Something odd is happening here.  I just noticed that if we define v
as:

v = vector(QQ,[1,1])

then there are no problems, even though the type(v) is the same as in
your code.  I don't understand how the same type of object, with the
same values, would have different coercion behavior.

-Marshall

On Dec 19, 8:35 am, Jan Groenewald <j...@aims.ac.za> wrote:
> Hi
>
>
>
> On Fri, Dec 19, 2008 at 06:29:41AM -0800, daveloeffler wrote:
>
> > On Dec 19, 1:35 pm, Jan Groenewald <j...@aims.ac.za> wrote:
> > > The core is this:
>
> > > > > >   sage: var('t')
> > > > > >   t
> > > > > >   sage: type(v)
> > > > > >   <type 'sage.modules.vector_rational_dense.Vector_rational_dense'>
> > > > > >   sage: type(v*t)
> > > > > >   <type 
> > > > > > 'sage.modules.free_module_element.FreeModuleElement_generic_dense'>
>
> > > I think v*t should have stayed the same type as v.
>
> > I disagree, since t is not a rational number -- it's a symbolic
> > variable -- so v*t has no right to be a Vector_rational_dense object.
> > The problem is that Sage isn't coercing the Vector_rational_dense
> > object A*v into a Vector_symbolic_dense in order to make sense of "A*v
> > - v*t", which it should do automatically.
>
> Yes, that does sound better.
>
> Jan
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