
Re: Creating an ordered list of pairs
Posted:
Dec 2, 2013 1:44 AM


Table together with Flatten will do what you want:
Flatten[Table[{i, 5 j}, {i, 1, 3}, {j, 1, 4}], 1] = {{1,5},{1,10},{1,15},{1,20},{2,5},{2,10},{2,15},{2,20},{3,5},{3,10},{3,15},{3,20}}
An alternative to using indices with Table is to use Outer:
Flatten[Outer[List, Range[3], 5 Range[3]], 1] {{1,5},{1,10},{1,15},{2,5},{2,10},{2,15},{3,5},{3,10},{3,15}}
On Dec 1, 2013, at 8:23 AM, amannucci <Anthony.J.Mannucci@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 constantinterval 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.
 Murray Eisenberg murray@math.umass.edu Mathematics & Statistics Dept. Lederle Graduate Research Tower University of Massachusetts 710 North Pleasant Street Amherst, MA 010039305

