问题的

Among many directions of the fixed point researches, it becomes main problem that the convergence problem about making approximating fixed point sequences and its application in control, nonlinear operator and derivative equation etc. The research of this problem will play an important role in its application in reality.

在不动点问题研究的众多方向中，关于构造渐近不动点序列的迭代收敛问题以及其在控制、非线性算子和微分方程等方面的理论结合及应用成为研究的主流问题，对这方面问题的研究会在实际运用中起到至关重要的作用。

According to the optimization design and reactor networks design of chemical system engineering, the method which restriction nonlinear programming problems can be transformed to the no-restriction no-linear programming problems was put forward.

针对化工系统工程中的优化设计、反应器网络设计等问题，提出了一种将有约束的非线性规划问题转化为无约束的非线性规划问题的北京化工大学博士学位论文方法，使用本论文提出的改进遗传算法对这类问题进行了求解，提高了计算效率和计算精度，能有效地寻找到全局最优解。4。

In order to improve the security, a signature scheme based on two hard problem assumptions is proposed. The security of the scheme is based on the difficulties of simultaneously solving the elliptic curve and quadratic residue. A attacker can't forge the signature of messages even if a attacker can solve theelliptic curve discrete logarithm problems or quadratic residue problem in the scheme.

为了提高签名的安全性，本文对Wang等人提出的签名方案进行改进，提出了一个基于椭圆曲线离散对数问题和二次剩余问题的数字签名方案，并对该方案的安全性进行分析，指出在椭圆曲线离散对数问题或二次剩余问题可解的情况下，攻击者也无法伪造消息的签名。

The basic tasd, principle and recommence of the unemployment problem were draw out from the analyzination and the research on the quality, main reason, distribution situation and feature, and the existed problem of the obtaining employment at present in this thesis.

本文通过对就业问题的性质、当前就业问题的主要原因、失业人员分布情况、当前就业的形势与特点、就业工作存在的主要问题进行分析研究，提出了解决我国失业问题的基本任务、指导原则和对策建议。

The basic tasd, principle and recommence of the un employment problem were draw out from the analyzination and the research on the quality, main reason, distribution situation and feature, and the existed problem of the obtaining employment at present in this thesis.

本文通过对就业问题的性质、当前就业问题的主要原因、失业人员分布情况、当前就业的形势与特点、就业工作存在的主要问题进行分析研究，提出了解决我国失业问题的基本任务、指导原则和对策建议。

These problems can seem to form a spectrum from simple, almost trivial issues, to increasingly complex ones that must be resolved as we move to greater maturity in the use and implementation of SOA and garner the corresponding business and IT benefits.

这些问题的涵盖范围看起来非常广泛，从简单的、几乎琐碎的问题，到日益复杂的问题，随着我们在使用和实现 SOA 并获得相应的业务和 IT 好处方面更加成熟，我们将遇到这些必须解决的问题。

ABSTRACT Some of the problems raised from the H〓 control theory and its applications are studied deeply in this dissertation. They are system model description in robust design problems---linear fractional transformation, singular H〓 problem which occurs when some of the conditions of the standard H〓 problem are not met, and the quadratic stabilization problem is studied from the point of H〓/μ synthesis.

本论文对H〓控制理论及应用中的一些问题进行了深入的研究，着重解决了鲁棒设计问题中的系统模型描述---线性分式变换，以及当H〓标准问题的某些条件得不到满足时所出现的奇异H〓问题。

In this paper,the Riemann boundary value problem for bianalytic vector function s is investigated using the theory of boundary value problem for analytic functions,we have not only found the solution method for bianalytic vector function s,but also established an explicit form of the general solution and the conditions for the solvability of the above problem.

利用解析向量函数边值问题理论，提出了双解析向量函数的R iem ann边值问题，并研究了问题的解法和解的一般表达式及可解性条件，得到了相应的可解性定理，同样方法可解决多解析向量函数的边值问题

With the idea of smoothing Newton method, we propose a new class of smoothing Newton methods for the nonlinear complementarity problem based on a class of special functions. In this paper, complementarity problem is converted into a series of smoothing nonlinear equations and a modified smoothing Newton algorithm is used to solve the equations. We use Newton direction and Gradient direction together in the algorithm which guarantees that our method is globally convergent. Also using another smoothing function, we reformulate the generalized nonlinear complementarity problems defined on a polyhedral cone as a system of smoothing equations and a smooth unconstrained optimization problem. Theoretical results that relate the stationary points of the merit function to the solution of the generalized nonlinear complementarity problems are presented, we use the modified smoothing Newton algorithm in generalized nonlinear complementarity problems, under mild hypothesis, a global convergence is proved.

本文一方面基于现有的各种光滑Newton法的思想和半光滑理论，利用著名的F-B互补函数的光滑形式，首先将互补问题的求解转化为求解一系列光滑的非线性方程组，然后给出了一种修正的光滑Newton法，该方法不仅放宽对函数F的要求，在Newton方程不可解时引入初始效益函数的最速下降方向，而且光滑因子的选择也比较简单可行，同时在适当的条件下，证明了其算法具有全局收敛性；另一方面，借助另一种F-B光滑函数，将多面体锥上的广义互补问题转化为一种光滑形式，讨论了优化问题的稳定点与广义非线性互补问题的解之间的理论关系，并将这种修正的光滑Newton法用于求解广义非线性互补问题中，在适当的条件下，该算法同样具有全局收敛性。

得 (1 2r ) A 1 + A2 = 0 由条件得 4π(1 )A1 + 2A2 = P P (1 2) A1 =, A2 = P 2π 2π由及二式的联立求解,得 42 Substitute the obtained A1 and A2 into the forgoing representations, we get (1 +)P rz (1 2)r ur = R2 R + z 2πER (1 +)P z2 ω= 2(1 )+ 2 2πER R P (1 2)R 3r 2 z σr = 3 2 2πR R + z R (1 2)P z R σθ= 2 R R + z 2πR 3Pz3 3Pr z 2 σ z = 5 ,τ zr =τ rz = 2πR 2πR5 43 将得出的A1及A2回代,得(1 +)P rz (1 2)r ur = R2 R + z 2πER (1 +)P z2 ω= 2(1 )+ 2 2πER R P (1 2)R 3r 2 z σr = 3 2 2πR R + z R (1 2)P z R σθ= 2 R R + z 2πR 3Pz3 3Pr z 2 σ z = 5 ,τ zr =τ rz = 2πR 2πR5 44 §8-4 Spherically Symmetric Problem For Space Among spatial problems, if the elasticity body's geometric shape,restraint condition and any external factors are symmetrical in a certain point (any plane which passes this point is all symmetrical one),then all stresses,strains and displacements are symmetrical in this point.

§8-4 空间球对称问题在空间问题中，如果弹性体的几何形状，约束情况以及所受的外来因素，都对称于某一点(通过这一点的任意平面都是对称面)，则所有的应力，形变和位移也对称于这一点。这种问题称为空间球对称问题。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。