Re: Searching for a function
- To: mathgroup at smc.vnet.net
- Subject: [mg70844] Re: Searching for a function
- From: David Bailey <dave at Remove_Thisdbailey.co.uk>
- Date: Sat, 28 Oct 2006 23:39:18 -0400 (EDT)
- References: <ehv8vp$g6f$1@smc.vnet.net>
Bonny Banerjee wrote: > 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. > > Surely if the sets are finite lists of numbers there will always be such a function - found by interpolation! David Bailey http://www.dbaileyconsultancy.co.uk