Dan Bron wrote:
> operation to reveal the difference, because no difference exists.
> So, despite my little "proof":
>
>          (^._1)  -: 0 j.-1p1
>       0

   _1 -: ^ 0 j.-1p1
1
   (^._1) -: (^.^ 0 j.-1p1)
1

> I'm not a mathematician, but it seems to me that the right solution
> is to express  ^._1  as  0 j. (+,-) 1p1  .  But no one does. 

That approach gets into infinitely fat results in many common cases.
This, all too easily, can lead to a variety of obscure errors.

Simple is good.

-- 
Raul

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