Sweet!

Alex

On Mar 12, 5:07 pm, William Stein <wst...@gmail.com> wrote:
> On Wed, Mar 11, 2009 at 5:23 PM, Alex Raichev <tortoise.s...@gmail.com> wrote:
>
> >> What would you want to do with QQbar in the Symbolic Ring?
>
> > Everything: differentiate functions with coefficients in QQbar,
> > integrate them, etc.
> >    I too don't know anything about Maxima or the new symbolics
> > package in preparation --Pynac is it?  So, i'm just standing on the
> > sidelines cheering "Go symbolics with QQbar! Go!"
>
> You can already work with QQbar and symbolic variables using pynac,
> which is in sage already:
>
> ----------------------------------------------------------------------
> | Sage Version 3.4, Release Date: 2009-03-10                         |
> | Type notebook() for the GUI, and license() for information.        |
> ----------------------------------------------------------------------
> sage: var('x,y',ns=1)
> (x, y)
> sage: a = QQbar(3).sqrt()
> sage: a
> 1.732050807568878?
> sage: f = x*a + y
> sage: f
> 1.732050807568878?*x + y
> sage: f^2
> (1.732050807568878?*x + y)^2
> sage: expand(f^2)
> 3*x^2 + 3.464101615137755?*x*y + y^2
> sage: expand(f^2).diff(x)
> 6*x + 3.464101615137755?*y
> sage: expand(f^2).diff(y)
> 3.464101615137755?*x + 2*y
>
> --
> William Stein
> Associate Professor of Mathematics
> University of Washingtonhttp://wstein.org
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