Re: Searching for a function

• To: mathgroup at smc.vnet.net
• Subject: [mg70854] Re: Searching for a function
• From: "Bonny Banerjee" <banerjee.28 at osu.edu>
• Date: Sat, 28 Oct 2006 23:40:01 -0400 (EDT)
• Organization: Ohio State University
• References: <ehv8vp\$g6f\$1@smc.vnet.net>

```I am looking for continuous functions only from set A to set B. Sorry for
not making it clear.

--Bonny.

"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.
>
>

```

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