多项式同一性结构与其零点研究

探讨了几种复数域的多项式同一性结构,并研究了它们的一些性质.由分布同一性可以得到多项式系数与重心的脱关性,重心同一性可以用于改变零点个数,而扩散同一性可以保证在天平式结构下实现多项式零点的动态位移.从演绎的内涵上将多项式零点问题的研究归结为对同一性多项式的结构,性质、与选择的研究.

A Study on Polynomial Identity Structure and Its Zeros

A few of polynomial identity structures defined on complex field have been discussed and studied. The removing of correlation between polynomial coefficients and their zero center of gravity can be obtained from the distribution identity structure. The number of zero can be changed with the center of gravity identity structure. The dynamic displacements of polynomial zeros can be realized by spreading identity structure on the skeleton of balance. So that, the studies on the zeros of polynomial can be looked upon as the studies on the constructions of polynomial identity structure, its properties and the way to pick them up.