Iterative convergence theorems for maximal monotone operators and relatively nonexpansive mappings

In this paper, some iterative schemes for approximating the common element of the set of zero points of maximal monotone operators and the set of fixed points of relatively nonexpansive mappings in a real uniformly smooth and uniformly convex Banach space are proposed. Some strong convergence theorems are obtained, to extend the previous work.     

具时滞的Hopfield网络周期解的指数稳定性

The paper is devoted to periodic attractor of delayed Hopfield neural networks with time-varying.By constructing Lyapunov functionals and using inequality techniques,some new sufficient criteria are obtained to guarantee the existence and global exponential stability of periodic attractor.Our results improve and extend some existing ones in[13～14].One example is also worked out to demonstrate the advantages of our results.     

A review of progress on nano-aperture VCSEL

This paper reviews the progress on nano-aperture vertical-cavity surface-emitting lasers （VCSELs）. The design, fabrication, and polarization control of nano-aperture VCSELs are reviewed. With the nanoaperture evolving from conventional circular and square aperture to unique C-shaped, H-shaped, I-shaped, and bowtie-shaped aperture, both the near-field intensity and near-field beam confinement from nanoaperture VCSELs are significantly improved. As a high-intensity compact light source with sub-100- nm spot size, nano-aperture VCSELs are promising to realize many new near-field optical systems and applications.     

基于“ETA物理认知模型”建构《静电场》大单元教学设计——大学物理教学成果对中学物理教学的启迪

本文以“ETA物理认知模型”为导引，以高中物理“静电场”单元为例，重点阐述教学设计的几个要点，包括教材次序的重构，教学素材的优化，教学过程的逻辑显化，科学方法显化，课程思政的明示和暗示。由此概括出物理教学的“四美”：导入艺术之美、逻辑简约之美、方法力量之美、人文情怀之美。     

完全区组设计下基于Aligned秩的有方向检验问题

本文基于Aligned秩给出了用于解完全区组设计有方向检验问题的, 我们称之为$C$-检验的检验方法. 本文分别对每个试验单元仅有一个观测值以及等重复观测值和不等重复观测值各种情形下的$C$检验进行了讨论, 并在原假设$H_0$成立时计算了上述各种情形下$C$检验统计量的数学期望和方差, 且证明了$C$检验统计量的渐近分布为正态分布.     

捕捉一闪而逝的灵感 拓展一片思维的天空

闭合电路的欧姆定律这一节,笔者是这样设计教学计划的.首先推出定律,然后通过分析例1(人教版<选修3-1>第62页)对定律进行熟悉和巩固,最后讨论路端电压和负载的关系.     

我国人口时间序列的变系数预测模型

根据1952-2005年我国人口总量和GDP总量数据,建立变系数模型.采用逐步回归的方法来选择显著滞后变量子集,推导出系数函数的样条估计表达式,最后运用Bootstrap思想,进行点预测和区间预测。运算结果表明:对于该组数据,变系数模型能较理想地描述数据之间的内在结构,且具有较少的预测误差.     

创造性优化教材 提高探究物理规律的有效性——对比同一教学内容不同教学设计方案有感

新课程改革为每个教师提供了足够的空间,使教师成为教材的生产者和主人,杜威认为:"所谓教材,就是在一个有目的的情境的发展过程中所观察的、回忆的、阅读的和谈论的种种事实,以及所提出的种种观念."