几何基础

Based on the finite element method, a new algorithm for evaluating the sensitivity of electric field intensity to geometric parameters of the electrode system is presented in this dissertation.

本文在电场计算的有限元方法基础上，提出了目标函数对几何参数灵敏度计算的一种新方法，并推导了有关的公式。

Based on the finite element method, a new algorithm for evaluatingthe sensitivity of electric field intensity to geometric parameters of theelectrode system is presented in this dissertation.

本文在电场计算的有限元方法基础上，提出了目标函数对几何参数灵敏度计算的一种新方法，并推导了有关的公式。

What I want to do is making it used in the elementary geometry, to prove the point of intersection in the same line and lines intersect at the same point .

由于Desargues定理及对偶定理是建立在仿射平面上的，而本文要讨论的是如何将其运用到以欧氏平面为基础的初等几何中，证明点共线和线共点的问题。

Should be combined into one course, and teaching purpose was changed into development of teaching quality from research on elementary geometry.

与此同时，编写中的教材《初等几何教学基础》也必须突出与数学教育改革思路相适应的特色。

The basic principle is based on spherical astronomy and elementary geometry of the trajectory mapping method based on the observation of a celestial body zenith distance, then the ship is located in order to sing the next point as the center of this satellite zenith distance of the ship's position as the radius of the circle, observing the same two objects, or objects at different times of the two observations, we can get two ship's position round, then the ship must have been a point of intersection of two ship's position on the circle.

其基本原理是建立在球面天文学和初等几何中的轨迹作图法基础上的，观测一个天体的天顶距，则航船就位于以星下点为圆心，此星天顶距为半径的船位圆上，观测两个天体或者不同时间同一天体的两个观测值，就可以得到两个船位圆，则航船一定在两个船位圆的一个交点上。

In this part, the distribution of stable states of a system is worked out under the condition of unbalanced attention parameters on basis of analyzing elementary dynamic equation and synergetic potential function, which improved the discussion of relevant properties of basic synergetic equations. Then, with the analysis of effects of attention parameters in synergetic dynamics, a set of elementary properties are presented to give light how the attention parameters work on pattern recognition process. In the end, in view of geometric sense in synergetic order parameters, some elementary properties are studied, by which a new construction method of order parameters is established so as to provide a general way to constitute new relations of prototype patterns according to practical requirements.

首先在分析了协同模式识别的基本动力学方程及协同势函数的基础上给出了注意参数不平衡情形下系统稳定状态的分布，完善了对协同模式识别基本方程相关性质的讨论；其次，分析了注意参数在协同动力学过程的作用，并给出了注意参数的一些基本性质，指出了注意参数对模式识别过程产生的影响；然后，从协同序参量的几何意义出发，研究了协同序参量的基本性质，并在指出其局限性的同时建立了新序参量的构造方法，从而能够更一般地根据要求建立模式间的新关系，促进识别过程的进行。

The main research work of this paper are focused on following areas:(1) Based on review of the theory and methods on measurements of particle fields, a new idea for obtaining particle size and velocity distribution within a spray through imaging the particle field with a laser light sheet was put forward;(2) A DPIV (Digital Particle Image Velocimetry) system, is fit for velocity measurements of low speed flows, was developed and expended to particle size distribution measurement;(3) An arithmetic for particle velocity field reconstruction was developed, and the velocity distribution of water mist was also obtained;(4) A software system for particle analysis, which based on image geometry emend, de-noise and image partition was developed, the parameters such as particle size distribution, mean diameter, number of particles, minimum and maximum diameter can be got with this system;(5) A water mist system was developed and its characteristics, such as droplet velocity, size distribution, number of droplets and spray cone angle under different conditions were obtained from experiments with PIVS;(6) The measurement results of water mist characteristics with PIVS were compared and analyzed with the simply simulated results, and in addition, in order to verify the accuracy of PIVS, some experiments were conducted with the standard particles, such as glass-ball with known mean diameter of 50μm and 115μm, metallic coated tracing particle with mean diameter of 12μm;(7) Some experimental studies on interaction of water mist with liquid pool fires were conducted.

本论文的主要工作包括以下几个方面：（1）在对粒子场测量的相关理论和具体方法进行综述分析的基础上，提出了通过采用激光片光对粒子场进行成像以获取其粒径和速度等参数分布的新思路；（2）研制了适宜于低速流动速度场测量的DPIV(Digital Particle Image Velocimetry)系统，并使其实现了对粒子场粒径分布的测量功能；（3）研制了基于粒子运动轨迹的速度场重建算法，获取了细水雾雾场的速度分布；（4）研制了基于几何校正、去噪、图象分割等图象处理方法的"粒度分析软件系统"，该系统既可分析给出粒子场的粒径分布直方图和平均粒径，还可给出粒子的数目以及最大、最小粒径等信息；（5）建立了一细水雾发生系统，并应用上述方法对不同压力条件下细水雾系统的雾场特性（如速度分布、雾滴粒径分布、雾滴的数目、喷雾张角以及雾化长度等）进行了实验测量研究；（6）对细水雾特性参数的PIVS测量结果与计算机简单模拟计算结果进行了定性比较分析，并利用平均粒径为50μm和115μm的玻璃球以及12μm的标准示踪粒子对PIVS系统的粒径和速度测量结果进行了实验验证，同时对其局限性进行了分析讨论；（7）对不同工况条件下细水雾与油池火相互作用的过程进行了模拟实验研究。

For example, the Maximum Membership Function Principle is proposed in Chapter 2 on which the presently"scattered" ones among fuzzy mathematical operations for fuzzy control methods such as the acquisition of fuzzy relation, the composition of fuzzy relations and the fuzzy set projection algorithms can be unified to within a common theoretic frame; the geometric criterion for the redundant design parameters is developed for a class of fuzzy supervisory control algorithm in Chapter 4; such concepts as the metric equivalent distance between fuzzy rules are defined to realize the highly efficient reasoning process; consequently the strategy and algorithm for a dynamically commissioned fuzzy controller is given.

如在第二章中，提出了最大隶属度原则，从而将现有模糊控制方法中诸如模糊关系的获得、模糊关系的合成、模糊集的投影等"零碎"模糊数学运算统一到一个共同的理论框架之中；在第四章中，还针对一类模糊监督控制算法推导了其冗余设计参数的几何选取准则；为实现高效推理过程而定义了模糊规则间的距离当量等概念，在此基础上，提出了动态构造模糊控制器的策略和算法。

Traditional art pattern design is based on Euclidean geometry, using aesthetics methods and form principles, disposing modeling element.

传统的艺术图案设计是以欧氏几何为造型基础，通过运用美学原理和构图规则，对造型元素进行处理所产生的图案。

This appendix proved to be one of the foundations of non － Euclidean geometry ; it was a mathematical landmark worth farmore than anything else in the book .

结果这一附录被证明为非欧几何的基础之一，它是数学上的一个里程碑，远比那本书中其他任何内容都重要得多。

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。