Re: strange function that defines a function---how do I do it?

*To*: mathgroup at smc.vnet.net*Subject*: [mg15263] Re: strange function that defines a function---how do I do it?*From*: "G.C.Levy" <glevy at iol.it>*Date*: Wed, 30 Dec 1998 01:50:25 -0500*Organization*: Italia Online*References*: <75no5e$sgj@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Benjamin Lotto wrote in message <75no5e$sgj at smc.vnet.net>... >Working with Mathematica 3.0: > >Suppose I define > > makefunction[var_, expr_]:=f[var_?NumberQ]:=NIntegrate[expr,{x,0,1}] > >Then I can do something like > > z=x^2 > makefunction[x,z] > >and it will be just as if I typed > > f[x_?NumberQ]:=NIntegrate[x^2,{x,0,1}] > > <..........................> >OK, now suppose I have a list of variables x1 up through xn. Suppose >they're in a list: > > list={x1,x2,...,xn} > >I want something like "makefunction" above so that when I type > > makefunction[list,expr] > >it will be just as if I typed > > f[x1_?NumberQ,x2_?NumberQ,...,xn_?NumberQ]:=expr > >analogous to the above. Can anyone help me? > >Thanks in advance. Y'all out there have been very helpful in the past. I known nothing about Mathematica 3.0, but in Mathematica 2.2 this works fine: makefunction[list_,expr_]:= ( Clear[f]; Evaluate[Apply[f,Pattern[#,_?NumberQ]& /@ list ]] := expr )