Le mercredi 3 juillet 2013 01:07:35 UTC+2, rjf a écrit :
>
>
>
>   Your statement  then translates to RPBSRPN(x^2) = abs(x) .
> But then if it ir R+-->R+,  the abs() is unnecessary,  and RPBSRPN(x^2) = 
> x.
>
>
No, the abs is necessary: consider the following function:
f : R --> R+, x |-->  RPBSRPN(x^2)
then, for x<0, f(x) = abs(x) = -x.



Surely you don't believe  that sqrt of positive numbers are always  
> positive.
>
>
Yes I do: although a positive number has two square roots, a positive one 
and a negative one, the standard expectation regarding the sqrt function is 
that sqrt(x) is THE positive square root of x if x is a positive number.
Hence my initial post in this thread.
 

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