I wrote:
>          #.  <==>  2&$: : (p.~ |."1)   NB.  ambivalent, for all scalar x

Because an equation's an equation:

           p.  <==>  (#."0 1 |."1)~      NB.  dyadically, for all open   x  

Turns out all a polynomial's really just a base-converter, under the covers ;)

-Dan
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