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Re: Declaring real variables using Element

  • To: mathgroup at smc.vnet.net
  • Subject: [mg63456] Re: Declaring real variables using Element
  • From: "Jean-Marc Gulliet" <jeanmarc.gulliet at gmail.com>
  • Date: Sun, 1 Jan 2006 01:16:10 -0500 (EST)
  • Organization: The Open University, Milton Keynes, U.K.
  • References: <dp5r1g$rhg$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

"GidiL" <gidienator at gmail.com> a écrit dans le message de news: 
dp5r1g$rhg$1 at smc.vnet.net...
| Hello to all!
|
| I am trying to declare the variable S to be real, using the Element
| command:
| Element[S, Reals]
|
| Next I calculate the complex conjugate of IS (I is the imaginary unit)
| Conjugate[\[ImaginaryI] S]
|
| The result I get is
| -\[ImaginaryI] Conjugate[S]
|
| which should have been -IS. Why does it not recognise S as a real
| variable?
|
| I would appreciate any help.
|
| Thanks,
| Gideon
|

Hi Gideon,

To achieve what you want, you must use the package *ReIm* 
(http://documents.wolfram.com/mathematica/Add-onsLinks/StandardPackages/Algebra/ReIm.html) 
and set the imaginary part of S to 0 as in the following lines:

In[1]:=
Needs["Algebra`ReIm`"]

In[2]:=
Im[S] ^= 0;

In[3]:=
Conjugate[I*S]

Out[3]=
(-I)*S

Best regards,
/J.M. 



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