Re: Condensed syntax

*To*: mathgroup at smc.vnet.net*Subject*: [mg113488] Re: Condensed syntax*From*: Helen Read <readhpr at gmail.com>*Date*: Sun, 31 Oct 2010 02:06:44 -0500 (EST)*References*: <iagli4$3h6$1@smc.vnet.net>

On 10/30/2010 4:38 AM, Themis Matsoukas wrote: > I have a list of {i,j} values, > > ij = Tuples[config, 2] > > {{1, 1}, {1, 2}, {1, 3}, {1, 4}, {2, 1}, {2, 2}, {2, 3}, {2, 4}, {3, > 1}, {3, 2}, {3, 3}, {3, 4}, {4, 1}, {4, 2}, {4, 3}, {4, 4}} > > and I want to create a list in which the {i,j} are passed as arguments to a function f[x,y], i.e., {f[1,1], f[1,2],..., f[4,4]}. I can do this using the two-step process: > > g[X_List] := Apply[f, X] > Map[g, ij] > > {f[1, 1], f[1, 2], f[1, 3], f[1, 4], f[2, 1], f[2, 2], f[2, 3], > f[2, 4], f[3, 1], f[3, 2], f[3, 3], f[3, 4], f[4, 1], f[4, 2], > f[4, 3], f[4, 4]} > > Is there a way I can bypass the intermediate function g[x] and produce the final list in a single step? MapThread[f, Transpose[ij]] -- Helen Read University of Vermont