数学分析

Chapter 4, lists the teaching cases in teacher's teaching, combined the cases dissecting the teaching methods of mathematics and mathematical cerebration and methods in the point of view of psychology, then infers that to proceed the teaching of mathematical cerebration and methods is necessary. In the other hand, I compared and studied the association between the basic mathematical cerebration and methods and other mathematical knowledge, answer the questions that which mathematical cerebration and methods are more worthy to jut out. At last, infers a mode of the teaching in mathematical cerebration and methods.

第四章列举了教师在授课中的教学案例，结合案例从心理学角度对中学数学教学与数学思想方法教学进行剖析，得出进行数学思想方法教学是十分必要的；同时对中学数学教学中的数学基本思想方法与其它数学知识的关系进行了对比分析，对在中学数学教学中突出哪些数学基本思想方法为好做了解答；最后给出了数学思想方法教学的一个教学模式。

This thesis is based on understanding and analysis of educational theory of Freudenthal's thought of mathematics education. It does analytical and Practical research on mathematics teaching in kindergarten in an effort to provide the thought and approach for reference. The intention is to Promote the kids to study mathematics efficiently,to master it comprehensively and to use it properly. At the same time,it also offers some constructive suggestions to the present mathematics teaching reformation.

本文基于对弗赖登塔尔数学教育思想的认识和分析，对幼儿园数学教学开展分析和操作性研究，旨在为促进幼儿有效地学习数学、理解地掌握数学、恰当地运用数学的数学教学提供一个可借鉴的思路和途径，为当前数学教育改革提供一些建议性对策。

Based on contraction mapping theorem of analysis mathematics, the non-steady flow mathematical model of mine ventilation network was analyzed.

利用分析数学的压缩映射原理，对矿井通风网络非稳定流动数学模型进行了分析，得出了数学模型数值解收敛的条件，确定了以惯性系数排序选择最小生成树的回路选择方案，为矿井通风网络非稳定流动数学模型数值解的收敛性提供了理论依据。

The paper analyses material transportation problem and give the solvable methods; analyses delivery vehicle route problem, and then construct its corresponding mathematical model and present a heuristic algorithm based on C—W algorithm; analyses the optimum scheduling problem of trucks, and then construct its corresponding mathematical model and put forward a new algorithm; analyses the Postal Transportation Problem which will perhaps be used in supply chain of manufacturing system, and then construct its corresponding mathematical model and present an approximation algorithm.

分析了制造系统供应链中供需平衡、供需不平衡、有转运等各种情况下的物资调运问题，给出了求解方法；分析了制造系统供应链配送作业中的配送车辆路线问题，建立了相应的数学模型，提出了一种基于C-W算法的启发式算法，该算法较好地解决了有时间约束的配送问题；分析了制造系统供应链中的货运卡车优化调度问题，建立了相应的数学模型，提出了一种基于表上作业法的求解算法；分析了制造系统供应链中有潜在利用价值的邮政运输方式问题，在详细描述了该问题的基础上，建立了相应的数学模型，提出了一种近似求解算法，该算法较好地解决了邮政运输方式这样的多种物流、多种运输方式，有严格时限和众多外部约束的特大型、复杂、并行的交连系统的计划调度问题。

Then, it studies the supply chain management system as a complex system to confirm the state existing during operating of the system. After that, it conducts a probability analysis on the state which the system located by applying supplement variable method, and establishes the model of distributed parameter system in a form of partial differential equations. Combining C0 ? semigroup theory in the functional analysis, it conducts a dynamic analysis on the established mathematical model. Using this method, it obtains the mathematical expression of the dynamic solution and the steady state solution, and proves the uniqueness, non-negativity and the asymptotic stability of the system solution. This dissertation applies the Matlab tool and uses two-step, three-step Simpson integral equation to imitate the condition of system solution. Then, it adds possible mode of failure and the optimization adjustment state to the system, based on which it has established the distributed parameter system model which is described by partial differential system of equations. Combining the functional analysis C0 ? semigroup theory, it studies the established mathematical model, and obtains the mathematical expression of the dynamic solution system and the steady state solution. It has proven the existing of uniqueness of the system solution, the asymptotic stability of system solution and the system solution. In addition, it has lying the theory rationale for further analysis and the research on the optimization of system.

本文首先简要综述了供应链理论、可靠性研究、鲁棒性研究以及供应链鲁棒性研究的现状；然后，将供应链系统作为一个复杂系统来分析，确定了系统运行过程中所经历的状态，通过引入补充变量的方法，建立了用偏微分方程组描述的分布参数系统模型，用泛函分析中的C_0 -半群理论得到了系统动态解和稳态解的数学表达式，证明了系统解存在的唯一性、非负性和指数阶渐近稳定性；并借助Matlab工具，利用二阶、三阶辛普森积分方程模拟系统解的性态，并给出系统动态解的仿真图；本文又对上述系统增加了系统可能失效状态和优化调整状态，并在此基础上建立了用偏微分方程组描述的分布参数系统模型，同样用泛函分析中的C_0 -半群理论对所建立的数学模型进行了研究，得到系统动态解和稳态解的数学表达式，证明了系统动态解存在的唯一性、非负性及渐近稳定性，为进一步分析和研究供应链优化奠定了理论基础。

What's more, it also defines and analysizes how unintellectual factors affect maths teaching in middle school, for instance, the students ' studying initiation , emotion , willingness and attitude to maths to maths learning , and so on.

在分析学生对中学数学课堂教学的影响因素时，借鉴了加德纳的多元智能理论，强调在中学数学课堂中调动学生的多种智能来学习数学，并对学生非智力因素对中学数学课堂教学的影响做出与分析，如学生的学习动机、数学学习情感、意志、学习态度等。

Through analysis of the basic diathetic requirements that the reformation of maths education in high school in the twentyfirst century has set for teachers of maths of high school, authors of the thesis have outlined the goals of maths education in teachers′universities for the maths education major students.

本文从分析二十一世纪中学数学教育改革对数学教师的基本素质要求出发，提出师范院校数学教育专业的培养目标，并以此为基础，分析了现行数学教育专业课程体系的现状，找出课程体系改革中应处理好的几个问题，提出了以模块为基础的数学教育专业课程体系改革的初步设想。

Moreover the thesis analyse specificness of the new system in details:The process of Mathematics learning strategies.The colony of Mathematics learning strategies.The activities of Mathematics learning strategies.The individuality of Mathematics learning strategies.The modernnization of Mathematics learning strategies.The new system of mathematics learning cant apart from the firm theory foundation.

本文在对《标准》的总体目标及学习目标进行分析的基础上，构建了《标准》指导下的新的数学学习策略的体系，并分析了新的数学学习策略所呈现出的新的特点：——数学学习策略的过程性；——数学学习策略的群体性；——数学学习策略的活动性；——数学学习策略的个体性；——数学学习策略的现代化；构建新的数学学习策略体系离不开坚实的理论基础。

The mian works are as follows:(1)By coprecipitation technique and coprecipitation- gel technique the nano zirconia powder was produced, factors affecting the properties of nano zirconia powder such as pH and the content of stabilizator are analyzed;(2)By the new pressless sintering process, the nano zirconia ceramic was produced, factors which can affecting the properties of nano zirconia sinter body such as moulding press and the sinter temperature are analyzed;(3)By the microtherm pressless sintering process, the nano copper added functional zirconia ceramic composite was produced, microscopic dimensionality and electric properties of such sinter body and the factors affecting such sinter body are analyzed;(4)By the self-invented "external albumen coating" technique the zirconia powder was successfully coated by carbon in the corresponding sinter body, which can help solve the traditional aggregation problem to some degree;(5)Based on analyze the characteristics in the nano powder sinter process, the "three-ball sinter model" was proposed, for the relationship between the relative density and porosity of sinter body, by mathematical fitting, such model was successfully verified.

本研究比较系统地研究了纳米氧化锆陶瓷的合成与成型机理，特别是讨论了纳米氧化锆陶瓷的稳定性，为防止纳米颗粒在外场作用下的团聚和长大提供了理论基础和实验数据，具体工作有以下几方面：(1)采用共沉淀法和共沉淀-凝胶法制备了纳米氧化锆粉体，并分析了pH值和稳定剂含量对粉体性能的影响；(2)采用新型无压烧结工艺制备了纳米氧化锆陶瓷，并分析了成型压力和烧结温度对烧结体性能的影响；(3)采用低温无压烧结工艺制备出添加纳米铜的功能性纳米氧化锆复合陶瓷，并分析了烧结体的微观尺度和电学性能的变化以及影响因素；(4)通过自创的&鸡蛋清外敷法&在真空镀膜台上对纳米氧化锆粉体进行包敷碳颗粒的表面处理，并采用真空烧结工艺制得相应烧结体，初步开始解决陶瓷烧结过程中团聚长大这一传统难题；(5)通过分析纳米颗粒在制备烧结体过程中的实际特点，提出了&三球烧结数学模型&，通过引入坯体相对密度和孔隙率的相对关系分析并通过自行编写的数学拟合软件，验证了这一数学模型。

The new mathematics curriculum yells mathematics teachers change traditional teachers" roles to nowadays teachers" roles. By analyzing the abuse of the traditional teachers roles and the requests about mathematics teachers which the new mathematics curriculum puts forward, we discover that from the lay of curriculum , mathematics teachers should actualize three facets changes as follows:from the single initiators of mathematics knowledge to the promoters of mathematics diathesis;(2)from the loyal executors of mathematics textbook to the devisers of mathematics instruction;(3)from the indoctrinators of mathematics knowledge to the organizers, guiders and participators of mathematics activity .

数学新课程呼唤数学教师由传统的教师角色向现代教师角色转变，通过分析传统数学教师角色的弊端及新课程对数学教师提出的要求，发现从课堂层面讲，数学教师角色主要要实现以下3方面的转变：(1)由单一的数学知识传授者向数学素质的促进者转变；(2)由教科书的忠实执行者向数学教学的设计者转变；(3)由数学知识的灌输者向数学活动的组织者、引导者和合作者转变。

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。