论文标题
另一个证据表明多项式的根部不断取决于系数
Yet another proof that the roots of a polynomial depend continuously on the coefficients
论文作者
论文摘要
复杂多项式的根部连续取决于系数。也就是说,系数的无限扰动导致根部无限扰动。使用InfitItimals可以简单明了证明这一点。
The roots of a complex polynomial depend continuously on the coefficients; that is, an infinitesimal perturbation of the coefficients results in an infinitesimal perturbation of the roots. A short, straightforward proof of this is possible using infinitesimals.