The Discrete Subgroups and Jфrgensen’s Inequality for SL(m,Cp)

In this paper, we give discreteness criteria of subgroups of the special linear group on Qp or Cp in two and higher dimensions. J rgensen's inequality gives a necessary condition for a nonelementary group of Mbius transformations to be discrete. We give a version of Jфrgensen's inequality for SL(m, Cp).     

Copula的局部变结构点诊断的实证研究

基于Copula函数对相关性研究的特有优势,构建了二元正态Copula模型,提出了在时变相关系数的基础上对局部变结构点的诊断方法.以上证煤炭指数及有色金属指数作为实证样本,研究了煤炭指数和有色金属的相关性发生显著变化的时刻,并分析其变化原因.本文的研究结果能更敏锐地捕捉金融市场的动向和指导风险投资.     

基于过模波导的高功率微波准相干功率合成器

研究了一种用于功率合成的GW级高功率微波功率合成器。该合成器工作在X波段,输入微波由2路工作频率不同的X波段的微波源产生。为了满足输出功率和功率容量的要求,用于功率合成的微波源工作段波导的过模因子为12.7,这给功率合成器的设计带来了一定的困难。着重讨论了如何利用过模波导设计X波段高功率合成器,研究了如何抑制过模波导的高次模式并提高其功率容量和传输效率。设计的功率合成器单路传输效率达到99.0%以上,允许的最大输出功率达到5.6 GW以上,还可以按照需求适当增大高度,以进一步提高其功率容量而不影响传输效率。     

Beam-based calibrations of the BPM offset at C-ADS Injector Ⅱ

Beam-based BPM offset calibration was carried out for Injector II at the C-ADS demonstration facility at the Institute of Modern Physics(IMP), Chinese Academy of Science(CAS). By using the steering coils integrated in the quadrupoles, the beam orbit can be effectively adjusted and BPM positions recorded at the Medium Energy Beam Transport of the Injector II Linac. The studies were done with a 2 m A, 2.1 Me V proton beam in pulsed mode.During the studies, the "null comparison method" was applied for the calibration. This method is less sensitive to errors compared with the traditional transmission matrix method. In addition, the quadrupole magnet's center can also be calibrated with this method.     

单层SbAs和BiSb的表面修饰调控

基于密度泛函理论的第一性原理计算,研究了V族二维层状材料SbAs和BiSb在全氢化和全氟化后体系的晶体结构、稳定性和电子结构.计算结果表明,全氢化后SbAs和BiSb由buckled结构转变为准平面结构,而全氟化后则转变为low-buckled结构.同时,本征、全氢化和全氟化的SbAs和BiSb均具有很好的稳定性,具备实验合成的可能性.电子结构的分析表明,全氢化和全氟化后SbAs和BiSb均由宽带隙半导体转变为窄带隙的直隙半导体,且其能带结构仍具有很好的线性色散.通过对准平面和low-buckled结构SbAs和BiSb电子结构的进一步分析,揭示了全氢化和全氟化后体系能带变化的原因.在h-BN衬底上的计算结果显示,由于两者间的弱耦合作用,使得全氢化和全氟化SbAs的直隙半导体特征得以保留,表明其在未来光电子设备等领域中具有广泛的应用前景.     

Dunkl’s theory and best approximation by entire functions of exponential type in L 2-metric with power weight

In this paper, we study the sharp Jackson inequality for the best approximation of f ∈L2,κ(Rd) by a subspace E2κ(σ)(SE2κ(σ)), which is a subspace of entire functions of exponential type(spherical exponential type) at most σ. Here L2,κ(Rd) denotes the space of all d-variate functions f endowed with the L2-norm with the weight v2κ(x) =ξ∈R, which is defined by a positive+|(ξ, x)|κ(ξ)subsystem R+ of a finite root system RRdand a function κ(ξ) : R → R+ invariant under the reflection group G(R) generated by R. In the case G(R) = Zd2, we get some exact results. Moreover,the deviation of best approximation by the subspace E2κ(σ)(SE2κ(σ)) of some class of the smooth functions in the space L2,κ(Rd) is obtained.     

Randomly weighted sums of subexponential random variables with application to capital allocation

We are interested in the tail behavior of the randomly weighted sum \( \sum _{i=1}^{n}\theta _{i}X_{i}\) , in which the primary random variables X ₁, …, X _n are real valued, independent and subexponentially distributed, while the random weights ?? ₁, …, ?? _n are nonnegative and arbitrarily dependent, but independent of X ₁, …, X _n . For various important cases, we prove that the tail probability of \(\sum _{i=1}^{n}\theta _{i}X_{i}\) is asymptotically equivalent to the sum of the tail probabilities of ?? ₁ X ₁, …, ?? _n X _n , which complies with the principle of a single big jump. An application to capital allocation is proposed.     

<Emphasis Type="Italic">Cis</Emphasis>/<Emphasis Type="Italic">trans</Emphasis> Fluorescent Recognition by Naphthalimide Dyes ⊂ CB [7] Assembly

A novel method to recognize cis/trans isomers was studied here. The naphthalimide dye as guest could bind with host cucurbit [7]uril (CB [7]) and 1:1 naphthalimide dye ? CB [7] assembly was formed. Moreover, this assembly was used as a fluorescent probe to recognized Fumaric acid (FA) and maleic acid (MA) via fluorescence titration. Two carboxyls in MA are in the same side, they could form stable interaction with the assembly and the fluorescence intensity decreased obviously when naphthalimide dye ? CB [7] was titrated by MA (nearly quenched in 1.5 equiv). But two carboxyls in FA are in opposite sides, the interaction between FA and the assembly was weak and not stable, and the fluorescence intensity changed inconspicuously when the assembly was titrated by FA.