张量对称类上诱导线性算子的数值半径

设V是一个n维线性空间,V_x~m(G)为V上的张量对称类.A为V的线性算子T的矩阵,K(A)为V_x~m(G)上的诱导线性算子K(T)的矩阵.本文从K(A)的数值半径Υ(K(A))和可分数值半径Υ_x(K(A))定义出发,研究了Υ(K(A))、Υ_x(K(A))与范数||A||_p(1≤p≤2)、广义矩阵函数d_x~G(A)的关系,得到了它们之间的两个不等式.     

Lüroth误差和函数的若干性质

本文研究了Lüroth展式的误差和函数.利用误差和函数的Perron-Frobenius算子,得到其积分值.最后,考察并获得其介值性定理,从而得出其图形是一个分形.     

培养学生创造个性的策略实践与研究

“教学”的基本含义是“教学生会学” .要使学生会学的必要条件是培养学生学数学的兴趣、会思维 .其核心是会发现问题、会用知识去解决问题 ,而这一切的关键是如何培养学生的创造性个性 .以下是我在初中数学教学中的一些体会 .策略之一 :引导学生头脑风暴 ,培养其开放性开放性表现为对新事物比较敏感 ,不保守 ,不墨守成规 ,有一种探新精神 .头脑风暴也称集体思维法 .实施办法是 ,教学中可根据教学需要 ,对某个问题组织小组探讨 ,通过相互启发、激励 ,让创造性设想发生连锁反应 ,产生共振 ,形成更多的创造性设想 .一般地 ,设想出的方案越多 ,…     

数学串诗一首

忧愁是可微的，快乐是可积的，在趋向于正无穷的日子里，幸福是连续的，对你祝福可导且大于零，祝你生命里快乐和幸福的复合函数总是最大值!     

关于Banach空间中凸泛函的广义次梯度不等式

本文在前人^[1,2]的基础之上，以凸泛函的次梯度不等式为工具，将Jensen不等式推广到Banach空间中的凸泛函，导出了Banach空间中的Bochner积分型的广义Jensen不等式，给出其在Banach空间概率论中某些应用，从而推广了文献[3—6]的工作．     

中微子物理若干前沿问题

 在过去的几年间,大量的实验结果已经表明中微子有非零质量以及轻子味混合。这一进展为我们打开了一个全新的值得探索的基本粒子世界。关于中微子我们已经知道了多少,我们想要发现什么?本文将从理论与唯象的观点进行阐述。目前中微子物理的前沿问题主要包括:中微子真的发生味转化吗?有几代中微子?存在惰性中微子吗?中微子的质量是多少?中微子是马约拉纳粒子还是狄拉克粒子?轻子味混合矩阵的混合角有多大?轻子味混合矩阵包含CP破坏位相吗?如果包含,那么在中微子振荡和无中微子双β衰变中,这些位相会导致可探测的CP破坏效应吗?     

横向射流式单重态氧发生器的性能实验研究

 对氧碘化学激光器的单重态氧发生器（SOG）进行了改进，采用横向射流方式，并对该横向射流式单重态氧发生器的性能进行了检测。实验中过氧化氢碱溶液温度控制在－16℃左右,氯气流量为530mmol/s，He与氯气的流量比为3;采用PS法测量单重态氧分子的产率,吸收法测量氯气的利用率和相对水含量。得出如下结论:在不使用冷阱和分离器的情况下，最高单重态氧分子产率达到58%, 氯气利用率在80%以上,相对水含量小于等于0.5;气体达到最大流量时,发生器仍然能稳定地工作。     

Novel Chiral Ferrocenyl Aziridino Alcohol Catalysts Promoting Asymmetric Addition of Diethylzinc to Aldehydes

Optically active aziridino alcohols containing ferrocenyl groups were prepared from commercially available L-threonine in excellent yields and used as catalysts to promote the asymmetric addition of diethylzinc to aryaldehydes to afford 1-arylpropanol in up to 84% enantiomeric excesses with moderate to good yields.     

Studies on the Adsorption of Asymmetrical Triblock Copolymers by Scheutjens-Fleer Theory and Monte Carlo Simulation

The adsorption of asymmetrical triblock copolymers from a non-selective solvent on solid surface has been studied by using Scheutjens-Fleer mean-field theory and Monte Carlo simulation method on lattice model. The main aim of this paper is to provide detailed computer simulation data, taking A8-kB20Ak as a key example, to study the influence of the structure of copolymer on adsorption behavior and make a comparison between MC and SF results. The simulated results show that the size distribution of various configurations and density-profile are dependent on molecular structure and adsorption energy. The molecular structure will lead to diversity of adsorption behavior. This discrepancy between different structures would be enlarged for the surface coverage and adsorption amount with increasing of the adsorption energy. The surface coverage and the adsorption amount as well as the bound fraction will become larger as symmetry of the molecular structure becomes gradually worse. The adsorption layer becomes thicker with increasing of symmetry of the molecule when adsorption energy is smaller but it becomes thinner when adsorption energy is higher. It is shown that SF theory can reproduce the adsorption behavior of asymmetrical triblock copolymers. However, systematic discrepancy between the theory and simulation still exists.The approximations inherited in the mean-filed theory such as random mixing and the allowance of direct back folding may be responsible for those deviations.