“Newton's identities”的概念、定义、习题解题方法及翻译-数学辞典

单词

Newton's identities

释义

Newton's identities

Given a polynomial anxⁿ+an–1xn–1+ ⋅⋅⋅ +a0 = 0, let sk denote the sum of the kth powers of the polynomial's roots. Then Newton's identities state for k ≥1 that

These identities recursively determine sk in terms of sk–1,….,s1. In these identities ar is understood to be 0 if r<0. See also elementary symmetric polynomials.

随便看

数学辞典收录了4151条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。