Convolution of a size-one pulse with itself

[Mark Wiebe]

I've tried a few different ways to get sympy to integrate a convolution of a pulse from -0.5 to 0.5 with itself, but everything I try produces exceptions or what looks like incorrect results. I've got a gist showing a couple of my attempts at http://nbviewer.ipython.org/gist/mwiebe/48bed4e5d52335c47e25 . I worked this out with pen+paper, but wanted to show how nicely one could use sympy to derive it, only to find that everything I try fails. Any suggestions for this, or is this something I shouldn't expect sympy to be able to do?

Thanks,
Mark

[Matthew Rocklin]

Hrm, that is unfortunate.  Hopefully the issue helps.  I've taken the liberty of renaming it to terms that I think will stand out in Sympain's minds,

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[Mark Wiebe]

Wikipedia has a nice rendered .gif which shows this convolution visually:

https://upload.wikimedia.org/wikipedia/commons/6/6a/Convolution_of_box_signal_with_itself2.gif