Difference between revisions of "Elementary symmetric sum"
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Revision as of 13:14, 18 June 2006
Definition
The nth symmetric sum is the sum of a group of numbers, taken n at a time. So if the numbers are a, b, c, and d, then:
1st Symmetric Sum = a+b+c+d
2nd Symmetric Sum = ab+ac+ad+bc+bd+cd
3rd Symmetric Sum = abc+abd+acd+bcd
4th Symmetric Sum = abcd
Uses
Symmetric sums show up in Vieta's formulas
