查询词典 unique factorization theorem

The distribution of the associated characteristic equation roots is given according to the polynomial theorem, and the conditions for ensuring the existence of Hopf bifurcation are obtained. The obtained result is applied to chaotic control.

利用多项式理论给出了其特征方程根的分布，得到了Hopf分岔产生的条件，并将结果应用到混沌神经网络的控制中。

Toward an asymptote","* it grew asymptotically * By the corollary to Theorem 4.3, the origin is asymptotically stable.

根据定理4.3的推论，原点是渐近稳定的

In chapter 2, we sets up the convergence theory of the alternating method for solving Hermitian positive definite systems of linear equations, and establishes the corresponding comparison theorem on its asymptotic convergence rate.

第二章首先介绍当系数矩阵是Hermitian正定矩阵时经典交替迭代法的收敛理论和相应的比较理论，同时我们给出了当分裂不同时对迭代渐进收敛率的影响。

To make our approach to be practical, we also discuss the asymptotic expansion of the operator in chapter 6 which is based on the non-abelian Stokes theorem.

但是由于格点上的算符是path-order变量的乘积，并且其构成非常复杂，按照正常的方式展开实际上是不可能的，为了使我们的算法实际可行，本文接着讨论了格点上算符的渐近展开问题，并且给出了基于non-abelStokes定理的方法，这种方法克服了以前各种办法的缺点，并且简单可行，适用于任意的Wilson算符。

The existence and stability of co-exist periodic solutions are investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.

运用分歧理论、隐函数定理以及渐近展开的方法，获得了共存周期解的存在性与稳定性的结果。

By further discussing the asymptoticality of" medial point" for mean value theorem in some references, several new asymptotic estimation formula are obtained under weaker conditions, which unify and extend corresponding results in the references.

对文献中的"中间点"渐近性的有关结果作了进一步讨论，获得几个新的在更弱条件下的渐近估计式，从而在很大程度上推广了文献中的相应结果。

Study about the first mean value theorem for integrals,which obtain a new results on the mean value asymptotic behavior.

研究积分第一中值定理，获得了其中值渐近性的一个新结果。

This paper is devoted to studying the asymptotic behavior of the intermediate point in the mean value theorem for first form curve integrals.

摘要讨论了第一类曲线积分中值定理"中间点"的渐近性质，得到了更具一般性的新结果。

The present paper presents a general existence result of periodic solutions for functional differential inclusion with nonconvex right side by means of the asymptotic fixed point theorem.

用Horn渐近不动点定理，给出具非凸右端函数的泛函微分包含问题周期解存在性的一般性结果。

In the paper,generalized forms for Cauchy s mean value theorem ab ou t complex function are given,asymptotic behaviors of the intermediate point as z→z 0 are discussed.

给出了复分析中中值定理更一般的形式，并讨论了当 z→z0 时中值点的渐近

Tom: You are right, he worked hard all the time.

你是对的。他一直都是努力工作。

Take shortcomings,failures,and mockings of others as commonplace and a drive to complete oneself,hold your own opinion over the evalution and disscution divested from others,afterwards sink into the state of eliminate mistakes if any or encourge oneself being not being influenced by the sayinngs of others or having no ideas to do.

把缺点、失败及别人的耻笑等看成是一种常事，当成完善自己的动力，对别人的评价和议论自己心中有主见，做到&有则改之，无则加勉&，不为人言所左右或无所适从。