元数学的

This article first introduces the math foundation required by ECC,including the addition rule for elliptic curve point defined over finite field.Then , the principle of ECC is discussed and its security and efficiency of ECC are analyzed.Third, a cryptosystem is designed through analyzing the security requiration, choosing the elliptic curve domain parameters,denoting field element,elliptic curve and elliptic curve point,choosing associate primitves and schemes andpartitioning functional module.Forth, how to develop a crytosystem based on elliptic curve encryption algorithm is investigated.Fifth, a cryptosystem we have developed by us and the testing result is described.

本文首先介绍了ECC的数学基础，对有限域上椭圆曲线点的运算规则进行了详细描述；其次探讨了ECC的原理，分析了ECC的安全性和有效性；第三，设计了一个基于ECC的加密系统，包括系统的安全需求分析，域参数选择，域元、椭圆曲线、点的表示，原语和方案的选择，及整个系统的模块功能划分；第四，在设计的基础上，研究如何开发一个基于椭圆曲线的加密系统；第五，描述了一个我们已经设计与开发的基于椭圆曲线的加密系统，并给出了相应的测试结果。

In the article, the dynamic logical diagram formulation and its mathematics description for the ESD framework are produced. In order to enhance its function of modeling and connection with the system structure, this paper proposes a strategy of hierarchical modeling, and unifies a new algorithm of ESD, which develop a sort of software of dynamic system visualization modeling and analysis based on the ESD.

文中对ESD的定义进行了完善，给出了ESD框架的动态逻辑图元表示形式及其数学描述，为提高其建模功能以及与系统结构关联的能力提出了层次化建模策略，并结合新的ESD算法开发了基于ESD的动态系统可视化建模与分析软件。

According to the robust control H2 optimal performance specification, the practically desired diagonal elements of the system transfer matrix are suggested, and in view of the coupling action existing between the two closed loops, dynamic detuning factors are introduced to design the optimal double-loop controllers, and their executable PI/PID forms are derived using a mathematical rational approximation approach.

根据鲁棒控制H2最优性能指标，提出实际期望实现的系统传函矩阵中的对角元。考虑到两个闭环之间的耦合作用，引入动态解调因子设计最优双回路控制器，采用数学有理逼近的方法得到其实际可执行的PI/PID形式。

Making students learn to ruminate is a requirement for the education of " Know How to Learn ". Rumination is an important embodiment of the Constructivism Theory in teaching activities . It not only optimizes students mathematically-thinking quality but also is an effective way for them to improve their cognition .

培养学生的反思能力是"学会学习"教育的需要，反思是建构学说在教学实践中的主要体现，反思有利于优化学生的数学思维品质，反思是提高学生元认知能力的有效途径。

The ellipse curre equation of circular image is derived based on the theory of spatial analytic geometry and rotation matrix s representation with unit quaternion then a mathematical model of the distortion error is established which relates the distortion error to the foca length of the used CCD camera,the radius as well as the position and the attitude of the inspected circle directly.

研究三维视觉检测中圆的中心经针孔摄像机成像后存在畸变误差的问题，首先基于空间解析几何理论和旋转矩阵的四元数表示法推导出像平面上投影椭圆的参数方程；然后根据参数方程建立圆中心成像畸变误差的数学模型；最后对影响畸变误差的主要因素进行分析。

The aim of this work is to consider some general regularities observed in the interferent effects occurring in two-component systems composed of an analyte and one interferent, and to describe these effects by a general equation.

本文旨在研究包括待测元素和干扰元素的两元体系中干扰效应的一些规律，筛选出表达其相互关系的数学模型。

Based on this assumption the author derives the mathematical model of which intercepting pitch-down target attacking our ship and friend ship, using this model,quickly and correctly computes the target curved motion parameters, pitch-down linearmotion parameters and projectile firing data.

在这个假设的基础上，推导出拦截俯冲目标攻击我舰和友舰的数学模型。较准确的快速计算出目标曲线运动参数。俯冲直线运动参数和弹丸发射诸元。

This paper gives ballistic equation for the suspended projectile under nonstandard conditions, gives parameter correction method for nonstandard trajectory, weather and terrain, establishes a math model for simple and quick solution of firing data, and the paper conducts simulated computation.

给出了悬浮弹非标准条件下的弹道方程组，以及弹道条件、气象条件、地形条件非标准时的有关参数的修正计算方法，建立了一种简单快速求取射击诸元的数学模型并进行了模拟计算。

Boundary element method for pressure calculation of arbitrary shape and mixed boundary reservoir

以任意形状二维均质油藏的定解问题为基本的数学模型，推导了实空间和拉氏空间中的边界元数值计算方法。

After the data collection finished, it send to the PC through RS232 serial port. It gets the relatively high acceleration of the equipment, basing on the quaternion equation of the mathematics platform, and through the calculation of the angle changing and the acceleration sensor send-out.

采集工作完成后通过单片机串口发送至PC机，在基于四元数方程的数学平台中，通过对角度变化及加速度传感器输出量的换算，求得装置相对大地的加速度。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。