自然数幂和通项公式证明的新方法

针对自然数幂和问题,利用多项式和矩阵理论,得到了一种计算自然数幂和通项公式的方法,给出了该方法的具体推导过程．此方法的优点是将自然数幂和问题转换为了线性方程组求解问题,更浅显易懂．     

上楼问题的数学模型及推广

上楼问题是一个经典名题,在我国中学数学教材和教参中它作为递推数列模型出现,同时出现在中学数学习题、考题和数学竞赛题中。对一般上楼问题作深入讨论后,用高等数学的方法找到了上楼问题的通项公式,并“用高于下”建立了中学数学模型,丰富了高中数学新课程资源。     

阵列的随机指标部分和的弱大数定律

在较一般的条件下研究了加权阵列的随机指标部分和1/(bn) sum from i=1 to Nn ani(Xni-E(XniI(|Xni|≤bn)|Fn,i-1))的弱大数定律,其中{Xni,i≥1,n≥1}为随机变量阵列,{Nn,n≥1}是正整数值的随机变量,{bn,n≥1}是正的常数.     

一线式温度传感器(DS1820)序列号的三步法与识别

介绍了DS1820序列号每一位判别的三步法,即求bitm,判断并选择;以此为基础,通过与二叉树及其遍历作比较,确定了序列号识别的存储格式及其定义,最终找到了识别N个DS1820序列号的方法--"前序识别法",并给出程序框图及汇编实现.     

Teaching Undergraduate Mathematics on the Internet

This is Part 2 of a two-part study of how APOS theory may be used to provide cognitive explanations of how students and mathematicians might think about the concept of infinity. We discuss infinite processes, describe how the mental mechanisms of interiorization and encapsulation can be used to conceive of an infinite process as a completed totality, explain the relationship between infinite processes and the objects that may result from them, and apply our analyses to certain mathematical issues related to infinity.     

汉英基数词的比较研究

基数词是英汉两种语言中出现频率较高的一类词,英汉两种语言中的基数词各有自己的一些特点。英汉两种语言基数词的系数、位数、级数组合既有相同点,又有相异点。汉语是"五位进级制",英语是"四位进级制"。     

从李白诗歌看唐诗中数字的模糊性及其翻译

唐诗中的模糊数字翻译一直是译者面对的难题。以诗人李白的名作作为主要研究对象,通过分析唐诗中模糊数字的妙用和不同译本的对比,归纳总结得出,译者应视模糊数字的具体情况采用具体的翻译策略。     

多重调和级数的几个同余式

通过研究∑l1＋l2＋…＋ln=p σln/l1…ln-1lkn,σ∈{-1,1}的同余式,当k=2,3时,对任意的正整数n和素数p〉n＋k-1,得到了∑l1＋l2＋…＋ln=p 1/l1l2…lkn关于模p的同余式.对任意的素数p≥7,证明了∑l1＋l2＋l3＋l4=p （-1）l1/l1l2l3l4关于模的同余式.     

武器装备预研项目立项影响因素及灰色决策分析

构建包括技术成熟度等级、技术需求牵引性、能力保障、经费风险等四个方面的武器装备预研项目立项评价指标体系.根据武器装备预研项目的特点,考虑到实际项目选择过程中部分决策信息的不足,提出基于区间灰数TOPSIS改进算法.该算法运用区间灰数表达指标权重和指标评价值,定义备择项目与正负理想解的灰色关联度,依次计算各备择项目的贴近度并实现最终排序.仿真实例验证了该方法的合理性和有效性.     

Governing teachers’ work and learning through data: Australian insights

This article reveals the multiple ways in which data are constituted as a vehicle for governing teachers’ work and learning. Drawing on the concept of governance, including in relation to the sociology of numbers, and data from one school in Queensland, Australia, the research reveals how teachers’ work and learning were constituted through practices of: establishing specific ‘targets’, including various ‘audacious goals’ for school and national testing; focusing upon ‘aligning’ all forms of school, regional and national data collected within the school; and participating in various ‘data conversations’ about specific students with senior members of staff. While the research reveals how teachers found such practices beneficial for improving their practice with students, it also shows how this learning was always and everywhere framed within a broader discourse of data, and how this data-centric focus came to constitute what was valued about their work and learning, and that of their students.