Joe,

I am not sure but I think the following search will help.

site:jsoftware.com/help/ atomic representation


On Sun, Nov 3, 2013 at 1:34 PM, Joe Bogner <[email protected]> wrote:

> Can someone define or link to an explanation of a.r.s? It sounds like an
> important concept that is new to me.
> On Nov 3, 2013 11:38 AM, "Dan Bron" <[email protected]> wrote:
>
> > Lest my messages are taken as idle pun-ditry and Raul decides I need a
> puns
> > in the face, let me try to add some value.
> >
> > I wrote:
> > >       knockOut =:  ("_) (`'')
> > >       strip    =:  ((<":noun)`) (({.@>@{:)`) (@.(0; 1 2))
> > >       prep     =:  knockOut strip
> >
> > Raul responded:
> > > And, of course, with these definitions:
> > >
> > >    strip
> > > |domain error
> > >
> > > I'm not sure I can take this much puns.
> >
> > I take, from Raul's message, that he was inspecting 'strip', most likely
> to
> > see how it works.  Let me try to shed some light.
> >
> > The adverb 'strip' takes an atomic representation as input, and produces
> > another, related a.r. as output.  Specifically, it strips out the "_
> > inevitably added in "knockOut", leaving the unadulterated a.r. of the
> > original input.
> >
> > It achieves this by creating an intermediate a.r., which is explicitly
> > marked as a noun, tacking the a.r. of a specific verb in front of it (the
> > one that will strip off the "_) and executing that verb-noun bident,
> > invoking the "monad" parser rule, and causing the verb to be applied to
> the
> > noun.
> >
> > After that, the concepts are straightforward J.  The verb's input is the
> > a.r. of a noun, which is simply a boxed structure. Because we've
> normalized
> > the input, that boxed structure will always have the form '"';< something
> > ;<'0';_  (which is how something"_ is represented as an a.r.). So, the
> verb
> > simply traverses the boxed structure, and pulls out the 'something' (i.e.
> > drops the "_).
> >
> > Since a.r.s are recursive, and we pulled 'something' out of an a.r., then
> > it, too, is an a.r. .  Specifically, 'something' is the a.r. of the
> > original
> > input, be it a noun or a verb.  QED.
> >
> > Procedurally, the adverb breaks down into the following steps, in order:
> >  (0) input
> >
> >  (1) ("_)  : convert nouns and verbs to verbs of infinite rank.
> >
> >  (2) (`'') : generate a.r. of (1), which has a little more
> >      structure than (0), but the a.r. of (0) necessarily appears
> >      in the a.r. of (1)
> >
> >  (3) ((<":noun)`): tack (<,'0') onto the result of (2), creating
> >      a 2-element gerund
> >
> >  (4) (({.@>@{:)`): tack a de-ornamentation verb onto the result
> >      of (3), creating a 3-element gerund
> >
> >  (5) (@.(0; 1 2)): execute the 3-element gerund as V NI where V
> >      is the verb tacked on in (4), and NI is the atomic composition
> >      of (2) and (3); that is, the a.r. produced in (2), marked up
> >      with (3) to say "treat me [NI] as a noun, so when I'm executed,
> >      produce identically (2), rather than the object it represents
> >      (which, of course, is (1))".
> >
> > The only real trick here, besides 'knockOut', is the RHA to @. , which
> > isolates and composes N (i.e. ":0, the noun marker) with I (the a.r. of
> > input"_), producing NI, the a.r. of the a.r. of input"_ . That is,
> > V`N`I@.(0; 1 2) produces V,<N,I or V,NI and executes it as a train: v ni
> > (where V is the a.r. of v and NI is the a.r. of ni ).
> >
> > -Dan
> >
> >
> > ----------------------------------------------------------------------
> > For information about J forums see http://www.jsoftware.com/forums.htm
> >
> ----------------------------------------------------------------------
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>



-- 
(B=) <-----my sig
Brian Schott
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