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Re: Through[Divide[f1, f2][x]]

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  • Subject: [mg130929] Re: Through[Divide[f1, f2][x]]
  • From: Ray Koopman <koopman at sfu.ca>
  • Date: Sun, 26 May 2013 05:06:00 -0400 (EDT)
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Either of these will give you f1[x]/f2[x]:

  Divide@@{f1@#,f2@#}&@x

  Divide@@(#@x&)/@{f1,f2}

Sometimes it would be nice to have a "reverse map", that 
applied each of a list of functions to a single argument, 
instead of a single function to each of a list of arguments.

----- Andres Guzman <andres.guzman.fernandez at gmail.com> wrote:
> $Version
> 8.0 for Linux x86 (64-bit) (October 10, 2011)
> 
> Through[Divide[f1, f2][x]]
> f1[x] (1/f2)[x]
> 
> (* When what I want is: Divide[f1[x],f2[x]] . An uncomfortable
>    consequence of the way Mathematica treats division.*)
> 
> Divide[f1, f2] // FullForm
> Times[f1, Power[f2, -1]]



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