See
http://groups.google.com/group/comp.lang.apl/browse_thread/thread/cd4e29ed89881f8d/ad90c2c33436919b
from February 1991 for more information on
the atomic representation.

> Further reading of http://www.jsoftware.com/help/dictionary/d610.htm
> refers to: Bernecky, Robert, and R.K.W. Hui, Gerunds and 
> Representations,APL91, ACM. but I couldn't find the article.

See http://www.jsoftware.com/jwiki/Essays/Bibliography#Gerunds
and follow the link at that entry.



----- Original Message -----
From: Viktor Cerovski <[EMAIL PROTECTED]>
Date: Sunday, November 16, 2008 18:55
Subject: Re: [Jgeneral] Gerund
To: [email protected]

> 
> 
> Björn Helgason wrote:
> > 
> > I am trying to understand gerund and tie
> > 
> >    mean=.sum div count
> >    'sum div count'=.+/`%`#
> > [...]
> > 
> What's really curious about this is that verbs are represented 
> in prefix
> notation:
> 
>    sum
> ┌─┬───┐
> │/│┌─┐│
> │ ││+││
> │ │└─┘│
> └─┴───┘
> 
>    'F G' =: [EMAIL PROTECTED]@h/ ` f
>    F
> ┌─┬───────────────────┐
> │/│┌─────────────────┐│
> │ ││┌─┬─────────────┐││
> │ [EMAIL PROTECTED]
> │ │││ ││┌─┬─────┐│h││││
> │ │││ [EMAIL PROTECTED] ││││
> │ │││ │││ ││f│g│││ ││││
> │ │││ │││ │└─┴─┘││ ││││
> │ │││ ││└─┴─────┘│ ││││
> │ │││ │└─────────┴─┘│││
> │ ││└─┴─────────────┘││
> │ │└─────────────────┘│
> └─┴───────────────────┘
> 
> This is easily represented as the following LISP's S-expression:
> (/ . (((@ . (@ . (f . g))) . h).()))) === (/ ((@ @ f . g) . h))
> 
> adverbs and conjunctions appear at first positions of subexpressions,
> while in the case of trains at the first position is the length 
> of the
> bident
> or trident only, again in the prefix notation:
> 
> 'F G' =: (f g h a h a)`f
> 
> F  is then   (2.(f .(3 . (g . h . (3 . a . h . a)))))
> 
> 
> Further reading of http://www.jsoftware.com/help/dictionary/d610.htm
> refers to: Bernecky, Robert, and R.K.W. Hui, Gerunds and 
> Representations,APL91, ACM.
> but I couldn't find the article.
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