Re: Sum elements in a list with conditions

• To: mathgroup at smc.vnet.net
• Subject: [mg69850] Re: Sum elements in a list with conditions
• From: "dkr" <dkrjeg at adelphia.net>
• Date: Mon, 25 Sep 2006 03:53:25 -0400 (EDT)
• References: <ef5066\$mm5\$1@smc.vnet.net>

```Guillermo,

First collect the sublists containing identical first elements using
Split:

In[4]:=
alist={{a1, b1},{a2,b2},{a2,b3},{a2,b4},{a3, b5}, {a3, b6}};
In[5]:=
Split[{{a1, b1},{a2,b2},{a2,b3},{a2,b4},{a3, b5}, {a3, b6}},
First@#1===First@#2&]
Out[5]=
{{{a1,b1}},{{a2,b2},{a2,b3},{a2,b4}},{{a3,b5},{a3,b6}}}

Then you can perform the summation in a variety of ways.  For example:

In[6]:=
%5/.b:{{a_,_}..}:>{a,Plus@@Transpose[b][[2]]}
Out[6]=
{{a1,b1},{a2,b2+b3+b4},{a3,b5+b6}}

dkr

```

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