应用数学

Inspired by actual events, NUMB3RS depicts how the confluence of police work and mathematics provides unexpected revelations and answers to the most perplexing criminal questions.

NUMB3RS将会通过真实的事例，反映数学理论是如何被应用到警方的调查之中，从而破解一件件匪夷所思的罪案。

ABSTRACT Motived by the status of theoretical studies and the requirements of engineering applications in the fuzzy control system, the characters of fuzzy logic systems are analyzed, the mathematic model of a class of fuzzy logic system is built, especially the ways how to use the model to identify the nonlinear dynamic system and design the adaptive control system are researched deeply in this paper.

本论文根据模糊控制理论研究的发展现状、存在的主要问题以及工程实际应用的基本要求，分析了模糊逻辑系统的特性，建立起一类模糊逻辑系统的数学模型，并对其用于非线性动态系统辨识与自适应控制系统设计方法等方面进行了深入的研究，为解决某些传统方法难以解决的工程实际问题提供了新的思路。

The aptitude and career interest were considered as the two dimension of the entrance guide system, and was proof-tested by the structural equation model, which results supported this two-dimension hypothesis. Accordingly, there were two parts in the guide system. One part was about the aptitude test, consisted of seven subtests: verbal reasoning, spatial imagining, mathematic reasoning, computer capacity, abstract reasoning, physical knowledge, and sentence recomposing. The other part was about the career interest test, including eight aspects: career longing, curriculum desire, entertainment after school, activity preference, job preference, work environment preference, self-estimate of one\'s abilities, and discuss future with someone else. After three times modification and testing, the psychometric indices of the guide system were become well and stable. Furthermore, the guide system was primarily launched into applying, with four typical case studies, the practicability and serviceability of the guide system was showed swiftly.The entrance guide system for junior high school students that was developed in this research was one-upping in the entrance guide field in China.

第二阶段是初中生升学指导系统的研制阶段，以能力倾向与生涯兴趣这二元因素作为初中生升学指导系统的基本架构，经验证性因素分析表明该二元架构是合理并可接受的；其中能力倾向部分共包含语言推理、空间想象、数学推理、电脑能力、抽象推理、物理知识、语句重组等七个分测验，生涯兴趣部分则包含生涯梦想、课程兴趣、课余爱好、活动偏好、工作内容喜好、工作场所喜好、能力自评、与他人讨论未来等八个方面；通过三次修改与测试，结果显示所研制的初中生升学指导系统有着良好的测量学指标；此外，通过对初中生升学指导系统的初步应用研究，并结合典型个案的深入剖析，进一步表明所研制的初中生升学指导系统具有实用性、操作性强的特点，所得结果也可靠可信。

What the National Standards seem to have done is to overreact to the curriculum of the past --- which undoubtedly is guilty of being too formal and too rigid, and of overemphasizing computations at the expense of logical reasoning --- by going to the other extreme of overemphasizing the application-to-everyday-life aspect of school mathematics.

国家标准所做的似乎是去反对过去的课程……毫无疑问，过去的这个课程太形式化、太死板，过分强调计算并以牺牲逻辑推理为代价……过分强调学校数学在实际生活中的应用将走向另一个极端。

The complexity of the EMMS model formulation and computation precludes its use in practice.

EMMS模型复杂的数学表达式和求解方法限制了它的应用。

Firstly this paper explores the main systerm modeling methods in hydraulic grab;then we focus the analysis on the kinematics and bear of the back shovel dig device, the request of the gig ability, the task efficiency , the endure intension; after that we creat a rational maths model and write a program to ananlysis the data acquired; finally, this paper gets the optimize parameter and scheme, and protracts the grab envelope chart.

论文首先对液压挖掘机主要系统建模方式进行探索，然后重点对反铲挖掘装置运动学及受力进行分析，分析反铲挖掘装置的挖掘能力要求、作业性能要求、作业效率要求、受力状态要求，进行运动学和动力学分析，创建合理的数学模型(设计变量、目标函数的确定)，利用合适的优化方法编写计算机程序，调试通过程序应用，最后对优化结果进行分析整理。

The numeric theoretic model of the equal rupture length when holding-plate is rupturing is simple and practical, and it is proved with application.

在理论上推导出了托板失稳时的等效垮距计算的数学模型，该模型简单、实用，并应用实例对其进行了验证。

The process of industrial production is sometimes nonlinear anduncertain and is difficult to establish accurate mathematic module, sousing routine PID controller is hard to achieve perfect controlling effect.

工业生产过程往往具有非线性、不确定性，难以建立精确的数学模型，应用常规的PID控制器难以达到理想的控制效果。

Temperature, doping and electric field dependent parameters including energy band, impurity and carrier distribution, mobility and PN junction, etc are established The models which is demanded in unification and accordance in accurance, simulation speed, effective range and application efficiency are also obtained 3、Some unique or key low temperature physic effects, such as carrier freeze-out or trapping effect, mobility enhancement effect, steepened subthreshold effect, small dimension effect and heavy injection effect, as well as their influence to the device cryogenic performance are discussed and analyzed Based on the completely understanding of the physic nature and characteristics in low temperatures operation, the technique methods to overcome or to utilize the effects are also presented 4、By systematic analysis of carrier transportation, the device physic analytical model for advanced polysilicon emitter transistor with better cryogenic performance that can be used to simulate the quantity relations between device terminal characteristics and internal structure, doping distribution as well as operation conditions is presented.

建立了依赖于温度、掺杂和电场因子，并且包括材料和结构的各参量数学物理模型，主要包括能带、掺杂及载流子分布、迁移率和PN结等模型，在计算精度、速度、应用范围和使用效率等方面达到和谐统一。 3、深入研究了低温条件下一些特有的或起关键作用的低温物理效应，主要包括载流子冻析或陷阱效应、迁移率增强效应、亚阈性能改善效应、小尺寸效应和大注入效应等，并分析其对器件低温性能的影响，在对低温器件工作的物理本质和特点有深入认识和了解的基础上，找出利用或克服低温物理效应的技术措施。

Mathematical model of nonlinear vortex-induced vibration was presented for predicting the nonlinear dynamic responses of submerged floating tunnel tethers which were subjected to wave, current and oscillatory displacements at their upper end in horizontal and vertical directions.

建立了水中悬浮隧道锚索在波流场中涡激振动的非线性数学模型，考虑了锚索的几何非线性对其涡激振动的影响，并应用有限差分法求解了锚索的运动控制方程。

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。