论四则运算广义判别式的非负性

Yusuf Z. Gürtaş
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摘要

对于 1≤k≤n-1 的 n≥2 度多项式 f(x)=cnxn+⋯+c1x+c0 而言,二次方程的判别式最近被概括为 Δk=k(n-k)cn-k2-(k+1)(n-k+1)cn-k-1cn-k+1 ,并证明 Δ1≥0 i...
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On Nonnegativity of the Generalized Discriminants of Quadratics
Discriminants of quadratics have been recently generalized as Δk=k(n−k)cn−k2−(k+1)(n−k+1)cn−k−1cn−k+1 for a polynomial f(x)=cnxn+⋯+c1x+c0 of degree n≥2 for 1≤k≤n−1 and it has been shown that Δ1≥0 i...
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