翻面矩阵的性质与应用

利用线性变换的观点，构造了翻面矩阵，对丁石孙先生在[1]中提出的翻硬币问题给出了一个简捷的数学模型及求解方法，同时得到相应的翻面矩阵的一些性质和猜想。     

关于矩阵秩的一个重要不等式的改进

根据Sylvester不等式、矩阵秩的性质、线性子空间的性质及矩阵的满秩分解,给出了一个重要不等式的一个改进形式.     

Designing and developing a programme-focused assessment strategy: a case study

Abstract

This case study describes the process that the Humanities Programme Team, in Dublin City University’s Open Education Unit, has undertaken with regard to developing a systematic, programme-focused assessment strategy. It charts the development of an Assessment Matrix that facilitated the enhancement of programme coherence in the context of a distributed modular provision model, and facilitated the use of an appropriate range and scaffolding of assessment types in relation to learning outcomes. To conclude, four recommendations on developing a programme-focused assessment strategy are presented: explicitly link assessments to both programme and module learning outcomes; provide adequate supports and resources for those designing and writing assessments; provide those Assessment Writers with appropriate professional development, as well as an opportunity to be part of an assessment writing community; and to embed a programme-focused assessment strategy into a programme’s quality assurance processes.     

矩阵与其高次伴随矩阵的特征根

讨论n阶方阵A与其对应的高次伴随矩阵A(m)的特征根,根据A的特征根给出了高次伴随矩阵A(m)的特征根的表达式,并利用数学归纳法证明了结论。     

H的本征方程的一级近似(n1s)(n2p)组态的求解过程

(n1s)(n2p)组态的求解过程,即通过其Slater波函数及H矩阵,列出其解的结构,求出H矩阵及其久期方程的解,最后求出(n1s)(n2p)组态的原子能量和波函数。     

判定n元隐函数取极值的充分条件Hesse矩阵

在本文中,我们给出了判定n元隐函数取极值的充分条件的Hesse矩阵,为判定n元隐函数取极值提供了一般的判定方法。     

Delay-dependent robust<Emphasis Type="Italic">H</Emphasis><Subscript>∞</Subscript> control for a class of uncertain switched systems with time delay

For linear switched system with both parameter uncertainties and time delay, a delay-dependent sufficient condition for the existence of a new robustH _∞ feedback controller was formulated in nonlinear matrix inequalities solvable by an LMI-based iterative algorithm. Compared with the conventional state-feedback controller, the proposed controller can achieve better robust control performance since the delayed state is utilized as additional feedback information and the parameters of the proposed controllers are changed synchronously with the dynamical characteristic of the system. This design method was also extended to the case where only delayed state is available for the controller. The example of balancing an inverted pendulum on a cart demonstrates the effectiveness and applicability of the proposed design methods. Project (No. 2002CB312200) supported by the National Basic Research Program (973) of China     

有向图的扩展邻接矩阵存储模式研究

本文对于有向图的存储模式进行了研究。在邻接矩阵和邻接表的基础之上，提出了一种新的有向图存储结构一扩展邻接矩阵，并研究了建立该矩阵的算法。扩展邻接矩阵存储模式同时具有邻接矩阵、邻接表和十字链表三种传统存储结构分别可以快速从有向图获得不同信息的优点。扩展邻接矩阵为有向图的应用，提供了一种高效的存储方案。     

Visualizing Matrix Multiplication

Efficient visualizations of computational algorithms are important tools for students, educators, and researchers. In this article, we point out an innovative visualization technique for matrix multiplication. This method differs from the standard, formal approach by using block matrices to make computations more visual. We find this method a helpful alternative for introducing matrix multiplication.     

群体判断的一种方法

利用改进的三标度法，给出群体判断的一种简单、实用的有效方法．