借助函数图像解不等式恒成立问题

“不等式恒成立,求参数的取值范围”是不等式中的一大题型,不等式有千姿百态,因此常令同学们不知如何着手解决,当不等式经过变形后,不等式两边的函数图像易画出时,可借助图像来求解.     

具有常余维数不动点集的可换对合

设（Z2）k广作用于光滑闭流形Mn，其不动点集具有常维数n-r，J是具有上述性质的未定向的n维上协边类[Mn]构成的集合.本文通过构造上协边环MO*的一组生成元决定了J的群结构     

LiYF_4:Pr~(3+)能级晶场分裂链的计算

本文首次在稀土离子晶场光谱拟合中引进了唐敖庆等人的张量算符方法,从而获得了激光和上转换材料LiYF_4:Pr~(3+[2])对应于晶场群链(R_3T_dD_(2d)S_4)的能级分裂链,逐级晶场参量值和逐级近似波函数。这就为分析其有关空间电荷分布构形,讨论其光谱强度和其它光学、磁学、热力学性质等提供了逐级近似的依据。     

ON THE FINITE DISPLACEMENT PROBLEM OF A HOLLOW CYLINDER UNDER INTERNAL AND EXTERNAL PRESSURES

Using the method of successive approximations we find of this boundary-value problem the first-and second-order solutions. And then we obtain the formulae in the second approximation for the displacement, strain, and stress fields. Also, our results show that after deformation (ⅰ) a cross-section of the cylinder must be displaced into a plane section perpendicular to the central axis of the cylinder; and (ⅱ) neither the sum of the strain components E_(RR)~(2) and E_(φφ)~(2) nor the sum of the stress components ∑_(RR)~(2) and ∑_(φφ)~(2) maintains contant throughout the Cylinder. The latter effect, which is absent from classical elasticity, bears respensibility for the presence of the ∑_(ZZ)~(2). Moreover, there exhibits a linear relation between ∑_(ZZ)~(2) and (∑_(RR)~(2)+∑_(φφ)~(2)). with the proportionality coefficients depending only on the material of the cylinder.     

关于研发机构非显著工艺创新的最优许可研究

研发机构创新成功后,应该重视知识资产的主动管理,在专利许可谈判中科学合理地确定专利许可策略,以追求收益最大化.本文的目的是进一步完善与具体化Kamien,Tauman与Oren(1992)的模型,深入研究研发机构在不同许可机制下对在位厂商的非显著创新许可收益,以及最优许可策略选择.主要结论是:给定厂商数量,当创新规模较小时,研发机构的最优策略为提成许可,其次是不限许可数量的F(F)许可与一级价格密封投标拍卖许可;当创新规模较大时,研发机构的最优策略为拍卖许可,提成许可次之,最后是不限许可数量的F(F)许可.     

大数猜想与暗物质

讨论恒星质量、核子质量、暗物质粒子质量和普朗克质量四者间通过大数A～10¹⁹联系在一起,而且强相互作用与引力间也唯象地通过大数A似乎有着某种深层的联系.     

光纤声传感器的实验研究

采用Y型光纤传感探头结构设计了反射式光纤声传感器.该传感器利用反射式强度调制方式实现声音对光的外调制,在完成声光转换的同时可对音频信号进行滤波处理.根据薄膜振动理论分析了弹性膜片的固有频率和基频.对光纤声传感器系统的测试结果表明,输入电流超过40 mA后,发光管的发光功率与输入电流呈良好的线性关系.     

Synthesis, MSssbauer Spectra and Magnetic Properties of Quasi-One-Dimensional Fe3O4 Nanowires

Quasi-one-dimensional Fe3O4 nanowires in diameter of about 200nm were assembled into anodic aluminium oxide templates via electrodepositing and heat-treating processes. The nanowires have a polycrystalline spinel structure with α=8.317А, and each nanowire is composed of fine Fe3O4 crystallites with size of about 30nm.