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Re: Abs in the denominator

  • To: mathgroup at smc.vnet.net
  • Subject: [mg128560] Re: Abs in the denominator
  • From: Bill Rowe <readnews at sbcglobal.net>
  • Date: Fri, 2 Nov 2012 23:54:00 -0400 (EDT)
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On 11/2/12 at 12:45 AM, didi.vela at gmail.com (Dieter Ernst) wrote:

>I have an expression with Abs applied to the entire denominator:

>0.5/Abs[(C * R * omega)/(-1 + C * L * omega^2)]

>(Just as an example, the function in Abs could also be another one).
>How can I transform it to an expression with Abs wrapping the entire
>Fraction, such as:
>Abs[0.5/((C * R * omega)/(-1 + C * L * omega^2))]

>... and then to:
>Abs[(0.5 * (-1 + C * L * omega^2) / (C * R * omega)]]

In[4]:= 0.5/Abs[(C*R*omega)/(-1 + C*L*omega^2)] /.
 0.5/Abs[b_] :> Abs[Simplify[.5/b]]

Out[4]= Abs[(0.5*C*L*omega^2 - 0.5)/(C*omega*R)]

Not quite the output you indicated but perhaps close enough?




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