Thanks for the matplotlib recipe! I just had the same problem with
plot_vector_field not accepting coordinate functions of two arguments.
I went ahead and created an issue: 
http://trac.sagemath.org/sage_trac/ticket/2381

- Eric

On Feb 17, 10:19 am, "Hector Villafuerte" <[EMAIL PROTECTED]> wrote:
> Hi,
> I would like to plot the gradient (i.e. vector field) of functions
> such as  f(x,y) = exp(-(x^2 + y^2)); in this case:
> grad(f(x,y)) = vector([ -2*x*exp(-(x^2 + y^2)), -2*y*exp(-(x^2 + y^2)) ])
>
> Initially I tried with plot_vector_field, but as of now it just "takes
> two functions of one variable". For my second attempt I used
> matplotlib, as indicated below (also, see attached plots).
>
> So my question: is there a SAGEly way to plot this type of vector fields?
> Thanks in advance!
> --
>  Hector
>
> sage: %python
> sage: from pylab import *
> sage: X,Y = meshgrid( arange(-2,2,.2),arange(-2,2,.2) )
> sage: U = -2*X*exp(-(X*X + Y*Y))
> sage: V = -2*Y*exp(-(X*X + Y*Y))
> sage: figure()
> sage: Q = quiver( U, V)
> sage: l,r,b,t = axis()
> sage: dx, dy = r-l, t-b
> sage: axis([l-0.05*dx, r+0.05*dx, b-0.05*dy, t+0.05*dy])
> sage: savefig(DATA+'quiver.png')
>
>  quiver.png
> 96KViewDownload
>
>  3d.png
> 1020KViewDownload

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