I wrote:
>  x #. y  is  x p.~ |. y  for scalar  x  and 
> non-scalar (rather, non-singleton)  y  . 

While writing this up for PrimitivePrimitives, I realized the correspondence is 
even stronger than I stated (I had confused the
restrictions on the domain of  p.  with those of my proposed inverse).

The equivalence:

           #.   <==>   2&$: : (p.~ |."1)

holds everywhere in the monad, for scalar  x  in the dyad, up to floating point 
precision.  I believe.

-Dan

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