.)

-- 
Raul

On Fri, Nov 18, 2011 at 6:10 AM, Marc Simpson <[email protected]> wrote:

> Hi all,
>
> Reading through Roger's essay on the key adverb
> (http://www.jsoftware.com/jwiki/Essays/Key), I thought it might be
> useful to add a demonstration of the f//./ usage (found, for example
> in Eugene McDonnell's discussion in "At Work and Play in the Fields of
> J", http://www.jsoftware.com/papers/eem/AWPFJ/10.htm)?
>
> Recreating the data in the current example,
>
>   y =. 6 5 9 2 4 9 0 7 0 4 6 8 3 8 1 2 8 0 0 2
>   a =. 4.6 5.5 7.9 5.2 5.4 3.9 6 5.7 6 9.4 4.6 7.8 1.3 1.8 5.1 9.2 7.8 6 9
> 6.2
>
> the following equivalences could be demonstrated,
>
>   (~.y) ,: y +//. a
>  6   5    9    2    4  0   7    8   3   1
> 9.2 5.5 11.8 20.6 14.8 27 5.7 17.4 1.3 5.1
>   (~.y) ,: +//./ y,:a
>  6   5    9    2    4  0   7    8   3   1
> 9.2 5.5 11.8 20.6 14.8 27 5.7 17.4 1.3 5.1
>
> and perhaps broken down a little (without the nub of y lamination) to
> show what's going on more clearly:
>
>   y +//. a
> 9.2 5.5 11.8 20.6 14.8 27 5.7 17.4 1.3 5.1
>   +//./ y,:a
> 9.2 5.5 11.8 20.6 14.8 27 5.7 17.4 1.3 5.1
>
> It might also be worth pointing out that f//./ is handy when you have
> a matrix rather than two vectors.
>
> Best,
> M
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>
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