On 1/25/11 8:44 AM, kcrisman wrote:
Reasoning this might happen is as follows:
sage: f(x)=x^3+1
sage: f.derivative()
x |--> 3*x^2
sage: f.integral()
/Users/.../sage-4.6.2.alpha1/local/bin/sage-ipython:1:
DeprecationWarning: Variable of integration should be specified
explicitly.
#!/usr/bin/env python
x |--> 1/4*x^4 + x
Argument for this deprecation was that one could conceivably want an
integral with respect to other variables. Personally, I find this
silly in this case, but several - possibly including robertwb :)
though I may not remember correctly - were emphatic that this was
necessary.
If f is a function explicitly of one variable (e.g., f(x)=x^3+1), then
it makes sense to use this variable as a default for differentiation or
integration. However, if we are dealing with just a symbolic expression
(e.g., f=x^3+1), then a default makes less sense to me.
IIRC, previous conversations about this centered on the symbolic
expression case, not the explicit one-variable function case. I might
be remembering incorrectly, though.
Jason
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