Re: Getting stuck with finding an elegant solution without global variables

*To*: mathgroup at smc.vnet.net*Subject*: [mg124825] Re: Getting stuck with finding an elegant solution without global variables*From*: Bill Rowe <readnews at sbcglobal.net>*Date*: Wed, 8 Feb 2012 05:32:34 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

On 2/7/12 at 4:05 AM, fredrik.doberl at gmail.com (Fredob) wrote: >I am trying to find an elegant solution, i.e. without a global >variable to the following problem: >Given a list, e.g. {1,2,3,4}, create a new list where each element >is a function of the "i th" element and the rest of the list, e.g. Take a look at Nest or NestList. For example, the following returns the sum of element i through the end of the list: In[4]:= NestList[{Total[Last@#], #[[-1, 2 ;;]]} &, {Range[4]}, 4][[2 ;;, 1]] Out[4]= {10,9,7,4} >Branch[Elem_, List_] := Elem + Cases[List, Except[Elem]] > >The the result would be {{3, 4, 5}, {3, 5, 6}, {4, 5, 7}, {5, 6, 7}} In[5]:= branch[elem_, list_] := elem + Cases[list, Except[elem]] In[6]:= NestList[{branch[#[[-1, 1]], {1, 2, 3, 4}], #[[-1, 2 ;;]]} &, {Range[4]}, 4][[2 ;;, 1]] Out[6]= {{3, 4, 5}, {3, 5, 6}, {4, 5, 7}, {5, 6, 7}} Note, I changed your function branch to start with lower case letters. It won't do to have a variable named List when Mathematica has a built in function named List. Even if Mathematica can handle things correctly, using a variable name like this will make your code more difficult to understand.