Re: Evaluation Question

*To*: mathgroup at smc.vnet.net*Subject*: [mg76545] Re: Evaluation Question*From*: Ray Koopman <koopman at sfu.ca>*Date*: Wed, 23 May 2007 05:44:56 -0400 (EDT)*References*: <f2u57d$k2n$1@smc.vnet.net>

On May 22, 12:13 am, hoffmannick <hoffmann... at gmail.com> wrote: > Can anyone help me solve the following problem? > > I have a function of 3 variables, let's say > f[a_, b_, c_] = a + b + c > > Now I need to evaluate the function at some given points. To evaluate > at a single point I would do > f[0,0,1] > > For the point (0,0,1) > > Now here is the main question. > I need to evaluate this function at the points (0,0,0) through (1,1,1) > That would be the points: > 0,0,0 > 0,0,1 > 0,1,0 > 0,1,1 > 1,0,0 > 1,0,1 > 1,1,0 > 1,1,1 > > I'm testing these for approx 32 different functions. Is there an easy > way that I can define the function and then have it test all the > points for me? It will always be those finite points listed above. > > I looked into the mathematica documentation and it said how to do this > with a function of a single variable, but it didn't say how to do it a > function of more than one variable. > > I really appreciate your help Outer[Apply, {f1,f2,...,f32}, IntegerDigits[#,2,3]&/@Range[0,7], 1] will give a 32 x 8 table of results. If you want to do the functions one at a time, first define abc = IntegerDigits[#,2,3]& /@ Range[0,7]; Then f @@@ abc will give a vector of 8 results for function f.