Don't really know at this stage, I am not familiar enough with that area
of sage to say whether or not your "a" will be defined on RR or a standard
numpy real or something else.

Francois

On Thu, 02 Oct 2014 17:35:49 ref...@uncg.edu wrote:
> Francois,
> 
> Thank you for your reply.  That's what I figured also, but where is the
> difference between the two codes?
> 
> Thanks,
> 
> Rick
> 
> On Thursday, October 2, 2014 8:32:45 PM UTC-4, François wrote:
> > On Thu, 02 Oct 2014 17:28:15 ref...@uncg.edu <javascript:> wrote:
> > > When comparing the digits though, it appears that only around the first
> > 
> > 16
> > 
> > > or so digits are the same.
> > 
> > That's were you can infer that something has been converted or left
> > as a double rather than a mpfr real number.
> > 
> > Francois

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