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Because of the problem of convergence, the key techniques to complete the one step simulation were explored thoroughly. The geometry mapping method based on finite element model and inverse deformation was developed to get the approximate initial blank for one step simulation. The effective selection of convergence factor in Newton-Raphson method was studied. The divergence criterion in iterative process for one step simulation was put forward. Also the countermeasure to ill equations coefficient matrix was studied.

由于存在收敛性的问题，本文重点研究了一步模拟方法计算机实现的关键技术：提出了基于有限元模型的几何映射方法和反向变形方法来确定初始毛坯的近似解，研究了带收敛因子的Newton-Raphson方法中如何高效地选取收敛因子，提出了一步模拟迭代求解过程中的发散准则，并研究了病态方程组系数矩阵的修正方法。

In chapter 1, we discuss several iterative methods and their convergence conditions. While, we also present the techniques in proving the convergence theorem.

第一章，主要对几种迭代法的收敛性进行了讨论，总结了它们的收敛条件及证明各种迭代法收敛性的技巧。

In Chapter 1, we summarize several iterative methods and their convergence condition, the techniques in proving the iterative methodss convergence theorem.

现在，迭代法的研究日益成为解决各种非线性问题的核心，迭代法优劣的选择直接影响到各种非线性问题的结果的良好，所以迭代法的研究有着十分重要的科学价值和实际意义。

A new definition and a new iterative scheme are introduced and the result that the iterative sequence is strongly convergent to common zero point s of maximal monotone operators Ai(i=1,2,…,m) is obtained by using the techniques of Lyapunov functional and generalized projection operator,etc.

将引进一个新定义、给出一种新迭代算法，并利用Lyapunov泛函与广义投影算子等技巧，证明迭代序列强收敛于Ai的公共零点，i=1，2，…，m。

And also relative techniques involved, such as primary component analysis technique and convex technique, are introduced. And based on this, our method of surface reconstruction is described in detail. Still a method of border connection is brought forward. Using our method surface reconstruction can be well finished.

对所用到的主成分分析技术、聚类分析技术、凸壳技术等做了详细的介绍，并在此基础上详细阐述了自己的算法，提出了一种新的边界缝合技术，较好的解决了散乱点曲面重建问题。

For a finite-security and finite- state financial market with three forms of friction: ask-bid spread, transaction costs and tax, by using the theory of convex analysis and some optimization techniques, a series of necessary and sufficient conditions are established to characterize weak and strong no-arbitrage respectively.

对存在买进卖出价差、交易费和税收三种摩擦和有限个可能的自然状态的金融市场，利用凸分析理论和最优化技术刻划出了强无套利和弱无套利的一系列充要条件，以往许多这方面的结果均是我们的特例。

Many different techniques exist for calculating the convex hull of a set of points.

存在着许多不同的方法计算的一个点集凸包。

Based on that fact, in terms of convex optimization techniques, the Maximum Allowable Transfer Interval and controller are obtained.

根据此充分条件，通过建立并求解一个凸优化问题，得到网络化控制系统的最大允许传输间隔以及此时的控制器。

And the design of the optimal reliable guaranteed cost controller is formulated as a convex optimization problem, which can be solved by the existing convex optimization techniques .

在此基础上，通过建立和求解由一组线性矩阵不等式所表示的凸优化问题，得到最优可靠保性能控制律的设计方法。

Thanks to the use of water cooling techniques.

它比传统的地面的住宅节约25 ％的能源。

The studies on the developing of new media are very important to the increasing of the area density of HDD and to the implementation of hybrid recoding technology.

光磁混合记录方法，是一种可以突破超顺磁极限的限制，并进一步提高硬盘记录密度和读写速率的一种新型超高密度信息存储方式。

In io, mTOR inhibition promotes T cell anergy under conditions that would normally induce priming.

体内研究中，在正常可激发免疫反应的条件下，抑制mTOR可促使T细胞无能。