查询词典 archimedically ordered number field

Fuzzy C-mean algorithm has been being well used in the field of color image segmentation with some disadvantages such as:Predesignation of the number of clustering classes,high computational complexity and local optimal solution etc.

模糊C均值聚类算法广泛用于彩色图像分割，但该算法存在需要预先指定聚类数目、计算量大、耗时长且易陷入局部最优等缺点。

This paper first analyses and summarizes the ststus quo and evolution trend of encryption, some common used cryptograph are introduced, including the algorithms used in symmetric cryptosystem and asymmetirc cryptosystem. We describe the theory of each algorithms and compare the elliptic curve cryptosystem with the other two asymmetric cryptosystems to show the advantages of this algorithm. Second, the principle of ECC is discussed, including the math foundation of ECC, basic conception of elliptic curves, constructiong idea of ECC, operation on the elliptic curve and so on. Third, the current attacks of ECC were analyzed deeply, and an algorithm based on limited prime number field was constructed. We analyzed its realizability in theory, and implement it by using certain function of MIRACL software package. Latter half in this paper, the implementation model of a simple elliptic curve encryption system which based on GF has been introduced. The paper also put a deep analysis on the algorithm of point addition and point multiplication.

本文首先对密码技术的发展现状及其发展趋势进行了分析和综述，详细的介绍了私钥密码系统和公钥密码系统的发展，说明各种算法的原理和优缺点，并给出了一些典型的密码体制的简要分析，重点将椭圆曲线算法与其它几种公钥密码算法比较，说明椭圆曲线算法的优势；其次，探讨了椭圆曲线密码体制的原理，包括椭圆曲线密码的数学基础、基本概念、椭圆曲线密码体制的构造思想等问题；第三作者对椭圆曲线的攻击现状作了详细的分析，针对所使用的大素数域F_p，设计了素数域上安全椭圆曲线产生的算法，从理论上做了可实施性分析，从软件上做了具体实现；在本文的后半部分，提出了一个简单的基于有限素数域上的椭圆曲线加密方按算实现模型，并对SECES中设计的点加和点乘运算进行了深入分析。

Block probability of field network is analyzed by means of finite source queuing model combined with monte-carlo simulation.According to this concept,the formula of network throughput and average delay are obtained,and then an investigation is given for the effect of user number and variance of topology structure as well as capacity of date link.

采用有限信源排队模型及蒙特卡洛仿真相结合的方法分析了地域网的阻塞概率，并据此给出了网络吞吐量及延时性能的解析表达式，最后分析比较了不同用户规模，不同拓扑结构及链路容量对网络性能的影响。

Even fields such as number theory that are part of pure mathematics are now important in applications, though they are not generally considered to be part of the field of applied mathematics per se .

即使等领域的一些理论，是纯粹数学，现在重要的应用程序，但他们不是一般被认为是部分领域的应用数学本身。

The quartic field is an important one among Galois number fields.

一个Galois数域何时具有正规整基是非常重要的。

In 40 years of worldwide experience in the field, the company has not only optimised production techniques for classic bulk sacks for sugar, flour, chemicals, etc., but has made the advantages of lightweight raffia fabric available to a number of new market sectors.

在该领域，公司在全球有40年的经营经验，不仅优化了用於糖、面粉、化学品等传统散料包装袋的生产技术，而且还将轻量的编织袋推广到了多个新的市场领域。

Especially, the neumerical result would be accurate over the rational number field.

特别地，在有理数域上用计算机求得的结果是精确的。

We show that there is a polynomial over the rational number field Q corresponding to a given porpositional formula in a given many-valued logic.

本文证明了对于给定的多值逻辑系统中的命题公式，存在有理数域上的多项式与之对应。

A field inversion is the most expensive operation on scalar multiplication, and the number of inversion determines the performance of scalar multiplication.

求逆是标量乘法中最耗时的运算，求逆运算次数的多少直接决定标量乘法的性能。

Loop self-inductance: the total number of field line loops around the complete current loop per amp of current in the same loop.

这就是我们平时经常谈到的电感和环路的面积有很大关系，其实，我们考虑的是整个环路的电感。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。