数学分析

First of all, the basis of the MRTD method is studied. In Chapter 2, waveletsanalysis and multiresolution analysis, the mathematical basis, are introduced, and thecharacteristics of the wavelets basis functions, including orthonormality, compactsupport, multiresolution and so on, are also introduced. The advantages of theapplications of these functions to the numerical electromagnetic calculations arediscussed. In Chapter 3, the algorithm basis of MRTD: the combination of the waveletsand the method of moments is studied. This Chapter shows that the MoM basedMRTD method is the combination of wavelets and MoM using Galerkin sampling.

文中首先讨论了 MRTD 的建立基础，其中第二章介绍了其数学基础－小波分析及多分辨分析，讨论了小波基函数的性质包括正交性、紧支撑性、多分辨性等及其应用于电磁场数值计算的优势；第三章讨论了其算法基础－小波与矩量法的结合，阐述了以矩量法作为算法基础，以 Galerkin 离散采样的方式与小波函数结合而产生了 MRTD。

The effect factors model of library knowledge transfer mainly adopts analytic hierarchy process, analyzes the interaction factor of the main factors that affect the library knowledge transfer, and constructs the paired comparison matrix. This kind of method availably avoids the intersect effect of vary level factors, and establishes the mathematical model of effect factors of library knowledge transfer.

图书馆知识转移的影响因素模型采用层次分析法，通过分析影响图书馆知识转移的主要因子之间的相互作用关系，构造成对比较矩阵，有效避免不同级别因素间的交叉影响，建立各个因素对图书馆知识转移影响的数学模型。

The 2D affine projection model is analyzed from geometrical relation of parallel projection, the conversion of projection, the foundation of strict mathematical model of 2D affine. The characteristics of 2D affine projection are illustrated by experiments.

从平行投影的几何关系分析、投影性质的转换、严格仿射变换数学模型的建立等方面，深入研究了基于仿射变换的传感器模型，给出了实验结果和分析结论。

In this paper, the stray light and ghost image caused by multi-reflection in high power infrared optical systems are analyzed and discussed, and the comprehensive method incorporating paraxial approximation and real ray trace is presented; the data structure of binary tree is used in the storage of interdata so that the storage problem of huge-size data is resolved.

本文主要研究了大功率红外光学系统中光学表面多重反射而形成的杂散光及其数学模型与计算方法，提出了将近轴近似法和有限光线追迹法相结合的综合分析方法；同时在数据存储方式上采用二叉树这种数据结构，巧妙地解决了鬼像分析中海量的中间数据存储的问题。

Based on the mechanics analysis of reheater desuperheating spray used in large scale power units and the partial differential theory and matrix analysis method,an analysis model for calculating the influence of reheater desuperheating spray on power plant s thermal economy has been established through rigorous mathematical derivation.

对大型机组的再热器减温喷水的机理进行分析，运用偏微分理论和矩阵分析方法，经过严密的数学推导，建立了再热器减温喷水对机组热经济性影响的计算模型。

Based on the mechanics analysis of reheat er desuperheating spray used in large scale power units and the partial differential theory and matrix analysis method,an analysis model for calculating the influence of reheat er desuperheating spray on power plant s thermal economy has been established through rigorous mathematical derivation.

对大型机组的再热器减温喷水的机理进行分析，运用偏微分理论和矩阵分析方法，经过严密的数学推导，建立了再热器减温喷水对机组热经济性影响的计算模型。

This paper takes the small fish of Carangiform as the mimetic object. Through the bionics study to the principle of Carangiform"s propulsion, the robofish"s main body mechanism that has two degrees of freedom tail fin and single degree of freedom pectoral fin has designed. At the same time, the parameterized mathematical model of double-hinged propulsion system has established. The kinematics analysis, dynamics analysis to the propulsion process and preliminary hydrodynamics analysis to the tail fin and the pectoral fin have been completed. The dynamic equations to the propulsion system have been established.

本文以鲹科模式鱼类为仿生对象，通过对鲹科模式鱼类游动机理的仿生学研究，设计了两自由度的尾鳍推进机构及单自由度的胸鳍机构的机器鱼机械本体结构，建立了参数化的两关节尾鳍推进模式的数学模型，并对推进过程进行了运动学、动力学分析，建立了推进系统动力学方程，对尾鳍和胸鳍推进的水动力进行了初步分析。

Distortion discipline of line heating for automatic processing is researchedThe main influence factors of shell plate forming by line heating are analyzed. Based on the analysis of measured data processed by the experiment machine of line heating, thickness of plate, length of heating line, processing speed and shrinkage are regarded as 4 dimensions, and the methods of vectors mapping, plane projection and conversion of coordinates are used to build mathematical models for local surface shrinkage of different thickness and processing parameters.

1研究了自动化加工水火弯板变形规律分析了水火弯板加工成型的主要影响参数，在对水火弯板实验机加工测量数据分析的基础上，以板厚、加热线长度、加工速度和收缩量作为4个维度，应用向量映射，平面投影、坐标转换方法建立了不同钢板厚度的局部表面收缩量和加工参数的数学模型。

The basic conceptions and primary characteristics are introduced in this paper. This paper discuss some primary factor when genetic algorithm applied on optimal design, for example the mathematical model the constrained problem、the initial population and the controls parameter of genetic algorithm .

在广泛阅读文献和调研的基础上，本文对遗传算法及其在结构优化设计应用中的相关内容进行了分析和综合，对结构优化设计的基本概念、主要特点进行了介绍，对遗传算法应用于结构优化设计时的数学建模、约束条件处理、初始种群的产生及其遗传算法控制参数的选择几个关键因素作了概要的分析与研究。

Based on a great many literature, this paper analyzes and summarizes the genetic algorithm for the design of structural optimization. The basic conceptions and primary characteristics are introduced in this paper. This paper discuss some primary factor when genetic algorithm applied on optimal design, for example the mathematical model、the constrained problem、the initial population and the controls parameter of genetic algorithm Aimed at the characteristic of structural optimization and finite-element analysis, this paper accomplishes the optimal program based on the simple genetic algorithm.

在广泛阅读文献和调研的基础上，本文对遗传算法及其在结构优化设计应用中的相关内容进行了分析和综合，对结构优化设计的基本概念、主要特点进行了介绍，对遗传算法应用于结构优化设计时的数学建模、约束条件处理、初始种群的产生及其遗传算法控制参数的选择几个关键因素作了概要的分析与研究。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。