I'm very fine with that (it might introduce unecessary nesting
though). With global assumptions I meant the current behaviour to
store the assumptions in the symbol/expression.

> If, on the other hand, we don't have global assumptions, I don't think
> you need to use 'assume(x in R)' at every step. All you have to do is
> to refine the final answer, e.g. one command.

Mathematically the first step is to define the symbols (n in N etc.).
Moving this to the last step seems counter-intuitive to me.

Vinzent

On 27 Jan., 12:23, Fabian Seoane <[email protected]> wrote:
> On Tue, Jan 27, 2009 at 12:53 AM, Ondrej Certik <[email protected]> wrote:
>
> > On Mon, Jan 26, 2009 at 2:34 PM, nico <[email protected]> wrote:
>
> > >> I think that could be something like a global assumption. But it's
> > >> true that I am still not convinced we need global assumptions.
>
> > > I agree with Vinzent about global assumptions.
>
> > Thanks for joining the discussion.
>
> > > If x refers to a real in a whole session, I think it would be really
> > > fastidious to use 'assume(x in R)' or something like that in every
> > > calculation.
>
> > That's right, but once we start to have anything global, it means that
> > you can never be sure what happens if you write abs(x**2) anymore,
> > becuase you simply don't know what global assumptions the user has.
>
> > If, on the other hand, we don't have global assumptions, I don't think
> > you need to use 'assume(x in R)' at every step. All you have to do is
> > to refine the final answer, e.g. one command.
>
> > Technically, I have nothing against global assumptions as long as they
> > are made explicit, e.g. if you call
>
> I think fredrik's idea to use the with statement offers a nice alternative
> to global assumptions:
>
> with Assume(x>0):
>     abs(x).refine() #although i preffer refine(abs(x))
>     something
>     bla bla bla
>
> Actually there is no such thing as global assumptions, but this prevents you
> from typing Assume(x>0) on every step
>
>
>
>
>
> > e.refine()
>
> > it would consult the global assumptions and refine the answer, but if
> > you type abs(x**2), I think it can be quite dangerous --- but I know
> > that a lot of other systems do that, so we might do that as well. In
> > anycase, as a first step, we should implement local assumptions using
> > refine() and when we get this working correctly, we may think if we
> > want to do this globally and automagically.
>
> > Ondrej
>
> --
> Fabian,http://fseoane.net/blog/
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