Thanks for the link! This is quite instructive.

Eric. 

Le mardi 16 septembre 2014 11:41:42 UTC+2, Peter Bruin a écrit :
>
> PS: the following message from the Maxima mailing list (found via a 
> different sqrt-related report in the Maxima bug tracker) is quite 
> useful: 
>
> https://www.ma.utexas.edu/pipermail/maxima/2011/025213.html 
>
> From that page: 
>
> * abs is a mathematical function which has simplification rules.  It 
> assumes by default that it is operating over the reals, so that for 
> example 
> abs(sqrt(x)) => sqrt(x) -- because sqrt is treated as a real-to-real 
> function with domain and range 0..inf.  But if there is an explicitly 
> complex quantity (%i or a variable declared complex), that assumption is 
> invalidated, so abs(z^2) => abs(z)^2, where declare(z,complex). 
>
>

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