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MathGroup Archive 2005

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Re: direct product of two sets

  • To: mathgroup at smc.vnet.net
  • Subject: [mg53283] Re: [mg53264] direct product of two sets
  • From: Tomas Garza <tgarza01 at prodigy.net.mx>
  • Date: Tue, 4 Jan 2005 03:13:21 -0500 (EST)
  • References: <200501030929.EAA10701@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Perhaps this will help:

In[1]:=
a = {a1, a2, a3}; 
b = {b1, b2, b3};
 
In[5]:=
Flatten[Outer[List, a, b], 1]
Out[5]=
{{a1, b1}, {a1, b2}, {a1, b3}, {a2, b1}, {a2, b2}, 
  {a2, b3}, {a3, b1}, {a3, b2}, {a3, b3}}

Tomas Garza
Mexico City
----- Original Message ----- 
From: "Cong" <vo.chi.cong at is.titech.ac.jp>
To: mathgroup at smc.vnet.net
Subject: [mg53283] [mg53264] direct product of two sets


> Hello!
> 
> 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?
> 
> Best Regards,
> 
> Cong
> 
>


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