算出

Chapter 3 studies the compactness of product operators of a composition operator C〓 with the adjoint C〓 of another composition operator C〓 on weighted Bergman spaces A〓. We give some conditions in terms of angular derivatives of the inducing maps ψ and ψ for the operator C〓C〓 or C〓C〓 to be compact.

第三章研究了加权Bergman空间上的一个复合算子C〓与另一个复合算子C〓的共轭算子C〓的乘积C〓C〓与C〓C〓的紧性问题，我们用φ与ψ在〓D上的角导数的某种关系给出了C〓C〓与C〓C〓在A〓上为紧算子的一些判据。

An complete example with the model is given using the AHP method, which illustrates the practicability and computability of both the model and its solution.

本文还对该模型用AHP法给出了一个完整的求解算例，表明该模型和解法均具较强的实用性和可算性、可操作性。

First,an optimal filtering operator on the continuous fractional Fourier domain is provided according to the orthogonality principle about the linear minimum mean square error estimation,and then,a discrete algorithm of the filtering operator is further proposed.

首先由线性最小均方误差估计的正交条件出发，得到了连续分数阶傅立叶域上的等效Wiener滤波算子的求解方法；在此基础上，进一步给出了滤波算子的离散化算法。

For solving problem (1), this dissertation first presents a sufficient and necessary condition by dealing with inequalities using projection operator in convex analysis, and then proposes a kind of new neural network model based on the constraint domain:〓(2) Where P is a projection operator on Q.

本文利用凸分析中的投影算子处理不等式约束，首先给出二次规划问题(1)解存在的充分和必要条件，据于此提出一种新的基于约束区域神经网络模型〓(2)来进行求解，其中P为Q上的投影算子。

Aimed to the differential equation in form of convolution and the functional presented by M. E. Gurtin, the matrix operator which includes the differential equation and the boundary condition is proved self-adjoint, furthermore a general variational principles in form of convolution and the preparation theorem are given and proved.

针对M.E.Gurtin提出的含卷积运算的抛物型偏微分方程及其对应的泛函，运用泛函势算子理论，从理论上证明了含卷积运算的抛物型偏微分方程及其边界条件所对应的矩阵算子有势，进而给出并证明了具有普适意义的含卷积运算的变分定理及预备定理。

Through analyzing the existent methods for solving the intersection point coordinate of straight line and highway curve ,combined with the general mathematical model for highway curve ,a general solution model for the intersection point coordinate is given.

通过对现有的直线与线路曲线交点坐标解算方法的分析，结合线路曲线的统一数学模型，给出了直线与线路曲线交点坐标的统一解算模型。

According to this strategy a new crossover operator is designed and tested.

据此研制了相应的交叉算子，并给出了一种实现方式，试验计算验证了该算子的有效性。

In Chapter 3, using space decomposition and block operator matrices, we study theΓ-inverse of operators in a complex Hilbert space.

我们刻画了算子A的关于算子P和Q的Γ-广义逆A_~+存在的充要条件，并且当存在A_~+时，我们具体地给出了A_~+。

In this paper we introduce some new definitions, they are the generalizations of those concepts in Lie theory, and we discuss initially the elementary properties of operator Lie algebras. Finally, the famous Jordan-Holder theorem and the uniqueness of decomposition theorem of operator Lie algebras are proved.

在这篇文章里，我们将李代数理论中的诸多概念加以推广，并初步地探讨了算子李代数的性质，最后还给出了算子李代数的一个分解定理，其唯一性也得到了证明。

Using the decomposition theorem of superoperators, we present a general method to solve the master equations with superoperator generators of su (1, 1) and su (2) Lie algebras.

利用超算符的分解定理，给出了求解含有su（1，1）或su（2）超算符生成元的一大类主方程的一般方法。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。