What I understood about BigUnion and BigIntersection from here 
<https://github.com/sympy/sympy/issues/9815>. BigUnion for set of 
finitesets will work similar to union but for set of imagesets (infinite 
sets) we will be returning a unified solution.

say for eg: [2*n , 2*n - 1 for n in Integers] passing it to Bigunion will 
yield something like [n for n in Integers] and BigIntersection would yield 
EmptySet.

See https://github.com/sympy/sympy/issues/9815#issuecomment-373978030

In solveset when union of imagesets are returned we can apply big union to 
get the unified result (probably could help the _union of imagesets once 
its implemented). 

IndexSet <https://en.wikipedia.org/wiki/Index_set> will be implemented to 
get access to set of sets through indexing, a number of sets will be passed 
as parameters and an instance of IndexSet will be returned with indices 
mapped to each of the sets in the sets. This way we can get access to a set 
of sets. 

>>> X = IndexSet(FiniteSet(1, 2, ,3), FiniteSet(4, 5)); X
>>> X[0]
FiniteSet(1, 2 ,3)
>>>X[1]
FiniteSet(4, 5)


On Friday, March 23, 2018 at 5:44:13 AM UTC+5:30, Aaron Meurer wrote:
>
> Regarding BigUnion, what is the point of having it and IndexSet that 
> can only represent a finite number of sets? Union can already do this 
> without the indirection. I'm also unclear where this will be needed 
> for solveset. 
>
> Aaron Meurer 
>
> On Thu, Mar 22, 2018 at 4:38 PM, Yathartha Joshi <[email protected] 
> <javascript:>> wrote: 
> > Sorry I just gave the access to amit kumar, I have changed it, please 
> have a 
> > look. 
> > 
> > Thanks! 
> > 
> > 
> > On Friday, March 23, 2018 at 1:54:31 AM UTC+5:30, Aaron Meurer wrote: 
> >> 
> >> When I click on that link it says I don't have access. 
> >> 
> >> I recommend starting your proposal on 
> >> https://summerofcode.withgoogle.com and linking the draft proposal 
> >> there. That will make it easier to find in the future. 
> >> 
> >> Aaron Meurer 
> >> 
> >> On Thu, Mar 22, 2018 at 4:01 PM, Yathartha Joshi <[email protected]> 
> >> wrote: 
> >> > I have created a proposal here. It would be great if you could review 
> it 
> >> > and 
> >> > suggest any changes. 
> >> > 
> >> > Thanks in advance. 
> >> > Yathartha 
> >> > 
> >> > On Thursday, March 22, 2018 at 11:08:27 PM UTC+5:30, Yathartha Joshi 
> >> > wrote: 
> >> >> 
> >> >> 
> >> >> On Thursday, March 22, 2018 at 2:26:18 PM UTC+5:30, Amit Kumar 
> wrote: 
> >> >>> 
> >> >>> Hey Yathartha, 
> >> >>> 
> >> >>> That sounds good. 
> >> >>> 
> >> >>> Cheers! 
> >> >>> Amit 
> >> >> 
> >> >> 
> >> >> Okay! Thanks. 
> >> >> 
> >> >> Also, I was thinking was making absolute value expressions to work 
> in 
> >> >> complex domain. I found a few equations that have complex solutions: 
> >> >> 
> >> >> 
> http://www.wolframalpha.com/input/?i=solve(abs(x-2)+%2Babs(x)+-+7,+x) 
> >> >> http://www.wolframalpha.com/input/?i=solve(abs(x-2)+-2+,+x) 
> >> >> 
> >> >> 
> >> >> 
> http://www.wolframalpha.com/input/?i=solve(abs(x-2)+%2Babs(x+%2B4)+-+16,+x) 
> >> >> 
> >> >> I was trying to figure out a possible way to solve this, but I am 
> >> >> facing 
> >> >> difficulty in getting to the solution. I tried asking the question 
> >> >> here, and 
> >> >> got the only possible way. Can you provide me with some suggestions 
> >> >> regarding this? Is there a specific reason as to why solveset (and 
> even 
> >> >> solve) is not made to solve in complex domain. 
> >> >> 
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