Hello again SymPy Community,

I'm leaning now towards a GSoC project in Stats/Uncertainty. I like
the work done in the uncertainties package 
http://packages.python.org/uncertainties/index.html
and am interested in moving the ideas over to the symbolic world. In a
nutshell the existing package gives you the ability to work with
variables that are enhanced with a single parameter uncertainty (i.e.
standard deviation).
Basic example copied from the link above:
>>> x = ufloat((1, 0.1))  # x = 1+/-0.1
>>> print 2*x
2.0+/-0.2
>>> sin(2*x)  # In a Python shell, "print" is optional
0.90929742682568171+/-0.083229367309428481

To me the symbolic equivalent of this is to work with probability
distributions on continuous random variables. Equivalent of the simple
example above:
>>> A = Normal(mean=0, std=1)
>>> A.pdf(x)
2**(1/2)*exp(-y**2/2)/(2*pi**(1/2))
>>> sin(A).pdf(x)
2**(1/2)*exp(-asin(x)**2/2)/(2*pi**(1/2)*(1 - x**2)**(1/2))

- Is this an appropriate direction to take a GSoC project?
- Is this a useful contribution to SymPy?
- What are the relevant parts of SymPy that would need to be enhanced
(right now I see sympy.statistics.distributions)?
- What are some interesting directions people see this going?
- Is there a better way to approach this problem?
- What are some fun examples where this would be useful?

Feedback strongly appreciated
-Matt

On Mar 20, 7:22 am, Vinzent Steinberg
<vinzent.steinb...@googlemail.com> wrote:
> Hi Matt,
>
> On Mar 20, 5:32 am, Matthew <mrock...@gmail.com> wrote:
>
>
>
>
>
>
>
>
>
> > Hello SymPy Community,
>
> > I'm looking for an interesting project to work on during some free
> > time I have this Summer and I'm wondering if we're a good fit. Here is
> > a bit about me:
>
> > I'm a PhD student studying Computer Science at the University of
> > Chicago with a background in Physics and Mathematics. I'm a heavy user
> > of Python and its open source developments but have never contributed
> > more than bug reports. I code a fair amount but it's all research-
> > grade and not suitable for public use. My goal for this project would
> > be to focus on crafting code and a clear end-user experience rather
> > than focusing on a scientific research question. I would also like to
> > engage and join the Python community a bit; I've always been "just an
> > end-user."
>
> > I'm searching for an appropriate project for a summer. I'm looking
> > over the provided list and at the existing functionality in SymPy. I
> > have a few ideas but I'd appreciate suggestions.
>
> > My interests include the following: Scientific Computing (generally),
> > Numerical Linear Algebra, Physics (generally), Geometry/Relativity,
> > Dynamical Systems, Statistics (generally), Uncertainty/Sensitivity,
> > Optimization, Education.
>
> > Thoughts:
> > My ideal project would be to develop a code-base for General
> > Relativity. However I see that someone else already has some code that
> > they're thinking of contributing. Would it be best to wait on this?
> > Are there supporting aspects of this topic that I could help with
> > (reworking tensors for example). Relevant thread here:http://goo.gl/zRmDs
> > I could probably improve sympy Matrices. I'm curious, how many people
> > use the existing functionality? What are common applications for
> > symbolic matrices? If I go this route I want to make sure that there
> > are some good motivating use cases. I wonder if something akin to
> > numpy's ndarray would be appropriate to merge both this and the above
> > topic. A lot of functionality is shared and currently (I think)
> > codeveloped in both branches.
>
> The matrices module was written by a GSoC student some time ago. Most
> of the basic stuff is implemented, but the interface could be
> improved. If you want to choose this as a project, I guess you'll have
> to find some more advanced functionality to implement.
>
> Adding pure python numpy-like ndarray support to sympy would be nice.
> This probably requires a lot of work.
>
> > Brian Granger's quantum physics projects seem appropriate.
> > I'm also tangentially interested in code generation. Any suggestions
> > on this front?
>
> Øyvind worked on this during last GSoC, so he may have some
> suggestions.
>
> > Anyone have thoughts for applications in education? Something like
> > sympy might aid significantly in learning calculus for example.
>
> I think sympy has a lot of potential in education. If you want to
> know, you can easily look up the implementation (using ?? or the
> source() command). Do you have any thoughts? To me, this is a not-so-
> obvious project to do.
>
> > Can anyone think of projects that would be appropriate for someone of
> > my background that haven't yet been added to the ideas list?
>
> Any project about statistics or uncertainity.
>
> My suggestion is to choose the project that interests you the most
> (given that it is a project that is likely to be accepted).
>
> Vinzent

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