Re: How to extract functions from a list and call them with any argument?

*To*: mathgroup at smc.vnet.net*Subject*: [mg65927] Re: [mg65919] How to extract functions from a list and call them with any argument?*From*: "Carl K. Woll" <carlw at wolfram.com>*Date*: Mon, 24 Apr 2006 06:01:18 -0400 (EDT)*References*: <200604231017.GAA11838@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

dmp55 at sympatico.ca wrote: > I have a list of functions, i.e., > > funclist = {Sin[x], x^3, Cos[x]^2}. > > I can extract each of the functions, like > > In[1]:=funclist[[1]] > Out[1]=Sin[x] > > , but I don't know how to call these functions with a general argument. > If I type > > In[2]:=funclist[t][[1]] > > , I get > > Out[2]=t > > instead of Sin[t] (or t^3 or Cos[t]^2) > > What I would like is to extract a function from the list and to call it > with any argument, as it was defined in a standard way: > f[x_]:=Sin[x]. > > Dom Sounds like you want to convert the functions in the list to pure functions. Here is a method to do so: In[1]:= f3 = Function[{x}, #]&[ funclist[[3]] ] Out[1]= Function[{x}, (Cos[x])^2] Lets see if it works: In[2]:= f3[3] Out[2]= (Cos[3])^2 Carl Woll Wolfram Research

**References**:**How to extract functions from a list and call them with any argument?***From:*dmp55@sympatico.ca