On Fri, Oct 24, 2008 at 1:35 PM, Alan Bromborsky <[EMAIL PROTECTED]> wrote: > > Ondrej Certik wrote: >> On Wed, Oct 22, 2008 at 7:11 AM, Alan Bromborsky <[EMAIL PROTECTED]> wrote: >> >>> Using sympy I have attached a program (LaTeX.py) demonstrating Maxwell's >>> equations using geometric calculus. Also attached is a version of >>> GAsympy.py with some geometric calculus extensions (the version in sympy >>> only does geometric algebra). The demo program is called LaTeX.py since >>> it uses LaTeX to show the equations in a nice format. Eventually I will >>> use the standard latex printing system in sympy with some >>> modifications. Just run LaTeX.py and see what come out! >>> >> >> Wow, this is impressive! Thanks for doing this. >> >> I would like the LaTeX class to be integrated with our LatexPrinter, >> see sympy/printing/latex.py. Do you have any comments on that? Because >> you are duplicating a lot of stuff in your own class. >> >> Ondrej >> >> > >> >> > I need to consult with you more on how your printer classes in general > work before starting integrating my latex with your latex. Also with > regard to the actual math part of geometric calculus, now that I can do > geometric derivatives in rectangular coordinates I need to implement > curvilinear coordinates for practical applications which means I need to > do some pencil and paper derivations.
Ok. Related note I wrote recently regarding my research: I had to convert the Laplace equation with nonconstant conductivity into cylindrical coordinates. One can find such formulas on the internet, but in fact, I wasn't able to quickly find formulas if the conductivity is not constant. Now, obviously in this is simple example the result is obvious. But nevertheless, as an excersise, I wrote some notes how such things can be done using differential geometry, see the geom.ps referenced in the above wiki, or this link: http://github.com/certik/differential-geometry/tree/0552cdd5b99ebfb356c1d469f84314027cc3ffb0%2Fgeom.ps?raw=true See the section 3.1. I can imagine that converting more complex equation, or using other curvilinear coordinates such conversions quickly become very messy. Using my notes above, the task can be completely automated and it is in my TODO list to implement this in SymPy. --------- It'd be cool if we could do all the stuff in geom.ps in sympy. Ondrej --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "sympy" group. To post to this group, send email to [email protected] To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sympy?hl=en -~----------~----~----~----~------~----~------~--~---
