Recent content by Yiming Xu
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Undergrad Express power sums in terms of elementary symmetric function
If someone cannot see the notations clearly, it is the same question on SE:http://math.stackexchange.com/questions/2157075/express-power-sums-in-terms-of-elementary-symmetric-functions- Yiming Xu
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- Forum: Linear and Abstract Algebra
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Undergrad Express power sums in terms of elementary symmetric function
The sum of the $k$ th power of n variables $\sum_{i=1}^{i=n} x_i^k$ is a symmetric polynomial, so it can be written as a sum of the elementary symmetric polynomials. I do know about the Newton's identities, but just with the algorithm of proving the symmetric function theorem, what should we do...- Yiming Xu
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- Abstract algebra Elementary Function Polynomials Power Proof Sums Symmetric Terms
- Replies: 1
- Forum: Linear and Abstract Algebra