加权均值T-统计量推广

本文将[1]提出的一维异方差正态总体均值的加权T-统计量估计推广到多维异方差正态总体均值的估计,并应用于其假设检验。     

HIRFL-CSRm内靶实验终端CsI(Tl)电磁量能器性能模拟

基于GEANT4模拟了HIRFL CSRm内靶实验终端的CsI(Tl)电磁量能器系统,给出了CsI电磁量能器的最佳设计参数及可能达到的性能.结果表明,设计的CsI(Tl)电磁量能器系统能够满足所研究的物理要求. Based on the GEANT4, the performance of the electromagnetic calorimeter (EMC) of the internal-target detector at HIRFL-CSRm is simulated. The simulation results show that 1.5%—3% of the energy resolution σ_E/E and 2° of the polar angular resolution σ_θ can be obtained. The invariant mass of the π~0 decay can be reconstructed well. The performance can meet the requirement of studying the proposed physics at HIRFL-CSRm.     

A new type of Lie symmetrical non-Noether conserved quantity for nonholonomic systems

For a nonholonomic system, a new type of Lie symmetrical non-Noether conserved quantity is given under general infinitesimal transformations of groups in which time is variable. On the basis of the invariance theory of differential equations of motion under infinitesimal transformations for t and q_s, we construct the Lie symmetrical determining equations, the constrained restriction equations and the additional restriction equations of the system. And a new type of Lie symmetrical non-Noether conserved quantity is directly obtained from the Lie symmetry of the system, which only depends on the variables t, q_s and \dot{q}_s. A series of deductions are inferred for a holonomic nonconservative system, Lagrangian system and other dynamical systems in the case of vanishing of time variation. An example is given to illustrate the application of the results.     

稀水溶液中聚乙烯吡咯烷酮构象行为的荧光研究

以苊烯(ACE)为荧光标记物,8-苯胺基-萘磺酸(ANS)为荧光探针,利用荧光各向异性、荧光猝灭以及非辐射能量转移等静态荧光技术研究了聚乙烯吡咯烷酮(PVP)在稀水溶液中的构象行为.结果表明,PVP在稀水溶液中呈松散自由线团构象,这种构象不随溶液pH的变化而显著变化.不同于其它水溶性高分子,PVP有很强的氢键形成能力,易与具有活泼氢的其它高分子或小分子相结合,并易被金属氧化物类吸附剂吸附.因此PVP可被用来修饰某些具有疏水结构的水溶性高分子.PVP水溶液在pH=7以上相当稳定,放置1周性质没有显著变化.     

变质量非Четаев型非完整系统在相空间的Lie对称性与守恒量

在相空间引入无限小群变换,研究变质量非Четаев型非完整系统的Lie对称和守恒量.利用系统运动微分方程在无限小群变换下的不变性建立Lie对称的确定方程和限制方程,得到Lie对称的结构方程和守恒量,并举例说明结果的应用.     

Existence and linear stability of planar waves in the Oregonator model

In this paper,various waves in the Oregonator model are investigated in detail.The existence of planar waves(in particular,spiral waves)is rigorously proven and their linear stability is analysed.In addition,some non-planar waves in the model are also presented.     

Study of the Lie symmetries of a relativistic variable mass system

The differential equations of motion of a relativistic variable mass system are given.By using the invariance of the differential equations under the infinitesimal transformations of groups,the determining equations and the restriction equations of the Lie symmetries of a relativistic variable mass system are built,and the structure equation and the conserved quantity of the Lie symmetries are obtained.Then the inverse problem of the Lie symmetries is studied.The corresponding Lie symmetries are found according to a known conserved quantity.An example is given to illustrate the application of the result.     

D型截面托卡马克的快波功率沉积

对D型截面托卡马克用平板模型求出等离子体中的场量及微分场量的分布,由此对入射波进行波束划分,并给出每一波束的初始条件.用射线轨迹方法计算并叠加每一波束功率沉积,得到快波功率沉积的计算结果.     

高频地波雷达宽波束海洋回波空间谱估计的MVM算法

论述了将最小方差法应用于高频无线电海洋探测中的一些处理方法和结果。在数值模拟的基础上,探讨了该方法提取海态参数的能力,对实测数据进行了处理和分析,将结果分别同由美国CODAR公司生产的SeaSonde雷达探测结果以及海洋监测船的现场测量结果进行了对比。验证了回波信噪比随方位角的分布同雷达天线阵有效视角的对应关系。     

逐步判别有关结论及其证明

本文给出了在建立逐步判别函数估计式时检验附加信息统计量的计算公式 ,并证明了在检验所引入或剔除变量的判别能力和显著性的有关结论 .