I would suggest putting in more details about the actual
implementation. A suggestion would be to show a "fake" python session
showing the inputs and outputs of some of the functions you would
implement. See 
https://asmeurersympy.wordpress.com/2011/04/27/advice-for-future-prospective-gsoc-students/
(number 4) for an example of what I mean.

Aaron Meurer

On Tue, Mar 17, 2015 at 7:09 AM, Jennifer White <jcrw...@googlemail.com> wrote:
> For anyone who may be interested in this, I have now put submitted my
> proposal on Melange and have also put the most relevant parts on the SymPy
> Wiki. I would very much appreciate any comments or suggestions. I can't seem
> to find the suggested mentor for this project so any suggestions or
> improvements are very welcome
>
>
>
> On Tuesday, March 10, 2015 at 3:54:56 PM UTC, Aaron Meurer wrote:
>>
>> Those both sound like good ideas. I would look into what the
>> prerequisites for each are so you can see what is already implemented
>> and what needs to be implemented.
>>
>> Aaron Meurer
>>
>> On Tue, Mar 10, 2015 at 8:27 AM, Jennifer White <jcr...@googlemail.com>
>> wrote:
>> > Thanks for your response.
>> > The two areas that I had particular interest in were representing groups
>> > symbolically as you mentioned, and also potentially looking into
>> > generating
>> > Galois Groups. Do you think these would be good areas to start with?
>> > Obviously there is a huge amount that could be done in this area and I
>> > don't
>> > want to be unrealistically ambitious!
>> >
>> > On Monday, March 9, 2015 at 5:03:16 PM UTC, Aaron Meurer wrote:
>> >>
>> >> Looking at what SymPy can currently do and what GAP can do are both
>> >> good places to start.
>> >>
>> >> I personally would like to see SymPy be able to represent groups in
>> >> ways other than just as permutation groups, e.g., symbolically from
>> >> generators. This also opens up the possibility to have some parts of
>> >> the module that work with infinite groups.
>> >>
>> >> Group theory is huge, and you could work on it for 20 summers and
>> >> still have things to implement, so I would try to find some specific
>> >> thing that SymPy cannot do but other systems like GAP or Sage can, and
>> >> make a project out of that.
>> >>
>> >> Aaron Meurer
>> >>
>> >> On Thu, Mar 5, 2015 at 5:34 AM, Jennifer White <jcr...@googlemail.com>
>> >> wrote:
>> >> > Hi,
>> >> > I'm Jennifer, I'm a 3rd year Maths/Physics student at the University
>> >> > of
>> >> > Warwick UK. Last summer I interned at Google and now I'm looking to
>> >> > get
>> >> > involved in some Open Source work and potentially GSoC.
>> >> >
>> >> > SymPy caught my eye, and particular the suggestion of implementing a
>> >> > Group
>> >> > Theory module, because Algebra and Groups are my specialist areas in
>> >> > my
>> >> > degree and I thoroughly enjoy working with Python so I'm very
>> >> > interested
>> >> > in
>> >> > formulating a proposal for this.
>> >> >
>> >> > I am new to Open Source work and using Git but I am very enthusiastic
>> >> > about
>> >> > learning new things and I was wondering where would be a good place
>> >> > to
>> >> > start?
>> >> >
>> >> > I've taken modules in various aspects of Groups (most recently
>> >> > looking
>> >> > at
>> >> > Representation and Character Theory) so I do have a fairly good
>> >> > understanding of the underpinning theory here.
>> >> >
>> >> > I plan to thoroughly investigate SymPy's existing capabilities with
>> >> > regards
>> >> > to groups as PermutationGroups and some special groups (like
>> >> > Dihedral,
>> >> > Cyclic etc) are already implemented. I'm also going to have a look at
>> >> > what
>> >> > some existing systems like GAP can do and think about what the most
>> >> > fundamental functionalities that I need to get implemented are.
>> >> >
>> >> > Any advice or guidance is welcome
>> >> >
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