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MathGroup Archive 2007

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Re: Plus sets in mathematica..?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg75972] Re: Plus sets in mathematica..?
  • From: Bill Rowe <readnewsciv at sbcglobal.net>
  • Date: Mon, 14 May 2007 03:41:26 -0400 (EDT)

On 5/13/07 at 5:54 AM, e-changbo at hanmail.net (changbo) wrote:

>I want to make a function "f", its domain is every thinkable two
>sets, and the result is  {a+b | a=E2=88=88A,b=E2=88=88B} for A,B.

>ex) A={1,2,3}, B={40,50,60,70}, then I have f[A,B] as
>{41,42,43,51,52,53,61,62,63,71,72,73}.

Using Outer with Plus will do the trick, i.e.,

In[10]:= Outer[Plus, Range[40, 70, 10], Range@3]

Out[10]= {{41, 42, 43}, {51, 52, 53}, {61, 62, 63},
    {71, 72, 73}}

and if you need a 1D list used Join or Flatten, i.e,

In[11]:= Join @@ Outer[Plus, Range[40, 70, 10], Range@3]

Out[11]= {41,42,43,51,52,53,61,62,63,71,72,73}

or

In[12]:= Flatten@Outer[Plus, Range[40, 70, 10], Range@3]

Out[12]= {41,42,43,51,52,53,61,62,63,71,72,73}
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