数学分析

Then, we formulated the simultaneous differential equations and the car following theory which explain the urbanization motion track and these two kinds of process. The case study using the regression analysis to construct and verify the modal analyzes the regular pattern of urbanization and differences of development among twelve urban land readjustment areas in Tainan.

其次，提出具有数学意义的建地化、市街化基本原理，据此建立联立微分方程式，并且使用「跟车理论」的物理决定论类推说明市街化曲线模型，以把握市街化运动的具体法则；并以台南市12个重划区为实证地区，利用回归分析方法来进行模式校估及检定，俾利於分析市街化之规律性及各地区之发展差异。

Chapter six, in consideration that the worm tongue structure is a key factor affecting noise generation, the mathematical model of centrifugal fan noise increment that is produced by worm tongue structure is established by using of the D—optimizng technology and dimension analysis method, and the spectral property of fan noise produced by worm tongue structure is analysed.

第六章，针对离心风机蜗舌是影响离心风机噪声的关键因素的特点，采用D—最优化技术并结合量纲分析法，建立了离心风机蜗舌引起的噪声增量与蜗舌结构参数的数学模型，并分析了蜗舌结构参数及其对叶轮声辐射频谱特性的影响。

The mathematical models of the dynamic target and the tested apparatus are constructed with spherical trigonometry spherics. The general structure of the dynamic target is introduced. The performance, the detail of structure and selection of material of its main components are studied. The mass center and dynamic precision of the dynamic target, the static deformation of rotation arm are calculated and analyzed.

本文主要介绍了新型动态靶标研制的必要性、动态靶标检测的原理；运用球面三角学，建立了动态靶标与被测仪器间的数学模型；介绍动态靶标的总体结构设计，对各重要组成部分的功能、结构及原材料的选择等进行了详细的分析；对动态靶标的重心、旋转臂的静态变形及整机的动态精度进行了分析和计算；最后介绍了动态靶标的标定方法。

MATLAB language is used to develop the computer simulation program by means of the dynamic mathematical model of three - phase induction motors in phase quantities, The program is applied to series asymmetrical resistance starting operation process of three - phase cage - type induction motors in one phases or two phases of the stator circuit.

为了得到起动特性，根据三相异步电动机在相坐标系下的瞬态数学模型，编写计算机仿真程序，通过实例对三相笼型异步电动机的定子电路一相串联电阻以及两相串联电阻时的起动过程进行仿真计算，对仿真结果进行比较分析；用对称分量法分析定子电路一相串联电阻以及两相串联电阻时的不对称系统，初步计算起动电阻的数值，然后通过计算机仿真的调整来较准确地加以确定。

The PID parameter tuning of non-linear control system is set as the engineering background. The aim is the optimal design of PID parameter. On the basis of the design and research of the advanced PID parameter tuning, the mathematical model-transfer functionis developed through correlation analysis on statistical method.And with the optimization algorithm under constraint condition, the non-linear, Isqnonlin is set as object function. Then with connection of the non-linear constrain optimization algorithm and simulink technique, a set of adjust parameters which fit the performance index of the control system are found. And optimization design process and steps are provided.

本文以非线性控制系统PID参数整定为工程背景，以PID参数的优化设计为目标，在分析和研究国内外PID参数先进整定方法的基础上，运用相关分析实验统计方法建立对象的数学模型——传递函数，把PID参数设计问题转化为一种非线性优化设计问题，借助于约束条件下的优化算法，以非线性最小平方指标为目标函数，将非线性约束优化算法同Simulink仿真技术相结合，找出符合控制系统品质指标的一组调节参数。

Besides using maturer formulas,new formula that is used to calculate pump intake pressures for ELPO is presented through the loads of point of support and Goodman stress diagram.

本文在总结国内外现有节点分析技术的基础上，建立了特低渗油田抽油井节点分析的数学模型，除应用比较成熟的计算公式外，还通过悬点负荷及古德曼应力图提出了适合特低渗油田抽油井泵口压力计算的新公式。

The characteristics of postures, crown form, branch appearance and the leaf shape of Syringa oblata were analyzed by practical measurement of individual plant Mathematic method and model were adopted to analyze the sample data and deeply explore the vegetation quantity of Syringa oblata in Harbin. A quantitative method was put forward for vegetation quantity of Syringa oblata distributed in Harbin and the information management system of vegetation quantity of Syringa oblata for Harbin has been established.

本项研究选取了哈尔滨市园林绿化上数量最多、应用最广的木犀科丁香属植物中的紫丁香为研究对象，立足于哈尔滨市的环境特点，采用逐株实测的方法，具体分析紫丁香姿态、冠形、枝形、叶形的特点，采用数学方法和模型研究对紫丁香样本数据进行分析，并深入研究紫丁香"绿量"的内涵，探索出了哈尔滨市紫丁香"绿量"的量化方法，建立了哈尔滨市紫丁香绿量信息管理系统。

At the beginning the controllable techniques of the converter in the world are reviewed. Its operational principle and internal parameter relation are analyzed. The model of system in different coordinates is presented.

论文中首先回顾了三相变流器控制方式的发展及变化趋势，针对本文的研究对象分析了其工作原理和内部参数间的关系，给出了系统在不同坐标系下的数学模型，为系统的理论分析和实验奠定了基础。

The mathematical expressions of stiffness and bearing capacity were deduced,and the method of determining air spring parameters was put forward by analyzing the geometrical transmogrification and the stress of theca.

导出计算垂向承载力和刚度的数学表达式，提出通过囊壁应力分析和几何变形分析确定空气弹簧参数的方法，通过与试验结果的对比，验证了此方法的可行性。

A method of multi-level fuzzy synthetical evaluation of effects of human errors on inspection quality is presented and the corresponding theoretical model of inspection quality and probability of detection are set up by using fuzzy set theory. The problem of human errors effect on inspection quality is solved successfully.

由于在实际的检测中，人对检测质量的影响包含了许多模糊不确定的因素，因此，在这部分分析中，运用模糊数学的基本理论，对平台结构检测中人的各种因素对检测质量的影响，进行了多级模糊综合评估，对不同等级的检测人员分别建立了相应的检测质量及探测概率分析的理论模型，较为成功地解决了人的失误对检测影响的问题。

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。