Replacement/substitution by complex rules

MINGYEN CHEN

2013 6 19

0 个回答

4 次查看（30 天）

0 个投票

Hello, is there any function that I can use to apply the complex rules for general use ?

For example, given a function --- abs(x+y)^2, we know this can be expressed in the following complex form : i.e.

abs(x+y)^2 = (x+y) * conj(x+y)

As far as I know, Mathematica has such function like

Abs[x_] -> Sqrt([x Conjugate[x]])

Therefore, I'm wondering if Matlab also provides has the replacement function similar to Mathematic's.

Any advice is highly appreciated. Many thanks in advance.

2 个评论
显示无隐藏无

Azzi Abdelmalek 2013-6-19

编辑：Azzi Abdelmalek 2013-6-19

What are *? if they are not part of your code, please remove them, also it's not clear for me what you are asking

MINGYEN CHEN 2013-6-20

Thank you for reminding me of the redundant '*' in the above equations. They were added to bold the equations. (Apparently, they didn't work.) I now deleted them all.

Frankly speaking, I would like to substitute abs(z)^2 by (z)*conj(z) where z is any symbolic (complex) variable. It's for the next step that I'm going to view z and conj(z) as separate variables. As the results, I'm interested in such substitution in Matlab. I'm thinking if there is a way to replace abs(z)^2 symbolically in the form of (z)*conj(z), which is possible in Mathematica as '->' code. If it exists, please tell me.

Thanks a lot.

请先登录，再进行评论。

请先登录，再回答此问题。

Follow Question