> To frame the problem, let us try to solve the equation x ** 2 == 1/2
> using sympy:
>
> >>> from sympy import Eq, solve, symbols, S
> >>> x = symbols("x")
> >>> solve(Eq(x**2, S(1)/2))
> [-sqrt(2)/2, sqrt(2)/2]
>
> that worked well, but actually we would like to write the last line simply as
>
> >>> solve(x**2 == 1/2)
This is essentially how this would be written in sagemath (a CAS
exposing various FOSS math software behind a unified python-based
interface). More about sagemath can be found at https://www.sagemath.org/
In sage, this would be written
solve([x**2 == 1/2], x)
The additional "x" is because sage also accepts things like
y = var('y')
solve([x**2 == y], x) # solve for x in terms of other variables
Large amounts of sage are written in python, including essentially the
whole symbolic mathematics stack. I'm personally content with using a
CAS like sage when I want to manipulate mathematics and keeping symbolic
math separate from my default python interpreter.
- DLD
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