Function of several variables

*To*: mathgroup at smc.vnet.net*Subject*: [mg72077] Function of several variables*From*: "tlhiv" <thenders at gmail.com>*Date*: Mon, 11 Dec 2006 04:54:48 -0500 (EST)

I have created a list of variables that I would like to make a function in terms of by M = 4; X = Table[Subscript[x, i], {i, 1, M}] Now I would like to make a function f that is a function of each of these M variables. If I were manually create this function without taking advantage of iterators, I would do something like f[Subscript[x,1]_,Subscript[x,2]_,Subscript[x,3]_,Subscript[x,4]_] = 1/(Subscript[x,1]+Subscript[x,2]+Subscript[x,3]+Subscript[x,4]) However, my plan is to significantly increase M, and therefore I don't want to have to manually define f in this way. I would like to define it in terms of the elements of X and use the Sum in the function definition. In the end I'm going to be solving an optimization problem where I try to find the "optimal" choice for these elements of X. Can someone offer a method for accomplishing this function definition? Thanks, -- Troy Henderson Assistant Professor Department of Mathematical Sciences United States Military Academy http://www.tlhiv.org

**Follow-Ups**:**Re: Function of several variables***From:*"Josef Otta" <josef.otta@gmail.com>