Re: direct product of two sets

*To*: mathgroup at smc.vnet.net*Subject*: [mg53274] Re: direct product of two sets*From*: Simon Anders <simon.anders at uibk.ac.at>*Date*: Tue, 4 Jan 2005 03:12:45 -0500 (EST)*Organization*: University of Innsbruck, Austria*References*: <crb4hv$an3$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Hi, > Give 2 finite sets A and B, how can I compute their direct product > A x B := {(a,b) : a\in A, b\in B} > > Can someone help me? Use Outer: In[1] := a = {1, 3, 5}; b = {2, 4, 6, 8}; In[2] := Outer [{#1, #2} &, a, b] Out[2] := {{{1, 2}, {1, 4}, {1, 6}, {1, 8}}, {{3, 2}, {3, 4}, {3, 6}, {3, 8}}, {{5, 2}, {5, 4}, {5, 6}, {5, 8}}} HTH, Simon