I want to create a vector space of dimension three, over the field
whose elements are symbolic expressions. (The reason is that then I
can do vector calculus on such objects, which represent surfaces in 3-
space if the expressions depend on 2 parameters.) How can I do
this? The following, for example, doesn't work:
sage: cos(t)
cos(t)
sage: type(cos(t))
<type 'sage.symbolic.expression.Expression'>
sage: V = VectorSpace(Expression,3)
---------------------------------------------------------------------------
AttributeError Traceback (most recent call
last)
/Users/beeson/<ipython console> in <module>()
/Applications/sage/local/lib/python2.6/site-packages/sage/modules/
free_module.pyc in VectorSpace(K, dimension, sparse,
inner_product_matrix)
399 TypeError: Argument K (= Integer Ring) must be a
field.
400 """
--> 401 if not K.is_field():
402 raise TypeError, "Argument K (= %s) must be a field."
% K
403 if not sparse in (True,False):
AttributeError: type object 'sage.symbolic.expression.Expression' has
no attribute 'is_field'
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