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MathGroup Archive 2006

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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


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