On 9/13/11 8:36 PM, kcrisman wrote:
3. That is a really weird error for Sage:sage: var('t,x') sage: assume(x>0) sage: integrate(e^(-t^3),(t,0,x)) 1/6*(I*sqrt(3) - 1)*(gamma(1/3) - gamma(1/3, x^3)) sage: integrate(e^(-t^3),(t,0,x)).diff(x) -1/2*(I*sqrt(3) - 1)*x^2*D[1](gamma)(1/3, x^3) Note that this derivative apparently has a derivative of the gamma function, with respect to the second input, evaluated at 1/3 and x^3. Then when we try to simplify the above, we get the error:Yeah, and this is connected to the changes in how we print "symbolic derivatives" from a year or two ago. I don't want to touch this code because of the potential to mess up how theoretical physics folks need this, but I think it should look more like Maxima or something that just leaves these unevaluated. I don't know that this will get fixed anytime soon, though.
Sounds like there probably is plenty of work for a largish grant to have someone work on Sage symbolics (and how it uses maxima/pynac/etc.) for a while full-time.
Of course, RJF and Tim Daly and Robert Dodier and others would say that yes, there is multiple lifetimes of work that could be done on symbolics, and many lifetimes of work that already has been done!
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