Am 07.01.2015 um 08:48 schrieb Harsh Gupta:
* `solveset` can return infinitely many solutions. For example solving for
`sin(x) = 0` returns {2⋅n⋅π | n ∊ ℤ} ∪ {2⋅n⋅π + π | n ∊ ℤ} Whereas `solve`
only returns [0, π]
Awesome.
Is it able to simplify to {n⋅π | n ∊ ℤ} ?
(Though I guess you don't always want that.)
Is that result a data structure, or a string?
(A data structure would be preferable since it could be used as input
for more activities.)
* There is a clear code level and interface level separation between
solvers for equations in complex domain and equations in real domain. For
example solving `exp(x) = 1` when x is complex returns the set of all
solutions that is {2⋅n⋅ⅈ⋅π | n ∊ ℤ} . Whereas if x is a real symbol then
only {0} is returned.
Sweet.
It would be nice if this were extensible to more domains, such as
integers, vectors etc.
I can imagine things like a linear algebra solver that can find the
quaternion that reproduces a given point-to-point mapping. That would
make SymPy useful for the 3D graphics crowd, even application
programmers hit questions like "at what point on his route will A be
able to see B"; the usual graphics engines cannot answer parametrized
questions like that, they need concrete points A and B.
I don't know whether this makes sense with the current architecture, and
I don't have the time nor enough mathematical background to implement
any of this. It would just be a nice enabler if people come along who'd
like to work on a linalg solver. Or a diophantine solver. Or a solver
for whatever other domains are out there (I bet there's a host of them).
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