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MathGroup Archive 1999

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Re: F[f_,x_]:=f[x] ?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg19835] Re: F[f_,x_]:=f[x] ?
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Sun, 19 Sep 1999 01:20:22 -0400
  • Organization: University of Western Australia
  • References: <7rsi9t$3im@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Patrick McLean wrote:

> What is the name of the in-built Mathematica function that plays the role
> of F in te following:
>
> F[f_,x_]:=f[x].
>
> For example,
>
> Outer[F,{f,g},{x,y}]
>
> will give:
>
> {{f[x],f[y]},{g[x],g[y]}}.

Although f at x is the prefix form of f[x] you cannot use it here. Two ideas:

[1] Use a pure function instead of F:

Outer[#1[#2] & , {f, g}, {x, y}]

[2] Use Thread and Through:

Thread /@ Through[{f, g}[{x, y}]]

Cheers,
    Paul

____________________________________________________________________
Paul Abbott                                   Phone: +61-8-9380-2734
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AUSTRALIA                            http://physics.uwa.edu.au/~paul

            God IS a weakly left-handed dice player
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