Re: Complex Numbers to list of points

• To: mathgroup at smc.vnet.net
• Subject: [mg72212] Re: Complex Numbers to list of points
• From: dh <dh at metrohm.ch>
• Date: Thu, 14 Dec 2006 05:49:39 -0500 (EST)
• Organization: hispeed.ch
• References: <elosbs\$ojk\$1@smc.vnet.net>

```
Hi Andrew,

you must specify the level where your replacement should act:

Replace[{1 + 3I, 2, 1 - 3I}, x_ -> {Re[x], Im[x]}, 1]

without thi, x can matches the whole expression.

Daniel

planetmarshalluk at hotmail.com wrote:

> Hi there,

>

> I have a list of mixed complex and real numbers returned from a function, e=

> g

>

> {1+3i, 2, 1-3i}

>

> I wish to convert the list to a list of points.

>

> {1+3i,2,1-3i} /. z_Complex->{Re[z],Im[z]}

>

> gives

>

> {{1,3},2,{1,-3}}

>

> Which is almost what I want, but has not dealt with the possibility of non-=

> complex numbers in the list. Is there a compact way of doing this, such wit=

> h a list of rules? Nothing obvious seems to work, the only success I have h=

> ad is splitting the list into real and complex sublists, applying rules to =

> each list individually and then recombining them, which seems like an awful=

>  lot of hard work.

>

> What I want is

> toPoints[{1+3i, 2, 1-3i}] == {{1,3},{2,0},{1,-3}}

>

> Any help appreciated,

> Thanks.

>

> Andrew.

>

```

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