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In Chapter 2, the D-symmetric solutions of matrix equation A~TXA = B on the linear manifold S ={X ∈ D~(-2)SR~|XZ = Y, Y = Y{D~2Z+D~2Z, Z~TD~2Y = Y~TD~2Z, Y,Z∈ R~}, by applying the generalized singular value decomposition of a matrix pair, the necessary and sufficient conditions for the existence and the expressions for the D-symmetric solutions of matrix equation A~TXA — B on the linear manifold are established.

运用矩阵对的广义奇异值分解，给出了这类线性流形上矩阵方程A~TXA=B存在D对称解的充要条件及其通解的表达式。另外给出了它的D对称最小二乘解的表达式。

In Chapter 4, the centro-symmetric solutions of matrix equation A~TXA = B on the linear manifold S ={X ∈ CSR~|||XY - Z||= min, Y,Z ∈ R~|}, using the quotient singular value decomposition of matrix pairs, the necessary and sufficient conditions for the existence and the expressions for the centro-symmetric solutions of matrix equation A~TXA = B on the linear manifold are established.

利用矩阵对的商奇异值分解，给出了这类线性流形上矩阵方程A~TXA=B存在中心对称解的充要条件及其通解表达式。

The basic solutions were defined based on local coordinate system, and then the coordinate transform relation between the static and dynamic characteristics of magnetic bearing with arbitrary structure and the basic solutions were deduced.

研究了电磁轴承静动特性的计算方法，定义了基于局部坐标系的电磁轴承静动特性基础解，推导了任意磁极结构的电磁轴承动力学特性与基础解之间的坐标转换关系；在此基础上提出了利用基础解计算任意磁极结构的电磁轴承静动特性的方法，该方法简捷、快速，是电磁轴承静动特性计算的一套规范化、标准化的方法。

By employing the local Lipschitz condition and Picard sequence, the local existence-uniqueness of solutions of stochastic functional differential equations of Ito-type is firstly obtained. Furthermore, a continuation theorem for stochastic functional differential equations of Ito-type is given by using stochastic analysis technique and the quasi-boundedness condition. Finally, by establishing some delay differential inequalities and using properties of H_m-functions, a stochastic version of Wintner theorem and the global existence-uniqueness of solutions of stochastic functional differential equations of Ito-type are given. The results generalize the earlier publications.

首先，利用局部Lipschitz条件和Picard序列，获得了伊藤随机泛函微分方程解的局部存在唯一性；其次，利用随机分析技巧和拟有界条件，建立了伊藤随机泛函微分方程解的延拓定理；最后，通过建立一些时滞微分不等式和利用H_m-函数的特性，得到了Wintner定理的随机版本和伊藤随机泛函微分方程解的全局存在唯一性，推广了已有的一些结果。

We use Hodges-Lehmann statistic to do significance test for those factors. The multiplication model is applied in the quantitative analysis and weighted least squares method is introduced to solve the multiplication model. Although the matrix of coefficients is not of full rank and the solutions of the multiplication model are not unique, we prove that all those solutions are equivalent in some sense.

本文用Hodges-Lehmann统计量对风险因子作显著性检验，将乘法模型用于数据修匀和风险因子的定量分析中，并提出了用加权最小二乘法求解风险因子的风险度量，在系数矩阵不满秩、解不唯一的情况下证明了所有解在某种意义下的等价性。

The fix point of solutions and the derivatives of solutions of comples meromorphic function coefficents higher order of comples homogeneous linear differenliad equations are studied,and get two results of fixed point of homogeneous higher order linear differenliad equations with Meromorphic Function Coefficents,the results obtained generalize the related results of some authors.

研究了复域线性微分方程的解及其解的导数的不动点与超级问题，得到了亚纯函数系数的齐次线性微分方程的解及其解的导数的不动点的一个结果，所得结果推广了一些相关结果。

At the same time, this year recommended also earned the title "if so, how far the highest award-an invitation to the Mainland 100 financial sector CIO (Chief Information Officer or CIO) short-list of enterprises of hunting year recommended products and solutions in response to meticulosity, rigorous evaluation of the mark at the end of the day, and therefore have produced and published" for the 2009 China top financial year of it products and solutions recommended list.

同时，本次年度推荐堪称截止目前为止"含金量"最高的评选活动——特别邀请到国内100位金融行业的CIO对入围的企业自荐年度推荐产品和解决方案进行缜密、严格的评价打分，并由此最终产生并公布"2009中国优秀金融IT产品及解决方案年度推荐"名单。

On the one hand,by using the monotone iterative method with upper and lower solutions or anti-order upper and lower solutions,the author obtains the existence of maximum solution and minimum solution.

存Banach空间，一方面运用一般上下解及反序上下解单调迭代方法，并结合非紧性测度的性质，研究了二阶常微分方程周期边值问题最大解与最小解的存在性。

Furthermore, we will discuss the corresponding decay rates problem when the viscous term tends to zero.The first part is about the local existence. We will regularize the equations by the standard mollifier to get the approximate solutions . Then by making uniform estimates to the approximate solutions and by passing to the limit, we obtain the local existence for the above problem.

我们主要研究了此方程组古典解的局部存在性，爆破准则以及通过粘性消失方法来研究如上方程组的局部存在性和收敛率问题，主要结论有：(1)解的局部存在性利用光滑子对方程组进行正则化，从而得到原方程组的逼近解。

For the monostable equation, by considering the mixing of traveling wave solutions and the solution independent of spatial variable, other new types of entire solutions are obtained.

另外，我们也利用单调动力系统理论给出了一些判断与空间变量无关的整体解存在的充分条件。

Panorama Many people are dancing in a large sitting room.

在一个大客厅里，许多人在跳舞。

We fully understand how a microwave oven cooks food, it is first necessary to talk ...

我们充分理解一个微波炉煮的食物，这是首先要谈。。。