I should note that we as a community do not have a central consensus on
what-should-be-done-with-tensors.  For you as an applicant this means that
the field is a bit uncertain, but that there is lots of room for you to
propose what you think should be done.


On Wed, Mar 5, 2014 at 8:15 AM, Matthew Rocklin <[email protected]> wrote:

> There is certainly work to do with tensors in SymPy.  Personally I would
> like to see more cohesion among tensor-like projects.  There are a lot of
> tensor-like or indexed things in SymPy that all have valuable logic, none
> of which stem from some common framework.  The original idea behind tensor
> core was to have some base layer from which all of the systems could
> benefit and from which pairs of systems could use to interact.
>
> For example tensors as seen from a geometric point of view (sympy.tensor),
> matrix expressions as seen from a linear algebraic / matrix computations
> point of view (sympy.matrices.expressions) and arrays for code generation
> (sympy.tensor.indexed) all have some stuff in common.  What is that stuff?
>  Can we pull it out?
>
>
> On Wed, Mar 5, 2014 at 4:06 AM, F. B. <[email protected]> wrote:
>
>>
>>
>> On Wednesday, March 5, 2014 2:53:29 AM UTC+1, Charlie Paul wrote:
>>>
>>> I'm interested in doing the Tensor Core project for GSoC.
>>>
>>
>> That's good news.
>>
>>
>>> Other than the standard physics fare and a couple semesters of linear
>>> algebra, I've also taken differential geometry.
>>>
>>
>> SymPy currently also has a differential geometry module, with basic
>> support for tensors (covariant components only).
>>
>> http://docs.sympy.org/latest/modules/diffgeom.html
>>
>>
>>>
>>> Firstly, what is the status on SymPy's tensors compared to the Linear
>>> Algebra Vision document linked from the idea page?
>>>
>>
>> In sympy/tensor/indexed there is an old module. There is now a more
>> mathematically rigorous tensor module:
>>
>> http://docs.sympy.org/latest/modules/tensor/tensor.html
>>
>> It was initially meant to characterize abstract tensors (i.e. tensor
>> objects without components data). There is also support for data, but there
>> is still a lot of work to be done.
>>
>> The major inspiration for the new tensor module is *xAct*, a Wolfram
>> Mathematica package to do tensor manipulations. It has been used
>> extensively concerning symbolic math in General Relativity. xAct is open
>> source.
>>
>> It would be powerful to merge sympy/tensor/tensor tensors with those in
>> sympy/diffgeom.
>>
>> I see that there is a relatively recent tensor module (the aforementioned
>>> document is a couple years old). It looks like it isn't comprehensive, but
>>> I thought that I would check, as suggested on the GSoC page.
>>>
>>
>> I don't know if that page has been updated, in any case there have been
>> some additions.
>>
>>
>>>
>>> Also, I'd like to check the status of the Google Code and Github issues
>>> pages. Is one preferred and takes precedence over the other, or are they
>>> both used simultaneously?
>>>
>>>
>> I added a lot of issues concerning the new tensor module a month ago into
>> github. They are prefixed by *Tensor*.
>>
>> Thank you,
>>>
>>>
>> You're welcome.
>>
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