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Topic: Conjugate
Replies: 3   Last Post: Mar 3, 2013 2:21 AM

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Bob Hanlon

Posts: 906
Registered: 10/29/11
Re: Conjugate
Posted: Mar 3, 2013 2:21 AM
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To have an Element statement applied it would have to be used as an
assumption along with a command that can use assumptions (e.g.,
Simplify, FullSimplify).

Assuming[Element[{A, B}, Complexes],
FullSimplify[Conjugate[A + B] == Conjugate[A] + Conjugate[B]]]


FullSimplify[Conjugate[A + B] == Conjugate[A] + Conjugate[B],
Element[{A, B}, Complexes]]


However, this Assumption is unnecessary.

FullSimplify[Conjugate[A + B] == Conjugate[A] + Conjugate[B]]


Bob Hanlon

On Sat, Mar 2, 2013 at 3:46 AM, 遠山聡一 <> 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.

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