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2012-10-29 07:06:08 +0200	marked best answer	functions with vector inputs I don't understand the question. Are you asking if it's possible to use the special notation like `f(x) = x^2` for the creation of vector valued functions? If so, the answer is currently no, but it could probably be added to the Sage preparser without much problem. Of course you can always define the function `rot` the ordinary way to take a vector and return a vector: `sage: rot = lambda v: vector([1/v[0],1,1]) sage: rot(vector([2,1,1])) (1/2, 1, 1)`
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2012-10-01 17:39:11 +0200	commented answer	functions with vector inputs My mistake: the problem arises while calculating the divergence. It was a copy/paste failure. I will edit the question. I don't think this is the answer I was looking for.
2012-10-01 15:48:52 +0200	asked a question	functions with vector inputs Are vector functions supported in sage? as in: `f1(r,phi,theta) = 1/r f2(r,phi,theta) = 1 f3(r,phi,theta) = 1 F = vector([f1, f2, f3]) G=rot(F) # vector function` An ancient post seems to suggest that rot has to be defined with a positional python-argument like rot(*F). Is there a way for "rot" to take the vector symbolically as an argument?