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**:**Re: Controlled evaluation of functions***From:*yehuda ben-shimol <bsyehuda@gmail.com>

**Re: Controlled evaluation of functions***From:*Chris Chiasson <chris.chiasson@gmail.com>

**Re: Controlled evaluation of functions***From:*DrBob <drbob@bigfoot.com>