> >  >  We have real(x) is just x in Sage:
>
> >  >  sage: t = real(x)
> >  >  t
> >  >  sage: t
> >  >  x

Wow, that is a problem, all right.

Is there a workaround not involving defining CDF or another ring at
this time?  (I assume the answer is no, but I hope the answer is
yes.)  I want to use things like
sage: f(x)=x-real(x)
sage: parametric_plot( (real(f),imag(f)), 0, 1)
and then just change f to get a different plot, or even substitute a
parametrization in for x (like exp(i*t)); currently I get an empty
graph, of course.  I tried .real(), but apparently that also calls
Maxima.

> >  >  Bill Furnish is going to spend the whole summer  full time (funded by 
> > Google!)
> >  >  working on rewriting the symbolic calculus backend from scratch in 
> > Cython
> >  >  (he's already working on this, by the way), and the hope is that
> >  >  then he'll be able to fix many such issues.  Bill -- comments?

Yeah, that is great news, and sounds extremely cool - well done!

- kcrisman
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