数学分析

To mathematically characterize the deformation of the middle surface of a shell, the metric tensor and curvature tensor ought to be investigated in detail.

为了从数学角度更好地描述壳体中性曲面如何变形，通过渐近分析和张量分析，给出了当壳体中性曲面发生形变时度量张量和曲率张量改变量的完整表达式。

Finite element pretreatment of the cylinder head has been done by adopting the Pro-Processing module of the software.

利用功能强大的分析软件I-DEAS，建立了一个可以准确分析CY4102BZQ柴油机缸盖的数学模型。

As a consequence, based on the water system denseness method and the tectonic d...

论文在分析地应力及地应力场特征和规律基础上，论述了地应力场主要组成部分；较系统地阐述了粗集理论的主要内容，应用粗集理论计算各因素对地应力场的影响，并提出基于粗集理论计算权重的方法；解释了图像滤波使图像边界模糊的原因，提出基于粗集理论的图像滤波方法；研究TM图像各波段的信息特征、最佳波段组合及各波段赋色；剖析构造形迹在反推构造应力场中作用，建立断裂构造形成时的构造力学模型；利用遥感资料解译了与新构造应力场密切相关的水系，在GIS支持下，应用水系密集度方法和构造力学模型计算了新构造应力场的方向与大小；分析了地形起伏对重力场的影响，并建立了相应的数学模型；研究了地应力在矿山巷道及开采设计中的应用。

This dissertation has conducted some information superiority oriented research focusing on some key technologies such as information acquiring, object recognition, situation assessment, threat assessment, target assignment, effectiveness evaluation of C~4ISR system, effectiveness evaluation of NCW in cognitive domain and so on. The main research and devotement of this dissertation are listed as follows: 1. Based on the analysis of physical meaning and campaign course of Lanchester linear law, we proposed a model reflecting the impact of surveillance and reconnaissance on force attrition. The model also discussed the effect of asymmetry information on the outcome of the battle, and conquered the disadvantage of Lanchester equation in modeling C~4ISR system.

本文面向信息优势对C~4ISR系统的信息获取、目标识别、态势评估、威胁估计、武器分配、效能评价以及网络中心战等关键技术进行深入研究，取得了一些创新性成果：(1)通过对Lanchester线性率中各参数物理意义及作战过程的分析，建立了反映侦察和监视效果的兵力消耗过程模型，并引入博弈论分析了战场上信息的不对称对交战结果的影响，克服了描述C~4ISR系统的Lanchester方程没有考虑作战单元、对手和环境间的动态交互以及数学结构简单的缺点。

The critical heating rate for different body radius was predicted by comparing the gas pressure when the peak degradation rate occurred with the threshold body strength which was determined by the diametric compression test of the green body during thermal debindering.

摘 要：以聚乙烯醇和NiFe2O4/Ni型金属陶瓷压坯为对象，采用热重分析研究PVA在N2气氛中的热脱脂行为，建立PVA热脱脂速率的数学模型，在此基础上，模拟并计算PVA分解产物气体在多孔粉末压坯内的压力构建情况；结合粉末压坯脱脂强度测试结果，分析粉末压坯在脱脂过程中压坯尺寸、粘结剂含量等因素对升温速率和脱脂时间的影响，获得不同半径尺寸压坯的极限升温速率。

Furthermore,this course is benefitial to study differential topology, Riemannian Geometry, Lie group and Nonlinear Analysis etc.

为进一步学习微分几何、微分拓扑、几何分析、黎曼几何、李群、低维拓扑和非线性分析等相关课程奠定良好的基础，并为阅读当代数学文献创造条件。

This article uses the method of mechanical and dimensional analysis to establish the model of transmiting function of machine components and whole system.

本文采用机理分析和量纲分析的方法，建立了机械零件及整个系统的传递函数的数学模型和有功功率负荷在已运行机组间的最优分配模型等。

In this thesis, with the aid of the method of reconstructive direction cosine matrices of the analysis and synthesis of spatial mechanism, the more overall and systematic theoretical research is done about trident-bar universal joint and drawn some useful conclusions about kinematics analysis, dynamics analysis, kinematical precision analysis, vibration analysis, simulation and experimental results analysis, mechanism type selection analysis based method of fuzzy distinguishable pattern, integrated designing prototype system.

本文以改造的方向余弦矩阵为数学工具，以三叉式万向节为研究对象。进行了机构有关的解析求解、仿真和试验结果分析，基于模式识别技术的机构选型及机构的集成设计原型系统，得出了以下结论：(1)采用改造的方向余弦方法适用于空间机构的运动求解及动力求解。它的特点是解析明了，以矩阵方式体现，适合计算机求解。并以万向节为实例进行了万向节的详细的运动分析，建立了求解的各个变换矩阵，得出了机构的详细的运动关系。

In this way the satisfactory consistency level of judgment matrix can be recognized from the viewpoint of matrix distance.

从模糊层次分析法在卫星设计中的实际应用出发，基于模糊数学中关于梯形模糊的一些成果，提出了梯形模糊数框架下的层次分析法——梯形模糊AHP。

A numerical method is gived to distinguish that a Petri net is a time charac-teristic nets or not.The time characteristics of transmit are discussed and the density formula of transmit is given. stochastic petri nets ; time characteristic ; distractive matte

一般情况下，随机Petri网现有的分析方法大多是假定变迁的发射时间服从负指数分布，然后将网标识过程等价于连续参数马尔可夫过程，然后利用求解马尔可夫过程的一套数学方法来分析Petri网的时间特

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。