Re: Searching for a function
- To: mathgroup at smc.vnet.net
- Subject: [mg70878] Re: Searching for a function
- From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
- Date: Mon, 30 Oct 2006 05:33:12 -0500 (EST)
- Organization: The Open University, Milton Keynes, UK
- References: <ehv8vp$g6f$1@smc.vnet.net> <ei1a0t$97b$1@smc.vnet.net>
Bonny Banerjee wrote: > "Bonny Banerjee" <banerjee.28 at osu.edu> wrote in message > news:ehv8vp$g6f$1 at smc.vnet.net... >> 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. >> >> > > > I am looking for continuous functions only from set A to set B. Sorry > for not making it clear. > > --Bonny. > And polynomial functions -- say, obtained by interpolation as suggested by other posters -- are not continuous, aren't they? Regards, Jean-Marc