信赖

Nonmonotone trust region method applies nonmonotone technique to trust region method, which does not restrict a monotone decrease of the function value at each iteration.

非单调信赖域方法把非单调技术应用到信赖域方法中，不要求函数值在每一步都下降，有利于算法的收敛，特别是在坡度陡的低谷地带。

In Chapter 2, a nonmonotone trust region method with a line search technique is presented. Unlike traditional trust region methods, our method does not restrict a monotonic decrease of the objective function value at each iteration, but only requires an average of the successive objective function values decreasing.

第二章，我们提出了一类带线搜索的非单调信赖域算法，与传统的信赖域方法不同的是：我们的算法不要求目标函数值在每一步都有充分下降，而是要求目标函数的连续平均值充分下降。

During the iterations the trial step is truncated when necessary in order to keep the strict feasibility of the iteration points. It is shown that the LMTI approach and the STI approach have global convergence properties under some reasonable assumptions and will achieve local quadratic convergence rate under some even stronger conditions.

LMTI方法主要利用由有限内存BFGS公式的紧致形式获取的目标函数海色阵的近似矩阵构造信赖域问题模型并对其进行求解；而STI方法在构造的低维子空间上求信赖域子问题的解。

In the first chapter, the history of the trust region method based on quadratic model is introduced.

在第一章，我们首先介绍了基于二次模型的传统信赖域方法的概况，紧接着介绍了锥函数的概念和一些性质，最后介绍了锥模型信赖域方法的发展状况。

The choice of the trust region radius has an important effect on the efficiency of the trust region method.

而信赖域半径的选取对于信赖域方法的效率有着很大的影响。

Approximately 5% of subjects who had a perforation died within 14 days of the procedure. Risk of death was significantly increased by perforation after colonoscopy (OR, 9.0; 95% CI, 3.0 - 27.3) or after sigmoidoscopy (OR, 8.8; 95% CI, 1.6 - 48.5). The difference in risk between the two procedures has been narrowing because the risk of perforation from colonoscopy has decreased over the years, presumably from improvements in technology and in training.

约有5%发生肠穿孔的民众在筛检后14天内死亡，做完直肠镜或大肠镜后发生肠穿孔的民众死亡率明显增加（大肠镜：危险比，9.0；95%信赖区间，3.0 - 27.3；直肠镜：危险比，8.8；95%信赖区间，1.6 - 48.5），但这两种筛检方法的风险差异正在逐渐缩小中，可能是因为技术的改良与人员的加强训练，使得大肠镜的肠穿孔危险已逐年下降。

With this normal approximation, standard processes for statistical inferences such as hypothesis testing and confidence interval are developed for testing whether the process is capable and providing an interval estimate on CpkT, respectively.

我们也以理论证明的方式找出估计量的常态近似分配，透过常态近似分配，统计假设检定、信赖区间、信赖下限都可以用来检验制程是否是有达到特定的标准。

In the fourth chapter, we propose a new algorithm for solving the subproblem of TRCM method.

在第四章，我们综合已有的锥模型信赖域子问题解法，提出了一种修正的锥模型信赖域子问题解法。

However.it needs to resolve the subproblem repeatedly if the trial step results in an increase in the objective function.

但一般的信赖域方法为求得一定的下降性质的试探步，有时需要在一次迭代中多次求信赖域子问题。

We believe firmly that the success of enterprise comes from the superiorly quality products and the customers trust and aegis.We will try our best to return our customers with better super quality products and service.

我们深信企业的成功来源于产品的卓越品质，来源于客户的信赖与支持，我们一定会不懈努力，以更加优良的产品和服务来回报客户对我们的信赖。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。