You might find the following link of interest -

https://github.com/pygae/galgebra

On 4/3/20 5:31 PM, Aaron Meurer wrote:
Take a look at how the class MatAdd is implemented. Note that is isn't
a trivial problem to solve, and there are still ongoing discussions on
the best way to do it (see for instance
https://github.com/sympy/sympy/pull/18769).

Aaron Meurer

On Fri, Apr 3, 2020 at 3:30 PM Davide Sandona' <[email protected]> wrote:
A few days ago I opened an issue requesting information about vector 
expressions [1]. Thanks to covid lock-down I had enough free-time to develop 
something. In the issue it was suggested that I could open a pull-request, but 
before doing that I would like to solve a problem I'm having a hard time 
comprehending. This is the link to the repo I'm working on [2].

The problem is with the class VecAdd; ideally, I would like it to subclass the class Add, 
so that it would "simplify" the arguments. However, if I do that, the 
evaluation of n-derivatives would return instances of the class Add!
I checked the output of  _eval_derivative_n_times which is of type VecAdd, 
however it must be intercepted by some other function and finally it returns an 
instance of the class Add. I absolutely need it to return an instance of VecAdd.

Can someone help me understand what the problem is and suggest corrective 
actions?

Thanks!

[1] https://github.com/sympy/sympy/issues/18987
[2] https://github.com/Davide-sd/sympy_vector_expressions

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