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Controlled evaluation of functions

• To: mathgroup at smc.vnet.net
• Subject: [mg56763] Controlled evaluation of functions
• From: "Brett Patterson" <muckle.moose at gmail.com>
• Date: Thu, 5 May 2005 06:02:34 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Consider the following behaviour:

  In[1]:= f[i_, x_] := Sin[i x]

  In[2]:= g[x_] = Table[f[i, x], {i, 3}]

  Out[2]= {Sin[x], Sin[2 x], Sin[3 x]}

  In[3]:= {3, 0, 1} . g[y]

  Out[3]= 3 Sin[y] + Sin[3 y]

This is what I want to do, but using my own function instead of Sin.
However, this is the result:

  In[4]:= k[x_] := x^2           (* This is my alternative to Sin *)

  In[5]:= f[i_, x_] := k[i x]

  In[6]:= g[x_] = Table[f[i, x], {i, 3}]

  Out[6]= {x^2, 4 x^2, 9 x^2}    (* I want {k[x], k[2 x], k[3 x]} *)

  In[7]:= {3, 0, 1} . g[y]

  Out[7]= 12 y^2                 (* I want 3 k[y] + k[3 y] *)

How can I get the function k to behave like Sin, so that it is not
evaluated?

Note that in my real application, k is a lot more complex and has
conditions on its arguments, etc.

Thanks!

Brett Patterson

• Follow-Ups:
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