查询词典 paper-cutting

In this paper, we introduce the algorithm of Schoof-Elkies-Atkin to compute the order of elliptic curves over finite fields. We give out a fast algorithm to compute the division polynomial f〓 and a primitive point of order 2〓. This paper also gives an improved algorithm in computing elliptic curve scalar multiplication. Using the method of complex multiplication, we find good elliptic curves for use in cryptosystems, and implemented ElGamal public-key scheme based on elliptic curves. As a co-product, we also realized the algorithm to determine primes using Goldwasser-Kilian's theorem. Lastly, the elliptic curve method of integer factorization is discussed. By making some improvement and through properly selected parameters, we successfully factored an integer of 55 digits, which is the product of two 28-digit primes.

本文介绍了计算有限域上椭圆曲线群的阶的Schoof-Elkies-Atkin算法，在具体处理算法过程中，我们给出了计算除多项式f〓的快速算法和寻找2〓阶本原点的快速算法；标量乘法是有关椭圆曲线算法中的最基本运算，本文对[Koe96]中的椭圆曲线标量乘法作了改进，提高了其运算速度；椭圆曲线的参数的选择直接影向到椭圆曲线密码体的安全性，文中利用复乘方法构造了具有良好密码特性的椭圆曲线，并实现了椭圆曲线上ElGamal公钥体制；文中还给出了利用Goldwasser-Kilian定理和椭圆曲线的复乘方法进行素数的确定判别算法；最后讨论了利用椭圆曲线分解整数的方法并进行了某些改进，在PC机上分解了两个28位素数之积的55位整数。

Paper is important is people's daily life, but the paper production process is very complicatedly.

纸张在人们生活中所占的地位越来越重要，而造纸生产过程是一个十分复杂的过程。

This paper gives a simple idea about the problems existing in students' writing: 1 psychological blockage, such as anxiety, lack of interest so on and so forth. 2 Chinglish frequently appears in Chinese students' composition. That is to say Chinese students often use Chinese way of thinking to writing English composition. 3 When Chinese students write, they usually commit intralingual error. Intralingual error is the mistake that students often make when they choosing words, making sentences. It also includes grammar mistake. 4 Chinese students often don't know how to organize the ideas when they face the composition topic. As a result, the compositions written by most of Chinese students don't have clear topic sentence. 5 Chinese students' compositions are usually very boring and dull. Based on the problems that exit in Chinese students' composition, this paper put forward five teaching strategies: 1 English teachers should foster positive emotion when they teach writing.

本课题简单阐述了中学生英语写作中普遍存在的5个问题：1、对英语写作存在心理障碍，比如畏惧心理等；2、中学生英语作文存在大量"中国式英语"，即学生经常借用汉语思维进行英语写作，使得文中出现不符合英文习惯的句子和表达；3、中学生在进行英语写作时经常犯言内错误，言内错误指学生在用词，造句及句法等方面经常容易犯的错误；4、中学生在面临所给的作文题目时不知道如何审题，写出来的作文中心思想不明确；5、中学生英语作文普遍存在内容单调贫乏的问题。

Based on the intellectual capital theory and core competence theory, this paper has analyzed the composition of the intellectual capital of scientific research institution. Depend on the generally model of core competence, this paper propose the core competence model based on the intellectual capital of scientific research institution.

本文在对智力资本和核心竞争力理论进行研究的基础上，分析了科研机构智力资本的构成，借鉴核心竞争力的一般形成模型，提出了建立基于智力资本的科研机构核心竞争力的模型。

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。

And then, this paper provides a new method of sensitivity analysis which is based on the cosine of vectors'angle. Finally this paper makes compositor and sensitivity analysis on the model of urban sewage dealing factory constructing project.

最后，论文将提出的改进后的多属性评价方法以及基于向量夹角的权重敏感性分析法对城市污水处理厂建设项目评价模型进行了排序并对其权重敏感性进行了分析和度量，应证了论文的观点、方法与结论。

In order to improve the performance of aerostatic bearing and enhance the reliability of system, the chief works of this paper represents as follows: First, on the foundation of development and present research situation of internal and external aerostatic bearings, this paper summarizes the principle of aerostatic bearing, according to several assumptions of work conditions, two-dimensional Reynolds equation of isotherm compressible fluid is deduced.

为改善气体轴承的性能，提高气浮轴承转子系统的安全性、可靠性，本文进行了如下研究工作：首先，本文在综述了国内、外气体静压轴承的发展历史和研究现状的基础上对气体静压轴承基本原理进行了概述，根据小孔节流静压气浮轴承的工作状况，作了若干假设，在此基础上导出了描述气膜压力场的二维可压缩Reynolds方程。

The paper puts forward the mechanism of combined waveform and computation of a SPWM area center equivalent.Harmonic of double pole SPWM waveform is analyzed in this paper.

文中给出了按照面积中心等效法合成SPWM波形的机理以及面积中心等效算法，并对双极性面积中心等效法生成的SPWM波形进行了谐波分析。

The paper investigates finite element theory、mechanical vibration theory、thermal mechanics theory. It analyzes and researches torpedo car structure through summarizing the practical project experience. This paper establishes the reasonable finite element computing model. So as to make sure the computation gets analysis results more accurate.

本文研究了有限元理论、机械振动理论、计算机辅助工程分析方法和热力耦合理论，在总结实际工程经验的基础上对混铁车罐体结构进行分析研究，建立了合理的有限元模型，以求达到相对精确的分析结果。

It is more difficult to work on stone than on paper due to stones having diverse veins and shapes of concavo convex and different qualities making it no easy thing to present as nature a character as that on paper.

奇石微书的创作比纸上更加难。

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。