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Firstly, some basic concepts about ECC are introduced;then the scalar multiplication under affine coordinate is discussed, we make a research and analysis of the side channel attack of scalar multiplication used in portable device, give out a new scalar multiplication algorithm which has the advantage of efficiency over other protected algorithm; and an improvement of the standard scalar multiplication algorithm proposed by IEEE1363 is made with the efficiency increasing by about 10%; at last, we deal with the using of complex multiplication in scalar multiplication algorithm, we generalize the methods and deduce a complete computing procedure, with proposing a new method which used several different fast endomorphism ,we give out an approach to boost the scalar multiplication with fast endomorphism.

本文首先介绍了椭圆曲线密码的有关基本概念；其次介绍了椭圆曲线上点的标量乘法在仿射坐标下的计算，对一般便携设备上的椭圆曲线点的标量乘法的边信道攻击做了研究与分析，给出了一种在效率上优于其它可抵抗边信道攻击的标量乘法的新算法，并对IEEE P1363 标准给出的标量乘法做了改进，使得标量乘法的运算效率提高了近10%；最后介绍了利用复乘计算标量乘法的方法，对已有的方法进行总结归纳，得出完整的计算过程，并针对两类超奇异椭圆曲线给出了一种利用多个可快速计算的复乘的标量乘法，得出一类普遍的结果，并给出了进一步用复乘加快标量乘法的思路。

In the first chapter, we introduce the development of the composition operator theory, give some definitions which will be used in the paper, and give the main results of the paper.

第一章我们对复合算子的发展作了简单介绍，给出了本文常用的定义和主要结果。

For this type of new model,we study it mainly from these ways:First,we make further research on the nature features of their distributions;give out the probability distribution of the mixed stochastic variables,and the statistical features and the approximate distributions of the short-term individual risk models. Also the relationships between the total amount of compound compensation and individual one were investigated.At last we give out a kind of practical calculation method for the individual risk model.That is the calculation of the number of claims translating into the calculation of Vandermonde determinant.Second,a kind of risk model with main claims and by-claims is built under specific conditions.

对于这类有主副理赔的风险模型，我们主要从以下几个方面进行研究：首先，对短期个别风险模型和长期聚合风险模型的理赔总额的分布性质及特征做了较深入的研究，给出了混合型随机变量和的概率分布和短期个别风险模型理赔总额的统计特征与近似分布；在复合分布的框架下，研究了聚合风险模型理赔总额和个别理赔额之间的分布关系，给出了和个别理赔额对应的理赔次数的实用计算方法，即在总索赔额服从复合泊松分布时，把不同理赔额对应的理赔次数的计算转化为线性方程组的计算。

We give people an opportunity to give every week, but this is not compulsory.

每星期我们有奉献的时间但这不是必须的。

Fail , go bad , give way , die , give out , conk out , break , break down

给你3愿望，你想要什么？拥有你的记事本吗？

Stop operating or functioning同义词:fail, go bad, give way, die, give out, conk out, break, break down

离去，走，进行，变成，趋于，达到，求助于，诉诸vt。

Unless you are prepared to give up something valuable you will never be able to truly change at all, because you'll be forever in the contral of things you can't give up.

除非你准备放弃某些有价值的东西，否则你根本不能真正变革，因为你永远摆脱不了你无法放弃的东西的控制。

Give him praise with the sound of the horn: give him praise with corded instruments of music.

要用角声赞美他，鼓瑟弹琴赞美他。

Give him praise with instruments of brass and in the dance: give him praise with horns and corded instruments .

击鼓跳舞赞美他，用丝弦的乐器，和箫的声音赞美他。

The obligation to give truthful statements and truthful answers to judicial functionaries, in other words, the obligation to give truthful and corroborative evidence.

证人有向司法人员如实陈述和回答所提问题的义务，即证人有如实佐证的义务。

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。