应用数学

A tolerance analysis procedure based on homogeneous transform and Monte Carlo Simulation is proposed in this research. The propagation of variation in 3-D space is treated as propagation of errors during transformations of Cartesian frames, which are set up on the Key Characteristic Points.

通过定义车身装配坐标系统，根据微分运动的原理，建立了计算车身零部件位姿关系的数学模型，对典型公差语义的数学表达进行了研究；并应用蒙特卡洛模拟，对关键特征点偏差传播的统计特性进行了分析。

Maths can be applied in all fields of selene, and naturally it is .said that maths is the mother of all subjects.

数学可以应用在各个领域的号selene，当然是。说，数学是所有科目的母亲。

This Paper mainly introduces the set uP. of the mathematic model, the mathematic choice of simulation algorithm, the content of the computer simulat...

本文主要介绍了连续铸钢凝固传热过程数学模型的建立、仿真算法的数学抉择、连续铸钢凝固传热过程计算机仿真软件包的主要内容及该软件包应用于实际的结果分析等。

Three dimension metal plastic deformation of special shaped products was transformed into two dimension axis symmetry problem, analysis model of the continuous stream and strain rate fields were sough.

将三维金属异型材挤压塑性成形问题转化为二维轴对称成形问题，求解椭圆异型挤压金属塑性成形连续流动场和应变速度场的数学解析模型，并应用金属塑性成形理论，建立了精密挤压异型材优化模腔的数学模型，同时为精密快速地实现挤压模腔的CAD/CAM一体化目标提供了技术支持。

The article covers the full research on such aspects as mathematic description, numerical analysis method and their practical applications. The diphase heating surface is divided into a hot water section, a evaporation section and a micro overheat section , the problems of model switching are avoided successfully between subcritical and supercritical working condition in the model of The diphase heating surface, and the model can be used for between subcritical and supercritical working condition without causing the model stiff infinity prick up problem. The mathematical model and dynamic characteristic account is unified and predigested for the diphase heating surface of once—through boiler under subcritical and supercritical pressure, and propose that the working conditions at phase change point could be used as divide criterion between water region and steam region under supercritical pressure, the problems are solved successfully between water and steam phase change point under supercritical pressure.

本文在过程的数学描述、数值分析以及实际应用等方面进行了系统的研究分析，将双相受热面统一划分为热水段、蒸发段和微过热段三段，所建立的双相受热面模型不但成功地避免了超临界工况与亚临界工况间的模型切换，而且消除了由区段划分欠妥所引起的模型刚性无限加剧的问题，统一并简化了超临界及亚临界压力下直流锅炉双相区段的数学模型和动态特性计算，而且提出了利用相变点工况作为超临界压力下划分汽水区域的标准，解决了超临界压力下水与蒸汽的相变点问题。

Vanadium content in steel,deformation temperature,deformation rate,cooling rate,on high temperature thermoplasticity of low alloy vanadium steel was quantitatively investigated on GLEEBLE - 1500 thermal - mechanical simulator by means of orthogonal design test.

应用GLEEBLE-1500热力模拟机，采用正交分析法定量研究了低合金钢中含钒量、变形温度、变形速率、冷却速率等因素对含钒钢高温热塑性的影响，用数学回归法建立了各影响因素与钢的热塑性间的数学模型，为制定含钒钢连铸工艺提供了依据。

School of Mechanical and Electrical Engineering, Central South University, Changsha 410083, China）Abstract: Mathematic model of the tiny terrain covered cobalt-rich crust and the cutting process of mining head's cutting tooth were established by considering the force of sea water, and simulation software was developed by GUI tool of Matlab software to study the distributive properties of maximum load of the cutting tooth.

摘 要：考虑海水力的作用，建立深海钴结壳微地形的数学模型和采矿头截齿切削过程的数学模型，应用Matlab软件GUI工具编制相应的仿真程序，并通过实验验证仿真模型的正确性和仿真软件的工程有效性。

From the view of methodology,the meaning and function of transformation method in mathematical analysis are enunciated.

从方法论角度阐述了数学化归法在数学分析中的应用和意义。

Vector is one of the important and basic concepts in modern mathematics. It is also a tool that links up algebra, geometry, and trigonometric.

向量是现代数学中重要和基本的数学概念之一，它是沟通代数、几何与三角函数的一种工具，有着极其丰富的应用背景。

These present many different kinds of practical mathematical problems, including applications to surveying, salary distributions, calculations of the areas of simple geometric surfaces and volumes such as the truncated pyramid, and simple solutions for first- and second-degree equations.

这些卷宗呈现出许多不同种类的实用数学问题，其中包括测量中数学的应用，发放薪金，计算像截棱锥这样简单的几何表面积的体积，还有简单的一次二次方程式解法。

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。