Summery of today's call discussion with Amit :

1. Confirming the idea to get integer solution using solveset, need to 
check domain= S.Integer . Call the diophantine methods (mostly need 
diop_solve method), this will return solution in terms of t0 . Now we can 
convert the solution tuple into Finiteset and return.

2. Similarly we can use solve_poly_system and bivariate.py methods for 
multivariate and transcendental equation solver . Extend the solveset to 
get solution for more than one symbols.

3. For simplified general solution of trigonometric equation need more 
discussion, https://github.com/sympy/sympy/pull/10898 and another idea that 
is : 
The number of `exp` terms more than number of solution will be more 
(union). If somehow we make single exp term then only one imageset that may 
give overall solution, that is general form.

--
Shekhar Prasad Rajak

On Thursday, 4 February 2016 00:40:34 UTC+5:30, Shekhar Prasad Rajak wrote:
>
>
> Hello, 
> my name is Shekhar Prasad Rajak.I want to discuss about Solver and 
> Solveset module
> https://github.com/sympy/sympy/wiki/GSoC-2016-Ideas#solvers .I am going 
> to apply for GSoc'16, so trying to know
> what sympy community expecting.
> Solveset came to Replace all internal solve() calls 
> https://github.com/sympy/sympy/issues/8711
> So I should focus on Solveset,right?
> I have some questions :
> 1.What are the main problems/issues in Solver and Solveset right now?
> 2.Is Solveset module done?If not,what are the main features, that should 
> be added ?
> I have seen Harsh's PR : https://github.com/sympy/sympy/pull/7523
> It seems, these need some works :
> -functions solvable by LambertW
>   -functions that can be recast as polynomials with a change of variables 
> this, for example; this can be 
>   factored out of solve  where multiple generators are handled
>   -use something like this : 
> https://github.com/sympy/sympy/pull/7523#issuecomment-62198981
>   to handle the XFAILed test test_real_imag_splitting1, this will be 
> handled in the set module.
>
> 3.This is list of Issues/ Discussions I found. 
>
> https://github.com/sympy/sympy/wiki/GSoC-2014-Application-Harsh-Gupta:-Solvers#relevant-issues-discussions-and-references
>   
> <https://github.com/sympy/sympy/wiki/GSoC-2014-Application-Harsh-Gupta:-Solvers#relevant-issues-discussions-and-references>
> but I don't know, whether they are solved or not.
> Issues which are still open in github repo, need solutions.
> There are also links of pdf and research papers, I am not sure whether 
> they are implemented or not.
>
> 4.Can we use python library multiprocessing,Synchronization for the faster 
> execution?one issue was opened for the same,which is closed now.But it is 
> always better to take less time.
>
>
> --
> Shekhar Prasad Rajak
>
>

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