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An integral operator I(subscript n+p) defined by Hadamard product is introduced. Making use of this operator, the subclass S(superscript * subscript n+p) of p(superscript -) valent analytic function is defined in the open unit disk, the inclusion relation of S(superscript * subscript n+p+1)S(superscript * subscript n+p) and the best dominant function of differential subordination q1 are obtained. Furthermore, some conclusions are made according to the special parameters A and B.

用Hadamard卷积定义线性算子I，并利用算子I定义在单位圆内的解析的p叶函数类S(上标*下标 n+p)，给出了此函数类的包含关系S(上标*下标 n+p+1)S和微分从属的最佳控制函数q1，并根据参数A，B取不同的特殊值得出了相应的推论。

This dissertation studies perturbation bounds of infinite dimensional operatorsand operator equations.We obtained the following main results.

本文讨论了Hilbert空间和Banach空间上线形有界算子和算子方程的扰动理论，得到了一系列结果。

Secondly, the characters of abstract operator are discussed and the operator is proved to be an infinitesimal generator of analytic semigroup.

然后，讨论了构造的抽象算子的基本性质，证明了抽象算子的生成元性质。

In chapter 1, as a preparative knowledge, the main results about symmetry theoryand Wus method are introduced, in addition some fundamental definitions, such as trans-formation group, infinitesimal operator, prolongation, first integral, infinitesimal criterionfbr invariance of an ODE, characteristic set are recalled.

第一章中作为预备知识简单介绍了对称理论和吴方法，并给出了一些基本概念和理论，如变换群、无穷小算子、算子延拓、首次积分、微分方程在对称下不变的判别准则和微分特征列集算法。

Subsequently, we discuss the generalized derivable mappings at zero point on standard operator algebras and show that every generalized derivable mapping at zero point on standard operator algebras is a generalized inner derivation.

其次又对标准算子代数上的在零点广义可导的线性映射进行了讨论，证明了标准算子代数上的在零点广义可导的线性映射是广义内导子。

To adjust the trust value, we adopt the Proportional operator and Integral operator. The simulation experiments show that agent can provide valuable information to the user. The global performance under distributed mode can reach the 73 percent of the global performance under centralized mode with perfect information. As the time goes on, the agent can adapt to the user's need gradually.

的分布式合作信息推荐的性能，Agent之间基于信任联系进行合作，采用控制理论中的比例算子和积分算子进行局部信任调整，实验表明，分布式信息推荐的质量达到了信息完备状态下集中式全局最优的73％，随时间变化，系统性能的逐渐优化也体现了算法的学习能力和适应性。

Firstly, we discuss the characterization of eigenprojections at zero of thegeneralized Drazin invertible operator on Banach space. By using the techniqueof block operator matrices, we extend the results that the characterization of eigen-projections at zero of matrices to operators in B.

中文摘要我们首先讨论了广义Drazin可逆算子在0点的特征投影的刻画，利用算子矩阵分快的技巧将关于矩阵在0点特征投影的刻画的一些结果推广到了Banach空间上。

Eliminating the restriction of the characteristic of field ,the forms of invertible linear operator preserving inverses of matrices over full matrix space with at least four elements are described.

去掉了域的特征限制，刻画了至少包含4个元素的任意域 F上的全矩阵空间Mn的保逆的可逆线性算子形式。利用保幂等的结论证明了f为Mn上保持逆矩阵的可逆线性算子当且仅当存在P∈GLn，使得f=εPAP-1，A∈Mn，ε=±1∈F；或者存在P∈GLn，使得f=εPATP-1，A∈Mn，ε=±1∈F

Using the similar single-difference mathematical model which is base on the character of GPS landslip monitoring to gain the distortion of the coast by dissolving at single epoch, can avoid the delicacy problem of the jumpiness detection and repair.

根据高精度GPS滑坡监测的特点建立的单历元直接解算监测点滑坡变形信息的似单差模型，避免了周跳的探测与修复这一棘手问题；双差模糊度的解算变得更为容易；避免了网平差这一环节，有利于提高数据处理的响应速度；同时，该模型可适用于静态监测和动态监测两种监测模式。

Based on the analysis of some aspects, such as the approximative algorithm of FOC, the Tustin transform theory and its generating function formula's character, the convergence guarantee of binomial power function by Maclaurin expanding, and the consideration of the limitation of conventional methods, an improved method is proposed to compute the numerical evalution of FOC using PSE and Tustin transform and is further applied to solving the linear FOS.

以分数阶算子近似方法的分析研究为基础，基于Tustin变换理论及其用于分数阶算子的离散生成函数公式特点，利用二项式幂函数的Maclaurin展开能够保证收敛的特性，考虑常用算法的局限性，提出了一种改进的基于幂级数展开和Tustin变换的分数阶运算方法，并应用于线性分数阶系统的求解，给出了递推算法的详细推导。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。