@Marsci, if you have a firm grasp on what Harold had started feel free
to proceed from where he has stopped. Whether your application will be
accepted for GSoC really depends on the amount of work that is
suggested and the details and quality of the application. Feel free to
also look at our ideas
Hi there!
There are two books about applications of Geometric Algebra to
Physics (Clifford Algebra to Geometric Calculus by Hestenes and Sobczyk and
Geometric Algebra for Physicists by Doran and Lasenby). An optimal
implementation of Physics would implement a Geometric Algebraic structure
Can the tensor implimentation related to covariant and contravariant co
ordinate systems and moving through different co ordinate systems be
helpful.I mean to say could covariant and contravariant transforms form the
basis for tensor module.Thanks.
On Wed, Apr 24, 2013 at 12:17 AM, F. B.
I started working on such an implementation yesterday. It has already an
index-contraction system. Give me some days to finish it, then I'll post it.
This part is not only helpful, it is ESSENTIAL to all modern physics!
On Tuesday, April 23, 2013 8:52:40 PM UTC+2, Amit wrote:
Can the tensor
Sir ,
I would like to work on it as a project this summer (GSoC) with additional
features.I would also like to add the basis conception using determinants.I
was moving from different topics and have fixed my self onto this and have
started writing a proposal.I guess I satisfy the requirements and
These
covariant and contravariant co ordinate systems
moving through different co ordinate systems
index-contraction system
can mean a lot of different things in the context of a CAS. Some of
them are already implemented in sympy or numpy. For instance:
1. naive index contraction:
- naive
So would these mean starting afresh or just adding more to the present
system. And my idea is the matrix transforms method between various co
ordinate systems which would be applied to covariant and contravariant co
ordinates.I have been working on this stream of ideas and would also like
to add
Frankly, I think that there is a very urgent need to implement a working
tensor module enabling the usage of the Einstein summation convention. I had
a look at sympy.tensor, but it looks like that module is still far away from
working (unless I didn't figure out correctly how it works).
So would these mean starting afresh or just adding more to the present
system. And my idea is the matrix transforms method between various co
ordinate systems which would be applied to covariant and contravariant co
ordinates.
This seems very well suited to be an extension to `diffgeom`.
So can I get some insight on how to proceed because this was the thing I
have been mentioning but could not find sufficient enough material and was
clubbing with some diffused ideas to make a project out of it.
It would be great if GSoC were a platform but it was not the case also I
would like to
For the case of `diffgeom` you can see the proposal which started it
last year and my reports on it:
https://github.com/sympy/sympy/wiki/GSoC-2012-Application-Stefan-Krastanov:-Vector-Analysis
http://blog.krastanov.org/diff-geometry-in-python/
This is not the only way to proceed, but it is one
Is everything what you have mentioned implemented ??
I was thinking on these lines :
Given a system we have a matrix to compute the contravaraint co ordinates
wrt to the original basis (The given basis). In covariant coordinates the
basis itself have a different representation but this would
Some notes:
- what you said about polynomials concerns vector spaces, not manifolds
- what you said about coordinate systems (as opposed to bases)
concerns manifolds and it is well within the scope of `diffgeom`
`diffgeom` has some rudimentary support for 2D and 3D flat space. It
would be
I was thinking on the lines of connecting these co ordinates with bases
(manifold intersection bases). I guess I was able to convey my ideas
across.I would like to work on this. Yes I was referring to vector spaces
and does such a implementation exist ?? Thanks.
On Wed, Apr 24, 2013 at 2:03 AM,
http://blog.krastanov.org/category/sympy-2/gsoc-diffgeom/
I was going through this and it would of really some great help in making a
proposal if some light is thrown on what has been implemented so far.Thanks.
On Wed, Apr 24, 2013 at 2:44 AM, Amit Jamadagni bitsjamada...@gmail.comwrote:
I
OK, well my intention for now is to allow using physical formulae involving
tensors inside SymPy.
I do not know enough maths to work on the diffgeom module. I think I will
go on with my multilinear-indexed map. It's fixed on a basis, it works just
likes matrices in many dimensions.
I started
All that is on the blog is implemented. Some parts of the original
proposal (the github wikipage) are not yet implemented. It is all in
the diffgeom folder in sympy (just clone the git repo from github).
Look at the code in rn.py (it is quite simple and it is not necessary
to understand the rest
On 23 April 2013 23:42, F. B. franz.bona...@gmail.com wrote:
OK, well my intention for now is to allow using physical formulae involving
tensors inside SymPy.
Such helper function could be very useful, but it would be easier to
discuss them when they get into a pull request.
I do not know
I have scanned through the code and this image has given me a cleaner
picture.
http://krastanov.files.wordpress.com/2012/08/painful_christoffel_symbols.png
Now if I am not wrong there is still a need for the implementation of
implementation of covariance as the contravariance (as I understand) is
I have been reading what Harold E. has to say about units, from what I have
gotten out of the reading it seems like very interesting and important
work. I would be very glad to contribute to that. What would you suggest I
do as the proposal to for the GSoC? Also I am familiar with
Hello,
I would really enjoy to contributing to this project, especially to the
physics module, unfortunately I have no idea what else I can add to the
physics module. It appears as all the work to be done is solely on quantum
mechanics and since I am a first year in university I do not have a
There has been discussion on adding modules for other areas of
physics, such as electromagnetism. I suppose the other big area that
is missing is relativity. These all really require a graduate level of
understanding in physics to work with, though. I'm not sure if there
is much a first year
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