Re: Searching for a function
- To: mathgroup at smc.vnet.net
- Subject: [mg70850] Re: [mg70813] Searching for a function
- From: Murray Eisenberg <murray at math.umass.edu>
- Date: Sat, 28 Oct 2006 23:39:41 -0400 (EDT)
- Organization: Mathematics & Statistics, Univ. of Mass./Amherst
- References: <200610280921.FAA16103@smc.vnet.net>
- Reply-to: murray at math.umass.edu
I don't understand your question. If B is not empty, then there ALWAYS exists at least one function from A to B: If A is empty, then the function with empty graph is a function from A to B; if A is nonempty, then any constant function with value an element of B is a function from A to B. 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. > > > -- Murray Eisenberg murray at math.umass.edu Mathematics & Statistics Dept. Lederle Graduate Research Tower phone 413 549-1020 (H) University of Massachusetts 413 545-2859 (W) 710 North Pleasant Street fax 413 545-1801 Amherst, MA 01003-9305
- References:
- Searching for a function
- From: "Bonny Banerjee" <banerjee.28@osu.edu>
- Searching for a function