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Re: Conjugate
Posted:
Mar 3, 2013 2:21 AM


On 2 Mar 2013, at 09:46, =E9=81 =E5=B1=B1=E8=81=A1=E4=B8=80 = <st.merl.ebina@gmail.com> wrote:
> I executed following inputs: > Exit[] > Element[{A, B}, Complexes]; > Conjugate[A + B] == Conjugate[A] + Conjugate[B] > I expected "True" on the last input, but Mathematica's output was: > Conjugate[A + B] == Conjugate[A] + Conjugate[B] > Why didnt Mathematica answer "True"? > Thanks. >
Because instead of learning how Mathematica works you are guessing and all your guesses are completely wrong. Since your first command does nothing at all and neither does the second one, it is not very surprising that Mathematica just returns back your code (if you had not put the semicolon after your second input you would have got that back too). It's like trying to use a chainsaw the way one would use an axe and then being surprised that it's so ineffective.
You can verify that this trivial identity holds by:
FullSimplify[Conjugate[a + b] == Conjugate[a] + Conjugate[b]]
True
or
ComplexExpand[Conjugate[a + b]  Conjugate[a]  Conjugate[b]]
0
but to find out what that means you will have to look at the documentation yourself.



