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Re: COLLECT and application of various commands to each coefficient

  • To: mathgroup at smc.vnet.net
  • Subject: [mg21226] Re: COLLECT and application of various commands to each coefficient
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Mon, 20 Dec 1999 02:27:47 -0500 (EST)
  • Organization: Universitaet Leipzig
  • References: <83aaed$qpf@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

Collect[expr,{Cos[x],Sin[x]}] /. 
  {a_.Sin[x]:> Simplify[a]*Sin[x],
   b_.Cos[x]:>Simplify[b,Element[n,Integers]]Cos[x]}

may help you

Regards
  Jens

Blimbaum Jerry DLPC wrote:
> 
>         I want to simplify a long expression using the Collect command.  I
> notice that it allows you to apply a command to each of the coefficients,
> e.g.
> 
>         Collect[expr,{Cos[x],Sin[x]},Simplify]
> 
>         But Simplify here applies to both coefficients.  What if I want to
> do different things with each coefficient, e.g.
> 
>         Collect[expr,{Cos[x],Sin[x]},{Collect coefficient of Cos[x] in terms
> of x^2,Simplify Coefficients of Sin[x]]}]
> 
>         Can this be done within the Collect command?  I tried it literally
> as I wrote above but that didnt work.
> 
>         Thanks.   jerry blimbaum    NSWC   Panama City, Fl


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