RE: Getting Symbolic Real and Imag Parts? (Once Again)
- To: mathgroup at smc.vnet.net
- Subject: [mg33498] RE: [mg33443] Getting Symbolic Real and Imag Parts? (Once Again)
- From: "Higinio Ramos" <higra at usal.es>
- Date: Sun, 24 Mar 2002 01:43:51 -0500 (EST)
- References: <200203211427.JAA18200@smc.vnet.net>
- Reply-to: "Higinio Ramos" <higra at usal.es>
- Sender: owner-wri-mathgroup at wolfram.com
A way for doing what you want:
In[18]:=
Simplify[Re[Cosh[b] Sin[a] + I Cos[a] Sinh[b]],{a>0,b>0}]
Out[18]=
Cosh[b] Sin[a]
In[19]:=
Simplify[Im[Cosh[b] Sin[a] + I Cos[a] Sinh[b]],{a>0,b>0}]
Out[19]=
Cos[a] Sinh[b]
Higinio
----- Original Message -----
From: aes <siegman at stanford.edu>
To: mathgroup at smc.vnet.net
Subject: [mg33498] [mg33443] Getting Symbolic Real and Imag Parts? (Once Again)
> OK, so you can use ComplexExpand expand to find the symbolic real and
imag
> parts of an expression -- e.g. the input
>
> zComplex = ComplexExpand[ Sin[a+I b], TargetFunctions->{Re,Im}]
>
> gives as output
>
> Cosh[b] Sin[a] + I Cos[a] Sinh[b]
>
> as desired. But now, how do I get Mathematica to peel out the
symbolically real and
> imaginary parts of this? -- that is, what inputs
>
> zR = ???
>
> zI = ???
>
> will give as outputs
>
> Cosh[b] Sin[a]
>
> and
>
> Cos[a] Sinh[b]
>
> (Maybe an example in the ComplexExpand Help file would be helpful?)
>
>
- References:
- Getting Symbolic Real and Imag Parts? (Once Again)
- From: aes <siegman@stanford.edu>
- Getting Symbolic Real and Imag Parts? (Once Again)