数学分析

Introduce the elementary knowledge related to dimension chain; Propose mathematical model of dimension chain, and analyze the process to build mathematical model; Analyze the search process to generate dimension chain using deep first search method.

介绍尺寸链的相关基础知识；提出尺寸链数学模型，分析了以图论为基础的数学模型的建立；分析了以深度优先搜索法进行尺寸链自动生成的搜索过程。

With the investigation of the domestic and foreign literature systematically, the bases on the domestic and foreign present research and the comprehensive utilizations of the various knowledge of fluid mechanics in porous medium, reservoir engineering, mathematical physics, perforation completion, numerical simulation and so on, this article takes numerical simulation of gas reservoir of water solubility as the research aim which has completed following research works and obtained the corresponding research results: it analyzes the nature of the Water-soluble gas and formation water as well as the influent factors of the solubility through the study of massive materials; It establishes mathematical models three-dimension, the dual medium, the gas-water phase through the way of finite difference in the migration of water-soluble gas, which describes the entire process of release, migration and production in formation, where it considered the problems of variable bubble point; According to the numerical models of gas reservoir of water solubility it provides solution procedure that based on black oil model; It discovers that there will obtain the good effects in the lowly speed of development through simulation; the reinjection of formation water may largely enhance the produce degree of water-soluble gas when we consider reinjection in simulator; It considered the influence of perforated completion on development so as to increase the simulator"s versatility, It discovers that the simulator may reflect the conditions of development when we exanimate he simulator"s reliability with the empirical datum.

本文以水溶性气藏数值模拟研究为研究目标，在系统调研国内外文献、深入分析国内外研究现状的基础上，综合利用渗流力学、油气藏工程、数学物理方法、射孔完井以及数值模拟理论等多方面的知识，完成了以下研究工作并取得相应的研究成果；①通过对大量的资料调研，分析了水溶气、地层水性质、储层地质性质以及影响气体在水中溶解度的因素。②考虑到由于高压产生的大量水力裂缝，采用有限差分方法建立水溶气运移的三维、双重介质、气-水两相全隐式数学模型，该模型描述了水溶气在地层中的释放、运移和采出的整个过程。③在原有黑油模型的基础上，根据水溶性气藏数值模型编制了该数值模型的求解程序，该程序可以求解单重、双重介质两种情况。④通过模拟不同开采速度对水溶气开发效果的影响，发现开采速度较慢的时候可以取得较好的开采效果。⑤在模拟器中考虑了注水对水溶性气藏开发的影响，地层水回注可以大幅度提高水溶气的采出程度。⑥为增加模拟器的通用性，在模拟器中考虑了射孔完井方式对开采的影响。⑦检验模拟器计算的可靠性，发现在使用实验数据对水溶性气藏进行模拟时，模拟器可以很好的反映气藏开发的状态。

Based on synthetic evaluation model in fussy mathematics and cubic exponential smoothing method of time series, the evaluation and forecasting models are established.

3对常用旅游评价、预测的数学模型进行总结、分析后，采用基于模糊数学方法的模糊综合评价法、基于时间序列分析方法的三次指数平滑法建立本系统的评价及预测模型。

The mathematical programming formulation and related solution procedure are established by the traditional BEM. Through the discretization of space and time, the elastoplastic stress simulation method and reduce-basis technique are adopted to construct the self-equilibrium stress field. The numbers of variables and constraint equations in the resulting mathematical programming formulation are reduced greatly and then the dimension obstacle of computation in 3-D limit and shakedown analysis is overcome.

采用常规边界元方法建立了三维结构极限与安定分析的数学规划格式，通过对时间和空间的离散化，并采用弹塑性模拟法构造自平衡应力场和引入减缩基技术，大大减少了所形成的数学规划格式中的未知变量和约束方程的数目，有效地克服了三维结构极限与安定分析中的维数障碍问题。

To verify the hypotheses of this study, collected data were analyzed by a three-way ANCOVA and a four-way mixed design ANOVA.

搜集所得的资料，本研究针对数学工作表现进行三因子共变数分析，并针对数学学习动机进行四因子混合设计变异数分析。

Based on the results of the statistical analysis of a large amount of measured data in excavation,a fundamental theoretical model of ground surface movement due to deep excavation is established by using the fuzzy measures theory of fuzzy mathematics.

采用模糊数学中的模糊测度理论导出了深基坑开挖引起的周围地表移动变形问题分析的数学模型，并用该模型对深基坑开挖引起的周围地表移动变形工程实例进行了具体的计算分析。

In this paper, a method, which is based on GPS Time system, is applied to synchronize all GIBs. With GPS receiver's 1PPS output , GIB can compensate for the crystal oscillater's drift. 4. Mathematic Model of UGPS Based on the principle of hyperbola intersection, an iterative algorithm and an analytic algorithm are deduced to resolve system equations with four GIBs observations. It can also be used to resolve the approx coordinate with more than five GIBs'observations.

系统的定位数学模型分析基于双曲线观测的定位模型是系统的基本原理，本文对该数学模型的求解进行了详细分析，对于四枚浮标的系统，本文给出了了迭代算法和解析算法求解的推导，同时对于多余四枚浮标的系统，本文给出了最小二乘算法求解推导。

In this paper, the propagation and focus properties for several modes describing hollow beam are analyzed, and the focus properties for hollow gaussian mode are particularly discussed. Furthermore, a new mode, high-order Bessel-Gauss mode, is put forward to describe hollow beams. The results for high order Bessel-Gauss beams propagating through lens focusing system and free space are derived by terms of Collins integral formula.

本文分析了几种描述空心光束数学模型的传输特性和聚焦特性，着重讨论了描述非中空光束的数学模型的聚焦特性；同时提出了一种描述完全中空的空心光束的新模型――高阶贝赛耳高斯模型，并且运用Collins积分公式，分析了这种新模型的空心光束的传输特性和聚焦特性。

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。

In this dissertation, author creates kinematics mathematical model of McPherson suspension and steering system wit...

本文采用多刚体动力学方法建立了麦弗逊悬架和转向系统运动学分析数学模型，并采用MATLAB语言编制该数学模型的运动学分析程序KASS。

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。