You might want to look at -

https://github.com/brombo/galgebra

especially galgbra.pdf in the doc directory.

On Wed, Oct 21, 2015 at 11:26 AM, Aaron Meurer <[email protected]> wrote:

> Python 3.5 has the new @ operator, which has the same precedence as *.
> You won't be able to use it in library code, but it could be useful as
> one of the operators.
>
> Aaron Meurer
>
> On Tue, Oct 20, 2015 at 7:27 PM, Jason Moore <[email protected]> wrote:
> >> So something will need to be added to the order of operations handler...
> >> any idea on how to start on this?  Is that an error from decorators.py?
> >
> > This is fixed in Python and is not something we can change. My opinion is
> > that overloading the operators like this at all is a bad idea in Python.
> I'd
> > rather not have them there at all.
> >
> >
> > Jason
> > moorepants.info
> > +01 530-601-9791
> >
> > On Tue, Oct 20, 2015 at 5:02 PM, Justin <[email protected]> wrote:
> >>
> >> Hi,
> >>
> >>>
> >>> Something I'd really like to see changed in the vector module, is the
> >>> dependence of these operators on the coordinate system. That is, you
> define
> >>> the grad, curl, div operators for every coordinate system. This is not
> >>> necessary, because base_scalars and base_vectors all contain a
> reference to
> >>> their coordinate system instance.
> >>>
> >>> In SymPy, remember to access to parameters passed to the constructor
> with
> >>> obj.args
> >>
> >>
> >> So I did some playing around here and found that when a vector is
> >> constructed with VectorAdd or VectorMul the system reference is lost in
> >> obj.arg as you mentioned.  It's still there, just buried in tuples of
> >> BaseScalar and BaseVector instances.  Should we add a system property
> to the
> >> classes for basis dependent classes (basisindependent.py).
> >>
> >>>>
> >>>> They both check out.  Next, something will have to be done for dot
> >>>> products to check:
> >>
> >>
> >> Dot products are fine... granted one puts parenthesis around them.  For
> >> example:
> >>
> >> >>> r + r * dr & dr
> >>
> >> TypeError: r cannot be interpreted correctly
> >>
> >>
> >> >>> r + r * (dr & dr)
> >>
> >> 2 * spherical_r
> >>
> >>
> >> So something will need to be added to the order of operations handler...
> >> any idea on how to start on this?  Is that an error from decorators.py?
> >>
> >>
> >>>>
> >>>> 3) grad(fg) --> laplacian(fg) = f laplacian(g) + 2 * grad(f) (dot)
> >>>> grad(g) + g laplacian(f)
> >>
> >>
> >> Whoops!
> >>
> >>>>
> >>>> 4) curl(curl(A)) = grad(div(A)) - laplacian(A)
> >>>
> >>>
> >>> Did you write some code? Did you post it on github?
> >>
> >>
> >> Following Jason's post I fetched the branch from your repo and started
> >> doing testing.  I haven't done much coding; I did add the laplacian to
> >> functions.py. Should I push to you on a different branch or stop, fork
> and
> >> continue?
> >>
> >>>
> >>>>  I'll see if I can get a hold of him and see where he is at (or, if
> you
> >>>> (Upabjojr) keep up with posts, message me on here).
> >>>
> >>>
> >>> Hello there!
> >>
> >>
> >> Hi back!
> >>
> >> So, I think for now I will focus on adding a system property to the
> >> BasisDependent(Add)Mul classes and then debug the order of operations
> issue.
> >> Let me know how you would like to handle the push (it should be fine to
> push
> >> to you because I'm on a different branch and will have to submit a pull
> >> request to you anyways).
> >>
> >>
> >>
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