优化和发展学生数学认知结构——剩余类及剩余系教学点滴

在《初等数论》“剩余类及剩余系”教学中,通过分析“剩余类及剩余系”思想产生的原因、理论依据及其基本思想方法,从而认识规律安排教学内容为学生提供完整的知识系统,让学生从整体上把握教学内容,形成知识体系,从而优化和发展学生的认知结构。     

用改进的元胞自动化模型模拟不同信号灯控制策略下的交通流

Traffic flows controlled by traffic light strategies were investigated via a cellular automaton model with anticipation, which is suitable for describing urban traffic. Three kinds of strategies, i. e., synchronized, green-wave and random switching lights, were designed, simulated and compared with each other. It is shown that the green-wave strategy is only valid at lower density and there is not an effective way with the three strategies to improve the efficiency of traffic flow at high density.     

高师院校代数与几何课程改革的探索与实践

随着高师院校课程与教学改革的不断深入,代数与几何合并设课已成为高师院校课程与教学改革的选择方案之一.将两门课程整合起来合并设课,不仅能够体现高等代数作为解析几何的工具作用,而且能极大地丰富高等代数的几何背景和几何解释,关注代数思维,突出几何直观.     

BCH-代数与广义结合BCI-代数的关系

利用BCH－代数的理想给出了BCH－代数的商代数的一种定义方法，同时证明了BCH－代数的商代数是一个广义结合BCI－代数。     

基于物理元胞自动机的岩石破坏模拟

为了分析岩石材料的非均质性对其破坏演化的影响,根据元胞自动机理论,从能量的角度建立了一种能够从细观层次上对岩石破坏演化进行模拟的物理元胞自动机模型(Mh-PCA模型),模型引用的Weibull随机分布函数对材料的非均质性进行描述.运用该模型,对m分别为1,5,10,15四种不同均质度材料的破坏模式及其破坏过程中的声发射现象进行了模拟分析.结果表明:材料的非均质性对其破坏有重要的影响,均质度越高,破坏过程中的分支裂纹越少,声发射也越集中.物理元胞自动机理论为岩石的破坏研究提供了一种新的研究思路.     

关于应用残数定理证明代数恒等式问题的探讨

函数在孤立奇点的残数,函数在无穷远点的残数.利用残数及残数定理可以证明高等代数中的一些恒等式,同时导出拉格朗日插值公式.     

Secondary immunization inhibits drug induced apoptosis<Emphasis Type="Italic">in vivo</Emphasis>

Immunization with a proper dose of an antigenic stimulus leads to cell proliferation and antibody response of circulating lymphocytes. We have previously observed that Secondary immunized spleenocytes resist ceramide-mediated apoptosisin vitro. Our present study is aimed at investigating thein vivo effect of immunization on apoptosis. Mice were subjected to either Primary or Secondary dose with Tetanus Toxoid. Unimmunized spleenocytes served as controls. Unimmunized, Primary and Secondary immunized mice were later exposed to chemotherapeutic drugs such as Etoposide/Methotrexate/Vincristine to induce apoptosis. Apoptosis was studied by using the Feulgen reaction on 5μ thin parafin sections of spleen. It was observed that Secondary immunized mice showed a lower percentage of apoptosis as compared to Primary or Unimmunized mice that was subjected to either of the chemotherapeutic drugs. It was thus concluded that Secondary immunization inhibits the process of chemotherapeutic drug induced apoptosis in vivo.     

Explanations of attitudes to change: Colombian mathematics teachers’ conceptions of the crucial determinants of their teaching practices of beginning algebra

This article arises from a study whose overall purpose was to investigate the relationship between Colombian mathematics teachers’ conceptions of beginning algebra and their conceptions of their own teaching practices. The teachers’ understandings of their teaching practices were explored with a view to unravelling their conceptions of change in their teaching. Focusing on the perspectives of teachers afforded opportunities that exposed the powerful role that the teachers’ conceptions of social/institutional factors of teaching played in their conceptions of their practices. The degree to which the teachers attributed these (external) factors as crucial reasons for what they do in their teaching was the basis of a categorisation of their conceptions of the crucial determinants of their teaching practices into three types. The findings are particularly relevant to our understanding of the stability of mathematics teaching approaches in the Colombian context but have likely implications for a range of international education contexts. Specific implications for the development of the research into teachers’ conceptions of mathematics and its teaching, and for teacher education programmes are presented.

φ-自由n-李代数的分解

给出φ-自由n-李代数的2个分解定理,得到φ-自由n-李代数的分解式,并说明了此结果对一般的n-李代数并不成立.     

Laurent多项式环的导子李代数的一个直和的模的导子

记DerA为Laurent多项式环A的导子李代数,本文讨论直和A＋DerA到其Larsson模F^n（Vλ,b））的导子。