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The coordinate transformation and numerical integration was executed on the discretized tetrahedral elements based on which the 3-D MT vector-finite element method was implemented. A whole computation framework for 3-D vector-finite element method with unstructured mesh was given. Based on this some typical models were tested which has demonstrated that our algorithm could distinctively avoid problems caused by the fake solution and both the accuracy and efficiency were enhanced which made our algorithm has a bright future for further application.3. According to theory of Sobolev vector space and the discretization of Helmholtz space, the error estimate which was suitable for 3-D MT vector-finite element modeling was deduced by which the procedure of adaptive technique was guaranteed.4. Based on the fully unstructured tetrahedralization and optical strategy, the 3-D magnetotelluric h-adaptive vector-finite element method was presented through combining the error estimate. With this work, the accuracy and creditableness for 3-D MT complicatedly modeling was guaranteed.5. The 3-D magnetotelluric h-adaptive vector-finite element algorithm with unstructured mesh was implemented.

针对非结构化的四面体单元,采用坐标变换和数值积分方法,实现了MT三维矢量有限单元分析,建立起基于非结构化网格的三维MT矢量有限元计算流程,并对典型模型和国际标准电磁模型进行了数值模拟,结果对比和分析表明,基于非结构化网格的三维MT矢量有限元不仅消除了节点型有限元的伪解,而且具有很高的计算精度和速度,有广阔的应用前景。3、根据Sobolev函数的向量空间和Hemlholtz空间的分解,推导出基于残差的三维大地电磁矢量有限元后验误差估计公式,为三维大地电磁自适应矢量有限元数值模拟的实现奠定了基础。4、在完全非结构化四面体单元剖分及优化基础上,结合三维大地电磁矢量有限元后验误差估计公式,提出了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算策略,保证了对复杂大地电磁模型数值计算的精度和可靠性。5、实现了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算流程,对典型模型和国际标准电磁模型进行了数值模拟。

In this chapter, customs union theory and the present conditions have been connected to discuss the realistic meaning of the domestic market integration.

本章还将关税同盟理论和中国当前的实际情况联系起来,讨论国内市场一体化的现实意义。

The theory of Differentiability and Integration.

讲授微分与积分基本理论。

An intelligent fault diagnosis method is also developed based on the integration of qualitative model and quantitative knowledge in the way of signed directed graph and fuzzy theory.

现有的基于知识的智能故障检测和诊断方法,在很大程度上取决于它们的知识表达方式所包含的知识与信息量的多少,以及使用这些知识的有效程度。

The integration of the theory and the practice is significant for the dissemination in modern society.

这些理论和方法的整合对现代社会的传播学又极其重大的意义。

The main works in this paper are as follows:(1). In this thesis, a new method, continuous linearization model, is constructed for the non-linear dynamic systems. The precision Duhamel integration solution for the linearization equation is also given from the theory of linear differential equation. The calculating results show that the new method can improve the calculation precision greatly. In fact, the truncation error is not limited by this method, it can arrive the precision according to the requirement.

本文的主要工作有以下几个方面:(1)由于非线性项的存在,使得多数情况下难以得到非线性动力方程的解析解表达式,目前常使用数值积分方法来求解非线性动力学方程的解,但常规计算方法的计算精度不很理想,本文提出了含Taylor展开项中高阶余项的非线性动力方程的线性化数值计算方法,构造了瞬态线性化方程,给出了Duhamel积分的表达式。

In the 3rd chapter, according to the task and the target of the project, the theory and the technology in the second chapter , we educe the way of the integration and the design of the system .

第三章是基于第二章的理论知识提出了针对本项目系统的集成方法以及总体设计方法。

The development of co-integration analysis theory provides an emollient tool for studying the relation between economic variable and stock market.

协整分析理论的发展为研究经济变量与股市的联系提供了一种有力的工具。

In chapter 3, on the basis of measure, integration and ergodic theory, it is proved that the statistcal properties and the general complexity of the binary sequences (CG-sequences){b〓} b〓∈{1,-1} generated by a kind of chaos systems and mapping η〓 are as good as white noise sequences. These results lay the foundation of further development.

第三章运用测度、积分以及遍历理论中的一些基本原理,证明了由一类混沌差分系统和映射η〓所产生的二元序列{b〓},b〓∈{-1,1},具有与白噪声类似的统计特性和广义复杂度。

In chapter 7, we start by examining on integration of fuzzy and control theory approaches.

在第七章,我们首先研究了模糊逻辑和控制理论技术的集成方法,如fuzzy与PD控制器的集成。

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这两个团体间的分歧难以掩饰。

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这种做法不仅鼓励了更多的反应,而且减少跟风的可能性。

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