“统计信息”与“信息高速公路”

本文从我国统计信息事业的现状，提出了关于第一类统计与第二类统计。同时指出统计信息事业的迅速发展与繁荣，首先必须实现两类统计的相互渗透；其二必须与计算机技术密切结合，以建立起各级各类统计信息的高速公路，使统计信息更好地为我国的科技、经济、社会的全面发展提供有效的服务。     

我国教育统计指标体系基本结构模式的研究

一、前言 文[1]分析了我国第二类教育统计现状及教育统计与现行教育统计指标体系的关系,文中最后对如何建立“教育统计指标体系”作了初步探讨.本文将在此基础上进一步研究运用统计分析与系统论的方法建立中国教育统计指标体系的基本依据,结构模式,设计步骤及其应用结果的评价. 二、建立教育统计指标体系的 基本依据 现代化的教育管理过程是在充分掌握有效的统计数据基础上实现的.从系统论的角度来看。教育本身是一个大系统,而且这个大系统不是孤立地存在于社会之中,它是与各种社会现象之间存在着纵横交叉,既相互联系,又相互制约的关系.从它…     

应用教育统计理论 分析珠算教学效果

珠算教学中，我常用教育统计的方法，分析自己的教学效果。     

中学教育里的概率与统计

我想今天讲一下中学教学里的概率与统计．主要讲一下统计，然后稍微说一下概率．因为新课程（现在实行的高中课程）里面，加了导数、向量、常用逻辑用语、概率统计等内容．我感到在这几个方面里面出现问题最多的还是概率统计．感到不太好把握的也是概率统计．     

灰色统计在人员素质评估中的应用

本文介绍了灰色统计的方法，并利用灰色统计的方法对教员素质进行了评估，它开辟了人员汞质评估的新途径。     

教育统计与测评在高中数学教学管理中的应用研究

教育统计与测评是教育信息化背景下现代教育教学中不可或缺的重要手段,在教育教学评价中发挥着越来越大的作用．而教育统计与测评在高中数学教学管理中的应用研究却并不多见,这一现象严重制约了这一评价和管理手段的推行,更无法发挥其在数学教学管理中应有的作用．     

智能的统计软件──统计专家系统

计算统计是数理统计的一个重要分支，而统计专家系统是计算统计中一极热门的话题。本文简介了统计专家系统的概念及发展过程，并根据本人所作的工作介绍了统计专家系统的基本结构和构造过程等。最后对未来的统计专家系统提出了一点设想。     

基于集值统计的直觉模糊聚类

针对聚类问题中样品属性值不能或很难直接给出的情况,提出了一种基于集值统计的直觉模糊聚类方法,讨论了四种情况下的属性直觉模糊相似矩阵的公式,给出了聚类方法的步骤,最后通过算例 对该方法进行了说明和分析.     

第九届日中统计研讨会征文通知

“第九届日中统计研讨会”将于2007年9月25-28日，在日本札幌市北海道大学举行．中国方面由中国概率统计学会、中国统计学会、中国现场研究会和中国统计教育学会共同协办．     

临床医学论文中的统计问题

本文对中华医学会主办的１４种临床医学和基础医学杂志发表的１５５篇论著，从医学统计的角度，按２２项指标，进行了一次调查研究。结果表明，与１９８０年中华医学会召开医学科研设计座谈会以前的情况相比，论文质量有了明显提高，但仍存在不少不可忽视的问题。常见的问题有：试验设计不良，缺少防止偏性的有力措施，组间可比性差，样本含量不足；对两类错误的控制、置信限的应用和排除混杂因子的影响重视不够；统计软件、统计图和多元分析方法的利用率还不够高。针对存在问题提出了一些见解和建议。     

Some combinatorial identities via Fibonacci numbers

The Pascal matrix and the Stirling matrices of the first kind and the second kind obtained from the Fibonacci matrix are studied, respectively. Also, we obtain combinatorial identities from the matrix representation of the Pascal matrix, the Stirling matrices of the first kind and the second kind and the Fibonacci matrix.     

一些包含Chebyshev多项式和Stirling数的恒等式

利用初等方法研究Chebyshev多项式的性质,建立了广义第二类Chebyshev多项式的一个显明公式,并得到了一些包含第一类Chebyshev多项式,第一类Stirling数和Lucas数的恒等式.     

两类Stirling数的行列式表示

通过计算两个广义的范德蒙(Vandermonde)行列式,得到了第一类无符号Stirling数和第二类Stirling数的一种新的表示方法:用行列式来表示.     

一个序列的组合解释及其应用

该文给出了一个序列的组合解释，讨论了这个序列在研究两类Chebyshev多项式，广义Fibonacci序列和广义Lucas序列中的一些应用.     

三对角行列式与Chebyshev多项式

给出了三对角行列式的几种算法,利用三对角行列式证明了两类Chebyshev多项式的几种显式.     

On smoothers for multigrid of the second kind

We study smoothers for the multigrid method of the second kind arising from Fredholm integral equations. Our model problems use nonlocal governing operators that enforce local boundary conditions. For discretization, we utilize the Nyström method with the trapezoidal rule. We find the eigenvalues of matrices associated to periodic, antiperiodic, and Dirichlet problems in terms of the nonlocality parameter and mesh size. Knowing explicitly the spectrum of the matrices enables us to analyze the behavior of smoothers. Although spectral analyses exist for finding effective smoothers for 1D elliptic model problems, to the best of our knowledge, a guiding spectral analysis is not available for smoothers of a multigrid of the second kind. We fill this gap in the literature. The Picard iteration has been the default smoother for a multigrid of the second kind. Jacobi‐like methods have not been considered as viable options. We propose two strategies. The first one focuses on the most oscillatory mode and aims to damp it effectively. For this choice, we show that weighted‐Jacobi relaxation is equivalent to the Picard iteration. The second strategy focuses on the set of oscillatory modes and aims to damp them as quickly as possible, simultaneously. Although the Picard iteration is an effective smoother for model nonlocal problems under consideration, we show that it is possible to find better than ones using the second strategy. We also shed some light on internal mechanism of the Picard iteration and provide an example where the Picard iteration cannot be used as a smoother.     

The Legendre–Stirling numbers

The Legendre–Stirling numbers are the coefficients in the integral Lagrangian symmetric powers of the classical Legendre second-order differential expression. In many ways, these numbers mimic the classical Stirling numbers of the second kind which play a similar role in the integral powers of the classical second-order Laguerre differential expression. In a recent paper, Andrews and Littlejohn gave a combinatorial interpretation of the Legendre–Stirling numbers. In this paper, we establish several properties of the Legendre–Stirling numbers; as with the Stirling numbers of the second kind, they have interesting generating functions and recurrence relations. Moreover, there are some surprising and intriguing results relating these numbers to some classical results in algebraic number theory.     

Cycles of the second kind for uncertain pendulum-like systems with several nonlinearities

The existence of cycles of the second kind was considered for uncertain pendulum-like systems with several nonlinearities. On the basis of the Kalman–Yakubovich–Popov (KYP) lemma, linear matrix inequality (LMI) conditions guaranteeing the existence of cycles of the second kind for such nonlinear systems under parameter uncertainties are established. By virtue of these results, an interesting conclusion is reached: that the synthesis problem ensuring the existence of cycles of the second kind for such an uncertain nonlinear system can be converted into a synthesis problem for a system without uncertainties. A concrete application to a synchronous machine demonstrates the validity of the proposed approach.     

第二类曲线(面)积分的向量学习法再探

以通量概念引入第二类曲面积分、以环流量概念引入第二类曲线积分,并用向量形式表达高斯公式、斯托克斯公式等关系,以期达到第二类曲线(面)积分部分的知识点符号表达简明、计算和公式容易记忆的目的.     

MULTILEVEL AUGMENTATION METHODS FOR SOLVING OPERATOR EQUATIONS

We introduce multilevel augmentation methods for solving operator equations based on direct sum decompositions of the range space of the operator and the solution space of the operator equation and a matrix splitting scheme. We establish a general setting for the analysis of these methods, showing that the methods yield approximate solutions of the same convergence order as the best approximation from the subspace. These augmentation methods allow us to develop fast, accurate and stable nonconventional numerical algorithms for solving operator equations. In particular, for second kind equations, special splitting techniques are proposed to develop such algorithms. These algorithms are then applied to solve the linear systems resulting from matrix compression schemes using wavelet-like functions for solving Fredholm integral equations of the second kind. For this special case, a complete analysis for computational complexity and convergence order is presented. Numerical examples are included to demonstra