THE ANNEALING FEATURES OF Ta/Si MULTILAYER FILMS

The Ta/Si multilayers on (100) Si substrate have been studied over the annealing temper-ature range from 500 to 900℃ by X-ray diffraction and cross-section transmission electron microscopy. The periodicity of the multilayers becomes worse with increasing annealing tem-perature and disappears at 750℃. At 600℃, two kinds of modulation wavelength coexist because the size of several TaSi₂ grains is larger than the contracted original modulation wavelength. The films are contracted after annealing. The largest contraction, at least 40nm decreasing in thickness, occurs at 600℃. When the annealing temperature is lower than 600℃, h-TaSi₂ grains grow randomly and the growth is not affected by the substrate. At temperatures higher than 750℃, h-TaSi₂ grows preferentially in [001] direction parallel to [100] axis of Si substrate. The appearance of texture depends on whether the atomic diffusion is short range or long range at the corresponding annealing temperature.     

高Jc Tl系2223相银包套带材的磁通钉扎和耗散

测量了Ｔｌ系２２２３相银包套超导带（Ｊ_c＝１．５×１０^４Ａ·ｃｍ^-2，７７Ｋ，０Ｔ）在０－０．８Ｔ磁场下电阻转变展宽，实验结果引用热激活磁通蠕动模型加以解释。磁场平行于带面（Ｈ∥ａｂ面）和磁场垂直于带面（Ｈ⊥ａｂ面）两种情况下，激活能与磁场之间满足幂指数关系：Ｕ_0∥＝０．２１ H^-0.3(eV),Ｕ_0⊥＝０．１5 H^-0.4(eV)，其中Ｈ的单位为ｋＧ。 关键词：     

稀土元素荧光增强效应的研究─RE对Eu－苯甲酰三氟丙酮－溴化十六烷基三甲基铵体系的荧光增强

本文详细研究了稀土元素Ｌａ３＋、Ｇｄ３＋、Ｔｂ３＋、Ｌｕ３＋、Ｙ３＋及Ｓｃ３＋对铕苯甲酰二氟丙酮（ＢＴＡ）－阳离子表面活性剂体系的荧光增强效应。结果表明，在上述增强离子的分别存在下，体系的荧光强度分别增加１７、７５、６５、５、５５和１８倍，铕浓度在１．０×１０－１０－８．０×１０－７ｍｏｌ／Ｌ范围内与荧光强度成线性关系，最低检出限为１．０×１０－１１ｍｏｌ／Ｌ利用标准加入法测定了混合稀土氧化物中的铕，结果满意。     

推广AS-GN混合共轭梯度算法

本文提出了一种求解无约束优化问题的新算法,使Touati-Ahmed, Storey提出的混合共轭梯度法(以下简称AS)和Gilbert, Nocedal提出的混合共轭梯度法(以下简称GN)成为新算法在精确线性搜索下的特例.通过构造新的$\beta_{k}$计算公式,新算法自然满足下降性条件,且这个性质与线性搜索和目标函数的凸性均无关.在一般的条件下,我们证明了新算法的全局收敛性.数值结果表明该算法对测试函数是有效的.     

一般Lurie系统的鲁棒绝对稳定新准则(英文)

本文讨论了具多非线性模不确定的一般Lurie系统的鲁棒问题.用Lyapunov函数方法,得到了一些新的鲁棒绝对稳定代数准则,这些准则减少了现有的结果的保守性.     

无穷远处Ⅲ型均布荷载与集中荷载作用下应变加强层连接唇形裂纹的解析解

通过对保角映射及解析延拓的应用,获得了无穷远处Ⅲ型均布荷载和集中荷载作用下,连接在唇形裂纹面上的内埋应变加强层的级数形式应力解析解．分析了材料匹配、界面连接及几何特征对界面应力的影响,研究发现对于不同的荷载形式,合理的材料匹配、连接及几何特征能够有效地减少应力集中和界面应力．     

E-凸条件下多目标规划的Mond-Weir型对偶研究

本文主要研究E-凸函数的若干性质,引入E-凸多目标规划的定义,建立E-凸多目标规划的Mond-Weir型对偶问题,并在E.凸条件假设下,证明E-凸多目标规划的弱对偶性、直接对偶性及逆对偶性.     

随机不等式的若干确定型等价类之比较

本文研究了处理随机不等式的若干确定型转化形式.在讨论已有方法(如均值法和机会约束法)的基础上,我们提出了一种反映决策者满意度的随机变量的序数关系,并据此得到一种新的随机不等式转化为确定型不等式的满意度方法.同以往方法比较,满意度方法对处理随机不等式同时具备简洁性和科学性.将该方法应用于求解随机约束优化问题说明了它的优势.     

关于对数和指数的几个不等式

研究了关于对数和指数的两个函数:gα(x)=((ln(1+x))/x)~α及h_β(x)=((e~x-1)/x)~β.得到当x0时,g_α(x)+h_β(x)2及g_α(x)h_β(x)1这两个不等式成立的充分必要条件.     

Analysis of the dynamics of a delayed HIV pathogenesis model

In this paper, considering full Logistic proliferation of CD4⁺ T cells, we study an HIV pathogenesis model with antiretroviral therapy and HIV replication time. We first analyze the existence and stability of the equilibrium, and then investigate the effect of the time delay on the stability of the infected steady state. Sufficient conditions are given to ensure that the infected steady state is asymptotically stable for all delay. Furthermore, we apply the Nyquist criterion to estimate the length of delay for which stability continues to hold, and investigate the existence of Hopf bifurcation by using a delay τ as a bifurcation parameter. Finally, numerical simulations are presented to illustrate the main results.