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Re: Replace in operators

  • To: mathgroup at smc.vnet.net
  • Subject: [mg102902] Re: [mg102869] Replace in operators
  • From: Patrick Scheibe <pscheibe at trm.uni-leipzig.de>
  • Date: Wed, 2 Sep 2009 04:00:08 -0400 (EDT)
  • References: <200909010750.DAA18607@smc.vnet.net>

Hi,

the problem is, that your expression is evaluated to

Plus[f[x],Derivative[1][f][x]]

so what about

ReleaseHold[Hold[f[x] + D[f[x], x]] /. f[x] :> g[x]]

?

Cheers
Patrick

On Tue, 2009-09-01 at 03:50 -0400, did wrote:
> I can't figure out how to force Mathematica to replace
> f[x] by g[x] in expressions involving operators.
> For example:
> 
> f[x] + D[f[x],x] /. f[x] -> g[x]
> 
> f is not replaced in the derivative. I found
> somewhere in the manual that the replacement
> does not work on operators, but then it does
> not indicate how to do it.
> 
> In my real problem, f[x]->g[x] is a (long)
> list of complicated transformations resulting
> from the resolution of many equations.
> Thus, changing f[x]->g[x] by f->g is not
> an option.
> 
> f[x] + D[f[x],x] is actually a complicated
> expression involving many operators.
> 
> There are no ways I can do the
> substitution by hand, bit by bit.
> 
> Any suggestions ?
> Thanks
> 
> PS: it may help to precise the context.
> I'm trying to solve a system of PDEs by
> a small parameter expansion. Solving the
> system at order N, I want to re-inject the
> results into the equations at order N+1.
> 



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