On Wed, Mar 11, 2009 at 5:23 PM, Alex Raichev <[email protected]> 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 Washington
http://wstein.org

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