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Re: Simplify and Abs

• To: mathgroup at smc.vnet.net
• Subject: [mg54680] Re: Simplify and Abs
• From: Bill Rowe <readnewsciv at earthlink.net>
• Date: Fri, 25 Feb 2005 01:20:29 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

On 2/24/05 at 3:21 AM, simon.anders at uibk.ac.at (Simon Anders) wrote:

>can it really be that this is already beyond Mathematica?

>In :=  FullSimplify[Abs[p - 1], p < 1 && p > 1/2]

>Out := Abs[-1 + p]

>How do I make Matheamtica notice, that the assumptions constrain
>the argument of Abs[] to positive values?

By specifying the value of p is greater than 1 not less than 1, i.e.,

In[3]:= FullSimplify[Abs[p - 1],  p > 1]
Out[3]= p - 1

Your code specifies 1/2 < p < 1 which ensures Sign[p-1]= -1.
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