Some interesting stuff in computer vision may be doable with geometric
algebra, which is one of the things I want to implement, but mostly I'm
looking at computations on smooth manifolds.

Mike

On Wed, Apr 28, 2010 at 6:46 AM, Alan Bromborsky <[email protected]>wrote:

> Vinzent Steinberg wrote:
>
>> Alan implemented geometric algebra in sympy, maybe this is related.
>>
>> Vinzent
>>
>> On 27 avr, 16:41, "[email protected]"
>> <[email protected]> wrote:
>>
>>
>>> I'm thinking of attempting to pick up where a poster left off if it
>>> hasn't already been done. A poster wanted to implement abstract
>>> differential geometry. I think this is very doable in sympy, it'll
>>> just take some doing. I'll start working on this over the summer and
>>> see how far I can get, I mostly wanted to see whether or not anyone
>>> has done this already making the project kind of useless.
>>>
>>> PS: I'm teaching a class in python next semester to mathematicians and
>>> the final project will probably be writing a something that interfaces
>>> with a library or is a part of a library in itself. My project over
>>> the summer is to make sure I get back up to speed on how this is done
>>> so that I can at least in theory teach the class.
>>>
>>> Mike
>>>
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>>
>>
>>
> The differential operators in the geometric algebra module are not for
> manifolds.  To see how geometric calculus relates to differential geometry
> see "Geometric Algebra for Physicists" by Doran and Lasenby section 6.5.
>  Note that the Grassman algebra used in differential forms is a subset of
> the geometric algebra.
>
>
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