On Tue, Mar 21, 2017 at 4:28 PM Aaron Tresham <[email protected]> wrote:

> If I run x^2/x in SMC, the output is x.
>

That is what is really going on here. Maxima isn't relevant at all. By the
time maxima sees your input, x^2/x has already beeb simplified to c.




> That is fine in some contexts (although the user should mentally add "x
> not equal to 0").
>
> I'm dealing with rational functions with holes, and Sage is eliminating
> the hole. Of course, it would be very nice if my students would notice the
> hole themselves.
>
> Aaron
>
>
> On Tuesday, March 21, 2017 at 12:52:07 PM UTC-10, William Stein wrote:
>
> What happens if you just type x^2/x ?
>
> On Tue, Mar 21, 2017 at 3:35 PM Aaron Tresham <[email protected]> wrote:
>
> Does anyone know if there is a similar group to discuss issues with
> Maxima? (I think that's where my problem lies).
>
> When I do something like:
>
> solve(x^2/x==0,x)
>
> I expect no solutions, but Sage gives me one solution, x==0. I'm assuming
> Sage uses Maxima here, and Maxima simplifies the fraction before solving
> (and fails to check afterwards). I can catch things like this myself, but
> I'm not sure my students would notice (especially if a hole is hidden
> inside a complicated rational function).
>
> Thanks,
> Aaron
>
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