基本解释：五次方程
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With the help of resolvent equation,the calculating formulas of roots for equation of 5-th order are obtained,the third-order convergence of the iteration algorithm is given.借助于五次方程中的五次方项确定的预解方程,证明了一元五次方程根的级数形式的计算公式,分析了迭代算法的三阶收敛性,建立了求高次方程根的一个新方法。
A class of fifth system with one twenty-one order singularity;一类有21阶奇点的五次系统
Infinity is used as a base point in homemorphic transformation to study infinity for a class of fifth system and isochronous center problems.通过同胚变换把系统无穷远点化为原点,研究了一类五次系统无穷远点中心与拟等时中心问题。
In this article,the center conditions,isochronous center conditions and bifurcation of limit cycles at infinity for a class of fifth system are investigated.研究一类五次系统无穷远点的中心、拟等时中心条件与极限环分支问题。
On the basis of analyzing the law of ground fault, this paper expounded the protection principle based on the fifth harmonic derection, which is suitable for all kinds of underground HV distribution networks.作为该原理的具体应用,介绍了一种基于五次谐波检测的井下高压接地选线系统。
A class of planar quintic system x=λx-y+yR_2+xR_4,y=x+λy-xR_2+yR_4,is studied,where R_2=b_1x~2+b_2xy+b_3y~2,R_4=a_4x~4+a_2x~2y~2+a_0y~4,and the focus value with order k,the necessary and sufficient conditions are obtained with O(0,0) being a center of the system.主要研究了一类平面五次系统,x=λx-y+yR2+xR4,y=x+λy-xR2+yR4,R2=b1x2+b2xy+b3y2,R4=a4x4+a2x2y2+a0y4,给出了原点O(0,0)的各阶焦点量和O为中心的充要条件。
The topological classification of higher order singular point for the quintic system with one zero characteristic root is discussed, and a criterion by the coefficients of polynomials is given.讨论了具有一个零特征根的五次系统高次奇点的拓扑分类，并给出利用多项式系数的判断准
