Brauer第24问题的推广

本文对Ｂｒａｕｅｒ第２４问题［１］作了推广．利用Ｄａｄｅ关于循环块的理论得到如下结果：设Ｇ是有限群，Ｐ是Ｇ的循环Ｓｙｌｏｗｐ子群．设｜Ｐ｜＝ｐａ，ａ为正整数．令Ｐｉ为Ｐ中唯一的ｐｉ阶子群，１ｉａ．则｜Ｃｌ（Ｇ）｜＝｜Ｃｌ（ＮＧ（Ｐｉ））｜的充分必要条件为ＰｉＧ．     

Study on the formation of H2O2 on TiO2 photocatalysts and their activity for the photocatalytic degradation of X-GL dye

Titanium dioxide (TiO₂) nanoparticles of both anatase and rutile phases were synthesized by hydrothermal treatment of microemulsions, and their photocatalytic activity for the degradation of X-GL dye was investigated. The only difference between the two methods used was that different acids were added to the microemulsions to make a direct comparison of the photocatalytic activity of the polymorphs possible. UV — Vis reflectance and XRD spectroscopic investigations of these titanium dioxides indicated that a rutile structure could be formed (PR) when hydrochloric acid was used, and anatase formed (PA) when nitric acid was used. The activity of the two polymorphs and P-25 for the photocatalytic degradation of dye in water was also examined. It was found that P-25 consisting of anatase and rutile has the highest activity, and PR consisting of rutile has the lowest. Photodegradation of X-GL in the presence of these different TiO₂ particles under air-equilibrated controlled conditions led to the formation of hydrogen peroxide. The formation rate of H₂O₂ depended on the difference in crystalloid phase. These results indicate that the observed differences in the photocatalytic activity for the three TiO₂ photocatalysts are directly related to the formation rate of H₂O₂.     

还原氮化温度对氮化铌纳米管组成、结构与电化学性能影响研究

以铌箔为基底,用阳极氧化法结合氨气还原氮化法制备出氮化铌纳米管,利用X射线衍射仪(XRD)、X射线光电子能谱(XPS)和扫描电镜(SEM)等结构表征手段和循环伏安法(CV)、充放电(GCD)和交流阻抗法(EIS)等电化学测试手段研究了还原氮化温度对纳米管的物相、形貌以及电化学性能的影响.结果表明,还原氮化后出现了氮化铌物相,以氧氮化铌固溶体形式存在,当还原氮化温度为700℃时,氮化铌纳米管阵列结构均匀,纳米管的孔内径约为35 nm,管壁厚度约为12 nm,纳米管长度约为1.5μm,样品中内在阻抗和电荷转移电阻较小,在电流密度为0.1 mA/cm2时,其比电容为400μF/cm2.     

纳米氧化镱对熔融石英析晶动力学机制的影响

本文研究引入纳米氧化镱对熔融石英析晶机制及动力学过程的影响.通过X射线衍射仪(XRD)测试结果分析了纳米氧化镱的引入对熔融石英陶瓷析晶率的影响,采用动力学方法分析了纳米氧化镱的引入对熔融石英陶瓷析晶机制的影响,同时探讨了其等温析晶动力学过程.研究表明,熔融石英陶瓷的晶粒向二维兼有一维及三维的方式生长,引入纳米氧化镱的熔...     

Estimation of the Multivariate Normal Precision Matrix under the Entropy Loss

Let X ₁, , X _n (n > p) be a random sample from multivariate normal distribution N _p (, ), where R ^p and is a positive definite matrix, both and being unknown. We consider the problem of estimating the precision matrix ^–1. In this paper it is shown that for the entropy loss, the best lower-triangular affine equivariant minimax estimator of ^–1 is inadmissible and an improved estimator is explicitly constructed. Note that our improved estimator is obtained from the class of lower-triangular scale equivariant estimators.     

完全区组设计下基于Aligned秩的有方向检验问题

本文基于Aligned秩给出了用于解完全区组设计有方向检验问题的, 我们称之为$C$-检验的检验方法. 本文分别对每个试验单元仅有一个观测值以及等重复观测值和不等重复观测值各种情形下的$C$检验进行了讨论, 并在原假设$H_0$成立时计算了上述各种情形下$C$检验统计量的数学期望和方差, 且证明了$C$检验统计量的渐近分布为正态分布.     

Studies on the mechanisms of powerful terahertz radiations from laser plasmas

A survey on the mechanisms of powerful terahertz (THz) radiation from laser plasmas is presented.Firstly,an analytical model is described,showing that a transverse net current formed in a plasma can be converted into THz radiations at the plasma oscillation frequency.This theory is applied to explain THz generation in a gas driven by two-color laser pulses.It is also applied to THz generation in a tenuous plasma driven by a chirped laser pulse,a few-cycle laser pulse,a DC/AC bias electric field.These are well verified by particle-in-cell simulations,demonstrating that THz radiations produced in these approaches are nearly single-cycles and linear polarized.In the chirped laser scheme and the few-cycle laser scheme,THz radiations with the peak field strength of tens of MV/cm and the peak power of gigawatt can be achieved with the incident laser intensity less than 10 17 W/cm 2.     

Nonexistence results for classes of 3 × 3 elliptic systems

We consider the system

     

一种单元谐波平衡法

基于有限元离散,对于工程中的非线性响应问题,提出一种单元谐波平衡法．与常规的谐波平衡法不同,本文将谐波平衡方程建立在有限元素上,从而兼顾了有限元素法和常规谐波平衡法两大优势．有限元技术的应用能使得求解问题的范围扩大到复杂工程结构,而谐波平衡概念的使用将使得含有复杂变形和复杂本构关系的动力学响应问题得到有效解决．所提方法能适用于工程结构中具有复杂非线性关系的动力学响应问题．由于谐波平衡法的实施依赖于谐波系数方程及其切线刚度矩阵的解析推导,尽管已经局限到有限元素上,但对于较为复杂一些的本构关系,推导仍非易事．为解决这些问题,放弃通常对于变形梯度和应变张量所作的向量假设,而是从连续介质力学中基本的几何关系入手,提出一种矩阵分解形式．通过利用张量的内蕴导数定义以及关于迹函数的有关性质,给出应力增量的一种新的表现形式．当它与变形梯度的矩阵分解相结合时,使得切线刚度矩阵的导出变得十分简单,而且所得计算形式也比通常紧凑和方便许多．