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Re: Searching for a function

  • To: mathgroup at
  • Subject: [mg70878] Re: Searching for a function
  • From: Jean-Marc Gulliet <jeanmarc.gulliet at>
  • Date: Mon, 30 Oct 2006 05:33:12 -0500 (EST)
  • Organization: The Open University, Milton Keynes, UK
  • References: <ehv8vp$g6f$> <ei1a0t$97b$>

Bonny Banerjee wrote:
> "Bonny Banerjee" <banerjee.28 at> wrote in message 
> news:ehv8vp$g6f$1 at
>> 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?


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