Searching for a function

*To*: mathgroup at smc.vnet.net*Subject*: [mg70813] Searching for a function*From*: "Bonny Banerjee" <banerjee.28 at osu.edu>*Date*: Sat, 28 Oct 2006 05:21:56 -0400 (EDT)*Organization*: Ohio State University

Is it possible for Mathematica to solve this problem: Given sets A and B, does there exist a function from A to B? If yes, what is the function? Here is an example: Let, A = {x such that 0<x<11 and Mod[x,2]==0} B = {y such that 0<y<11 and Mod[y+1,2]==0} Then, there exists a function from A to B y = x - 1 Thus, is there a way to specify arbitrary sets A, B, and use Mathematica to figure out whether there exits a function from A to B or not? Thanks, Bonny.

**Follow-Ups**:**Re: Searching for a function***From:*Murray Eisenberg <murray@math.umass.edu>