THE ACTION OF THE LINEAR CHARACTER GROUP ON THE SET OF NON-LINEAR IRREDUCIBLE CHARACTERS THE ACTION OF THE LINEAR CHARACTER GROUP ON THE SET OF NON-LINEAR IRREDUCIBLE CHARACTERS

1. Notations and Basic ResultsLet G be a finite nonabelian group. Then frs(G/G') is an abelian group under themultiplication of characters and acts on the set of non-linear irreducible characters of G viathe multiplication of characters. The purpose of this paper is to investigate this action. Asan application of our theoryl in the end of Section 3 we give the classification of groupshaving exactly three non-linear irreducible caracters.All groups in the paper are finite. For a factor grou…     

污染数据回归分析中参数的最小一乘估计

考虑简单回归模型：ｙｉ＝ｘ′ｉβ＋ｅｉ,ｉ＝１,…,ｎ。其中Ｅｅｉ＝０,Ｅｅ＾２ｉ＝σ＾２１。假设ｙ１,ｙ２,…,ｙｎ受到另一独立同分布随机变量序列μ１,μ,…,μｎ的污染,我们仅能观察到污染数据ｙ＾＊ｉ＝（１－ν）ｙｉ,ν为未知的污染参数。本文用污染数据给出了β的最小一乘估计,并证明了它的渐近正态性和相合性。     

对称迭层矩形板的平面应力分析

常用的对称迭层板为各向异性板．根据平面应力问题的基本方程精确地用应力函数解法求得了各向异性板的一般解析解．推导出平面内应力和位移的一般公式,其中积分常数由边界条件来决定．一般解包括三角函数和双曲函数组成的解,它能满足4个边为任意边界条件的问题．还有代数多项式解,它能满足4个角的边界条件．因此一般解可用以求解任意边界条件下的平面应力问题．以4边承受均匀法向和切向载荷以及非均匀法向载荷的对称迭层方板为例,进行了计算和分析．     

Localization of s-Wave and Quantum Effective Potential of a Quasi-free Particle with Position-Dependent Mass

The properties of the 8-wave for a quasl-free partide with position-dependent mass （PDM） have been discussed in details. Differed from the system with constant mass in which the localization of the s-wave for the free quantum particle around the origin only occurs in two dimensions, the quasi-free particle with PDM can experience attractive forces in D dimensions except D = 1 when its mass function satisfies some conditions. The effective mass of a particle varying with its position can induce effective interaction, which may be attractive in some cases. The analytical expressions of the eigenfunctions and the corresponding probability densities for the 8-waves of the two- and three-dimensional systems with a special PDM are given, and the existences of localization around the origin for these systems are shown.     

对光滑粒子流体动力学模型π源的视像分析

∈利用光滑粒子流体动力学模型,研究了NN=200 GeV Au+Au碰撞产生的介子发射源的视像结果。 碰撞后的演化图显示, 系统在演化过程中呈现出明显的非均匀性颗粒集团分布。 这种发射源所得到的视像分析结果表明, 即使在相同的碰撞参数下, 不同事件的相对发射源函数也会存在差异。 这种差异在大碰撞参数下表现得尤为明显。 We investigate the imaging of pion emitting source produced in NN=200 GeV Au+Au collisions with NeXSPheRIO model. The pictures of the system evolution show that there is obvious inhomogeneous structure of granular lumps. The results of imaging analysis indicate that the relative source functions for the various events of the granular sources are different even though the events are with the same impact parameter. This difference is more evident for the events with large impact parameter.     

用推广的等效两体方法求解类氦离子三体问题

介绍了求解三体问题的等效两体方法,将等效两体方法推广到原子系统,利用该方法求解类氦离子的基态,与一般的单参数变分法相比得到了与实验值符合得更好的结果,进而利用双参数变分法对所得结果进行了检验。 结果表明,等效两体方法同样适用于求解原子系统中的三体问题。 An extended equivalent two body method for three body systems is introduced in this article. The method is applied to an atomic three body system. Energies and wave functions of a helium like ion are calculated,which are consistent with the experimental data much better,in contrast to the results obtained by a one parameter calculus of variations approach. Then we use a two parameter calculus of variations approach to verify the precision of the ground state energy and wave function obtained by the extended equivalent two body method. These results indicated that the extended equivalent two body method is applicable to an atomic three body problem.     

矩阵Hadamard积和Fan积的特征值界的一些新估计式

本文研究了非奇异M-矩阵A与B的Fan积的最小特征值下界和非负矩阵A与B的Hadamard积 的谱半径上界的估计问题.利用Brauer定理,得到了一些只依赖于矩阵的元素且易于计算的新估计式,改进 了文献[4]现有的一些结果.     

大花红景天多糖RCPS分离纯化及单糖组成分析

采用水提醇沉方法提取大花红景天粗多糖RCP(rhodiola crenulata polysaccharide),并通过乙醇分级沉淀,Sevag法脱除蛋白,葡聚糖凝胶柱色谱纯化等手段,得到一种多糖RCPS。采用苯酚-硫酸法测定了总糖含量,UV和IR等方法考察了多糖性质,凝胶渗透色谱-示差检测法测定多糖的纯度及分子量范围及分布,GC法鉴定单糖组成及其摩尔比值。结果表明,多糖RCPS为淡黄色粉末状物质,易溶于水,总糖含量为99.11%。紫外光谱分析显示,在195 nm 波长处有明显吸收峰,在260和280 nm等处无吸收峰,说明被测物为多糖,且不含核酸及蛋白质;红外吸收光谱分析表明,在3 424.83,2 934.10,1 742.11,1 438.96,1 261.40, 1 103.54,832.86 cm-1处均有明显的多糖特征吸收,主要由鼠李糖,阿拉伯糖,木糖,甘露糖,葡萄糖,半乳糖和半乳糖醛酸组成,其摩尔比值为1∶2.96∶0.21∶0.26∶0.08∶0.58∶0.15。     

有孔探针近场拉曼光谱和成像技术进展

基于有孔探针SNOM的近场拉曼光谱和成像技术的出现使得拉曼光谱的分辨率突破了光学衍射极限,从而提供了一个有力的工具对样品亚波长尺度之下的化学信息进行表征。文章讨论了探针性质对实现近场拉曼光谱的影响,并全面地介绍了有孔探针近场拉曼光谱发展十余年来在纳米尺度化学分辨成像、液-液界面性质研究、微观层面解释SERS增强机理、图像化反映SERS热点分布等诸多领域的研究进展。     

肿瘤临床诊断的红外光谱新方法

报道了作者近年来利用红外光谱法检测肿瘤组织的阶段性研究进展。在比较研究了不同红外光谱方法的基础上,发现衰减全反射红外光谱法的检测结果与病理检验结果符合很好。该方法可直接测量冰冻和手术切除的新鲜离体肿瘤组织,测试简便,符合快速诊断的要求。另外,作者将中红外光纤和衰减全反射光谱测量方法相结合,实现了手术过程中原位、在体和实时检测肿瘤组织。累计研究了包括腮腺、颌下腺、食道、胃、肠、肝、胆囊、肾、乳腺、肺、甲状腺等十几种肿瘤和相应的正常组织。与病理诊断结果进行对照,红外光谱法诊断符合率在90％以上,表明该方法的普适性和准确性。