On Saturday, May 4, 2013 6:46:40 PM UTC-7, nonlinear wrote:
>
> How do I convert g to a symbolic form where dx, dy, and dz are also
> symbolic variables? I need to assign values to all variables via a for
> loop. Also, is it possible for g to be a 3x3 symbolic matrix? Thanks
> much, mahlon
>
If you read the documentation of DifferentialForms you see examples that
g[0],g[1] etc. allow you to fetch the coefficients in front of the forms.
Once you can do that you can pick apart and reassemble your one-forms in
whatever way you see fit:
sage: var('dx,dy,dz')
(dx, dy, dz)
sage: L=[dx,dy,dz]
sage: sum(g[i]*L[i] for i in range(3))
2*dx*x + dz*cos(z) + dy
(this last expression is now just a symbolic expression)
If you want to put these components in a matrix you can do that as well.
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