*>Sun Jun 7 01:12:43 HKT 2009 you wrote:
*

> I'd still really like to see an essay explaining dyadic left and right
> (and all of their uses) in verbose detail!  (I think this is a really

> important issue for beginners to the language, since so much seems to
> depend upon it in J programming.)


Your postings recall my own difficulties when learning J.
Maybe seeing the explicit form of the two primitives will help:
   left=: 3 : 0  NB. [
y
:
x
)
   right=: 3 : 0  NB. ]
y
:
y
)

These two verbs represent a notion that is fundamental to tacit programming.
Tacit programming is the principal original idea in the language.
The "Introduction to J" is well worth reading:
http://www.jsoftware.com/help/dictionary/intro.htm
It is an approachable text.

Some of the documents mentioned on
http://www.jsoftware.com/jwiki/Essays/Bibliography
are also instructive and go some way to answering your plea  for more
accessible material.
But you should note that the ACM and IBM sites are no longer freely
accessible.
(Perhaps this is something that JSoftware can resolve?)
Regards
David
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