数学分析

Experiments of flow conductivity closure stress of typical propping agent are done, propping agent short-term flow conductivity alteration index is defined, by this, the relation between fissure short-term flow conductivity and closure stress, it is close to exponential relation. 4. Establishing the mathematical simulator of hydraulic fractured well's production in a steady state, finding the relation curve between dimensionless flow conductivity and fracture penetration coefficient by means of calculation and analyses, it is the basis of hydraulic fracture. 5. Expatiating the importance of optimized hydraulic fracturing design in reservoir engineering, advancing the optimizing design method, fracture dimension can be calculated easily when the physical parameters are known. 6. Production rate decline standard curve of vertical fractured wells is achieved by mathematical simulation, when the flow pressure is certain , by asymptotic analyze, this decline curve is close to exponential relation.

完成了国内外典型支撑剂的导流能力闭合应力影响实验，在数据分析中定义了支撑剂短期导流能力变异系数，并由此发现裂缝短期导流能力随闭合应力变化的近似符合指数关系式； 4 建立了一种水力压裂井稳态产能的数学模拟器，计算分析找到了最优无量纲导流能力与裂缝穿透比之间的新型关系曲线，它是水力压裂优化设计的基础； 5 阐述了水力压裂油藏工程优化设计的重要性，提出了优化设计方法，在已知支撑剂物性参数条件下可简洁计算最优裂缝尺寸； 6 数学模拟给出了垂直裂缝井产量递减标准曲线，在井底定压条件下通过渐近分析表明，该递减曲线满足指数关系式。

Studied present measuring methods" advantages and disadvantages, and presented the necessity and importance of researching propellant transient heat transfer.2.according to 130 and aeronautic 90 rocket projectiles" structure, analysed and acquired physical and mathematical models for propellant transient heat transfer, also designed propellant temperature field simulation units for test.3.acquired discrete transient heat balance equation and temperature calculation program, and gave contrasting curves between experimental temperature values and program calculating temperature values as well as maximum errors and average square root errors between them.4.by programs based on the first class boundary condition, worked out temperature distribution in propellant temperature field simulation units at different time, analysed temperature field distribution law and main elements affecting heat transfer, acquired propellant mass weighted average temperature and one at the half position of propellant maximum thickness as well as maximum errors and average square root errors between them.5.established transient heat transfer mathematical model and temperature calculation program for the third class boundary condition, drew contrasting curves between temperature experimental values and calculation values and gave maximum errors and average square root errors between them, got temperature distribution in the simulation unit at different time and main elements affecting heat conduction, figured out propellant mass weighted average temperature and one at the half position of propellant maximum thickness as well as maximum errors and average square root errors between them.

分析了现有测试方法的优缺点，提出了研究推进剂瞬态导热的必要性和重要性。 2。根据130和航90两种火箭弹的结构，分析得到了推进剂传热的物理模型和数学模型，设计了推进剂温度场模拟实验装置。 3。得到了离散形式的瞬态热平衡方程和温度场计算程序，给出了实验温度与程序计算温度值的对比曲线及其最大偏差与均方差。 4。利用程序求出了第一类边界条件下、不同时刻推进剂温度场模拟装置中的温度分布，分析了温度场的分布规律和影响传热的主要因素，求出了推进剂质量加权平均温度和最大肉厚1／2处的温度时间曲线并给出了两者之间的最大偏差与均方差。 5。建立了第三类边界条件下的瞬态导热数学模型和温度计算程序，求出了温度实测值与计算值的对比曲线并给出了两者之间的最大偏差与均方差，得到了不同时刻温度场模拟装置的温度分布与影响导热的主要因素，求出了推进剂质量加权平均温度和最大肉厚1／2处温度及两者之间的最大偏差与均方差，讨论并确定了能代表130和航90推进剂温度的特征点的位置。

In the layout analysis, we chose a bottom-up algorithm based on nearest neighbor connect-strength and line confidence to segment the image area, table area and text area; In the printed Chinese character recognition module, we calculate the degree of incorporative difference to match the character, also define a refusal class which could orientate the mathematical expression automatically; Put the expression into the formula processing module, then we chose the character segmentation method based on connectivity and the template match method to recognize the character in the mathematical expression and at last we used the structure analysis based on the character to transform the two dimension formula into one dimension Word EQ expression.

在版面分析中，采用基于最近邻连接强度和行列可信度的自底向上的版面分析算法，分割出图像区域、表格区域和文本区域；在汉字识别模块中，采用回溯切分方法切分出字符段，计算合并差异度与特征字典比较，通过引入汉字的拒识类，从而实现了公式的定位；将定位后的数学公式送入公式识别器，在公式识别器中采用基于连通域搜索的字符分割方法和模板匹配方法对字符识别，对于识别出的字符，再采用基于特征字符的结构分析方法，从而将二维的数学公式转化为一维的Word EO域语句。

In the process of calculation ,not only the decouplable feature of symmetrical elements in the coordinate system of symmetrical components is fully utilized,but also the symmetrical parts and unsymmetrical parts are treated as separate blocks, thus the efficiency of calculation is rasied moreover.

建立用于故障分析的网络的数学模型是计算机编程计算的基础。当前在电力网络中最常用的网络参数矩阵有节点参数矩阵和支路参数矩阵。在故障分析计算中一般采用网络节点参数矩阵作为电力网络的数学模型，又主要使用节点导纳矩阵作为分析的基础。

Main Curriculums: Higher Mathematics, Engineering Mathematics, College Physics, English, Descriptive Geometry and Building Cartography, Program Design and Arithmetic, Introduction to Java, Network Database, Numerical Analysis, Tensor Analysis, Specialty English, Document Retrieval and Utilization, Introduction to Mechanics, Theoretical Mechanics,Mechanics of Materials,Structural Mechanics,Computational Mechanics and Engineering Software, Theory of Plate and Shell, Theory of Elasticity, Composite Mechanics, Advanced Structural Mechanics,Plastic Mechanics of Structural Engineering, Fluid Mechanics, Experimental Mechanics, Vibration Theory, Soil Mechanics and Foundation, Steel Structures, Concrete Structures, Engineering Construction and Engineering Estimate, Engineering Signal Analysis and Processing, CAD of Structure, Design of Structural Optimization, Modern Testing Technologies.

专业课：高等数学、工程数学、普通物理、英语、政治、画法几何及建筑制图、程序设计与算法语言、Java基础、网络数据库、数值分析、张量分析、专业英语、科技文献检索、力学概论、理论力学、材料力学、结构力学、计算力学与工程软件、板壳理论、弹性力学、复合材料力学、高等结构力学、结构工程塑性力学、流体力学、实验力学、振动理论、土力学与地基基础、钢结构、混凝土结构、工程施工与概预算、工程信号分析与处理、结构CAD、结构优化设计、现代测试技术等。

The surveillant software of Epigynous PC is programmed by Visual C++ in Windows, and it has graphical interfaces to make man-machine conversation.

在系统数学模型分析过程中，通过对电机的数学模型分析，最后得出系统速度环和位置环的数学模型。

Based on the translation of Liber Abaci from English to Chinese, and studying the large number of material, this dissertation is mainly intended to comprehensively analyze the contents, explore the algorithm, summarize the methods and thinking of mathematics from Fibonacci.This paper is composed of eight chapters.

本论文在完成《计算之书》英译本(2002年出版)汉语翻译的基础上，通过对《计算之书》以及相关中外文献的研读，全面分析了《计算之书》中的数学内容，对言辞模糊、表达不明的算题、算法进行深入算理分析，就其中重要的数学方法进行了认真的梳理和概括，并对《计算之书》中的数学思想、算法源流进行了初步探讨。

Through studying the math model and "man- plane-environment" operation system model, we analysed the usage range and virtues and defects of transmitting function model of human, optimal con- trol model and fuzzy control model;After analysing "man-plane-environment" operation system, com- puter simulation, we put forward the man- plane -enviroment operation system computer simula- tion evaluation system to determine the best match between pilot and plane.

摘 要：通过对人-飞机-环境模拟仿真技术中人操作者的数学模型及&人-飞机-环境&操纵系统的数学模型的研究，具体分析了人的传递函数模型、最佳控制模型、模糊控制模型的适用范围及优缺点，并在对&人-飞机-环境&操纵系统的数学模型、性能指标进行分析后，提出了确定驾驶员和飞机之间最佳匹配的&人-飞机-环境&操纵系统计算机模拟综合评估系统，从而使人们一开始设计飞机时就考虑驾驶员作用，减少设计盲目性，缩短设计周期。

The paper, taking Pythagorean Theorem for example, analyzes the function, effect and the practice in the modern teaching.

分析了数学定理演变的原因及其对数学发展的作用，并以数学教材中典型的定理&勾股定理&为例，分析其在历史演化中的作用与影响，以及在现代中学里的教学。

The penman analyses the result of the investigation and considers that the factors which influence Mathematical Communication are the surroundings, the consciousness, the gift of mathematical tongues, and the mathematical thinking.

笔者对调查结果进行了分析，认为影响数学交流的因素主要有：数学交流的环境、数学交流的意识、数学语言能力和数学思维等方面。

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。