Issue 1139: Description and Differentiation of vector, tensor, and  
multivector fields.
http://code.google.com/p/sympy/issues/detail?id=1139

New issue report by [EMAIL PROTECTED]:
As an example consider a vector field (A1,A2,A3) where each of the A's is a
function of (x1,x2,x3).  First you would like to declare the A's as
functions of (x1,x2,x3) in the following way.  Let x = [x1,x2,x3], a list
of variables and declare the function via A1 = Function('A1',x).  The
reason for this is to allow one to automate the declaring of functions so
that if there are many function to declare as functions of the same
variable set [x1,x2,x3] it could be done with a simple loop.  For example
in the space time geometric algebra the independent variables are
[x0,x1,x2,x3] and the number of scalar functions needed to describe a
general multivector field are 16.  Also one should also be able to suppress
the independent variables when printing the function so that there should
be switch so that print A1 only prints A1 and not A1(x1,x2,x3).  Likewise
for example when differentiating A1 with respect to x1, print diff(A1,x1)
should output either d(A1)/dx1 or d(A1(x1,x2,x3))/dx1 depending on how your
output switch is set.  Note that this request only applies to the scalar
function coefficients of the field.  The use should determine all of the
remaining field chacteristics.


Issue attributes:
        Status: Accepted
        Owner: [EMAIL PROTECTED]
        Labels: Type-Enhancement Priority-Medium

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