Re: need to make a special function

• To: mathgroup at smc.vnet.net
• Subject: [mg68303] Re: need to make a special function
• From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
• Date: Tue, 1 Aug 2006 06:59:16 -0400 (EDT)
• Organization: The Open University, Milton Keynes, UK
• References: <eakec7\$qvd\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Nabeel Butt wrote:
> Dear Users,
>         I need help on making a special type of function which has the
> following properties.
>    f[1]={{0},{1}}
>    f[2]={{0,0},{0,1},{1,0},{1,1}}
>    f[3]={{0,0,0},{0,0,1},{0,1,0},{0,1,1},{1,0,0},{1,0,1},{1,1,0},{1,1,1}}
> .............so on you can see the pattern emerging.
>  I need a very efficient code to perform the above evaluation in some
> optimization problem.
>      regards,
>         Nabeel

Hi Nabeel,

Try

f[(n_Integer)?Positive] := Tuples[{0, 1}, n]

For instance, f[4] returns the list

{{0, 0, 0, 0}, {0, 0, 0, 1}, {0, 0, 1, 0}, {0, 0, 1, 1}, {0, 1, 0, 0},
{0, 1, 0, 1}, {0, 1, 1, 0}, {0, 1, 1, 1}, {1, 0, 0, 0}, {1, 0, 0, 1},
{1, 0, 1, 0}, {1, 0, 1, 1}, {1, 1, 0, 0}, {1, 1, 0, 1}, {1, 1, 1, 0},
{1, 1, 1, 1}}

HTH,
Jean-Marc

```

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