OK, the inverses of 9-12&o. are reasonable, as good as any.
But the inverses of _9-_12&o. should be, respectively,

_9&o.  _10&o.  _11&o.@:-  (or 0j_1&*)    0j_1&[EMAIL PROTECTED] 

Henry Rich

> -----Original Message-----
> From: [EMAIL PROTECTED] 
> [mailto:[EMAIL PROTECTED] On Behalf Of John Randall
> Sent: Thursday, June 29, 2006 10:08 PM
> To: Beta forum
> Subject: Re: [Jbeta] _11&o. is not the inverse of 11&o.
> 
> Henry Rich wrote:
> > The interpreter thinks
> >
> >    11&o. b. _1
> > _11&o.
> >
> > but it ain't so.  Circle functions 9-12 have no inverse that
> > I can see.  Circle functions _9-_12 do, but they're not
> > the functions 9-12&o. that the interpreter uses.
> >
> 
> Let f be the restriction of 11&o. to the reals.  Then y-:_11&o. f y . 
> Similar restrictions to principal domains are presumably made in the
> others.
> 
> Best wishes,
> 
> John
> 
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