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The concept of Generalized Fibonacci Queue is presented, based on which, the construction of module affine transformation is resolved.

研究了仿射模变换的构造问题在第3章提出了广义Fibonacci序列的概念,在此基础上,成功地解决了整系数的仿射模变换的构造问题。

Using the information consistency principle, the first step of the algorithm transforms the identification problem into a constrained convex programming ,the result of which is then used ,in the second step, to approximate systems in the uncertainty set to obtain the identified nominal model based on a polynomial approximation theorem.

第一步通过信息一致性原理把辨识问题转化为受限凸规划问题,第二步利用一个多项式逼近定理在第一步结果基础上,对不确定集中的系数进行逼近,得到辨识出的名义模型。

Finite Element Method is an important means of engineering subject and has been proved to be a common method in many subjects. However, disadvantages still remained. During the structural analysis, large amount of high-order units were used in order to ensure the precision of arithmetic solution when using Finite Element Method to do discrete processing. This will cause high order of coefficient matrix of corresponding equation group.

有限元方法是工程学科的重要工具,被证明为在许多科学和工程领域中连续物理系统模拟的一种普遍方法,但缺点是随着工程结构分析问题越来越复杂,在结构分析中,为保证数值解的精度,在使用有限元方法离散处理时,往往要用大量的高阶单元将结构剖分得很密,这时相应的代数方程组的系数矩阵的阶数很高,即使用目前速度最快的串行机来进行求解,费时仍然太多且问题的规模受到内存容量的限制。

Firstly, we discuss the boundary value problem of one dimensional biharmonic equation in an interval and its variational problem,multiresolution analysis in the Sobolev space , then solve it with wavelet-Galerkin methods.

首先本文讨论了一维双调和方程边值问题及其相应的变分问题,定义Sobolev空间的多分辨分析,用小波–伽辽金方法进行数值求解,两组基下得到的系数矩阵为七对角阵和块状对角阵。

Based on investigating the short and intermittent structural plane, surrounding rockmass of the huge underground powerhouse in Three Gorge has been divided into five statistical similar areas according to its characteristic of rockmass structure by applying structure plane network simulation. Distributed characteristic of structural plane has been studied and based on it mechanics macrocharacteristic has been studied:(1) It is the first time that based on the result of structural plane network simulation rockmass quality of every structure area has been studied with applying blurred information optimum seeking technique and be compared with and RQD method. The result indicated that it has better effect to evaluate rock quality with blurred information optimum seeking technique.(2) It is the first time that the interrelated relationship of the result of in-suit rockmass deformation test and fractal characteristic of structure on test point has been applied to determine rockmass deformation parameter. The question of evaluating deformation parameters of engineering rockmass has been solved.(3) Anisotropy strength parameters have been determined by applying shear zones simulating method. The result indicated that there are different strength parameters in every structural area, after comparing the result of Fast Lagranian Analysis in continua number simulation method with that of method of weighted mean according to continuity. The result indicated that when a suitable reduction coefficient is been considered rockmass strength parameters can be simply and fast determined with method of weighted mean according to continuity where there is not enough test result.(4) Damage characteristic has been studied based on analysis fractal characteristic of structural plane network by applying fractal-damage coupling method. It is the first time that the concept of damage degree has been set up to evaluate rockmass quality according to the biggest principal damage.

通过对短小、断续性结构面统计特征的研究,将地下厂房区划分为五个岩体结构统计均质区,应用结构面网络模拟技术研究了各个岩体结构均质区结构面的发育分布特征,并以此为基础对岩体宏观力学特性进行了深入研究:(1)首次通过在结构面网络模拟计算结果的基础上,应用模糊信息优化技术研究了厂房区各个岩体结构分区的岩体质量并与岩体基本质量指标研究法、岩体质量指标RQD值研究法作了对比,结果表明以结构面网络模拟结果为基础,应用模糊信息优化技术进行岩体质量评价能够取得很好的效果,解决了工程岩体质量的定量评价问题;(2)首次通过对已有的现场大型岩体变形试验结果的分析及相应试验点岩体结构分形特征的研究,建立了结构面分布的分形维数和岩体变形指标间的相关关系,并首次应用这种相关关系根据结构面网络模拟及分形维数计算结果确定了缺少试验结果的地下厂房各工程部位的岩体变形指标而且应用于围岩稳定性计算,解决了工程岩体宏观变形参数的评价问题;(3)应用在结构面模拟网络图上模拟岩体剪切破坏带的方法,得出了岩体在不同方向上的强度参数,结果表明岩体的强度特性与结构面的发育方向和程度有着明显的关系,各个岩体结构均质区具有不同的强度参数;同时还通过应用拉格朗日差分法对岩体强度指标的数值分析并与按连通率加权平均计算法对比表明,按连通率加权平均计算法在考虑合理的折减系数情况下,可以简单快速地对缺少现场大型试验结果的具体工程部位实现岩体强度指标的估计,通过以上研究解决了工程岩体抗剪强度参数的评价问题;(4)通过结构面网络分形维数的研究,应用分形损伤耦合分析方法,研究了厂房区岩体的损伤特征,并首次引入"损伤度"的概念,建立了应用最大主损伤评价岩体质量的指标体系。

Hierarchical linear modeling is the most frequently used technique for analyzing multilevel data. In this paper, the twelve key issues in multilevel research and/or using HLM software were reviewed, and provided their exact meanings and feasible solutions. The 12 key issues included intraclass correlation coefficient, sample sizes, formation of organizational constructs, centering problems, fixed effect and random effect, estimation methods, goodness of fit index, explained variation, multicollinearity, robust standard error, level one variance equation, and empirical Bayes estimates.

本文针对阶层线性模式在多层次研究上有关於技术、测量与方法论所遭遇的问题,进行文献整理并讨论其实务意涵,并依据使用时机、抽样议题、资料汇总、分析方法、与模式评估与估算等五方面整理出十二项重要议题与解决之道,包括:组内相关系数的意义与判断准则、多层次研究各层的样本数问题、变数聚合成组织层次问题、中心化的意义、固定效果与随机效果的设定、估计法的选择、适配度的比较、解释变异量的计算、多元共线性的分析、强韧性标准误、第一层误差项变异数与实证贝氏估计值的运用。

Work in real life, often encounter some special linear programming problems, such as a typical problem of material transport, and their coefficient of constraint equations with special structure, with the list of operating method to solve such problems than the traditional simple method, simpler and quicker.

在实际生活工作中,经常遇到一些特殊的线性规划问题,如典型的物资调运问题,它们的约束方程组的系数具有特殊的结构,用表上作业法解决此类问题比用传统的单纯形法更简便、快捷。

In order to design a scheme to quantify the observation and to get the fusion estimation from the received bits,the estimation fusion problem was changed into that of decision fusion.The interval was divided into subintervals,each subinterval was assigned a hypothesis,suitable cost coefficients of each hypothesis was selected to form the Bayes cost functional,and a mapping from estimation fusion to decision fusion was constructed.

采用将区间划分,每一区间形成一个假设,规定假设之间合适的损失系数,将估计融合问题化为决策融合问题,运用成熟的决策融合的方法,对于现在研究还不成熟的估计融合传感器量化问题设计了一个解决方案,将决策融合的决策结果作为最终的估计,从而在观测被量化的条件下达到较优的估计效果。

On the basis of documentary summary of the research on banking scale economy in china and overseas, after an experienced judgment and comparison of the market structure and economic result in china's banking industry in accordance with a great deal of related specific data, an empirical and comparative analysis is made on the scale economy for state-owned commercial banks and share equity commercial banks in china by using transcendental cost function.

在介绍国内外有关银行业规模经济问题研究的文献综述基础上,通过依据大量相关具体数据对我国银行业的市场结构及效益问题进行经验性的判断比较,最后运用超越对数成本函数对我国国有商业银行与股份制商业银行的规模经济问题进行实证比较分析,并得出结论:从总体上看,我国商业银行规模系数变化不大,但近几年来在规模效率方面,国有商业银行相对于股份制商业银行来说进步更为显著。

A method based on linear singularity analysis of image is presented. The improved method, called Directional Beamlet Transform is better than traditional Beamlet transform about directional information of image and has the ability of representing linear-singularity of image. According to the analysis of linear singularity, edge detection is transferred to detecting singularity point in the coefficient matrix of DBT.

针对基于图像像素点分析的边缘提取方法存在无法同时满足高抑噪性、连续性、定位性等问题,本文提出了方向Beamle 变换方法,在定义图像线奇异性的理论基础上,利用DBT 对图像进行线奇异性分析,依据Beamlet 变换具有的线段提取能力,将图像边缘检测问题转化为方向Beamlet 变换系数矩阵中奇异点的检测问题,以降低噪声点对边缘检测结果的影响。

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Lao Qiu is the Chairman of China Qiuyang Translation Group and the head master of the Confucius School. He has committed himself to the research and promotion of the classics of China.

老秋先生为中国秋阳翻译集团的董事长和孔子商学院的院长,致力于国学的研究和推广。