Martin wrote:

as you might have noticed, I am trying to improve the syntax and semantics
> for symbolic math in Python. Until now, I have to say, my ideas were not
> that well received, but I learned from the discussion and maybe this time I
> come up with something people like.
>

For about 10 years I've used PARI/gp for computer algebra, mainly for
integer linear algebra and polynomials. One day I might use its number
theory features.
http://pari.math.u-bordeaux.fr/

Lately it's acquired good Python bindings, and most likely for my next
project I'll start using them.
https://pari.math.u-bordeaux.fr/Events/PARI2019/talks/jeroen.html
https://pypi.org/project/cypari2/
https://cypari2.readthedocs.io/en/latest/

Regarding semantics, I'm very happy to go along with PARI/gp. This is in
part because of its deep roots in computational number theory and the
community it has around it.

See also: Integer Factorization Software: PARI/GP, Mathematica, and SymPy
https://dzone.com/articles/integer-factorization-software-parigp-mathematica

Regarding syntax, I'd be pleased to see a paritools package that makes it
easier to use the cypari2 bindings for common purposes. This perhaps could
become part of sympy. It's also worth looking at sage.
https://doc.sagemath.org/html/en/reference/libs/sage/libs/pari.html

This is what I would like. Other people will most likely have different
wishes for improving symbolic math in Python.

-- 
Jonathan
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