Re: Grouping similar indices together in an expression

• To: mathgroup at smc.vnet.net
• Subject: [mg65249] Re: Grouping similar indices together in an expression
• From: Peter Pein <petsie at dordos.net>
• Date: Wed, 22 Mar 2006 06:13:38 -0500 (EST)
• References: <dvosko\$j5k\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```David Sanders schrieb:
> Hi,
>
> I am a newbie in Mathematica, and am trying to do the following.
>
> I have terms which look like
> a[i] a[j] b[i] b[j]
>
> I need to apply a function F, for which I need to group the different
> indices (by which I mean i, j) together as follows:
>
> F(a[i] a[j] b[i] b[j]) = F(a[i] b[i]) F(a[j] b[j])
>
> I do not in general know how many different indices there might be in a
> term.  E.g. I might have
> a[i] a[j] a[k] b[j]
>
> Could somebody please give me a hint as to how to do this?
>
> Thanks,
> David.
>

Hi David,

maybe you don't want the "intersection of indices"?

Then try this one:

example3=a[i] a[j] a[k] b[g] b[h] b[i] b[j];

Times@@F@@@Split[Sort[List@@example3,OrderedQ[First/@{##}]&],
SameQ@@(First/@{##})&]

--> F[a[k]] F[b[g]] F[b[h]] F[a[i],b[i]] F[a[j],b[j]]

Peter

```

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