数学

This course mainly contents real number muster and function, limit of number sequence, limit of function, continuity, derived number and differential, differential mean value theorem and its application, completeness of real number, integral, series(including positive series and Fourier series), multiple- differential, double integral, integral with parameter, curve integral, camber integral and so on.

理解和掌握《数学分析》的概念、理论和方法，对于学生加深理解数学的基本思想和方法，培养抽象思维能力和逻辑思维能力，提高数学素养具有重要的意义。主要内容包括：实数集和函数，数列极限，函数极限，连续性，导数和微分，微分中值定理及其应用，实数完备性，积分、级数(包括幂级数、Fourier级数)、多元微分学、重积分、含参变量积分、曲线积分、曲面积分等。

The in paper discnssed to mathematical model of quality control for TMP pulp,establishing an set mathematical model for consistency control and interstice control of disc refiner.

通过TMP盘磨机磨浆的大量试验数据，提出并建立了控制磨浆质量的数学模型，即控制磨浆浓度的数学模型和控制盘磨间隙的数学模

Mathematics source in intuitionist and the practice.

数学源于直观和实践，数学无论怎样地形式化，实验都是重要的数学方法。

Presently, colleges and universities that teacher's education engaged in have widespread questions: lack conscious understanding to math teacher education specialization, lack adequate understanding to the variation of math curriculum context in the basic education reform, vie with the curriculum setting of comprehensive university blindly, the influence that inveteracy of traditional math curriculum setting, and so on.

当前从事教师教育的高校普遍存在着：对数学教师教育专业化缺乏清醒地认识；对基础教育改革中数学课程内容变化缺乏足够的认识；盲目攀比综合性大学的课程设置；传统数学课程设置根深蒂固的影响等问题。

Kline thinks that every mathematics teacher in middle school and college should know the history of mathematics. There are many reasons. Perhaps the most important one is that it is the guide of mathematical teaching.

克莱因认为："每一位中学和大学数学教师都应该知道数学史，有很多理由，但最重要的一条理由或许是，数学史是教学的指南。"

Intuitionism clashed with classical mathematics in so far as Brouwer held that there are no truths beyond experience and hence that the law of the excluded middle could not be applied to all mathematical statements (in particular infinitary parts of mathematics are indeterminate with respect to some properties).

直觉发生冲突，只要布劳威尔认为，有经验之外没有真理，因此，该排中律不能适用于所有（在数学部分，特别是infinitary数学命题是对一些性质不确定的古典数学）。

This paper extracted and analysed 11Math-Mophological Features such as Area, Perimeter, X-Length, Y-Length, Shape-Parameter, Lobation, Sphericity, Circularity, Roundness, Eccentricity and HoleNumber. Based on 40 species of insects which belonging to 8 Orders, 25 Families. And then ranks the accountability of 11 features each in insect identification while assessing their implication to insect taxonomy on levels of Order, Superfamily, Family and Species. More than those, also describes the kinship among the insects of various categories within the same level from the perspective of mathematical morphology through cluster analyses.

论文对隶属于8个目25科的40种昆虫利用计算机视觉技术进行了自动鉴别研究，从昆虫图像中提取和分析了这些昆虫的面积、周长、横轴长、纵轴长、形状参数、叶状性、球状性、圆形性、似圆度、偏心率、亮斑数等11项数学形态特征，并分别探讨了在目、总科、科及种分类阶元上这些数学特征在昆虫分类中的应用可能性和可靠性，利用聚类分析从数学形态学角度对所涉及到的同阶元昆虫类群的亲缘关系做了描述。

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。

The globalization of economic development, the rapid development of computer, and the constant expansion of mathematical theory and methods make mathematics be an important part and the thinking source of the contemporary high-tech, and be a universal implementation technology.

经济发展的全球化、计算机的迅猛发展，数学理论与方法的不断扩充使得数学已经成为当代高科技的一个重要组成部分和思想库，数学已经成为一种能够普遍实施的技术。

The most simple mathematical induction is the most common is that n is all natural, an expression of the establishment.

中文摘要：数学归纳法是一种数学证明方法，是数学中关于自然数命题的主要证明方法，用于确定一个表达式在所有自然数范围内成立，或者用于确定一个表达式在一个无穷数列中成立。

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。