投影寻踪分类建模理论的新探索与实证研究

从理论上分析了正确的投影向量系数(权重)约束条件是∑_(j=1)~2a_j~2=1和1≥0_j≥-1;从理论和实证两个视角证实采用约束条件∑_(j=1)~p a_j~2=1和1≥a_j≥0时逆向指标或对正向指标采用了错误的归一化方式时的权重必定等于"0"。采用正确的约束条件,针对同一密度窗宽R值,实证分析发现和从理论上证明了在投影寻踪分类(PPC)建模中改变指标归一化方式前后,权重是互为相反数的重要特性等三个定理和二个推理,改变指标归一化方式不影响任意两样本投影值之间的距离和投影指标函数值。提出了正确使用PPC进行建模的基本原则和步骤、判定指标属性(正向指标或者逆向指标)的准则等,实现了投影寻踪探索性研究和验证性分析的有机统一。     

一个捕捉与再捕捉模型的贝叶斯分析

本文在无信息先验和Jeffreys先验下 ,就捕捉与再捕捉试验和多次重复的捕捉与再捕捉试验两种情况 ,推导了封闭总体中个体总数N的贝叶斯点估计与区间估计 ,并计算了一个实例     

基于Bootstrap的厚尾相依序列持久性变点检验

基于修正方差比率函数给出一种检验厚尾序列持久性变点的统计量.在无变点的假设下得到了统计量的渐近分布.为避免检验渐近分布中的厚尾指数,构造Bootstrap抽样方法来确定渐近分布的经验临界值.数值模拟研究结果说明修正方差比率统计量及Bootstrap抽样方法的有效性.     

大孔径静态干涉成像光谱仪的信噪比分析

根据大孔径静态干涉成像光谱仪的原理和特点,分析了光辐射能在光学系统内的传输情况,对探测器上接收到的光辐射能信号和噪音信号做了详细的推导,得到了仪器理论信噪比的表达式.在实验上以大口径积分球为辐射源,采集仪器输出的干涉图像,计算得到仪器的实际信噪比曲线,对大孔径静态干涉成像光谱仪的理论信噪比曲线与实际的信噪比曲线做分析比较,结果验证了用推导的论信噪比的表达式来预估仪器信噪比的可行性.     

大范围光纤Bragg光栅压力传感器增敏实验研究

鉴于钛合金材料具有低弹性模量、受温度影响小等特性,设计制作了一种以钛合金管作为光纤Bragg光栅应变增敏衬底元件的高压压力传感器件.通过与电阻应变计实时监控的对比,从实验上研究了光纤Bragg光栅的中心波长偏移对调谐压强的响应.结果表明:这种增敏设计,具有良好的线性响应和可重复性,且与理论推导结果吻合较好.增敏后对压力的响应灵敏度可达0.034 nm/MPa,测压量程可达0~40 MPa,甚至更宽.     

蛋白质荧光标记中协同效应的高效液相色谱

以牛血清白蛋白和胰岛素为研究对象, 经1,5-I-AEDANS衍生后, 采用高效液相色谱(HPLC)进行分离分析, 发现两者的衍生存在明显的协同作用.     

高温下正十五烷的拉曼光谱研究

文章在金刚石压腔下研究了正十五烷从室温到350℃的拉曼光谱特征.结果表明:随着温度的升高,体系压力也在不断增大;CH3,CH2对称和反对称伸缩振动同时受到温度和压力的影响,但2种作用相反.由于压力效应大于温度效应,随温度压力的增大CH3,CH2对称和反对称伸缩振动的拉曼位移均向高频方向移动,说明C-H键键能在增大.另外,由于新物质的生成导致过强荧光产生而无法测出正十五烷的拉曼光谱,而且过强荧光出现的时间早晚与温度和压力有一定的关系.     

Prediction of the Frontier Electronic States in a Finite Single-wall Carbon Nanotube

A theoretical model is summarized into the shorter vector principle. It is used to predict the topological structure of wave function and the oscillation rule of energy gap in various types of finite carbon nanotubes (CNTs). The theoretical model indicates that the characteristics of the electronic states only depend on the nanotube size and its symmetry along the shorter vector direction. In this direction, the wave functions of the original 3m (or 3m/2) periodicity are also suitable for armchair, chiral and zigzag finite CNTs with the C2 (Cs), C1 and Cn point groups, respectively. Energy gaps present the oscillation with 3m (or 3m/2) or odd-even n. The first principle calculations for some prototype systems are performed. The results are consistent with the theoretical model.     

Generating monoenergetic proton beam by using circularly polarlzed laser

The interaction of ultrashort intense circularly polarized laser with ultra thin overdense foil is studied by particle-in-cell simulation and analytic model.It is found that with the balance between pondermotive force and electrostatic force,highly quasi-monoenergetic proton beam can be generated by Phase Stable Acceleration(PSA)process.As in conventional accelerators,ion will be accelerated and bunched up in the longitudinal direction at the same time.     

Microwave Magnetic Properties and Natural Resonance of e-Co Nanoparticles

Owing to the novel crystal structure, ε-Co nanoparticles with an average diameter of 12 nm are synthesized and the microwave magnetic properties of the epoxy resin composite with 50voi% ε-Co particles are measured in the frequency range 0.1-7 GHz. The experimental resonance frequency （4.7 GHz） matches well with the values obtained by the theoretical calculation with the Kittel equation and fitting the experimental permeability dispersion curve via the Landan-Lifshitz equation. Hence the resonance peak is attributed to natural resonance mode. This work is believed to be beneficial for further understanding microwave applications of the novel ε-Co nanoparticles.