问题求解

For problem II, many references have studied it and obtained its common solutions, symmetric solutions, skew-symmetric solutions and its optimal approximation constrained solution, but the representation of its solutions are complicated.

本文首次采用迭代法系统的研究了它求一般解、对称解、反求解约束矩阵方程及其最佳逼近的迭代法的研究对称解、中心对称解、中心反对称解、自反矩阵解、反自反矩阵解、双对称解、对称次反对称解及其最佳逼近问题，并首次成功地解决了它求中心对称解、中心反对称解、自反矩阵解、反自反矩阵解、双对称解与对称次反对称解及其最佳逼近的问题，拓广和改进了已有的研究成果。

By maximizing the constraint functions, the semi-infinite program was transformed into a standard linear programming problem.

再利用约束函数最值法，上述导出的半无限规划问题变成了普通线性规划问题进行求解。

Computer programs have been developed for self-adaptive analysis, and representative numerical examples for various problems were analyzed.

本文编制了上述问题的自适应求解程序，并对各种问题中代表性的算例进行了分析。

Bringing security metric as a QoS parameter is a new strategy in QoS routing.Aiming at the problems that the way of characterizing the link safety using only one security metric in QoS routing,a strategy that using multi-security metric as routing parameter is proposed.This will characterize the link safety much more exact.The authors will use the strategy mentioned before for secure routing based on differentiated service.

将安全度量作为一种QoS参数进行路由选择是目前网络安全路由研究的一个新思路，针对现有方法采用一个安全度量参数描述链路安全性，进行路由选择存在的问题，提出一种多安全度量的链路安全性描述策略，能够更加全面准确地描述网络链路的安全特征；该描述策略应用于区分服务模型下的安全路由选择，并提出了基于改进的非支配遗传算法的多目标最优化安全路由算法求解这一多目标多约束的NP完全问题。

Bringing security metric as a QoS parameter is a new strategy in QoS routing.Aiming at the problems that the way of characterizing the link safety using only one security metric in QoS routing,a strategy that using multi-security metric as routing parameter is proposed.This will characterize the link safety much more exact.The authors will use the strategy mentioned before for secure routing based on differentiated service.An algorithm named MOSRA（Multi-Object Optimal Secure Routing Algorithm）based on nondominated sorting genetic algorithm under Differentiated Service Model is proposed to solve the NP complete.

将安全度量作为一种QoS参数进行路由选择是目前网络安全路由研究的一个新思路，针对现有方法采用一个安全度量参数描述链路安全性，进行路由选择存在的问题，提出一种多安全度量的链路安全性描述策略，能够更加全面准确地描述网络链路的安全特征；该描述策略应用于区分服务模型下的安全路由选择，并提出了基于改进的非支配遗传算法的多目标最优化安全路由算法求解这一多目标多约束的NP完全问题。

This paper presents a New method of calculating torsion problem of a straight bar with rectangular cross section.

首先给出计算弹性矩形截面直杆扭转问题的一种新方法，并采用矩形膜振动位移函数来求解该问题的应力函数。

To improve solution efficiency,the feasibility of the optimization problem is analyzed to found the parallel environment,and the parallel program of spot-weld optimization is exploited with C++ and Fortran languages.

为了提高求解效率，对优化问题的可并行性进行了分析，搭建并行环境，用C++和Fortran语言开发了焊点优化问题的并行程序。

Worldwide geophysicists have made a lot of studies on the problem and putforward various wavelet processing methods.

实际上这种特性既非严格理论推导出的结论也非实测结果，只不过是在解决实际问题时使这一问题可以求解而做的一种近似假设。

In PERT (program evaluation and review technique), the process time is indefinite, so it is necessary to solve the probability distribution of process time, and to solve the problem is also the core of PERT.

PERT技术中工序作业时间是不确定的，因而需要求解不确定性工序时间的概率分布问题，这也是PERT应用的核心问题。

Then a numerical method, called Stepping Impulse Method, is introduced in the thesis to solve the percussion problem on hypothesises of instantaneity and Poisson's coefficients of restitution.

为处理复杂多体系统的斜碰撞问题，我们根据Poisson给出的冲量恢复系数的定义和碰撞的瞬时假定，给出了用于解决多体系统单点碰撞冲击问题的数值求解方法：步进冲量法。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷