Joe Bogner wrote:
>  Can someone define or link to an explanation of [atomic representation]s?

>  It sounds like an important concept that is new to me.

The official documentation is light on atomic representations (a.r.s), and
aside from the overview at [1] (referenced earlier), I believe they're
supposed to be "self-explanatory".  I cringe to have to tell someone "we
didn't document that, you'll have to figure it out yourself", but in this
case the oversight is not too terrible; a.r.s are, actually, mostly
self-explanatory (for example, all the code, examples, and explanations I
posted in this thread are the results of experimenting with a.r.s and
related tools, over the years). 

That said, searching on this topic leads to a number of references to the
paper:

        Bernecky, R., and R.K.W. Hui, Gerunds and Representations, 
        APL91, APL Quote Quad, Volume 21, Number 4, 1991-08.  

The Bibliography on the Wiki is a great starting point for tracking down old
APL/J papers like these, and indeed it links to the ACM's digital library:

        http://dl.acm.org/citation.cfm?id=114055.114059

Which, unfortunately, is behind a paywall.  But, clicking through the "buy
article" link to the "rent this paper" ad, we can get a preview of the first
page.  Then, typing the first sentence into Google (in quotes) leads us to
an un-DRM'd copy, on Bob Bernecky's site:

        http://www.snakeisland.com/gerunds.htm

The PDF link is broken, but the PS link is functional.  So, downloading that
and running it through the free converter at: 

        http://ps2pdf.com/convert.htm

Gets us the original paper in its full glory. I love the internet!  

Email me privately if you just want me to send you the PDF directly; I don't
think the J Forums permit attachments.  Disclaimer: I haven't read the paper
yet (but the authors do enjoy some cachet, in my mind :)

-Dan 

[1]  Definition of 5!:1, i.e. atomic representations:
     http://www.jsoftware.com/help/dictionary/dx005.htm#1


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