5!:4 <'f'
  -- >.         
  +- %          
--+    -- [:    
  │    +- <.    
  L----+    -- +
       L----+- *
            L- -


-----Original Message-----
From: programming-boun...@forums.jsoftware.com
[mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Linda Alvord
Sent: Sunday, December 09, 2012 3:17 AM
To: programm...@jsoftware.com
Subject: Re: [Jprogramming] @: and capped fork (and puzzles)

 I have found that if you change a message to "rich text" before you paste
anything it will look better (I hope)

   5!:4 <'f'
  -- >.         
  +- %          
--+    -- [:    
  │    +- <.    
  L----+    -- +
       L----+- *
            L- -

Linda


-----Original Message-----
From: programming-boun...@forums.jsoftware.com
[mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Linda Alvord
Sent: Sunday, December 09, 2012 3:07 AM
To: programm...@jsoftware.com
Subject: Re: [Jprogramming] @: and capped fork (and puzzles)

Maybe some of you who are just beginning to learn J, and I who occasionally
has to "figure out what is going on" might find this helpful.

   f=:>. % [: <. + * -
   2.5 f 4
_0.4
   f 23
_0.0434783
   
   g=: 13 :'(>.y)%<.(+y)*-y'
   g 23
_0.0434783
  
   h=: 13 :'(x>.y)%<.(x+y)*x-y'
   2.5 h 4
_0.4


The surprise is that the tacit version is the same for f, g and h    

   f
>. % [: <. + * -
   g
>. % [: <. + * -
   h
>. % [: <. + * -


It requires you to "read" the same tree differently in a monadic and a
dyadic situation.
   
     5!:4 <'f'
  -- >.         
  +- %          
--+    -- [:    
  │    +- <.    
  L----+    -- +
       L----+- *
            L- -

Enjoy your day.  Linda
 

-----Original Message-----
From: programming-boun...@forums.jsoftware.com
[mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Linda
fiAlvord
Sent: Friday, December 07, 2012 8:55 PM
To: programm...@jsoftware.com
Subject: Re: [Jprogramming] @: and capped fork (and puzzles)

If you replace each expression with  @: with one without it:


    2.5 (>. % <. @: + * -) 4
_0.444444u
   2.5 (>. % <. @ + * -) 4
_0.444444

   2.5 (>. % <. @ (+ * -)) 4
_0.4
   2.5 (>. % <. @ (+ * -)) 4
_0.4  


Now you can see the difference in the removal of parentheses better.


    2.5 (>. % [: <. + * -) 4
_0.4
   2.5 (>. % <. @ + * -) 4
_0.444444
   2.5 (>. % <. @ (+ * -)) 4
_0.4
   2.5 (>. % <. @ (+ * -)) 4
_0.4
   2.5 (>. % [ <.@] + * -) 4
_0.4

When the dictionary was written, there was the cost of printing books and
articles to consider.  The forum provides the luxury of giving sufficient
examples that a concept can be presented from different perspectives which
may make understanding easier.

   f=:>. % [: <. + * -
   2.5 f 4
_0.4
  
   5!:4 <'f'
  -- >.         
  +- %          
--+    -- [:    
  │    +- <.    
  L----+    -- +
       L----+- *
            L- -

I find a tree helpful here.

Linda


-----Original Message-----
From: programming-boun...@forums.jsoftware.com
[mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Jose Mario
Quintana
Sent: Friday, December 07, 2012 7:11 PM
To: programm...@jsoftware.com
Subject: Re: [Jprogramming] @: and capped fork (and puzzles)

To Linda,

   2.5 (>. % [: <. + * -) 4
_0.4
   2.5 (>. % <. @: + * -) 4
_0.444444444
   2.5 (>. % <. @: (+ * -)) 4
_0.4
   2.5 (>. % [ <.@] + * -) 4
_0.4

NB. This is the example given in the Dictionary's entry for Cap.


To Dan,

I am glad that somebody is having fun.  These are very good questions and
the necessary clarifications give away some clues:

- re (Ca f p g) vs ([: f g) :   the equivalence fails because the
execution of sentences involving (Ca f p g) break down when applied to
(meaningful) identical arguments.

- re the interpreter "preferring" @: to [: in certain cases: actually, the
puzzle was to find "instances where the interpreter even favors atop (@)
over ([:)" but there are also instances where the interpreter favors (@:)
over ([:)  and, yes, this preferences are demonstrated in other contexts not
involving (13 :)  (I could not help to leave behind a red herring behind,
hence:  "(This is a tricky puzzle thought)").
:)

By the way, there is a bonus puzzle within the solutions.
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For information about J forums see http://www.jsoftware.com/forums.htm
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For information about J forums see http://www.jsoftware.com/forums.htm
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For information about J forums see http://www.jsoftware.com/forums.htm
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