应用函数

The application of Karhunen-Loeve expansion to simulating the soil parameters random field is researched;and the characteristics of the KL decomposition are analyzed;and the Galerkin finite element method is adopted to solve the integral equation numerically in the irregular region and for arbitrary covariance function and to simulate the anisotropic conductivity field.

研究了Karhunen-Loeve展开在土性参数随机场模拟中的应用，分析了KL展开的特点，针对不规则区域和任意类型协方差函数提出了积分方程的Galerkin数值解法，模拟了土壤渗透系数各向异性随机场。

Significance and application of covariance functions are discussed.

对协方差函数的意义和应用做了讨论。

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。

A new application to parameter estimation in cubic spline function fitting via genetic algorithms is presented.

介绍了遗传算法的一种新应用——三次样条函数拟合中的参数估计问题。

The logical function was expressed in terms of cubic notation andthe logical operation was carried out cubically through intersection,compatibility and sharp product.

采用立方符号表述逻辑函数，把逻辑运算表示为立方的相交、相容及锐积运算，提出用判断最小项来完成对给定程序的判断和校正，进而实现了计算机辅助逻辑综合，得到了最优的逻辑设计结果，并将此应用于计算机辅助气动系统设计中取得了良好的效果

In order to solve these problems encountered in the application of Artificial Intelligence in fault diagnosis of power transformer, some improved methods are presented, the main research work of this dissertation consists of the following parts: The conception of cumulative frequency in data reliability analysis is utilized to unify the results of Dissolved Gas Analysis. And with the application of the class-attribute function, the evaluation of typicality of samples and the selection of characteristic vectors of fault could be realized by integrating the technique of multivariate statistical analysis.

针对目前应用人工智能技术进行变压器绝缘故障诊断时所遇到的主要困难，本文进行了深入的研究与分析，进而提出了相应的解决方法，主要的研究工作如下：提出利用可靠性数据分析中累积频率的概念对油中溶解气体分析数据进行归一化处理；并在引入"类属函数"的概念后，结合多元统计分析技术实现了样本的典型性评价与故障特征矢量的选取。

A contact problem of decagonal two?

通过引入位移函数和应用Fourier分析与对偶积分方程理论圆满解决了在一个平底冲头作用下十次二维准晶材料的接触问题，得到了此材料接触问题应力与位移的解析表达式。

For determining the membership function in text classification with fuzzy support vector machine, a construction approach of text classifier based on fuzzy support vector machine and decision tree was proposed.

针对模糊支持向量机在文本分类应用中的隶属度函数确定问题，提出了一种基于模糊支持向量机与决策树的文本分类器的构建方法。

Keywords: Composition, decomposition, function, operator, discovery, maintenance.

作为应用，本文探讨了关于知识发现和知识维护的函数型知识发现过程。

Methods According to chemical equilibrum principle and the use of derivative in judging the increasing and decreasing of function. this influence has been discussed.

依据化学平衡原理和导数在判定函数增减性方面的应用，分析了反应物初始浓度变化对转化率的影响。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。