椭圆系统

Proceed from general conclusion of algebra on the finite field, study this special algebra system of Elliptic Curve on the finite field, Discuss that sets up several theories of the Public Key Cryptosystems and the problems of implementation on it.

从有限域上的代数的一般结论出发，研究有限域上的椭圆曲线这一特殊的代数系统，讨论在其上建立公钥密码体制的若干理论和实现问题。

At first, this paper studies the structure and security situation of electric enterprises information network, then introduces the basic theory of intrusion tolerance. After that, we study the key technology of intrusion tolerance: set up a distributed intrusion detection system model based on mobile agent; study the object replication technology and improve the voting algorithm; analyze and research the elliptic curve encryption system.

论文首先研究了电力企业信息网络结构以及安全现状，接着介绍了入侵容忍的基本理论，然后着重研究了入侵容忍的关键技术：建立了一种基于移动Agent的分布式入侵检测系统模型；研究了对象复制技术，改进了表决算法；分析和研究了椭圆曲线加密体制。

Since theparabolic system is an approximation from the elliptic system under small ray angle,we may have reasons to question the result of the parabolic system under large rayangle.

由于抛物方程是椭圆方程在小掠射角条件下的近似，我们有理由对抛物系统在大掠射角情况下的考察结果的可靠程度保持怀疑。

This system can replace traditional elliptic pore size measuring method due to its efficiency and high precision.

本系统能取代传统的椭圆型孔径检测方法，简单迅速精度高。

Evolution of a phase transition system is an important topic with many applications. The crucial difficulty lies in the instability of ellipticity.

相变系统随时间的演化过程是一个有着广泛应用背景的重要理论问题，其核心困难在于椭圆不稳定性。

The influence of expanding-die diameter on the quality of finished products, such as the uniformity of deformation, the contour of a cross section and its ellipticity as well as the wall thickness of finished products, is discussed specially; a conception of relative radius of punch and the design criterion of it are given in this paper.

本文专门论述了机械扩径模具直径对成形品质的影响，提出了相对凸模半径的概念，系统分析了它对变形分布、成形件轮廓形状、椭圆度和壁厚的影响。

In the theory part, based on the rate-equation theory of four-level system, the expressions of output power and slope efficiency under the conditions of near-threshold and deeply pumping have been given. The effects of space distribution variables(the position of focusing point, dimension of pumping light and laser light and ellipticity)on the output characteristics were also discussed.

在理论部分，首先从四能级系统的理论出发，得到了近阈值条件和强泵浦条件下的输出功率和斜效率的表达式，并详细讨论了泵光聚焦位置，泵浦光和振荡光的光斑大小、椭圆度等空间变量对输出特性的影响。

According to the requirement of precision diameter measurement of the single crystal silicon sphere, the principle and characteristics of the measuring system were presented, and mathematical models were established for calculating the ellipticity of concentric interference rings with different beam incident angles.

针对标准单晶硅球直径精密测量的需要，本文在介绍标准硅球直径测量系统原理并分析其光路特点的基础上，根据建立的数学模型，对激光束斜入射标准板时产生的椭圆干涉图像进行了分析，并对不同入射角度时干涉环中心点带来的直径测量误差进行了研究。

The model in this paper takes the form as belowThe main contents and results in this paper are as follows:In section 1, we state our main analytical results on equilibria of the above system. First, several sufficient conditions for coexistence of the steady-state are given by the standard fixed-point index theory in cone. Second, the global structure of the coexistence solutions and their local stability are established by using bifurcation theory. Third, the multiplicity, uniqueness and stability of positive steady-state solutions to this system are derived by means of perturbation theory of eigenvalues, standard regularity theory, Sobolev embedding theorem and fixed-point index theory.

本文主要有两章内容：第一章研究了该模型正平衡解的性质，可分为三部分：第一部分运用极值原理、上下解方法和锥映射不动点指标理论得到正平衡解存在的充分条件；第二部分利用分歧理论给出了平衡态系统正分歧解的结构，并讨论了局部分歧解的稳定性；第三部分利用特征值扰动理论、标准椭圆正则化理论、Sobolev嵌入定理及指标理论讨论了正平衡解的多重性、唯一性及稳定性，并讨论了参数对解的影响。

This thesis is composed of following parts: the fundamental theory of the modern cryptology is briefly researched, in which the mathematic model of cryptology, data encrypt principle and Galois field theory related with elliptic curve crypto is discussed.

研究了现代密码学相关的基本理论，介绍了密码系统的数学模型、数据加密原理和与椭圆曲线加密密切相关的有限域理论； 2。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。