Re: Creating an ordered list of pairs

• To: mathgroup at smc.vnet.net
• Subject: [mg132076] Re: Creating an ordered list of pairs
• From: Bob Hanlon <hanlonr357 at gmail.com>
• Date: Mon, 2 Dec 2013 01:56:01 -0500 (EST)
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• References: <20131201132325.05AF46A00@smc.vnet.net>

```Use Flatten or Join

xy = Flatten[
Table[{x, y}, {x, 1, 3}, {y, 5, 15, 5}],
1]

{{1, 5}, {1, 10}, {1, 15}, {2, 5}, {2, 10}, {2, 15}, {3, 5}, {3, 10}, {3,
15}}

or

xy = Join @@
Table[{x, y}, {x, 1, 3}, {y, 5, 15, 5}]

{{1, 5}, {1, 10}, {1, 15}, {2, 5}, {2, 10}, {2, 15}, {3, 5}, {3, 10}, {3,
15}}

% == %%

True

Bob Hanlon

On Sun, Dec 1, 2013 at 8:23 AM, amannucci
<Anthony.J.Mannucci at jpl.nasa.gov>wrote:

> How do I create an ordered list of pairs of the following structure:
> {{x1,y1}, {x2,y2}, {x3,y3}, ...} ? I want x1, x2, and x3 to be increasing
> in constant-interval steps (e.g. 1,2,3) and similarly for the y's (e.g.
> 5,10,15). E.g.
> {{1,5}, {1,10}, {1,15}, {2, 5}, {2,10}, ...} etc.
>
> I cannot figure out how to do this with Table or Array. Is there another
> function that will do this?
>
> Table does not create the correct nesting or structure.
>
> Thanks!
>
> -Tony
>
>

```

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