On 11 Apr., 23:56, Ronan Lamy <[email protected]> wrote:
> Le lundi 11 avril 2011 à 15:42 -0600, Aaron S. Meurer a écrit :> On Apr 11, 
> 2011, at 2:25 AM, smichr wrote:
>
> > > Should `Integral(x, (x, 1, 2)) == Integral(y, (y, 1, 2))` be True? If
> > > so, smichr branch 2068b has a commit that makes this testing possible.
>
> >  This is a good question.  For one thing, == is not mathematical
> >  equality but exact equality, so there is no reason why it should have
> >  to be True.  So my initial response is that no, it should not.  

Intuitively I would say that they should only be equal if there
internal representation is the same. In this case it is not, because
they print differently. But, on the other hand we have:

>>> 2 == 2.0
True

So I tend to agree with Ronan.

> I think it should. x and y are bound symbols that have no meaning
> outside the integrals, so their identity should be completely
> irrelevant. In fact, they should probably be replaced with dummies upon
> instantiation of the Integral.

Are you proposing a behavior like

>>> Integral(x, x)
Integral(_x1, _x1)
>>> Integral(y, y)
Integral(_x1, _x1)

? (Where _x1 is an arbitrary dummy variable.)


Vinzent

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