Re: Sum of Products

• To: mathgroup at smc.vnet.net
• Subject: [mg126674] Re: Sum of Products
• From: Bob Hanlon <hanlonr357 at gmail.com>
• Date: Wed, 30 May 2012 04:11:26 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <201205290948.FAA06747@smc.vnet.net>

```SymmetricPolynomial, for example,

SymmetricPolynomial[2, {a, b, c}] ==
Total[Times @@@ Subsets[{a, b, c}, {2}]] // Simplify

True

SymmetricPolynomial[2, {a, b, c, d}] ==
Total[Times @@@ Subsets[{a, b, c, d}, {2}]] // Simplify

True

SymmetricPolynomial[4, {a, b, c, d, e, f}] ==
Total[Times @@@ Subsets[{a, b, c, d, e, f}, {4}]] // Simplify

True

Bob Hanlon

On Tue, May 29, 2012 at 5:48 AM, Harvey P. Dale <hpd1 at nyu.edu> wrote:
>        If I have a list and want to sum the products of each possible
> grouping of two elements in the list, this program will do that:
>
>                Total[Times @@@ Subsets[{a, b, c}, {2}]]
>
> Is there any other, shorter, built-in Mathematica object that will
> produce the same result?
>
>        Thanks.
>
>        Harvey

```

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