Difference between revisions of "Elementary symmetric sum"
m (Symmetric sum moved to Elementary symmetric sum: symmetric sums are any sums that are symmetric. These specifically are the elementary ones)
Revision as of 19:18, 23 November 2007
A symmetric sum is a type of summation.
The -th symmetric sum of a set of numbers is the sum of all products of of those numbers (). For example, if , and our set of numbers is , then:
1st Symmetric Sum =
2nd Symmetric Sum =
3rd Symmetric Sum =
4th Symmetric Sum =
The first symmetric sum of is often written . The th can be written
Symmetric sums show up in Vieta's formulas