a more hollistic explanation,

Most conjunctions, and including the & and @ famillies, produce verb phrases 
when bound.  A verb or verb phrase can/has to produce different 
results/computations depending on monadic or dyadic cases.  In u@v, u is always 
monadic, and v is ambivalent.  in u&v, v is always monadic, and u is the 
valence of the verb phrase.

A missing "composing conjunction" in J is ([ u v)  where u is always dyadic and 
v is ambivalent.  But the fact that it is easy to write as a fork suggests a 
dedicated conjunction is not needed.


On Saturday, October 23, 2021, 03:30:09 p.m. EDT, Raul Miller 
<[email protected]> wrote: 





https://www.jsoftware.com/help/dictionary/d631.htm

  x u&.v y ↔ vi (v x) u (v y)

Here:
  u is +
  v is *:
  vi is %: (or *:inv)
  x is 3
  y is 4

So these are equivalent
  3 +&.*: 4
  %: (*:3) + (*: 4)
  *:inv (*:3) + (*: 4)

I hope this makes sense.

-- 
Raul

On Sat, Oct 23, 2021 at 3:03 PM More Rice <[email protected]> wrote:
>
> Hello,
>
> (Sorry for the previous empty email - web page problem)
>
> please excuse another newbie question ...
>
> Ref: https://code.jsoftware.com/wiki/Vocabulary/starco
>
>    pythag =:  +&.*:
>    3 pythag 4
> 5
>
> + operated dyadically and acted on both x and y - ok.
>
> but how does *: know to act on x as well?  Isn't pythag using the monadic
> definition of *: to square y only?
>
> so magical ...
>
> thank you for the pointer and have a great weekend.
>
>
> Maurice
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm

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