Simplifying Conjugate[] with 5.2 Mac
- To: mathgroup at smc.vnet.net
- Subject: [mg59725] Simplifying Conjugate[] with 5.2 Mac
- From: sbjensen at midway.uchicago.edu (Steuard Jensen)
- Date: Fri, 19 Aug 2005 04:31:47 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
I've just upgraded from Mathematica 5.0 to 5.2 for the Mac, and I discovered that a notebook that ran fine before (finishing in ten or fifteen minutes) was now being tremendously slow. I'm sure I haven't tracked down everything that I need to fix by hand to speed it back up again (I did a lot of tuning when I wrote it), but it seems that part of the problem can be tracked back to what looks like a bug in Simplify[] (or at least an awfully annoying behavior). Specifically, I have used $Assumptions to define some variables as real. I apply Conjugate to various expressions, and then Simplify the results. In version 5.0, I _never_ saw a case in which Conjugate[] remained after this step. But in 5.2, I find that even simple forms like Conjugate[x + I y] often remain unsimplified. (Refine[x + I y] still seems to work, though.) I've cut and pasted a simple example below, and I'd be interested to know if other people experience the same behavior. I'd appreciate any advice or comments on how to handle this, or on where I should write to report this strange behavior to Wolfram if you think that's appropriate. Thanks in advance for any help you can give. Steuard Jensen ------------------------------------------------------------ In[1]:= $Assumptions={Element[{x,y},Reals]}; In[2]:= Simplify[Conjugate[x]] Out[2]= x In[3]:= Simplify[Conjugate[I y]] Out[3]= -I y In[4]:= Simplify[Conjugate[x+y]] Out[4]= x+y In[5]:= Simplify[Conjugate[x+I y]] Out[5]= Conjugate[x + I y] In[6]:= Refine[Conjugate[x+I y]] Out[6]= x - I y ------------------------------------------------------------
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