Setting radexpand:false makes f(x) and g(x) be different.
It seems that maxima has simplified g(x) incorrectly by making sqrt(x^2) be
x. This shouldn't happen since radexpand is true by default. So at most
maxima should make g(x) be abs(x)/sqrt(1+sqrt(x)).
Ray
On Tue, Sep 6, 2011 at 1:25 PM, Richard Fateman
<fateman at eecs.berkeley.edu>wrote:
> f(x):=x/sqrt(1+sqrt(x));
> g(x):=sqrt(x^2/(1+sqrt(x)));
>
> f(x)-g(x) returns 0
>
> f(3)-g(3) returns 0
>
> f(-3) - g(-3) is NOT zero.
>
> indeed, f(x)-g(x) is not zero if x<0.... is there a remedy?
>
> RJF
>
>
>
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