On Sunday, May 24, 2015 at 4:23:59 PM UTC+2, Ralf Stephan wrote:
>
> Thanks for the report. I have opened
>  http://trac.sagemath.org/ticket/18488
>
> Regards,
>


Thanks!

I'd like to add that some more experimentation with the complex conjugate 
in relation to equations and equalities made me realize that there seem to 
be other (probably unrelated?) issues:

sage: sage: var('z'); conjugate(z+i)
conjugate(z) - I
# (as expected)

# But:
conjugate(z+i==0)
z + I == 0
# expected: conjugate(z) - I == 0

Here's another example showing that the conjugate is simply dropped when 
applied to an equality:

sage: conjugate(conjugate(z)==0)
conjugate(z)==0

sage: conjugate(conjugate(z))
z

The equalities I'm criticizing are of course logically equivalent to the 
original equalities, but simply dropping the conjugate is not what I 
expected as a result.
IMHO the conjugate of an equality should return the equality of the 
conjugates of both sides. (Or leave the conjugate unevaluated.)

Kind regards,

Gilles
 

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