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Re: Conjugate

  • To: mathgroup at smc.vnet.net
  • Subject: [mg129995] Re: Conjugate
  • From: Andrzej Kozlowski <akozlowski at gmail.com>
  • Date: Sun, 3 Mar 2013 02:22:35 -0500 (EST)
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On 2 Mar 2013, at 09:46, =E9=81 =E5=B1=B1=E8=81=A1=E4=B8=80 =
<st.merl.ebina at 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.





  • References:
    • Conjugate
      • From: 遠山聡一 <st.merl.ebina@gmail.com>
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