I would be more interesting to me to learn some cool algorithm and implement 
it, though I don't know anything about Quantum Mechanics.  :)

I could also very easily extend my project from last year and spend the summer 
implementing ODE solvers.  There are enough methods not implemented to fill 
several summers, but I would have to learn them on my own, since I haven't 
taken any ODE courses since last Spring and I already implement most of what I 
learned there.  

But, ideally, I would like to apply what I have learned in Abstract Algebra, 
and also it would be better to go this way because most people have not taken 
such a course.  Also, abstract algebra is an area of mathematics that I find 
particularly interesting, so learning some cool algorithms that apply it would 
be the most interesting to me. 

I probably am not the one to do it, but I think we should try to get someone to 
do the cython core for a project.

Aaron Meurer
On Jan 27, 2010, at 2:27 PM, Ondrej Certik wrote:

> On Wed, Jan 27, 2010 at 1:08 PM, Aaron S. Meurer <[email protected]> wrote:
>> I've been thinking about applying again, though I am not sure what the 
>> project should be.  Are there any good algorithms that are not implemented 
>> that could make a good project?  I have had Abstract Algebra and some Real 
>> Analysis courses since last summer.
> 
> I know about lots of "polishing" projects, e.g.
> 
> * Things with assumptions, even though given that the last project
> involving this is still not finished, I would like to see detailed
> plan for that.
> * polishing series expansion (we have nseries() and lseries(), make
> sure both work for anything and are fast, etc.), fix limits
> * incorporate the cython core (that'd be a good project), speed up the core
> ...
> 
> as to new algorithms, well, there are some related to integration
> (Mateusz knows more), then complex integration, definite integrals
> (Mateusz knows more), then there are lots of stuff in quantum
> mechanics, that we can have in sympy, etc. It really depends what
> interests you the best.
> 
>> 
>> Or if I don't find any good ideas, I wouldn't mind mentoring.
> 
> That would be also good, thanks.
> 
> Ondrej
> 
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