Re: Applying List of Functions To List Of Arguments

*To*: mathgroup at smc.vnet.net*Subject*: [mg30203] Re: Applying List of Functions To List Of Arguments*From*: Roland Franzius <Roland.franzius at uos.de>*Date*: Thu, 2 Aug 2001 03:15:58 -0400 (EDT)*References*: <9k88rv$55o$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Hi, among the many possible ways I would try these solutions: 1. Use a permanent definition of a listable function , say Eval F={f,g,h};X{x,y,z}; SetAttributes[Eval,Listable]; Eval[f_,x_]:=f[x]; Eval[F,X] {f[x],g[y],h[z]} This definition would always go down to the lowest level of lists with equal tree structure pairing functions and their arguments 2. Do it on the fly using Inner[ ] with an applicating function on pairs and List instead of Plus Inner[ ( #1[#2]& ) , F, X, List] {f[x],g[y],h[z]} 3. or by pairing and pattern replacement Transpose[{F,X}]/.{a_,b_}:>a[b] Pattern replacement may be inconvenient if 2-sublists exist in arguments. 4. or by pairing and mapping an Apply of the Evaluation-of-function-at-argument onto the pairs {f,x} (#1[#2]&)@@@Transpose[{F,X}] Regards Roland Franzius Ronnen Levinson wrote: > Hi. > > What function or operator will let me apply a list of functions to a > list of arguments? That is, I'd like to apply {f1,f2,f3} to {a,b,c} to > get {f1[a],f2[b],f3[c]}. > > Yours truly, > > Ronnen.