应用数学

In the face of above cases, this paper attempts to break through the bottleneck of data security with another way. Through study of Error Correction Code and Finite Field theoretics, this paper tries to apply the Reed-Solomom arithmetic based on Finite Field Galois Field to Redundant Array of Independent Disk, and tries to realize a simple RAID6 level programme, thereby could offer an idea for securer storage device.

面对这样的现实情况，本文试图换个角度突破这个安全瓶颈，通过对纠错编码理论及有限域数学理论的一步步深入研究，尝试将基于有限域数学的Galois域Reed-Solomon算法应用到RAID(Redundant Array of Independent Disk 独立冗余磁盘阵列)磁盘阵列当中，并尝试实现小型的RAID6级别的实验程序，从而为实现更加安全的存储技术提供了思路。

In this study, a new classification method of tolerances according to semantics and mathematical representation of basic geometric elements based on DOF is given. The representation of tolerance semantics is systematically deduced based on its mathematical definition that can characterize the semantics exactly an...

给出了基于语义的几何公差分类方法及基于自由度变动的基本几何要素数学表示方法；基于公差的数学定义，系统地推导了各种类型公差的三维语义表示方法，准确完整地表示出了其语义；最后给出实例进行应用分析

Experimental study includes the law of flow field variation and variation of water surface in affected zone by the single groyne or twin-groyne. Mathematical modeling includes following the trail of water surface in 2-D and 3-D conditions, model developing, verifying and applying ofthe model as well.

实验研究包括单丁坝及双丁坝条件下丁坝影响区内流场及水面变化规律；数学模拟方面包括二维和三维自由水面追踪及流场数学模型开发、验证和应用。

The calcalus learns is a mathematic branch connected closely with scientific application.Infinitesimal is an important componant in the theoretical system and has an outstanding effect on the forming of the basis and conception of the theory. infinitesimal ; calculus ; the calculus learns ; differential calculus ; integral calculus

引 言微积分学是建立在实数、函数和极限理论基础上，研究函数微分、积分以及有关概念与应用的数学分支。17世纪精密科学的飞速发展，天文学、力学、光学、工业技术要求数学彻底革新，导致了无穷小概念的问世，促使费马增量理论开创微分学的先河，同时奠定了柯西的极限理论。

The integral calculus is the important content of mathematical analysis in the mathematics, in a very important position, in natural science and social science and technology is widely used in the future.

积分学是数学分析的重要内容，在整个数学领域居于极其重要的地位，在自然科学、社会科学和工程技术中具有广泛应用。

In feedforward control, the hysteresis nonlinearity of the piezoceramic actuator is modeled using the Preisach model and a neural network architecture using input-output data mapping as the inverse function of Preisach model is utilized.

前向补偿控制器设计方面，先以布列谢希之数学模式来模式化压电陶瓷的磁滞特性，再由实测值求得模式内之参数值，并应用类神经网路结构取代Preisach数学模式的反涵数以作为前向控制器之用。

In theory we require linear independence among variables used as inputting or outputting of BP net when we model the mineral processing plant with BP net. However it is always definite relativity in inputting variables or outputting variables in modeling of the mineral processing plant, which sets definite obstacle in high quality modeling.

在应用BP网络建立选矿厂数学模型时，理论上要求作为BP网络的输入变量之间或输出变量之间应是线性无关的，而选矿厂数学建模中，输入变量之间或输出变量之间往往存在着一定的相关关系，这对建立高质量的模型设置了一定的障碍。

The main work of this thesis is that basing on the documents of [77] , [78] , [79] , [80] , [81] probe into the applications of the duality theory in the macroeconomic analysis combining with some important problems in the modern economics, at the same time especially pay attention to the microfoundation of the macroanalysis.

本文的主要工作就是在[77]，[78]，[79]，[80]，[81]等文的基础上，以数学规划中的对偶理论做为基本数学工具，结合现代经济学研究的几个重大课题深入系统地探讨了对偶理论在宏观经济分析中的应用，同时也特别注重了宏观分析赖以存在的微观基础。

ABSTRACT It is very difficult to get exact mathematical models of industrial processes, models used in design procedure of control systems are commonly mathematical models through approximation.

在实际工程应用中通常很难得到被控对象的精确数学模型，在控制系统设计过程中所采用的模型常常是在一定程度上的经过近似化处理的数学模型。

Mathematical expectation is the random variable one of the important features of mathematics, the average value of random variable response to the size, in practical application has a pivotal role.

数学期望是随机变量的重要数学特征之一，它反映随机变量平均取值的大小，在实际应用中有着举足轻重的作用。

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。