环形域上的Dirichlet问题

讨论了Laplace方程在环形域上的Dirichlet问题的求解方法,给出了该问题的求解过程和Fourier级数解的结果,并指出了Poisson积分公式在具体求解中的不适应性,对于理解S-L方程在不同边界条件下,特别是自然边界条件和周期边界条件下的本征值问题具有重要意义.     

Global dimension of weak smash product

INTRODUCTION In (Auslander, 1995), the author established the relationship of homological dimension between skew group algebra ΛG and Λ. Recall from Corollary 4.7 and Corollary 4.10 in (Auslander, 1995) that gl.dim(ΛG)=gl.dim(Λ) where ΛG is a skew group algebra with the order of G invertible in Λ. Recently, more and more mathematicians have studied homological dimension for Hopf algebra. Yang (2002) gave the relationship of homological dimension between smash product algebra A#H…     

新时代高校辅导员工作理念转变的三个维度

中国特色社会主义进入新时代为高校思想政治工作带来了新的起点,面对党和国家对思想政治工作的新要求,面对大学生成长发展的新期待,高校辅导员要从三个维度转变工作理念:从灌输走向对话,努力做大学生政治思想的积极引导者;从管理走向服务,努力做大学生成长成才的科学指导者;从经验走向研究,努力做大学生思想政治教育的潜心研究者。     

One hundred and fifty years of sprint and distance running – Past trends and future prospects

Sprint and distance running have experienced remarkable performance improvements over the past century. Attempts to forecast running performances share an almost similarly long history but have relied so far on relatively short data series. Here, we compile a comprehensive set of season-best performances for eight Olympically contested running events. With this data set, we conduct (1) an exponential time series analysis and (2) a power-law experience curve analysis to quantify the rate of past performance improvements and to forecast future performances until the year 2100. We find that the sprint and distance running performances of women and men improve exponentially with time and converge at yearly rates of 4% ± 3% and 2% ± 2%, respectively, towards their asymptotic limits. Running performances can also be modelled with the experience curve approach, yielding learning rates of 3% ± 1% and 6% ± 2% for the women's and men's events, respectively. Long-term trends suggest that: (1) women will continue to run 10–20% slower than men, (2) 9.50 s over 100 m dash may only be broken at the end of this century and (3) several middle- and long-distance records may be broken within the next two to three decades. The prospects of witnessing a sub-2 hour marathon before 2100 remain inconclusive. Our results should be interpreted cautiously as forecasting human behaviour is intrinsically uncertain. The future season-best sprint and distance running performances will continue to scatter around the trends identified here and may yield unexpected improvements of standing world records.     

Fibonacci数列与对角形行列式

通过对Fibonacci数列与对角形行列式的研究,得到了它们之间的密切关系。     

混联式滑车的构造及技术特点分析

深入分析了“顺穿法”和“花穿法”绕制的单行并联式滑车组在起重工作时的受力性能，通过对滑车组的偏心距和倾斜角计算，证明偏心距及倾斜角较大时对滑车组的工作和使用寿命存在很不利的影响。详细分析了混联式滑车的构造和受力性能，并对其起重时的偏心及倾斜角进行了计算，计算结果表明该新型滑车组在构造和技术上具有明显的优越性。混联式滑车于1996年获得国家发明专利。     

用幻方引进向量空间—德国数学建模实例

用幻方作为一种具体的向量模型，直观引入向量空间的基本概念，反过来又用高观点指导幻方结构的研究。     

高校声誉管理的价值网络层次维度分析

现代大学的竞争更多的是通过社会公众认知的声誉竞争，良好的声誉管理成为现代大学在高等教育大众化和市场化发展中增强竞争力的重要保障。本文基于价值网络的视角分析了高校声誉管理中的三个层次和维度，并提出加强声誉管理的相应对策与建议。     

正项随机级数的收敛性

运用Minkowski不等式和其他不等式,研究了正项随机级数的敛散性,给出了正项随机级数收敛的两个定理,并推广了相关结果.     

教育乱收费：怎一个“钱”字了得

教育乱收费是发生在近年我国教育界的一大顽症。这一顽症的成因主要是教育资源不均衡、优质名校稀缺、政府投入不足以及监管制度的缺失。而整治教育乱收费必须采取拉网式行动——健全监管机制、制止公办教育产业化、发展民办教育、确保政府教育投入。