On May 15, 2008, at 11:44 PM, Dan Pillone wrote:

> Hi,
>
> I am running SAGE as a VM on a windows computer.
>
> This is somewhat related to plotting the cube root of x, but I can't
> find any method to plot the graph of x^x correctly.  The best plot I
> get is only correct for nonnegative values of x. Likewise,
>
> plot(lambda x: RR(x).nth_root(x))
>
> (which was the suggestion for cube roots) doesn't work for here.
>
> Is there a way to plot x^x correctly?


This is because x^x is not real-valued for negative x (except at a  
discrete set of values). Unlike the cube root case, one can't even  
pick a branch that makes it real-valued.

- Robert

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