基于非期望效用函数的投资决策研究

本文用数值分析的方法分析了在非期望效用函数下的投资决策问题.文章在模型和均衡分析的基础上指出,政府开支的增加,提高了代理人的风险投资,而政府税收的提高减少了风险投资.在数值分析中详细地分析了跨时替代弹性和相对风险厌恶系数彼此独立变化时,风险投资的变化情况,比较了风险投资受税收和风险的影响在非期望效用函数和期望效用函数下的差异,指出了期望效用函数对风险投资分析具有不确切性.     

Banach空间中广义混合平衡问题,变分不等式问题和不动点问题的混杂投影方法

在Banach空间中,一个新的混杂投影迭代程序被引入来逼近广义混合平衡问题解集,变分不等式问题解集和一个相对弱非扩张映射的不动点集的公共元．所得结果改进和推广了最近一些文献的相应结果．     

Generation of minimally persistent circle formation for a multi-agent system

In this paper, two methods of generating minimally persistent circle formation are presented. The proposed methods adopt a leader-follower strategy and all followers are firstly motivated to move into the leader＇s interaction range. Based on the information about relative angle and relative distance, two numbering schemes are proposed to generate minimally persistent circle formation. Distributed control laws are also designed to maintain the desired relative distance between agents. The distinctive features of the proposed methods are as follows. First, only 2n - 3 unilateral communication links for n agents are needed during the circle formation process and thus the communication complexity can be reduced. In addition, the formation topology is kept fixed for the whole motion and achieves a self-stability property. Finally, each follower keeps a regualr interval with its neighbors and the formation converges to a uniform circle formation. Simulation results are also provided to demonstrate the effectiveness of the proposed methods.     

脆性颗粒材料的应变率效应机理研究

利用分离式Hopkinson压杆（SHPB）,对干燥石英砂进行了被动围压下的动态压缩实验,发现石英砂表现出了明显应变率效应。通过激光粒度分析测量了动静态压缩后的试件的级配曲线,发现同一应力水平下准静态压缩比动态压缩后的试件的颗粒破碎量更大。而通过拟合相对破碎率与外力功之间的关系,发现准静态压缩在颗粒破碎方面能量利用率更高也即破碎效率更高,而这正是脆性颗粒材料应变率效应的本质原因。     

THE NONLINEAR MAGNETOELASTIC PROPERTIES OF 〈 110 〉 ORIENTED TBo.27DYo.73FE1.95 POLYCRYSTALLINE ALLOYS UNDER COUPLED MAGNETOMECHANICAL LOADING

In the paper, the nonlinear magnetoelastic properties of composition Tb0.27Dy0.73 Fel.95 〈 110 〉 oriented polycrystalline alloys are investigated under coupled loads of high mag- netic field and compressive stress. The magnetization and magnetostriction are measured simul- taneously under applied magnetic field from -800 to 800 kA/m and compressive stress from 0 to 25 MPa at room temperature. The strain coefficient and relative permeability are obtained by differential calculation from the experimental curves. The results show that the values of satura- tion magnetization （M~） under different compressive stresses remain invariably constant in the region of the high magnetic field. The saturation magnetostriction （As） increases with increasing compressive stress and reaches 1680 ~ 10-6 under 25 MPa. According to the increase of the com- pressive stress, the hysteretic loop area of magnetization and magnetostriction increases, while the maximum relative permeability and strain coefficient decrease. Additionally, the influence of the bias magnetic field on the mechanical property is taken into account. The stress-strain relation- ship is nonlinear and sensitive to the applied external magnetic fields along the axis of rod. The results obtained are a useful complement to the existing experiments for theoretical approaches and engineering applications.     

三值噪声调制下电路中的随机共振现象

研究了在三值噪声和热噪声扰动下的RLC电路的平均输出幅度增益. 利用随机平均法和Shapiro-Loginov公式, 得到了平均输出幅度增益的精确表达式. 通过计算机模拟, 画出了平均输出幅度增益与平坦系数、有噪声和无噪声时, 输出信号振幅与输入信号频率之间的关系曲线. 从结果来看, 系统产生了双值噪声驱动的RLC电路中(文献[11])没有的随机共振现象, 甚至还出现了双共振峰.     

Entanglement fidelity of channel adaptive quantum codes

We study the performances of quantum channel adaptive [4,1] code transmitting in a joint amplitude damping and dephasing channel, the [6,2] code transmitting in an amplitude damping channel by combining the encoding, noise process, and decoding as one effective channel. We explicitly obtain the entanglement fidelities. The recovery operators of the [6,2] code are given. The performance is nearly optimal compared with that of the optimal method of semidefinite programming.     

相对化学位移值：获得CH基团中氢原子精确化学位移值的一种简单方法

为了解决CH基团中氢原子的精确化学位移值的问题,引入相对化学位移值概念．内标法和外标法用于测量全浓度范围的N-甲基乙酰胺水溶液．对于同一个分子来说,选择分子内某个基团的氢原子化学位移作为一个标准值,得到的其它基团氢原子相对化学位移值随温度和浓度的变化是和测试方法无关的。     

速度合成定理几何证明中一直存在的概念错误

指出理论力学教材用几何法证明速度合成定理时存在的错误,从概念和几何两方面给予分析．提出了合理的位移分解图．     

塑料SHPB实验中的端面摩擦效应

基于H.Meng的动摩擦实验结果,建立了一个端面动摩擦模型,以描述端面动摩擦因数随SHPB 塑料试样与钢压杆接触界面间最大径向相对滑动速度的关系。在SHPB实验的数值模拟中,分别考虑了该 端面动摩擦模型和以往被广泛采用的常摩擦因数模型,结果发现,选取不同的端面摩擦模型不影响通过塑料 SHPB实验的数值模拟获得的转折应变率(量级为102s-1),然而当应变率超出转折应变率以上时,不同的端 面摩擦模型会对塑料SHPB实验的数值模拟结果产生显著影响,使用提出的端面动摩擦模型可得到更准确 的塑料SHPB实验的数值模拟结果。