Re: newbie: all possible sums of two lists

• To: mathgroup at smc.vnet.net
• Subject: [mg30675] Re: [mg30657] newbie: all possible sums of two lists
• From: BobHanlon at aol.com
• Date: Sat, 8 Sep 2001 02:22:15 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```In a message dated 2001/9/3 9:12:22 PM, alantu at students.uiuc.edu writes:

>Hello, I confess I am a newbie to Mathematica. I think I have a basic
>understanding of the syntax and concepts, but there are just so many
>functions. What is the most efficient way to find all the possible sums
>of
>two lists.
>
>List[i1, i2, ... i_n]
>List[j1, j2, ... j_m]
>
>I want
>
>List[i1+j1, i1+j2, i1+j3, ... i1+j_m, i2+j1, i2+j2, i2+j3, ... i2+j_m,
>...
>i_n+j_m]
>

iL = {i1, i2, i3, i4};
jL = {j1, j2, j3};
Flatten[Outer[Plus, iL, jL]]

{i1 + j1, i1 + j2, i1 + j3,
i2 + j1, i2 + j2, i2 + j3,
i3 + j1, i3 + j2, i3 + j3,
i4 + j1, i4 + j2, i4 + j3}

Bob Hanlon
Chantilly, VA  USA

```

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