关于广义Euler多项式和分式的讨论

This note establishes a pair of exponential generating functions for generalized Eulerian polynomials and Eulerian fractions, respectively. A kind of recurrence relation is obtained for the Eulerian fractions. Finally, a short proof of a certain summation formula is given.     

Parametric estimation of discretely sampled Gamma-OU processes

The stationary Gamma-OU processes are recommended to be the volatility of the financial assets. A parametric estimation for the Gamma-OU processes based on the discrete observations is considered in this paper. The estimator of an intensity parameter A and its convergence result are given, and the simulations show that the estimation is quite accurate. Assuming that the parameter A is estimated, the maximum likelihood estimation of shape parameter c and scale parameter a, whose likelihood function is not explicitly computable, is considered. By means of the Gaver-Stehfest algorithm, we construct an explicit sequence of approximations to the likelihood function and show that it converges the true (but unkown) one. Maximizing the sequence results in an estimator that converges to the true maximum likelihood estimator and the approximation shares the asymptotic properties of the true maximum likelihood estimator. Some simulation experiments reveal that this method is still quite accurate in most of rational situations for the background of volatility.     

Development of a China test cryomodule for ILC

Research and development of a 1.3 GHz 9-cell cavity test cryomodule were carried out by a collaboration group between IHEP (Institute of High Energy Physics) and TIPC (Technical Institute of Physics and Chemistry) in China. The cryomodule is a "test model" for the ILC cryomodule, and a key component of a superconducting accelerator test unit which will be built in the near future, also can be used as a horizontal test facility for 1.3~GHz 9-cell cavities. This paper presents the development status of the cryomodule, including structure design, cryogenic flow diagram, thermal and mechanical simulations, heat load estimation and etc.     

ICP-AES测定氟化稀土中铝

采用高氯酸、盐酸分解样品,草酸将稀土沉淀分离,用ICP-AES快速测定氟化稀土中的铝,加标回收率达98%—102%,相对标准偏差＆lt;2.0%,此方法分析简单快速、结果准确可靠。     

区组长为奇素数的自反MD设计 (英)

本文利用差方法对自反MD设计SCMD$(4mp, p,1)$的存在性给出了构造性证明, 这里$p$为奇素数, $m$为正整数.     

正定自伴算子分数幂的泛函不等式

本文研究了super-Poincaré不等式在变换下的稳定性.利用自伴算子的谱分解性质,证明了当正定自伴算子L满足super-Poincaré不等式时,L的分数幂Lα也满足相应的super-Poincaré不等式,并讨论了相应半群的几种超有界性之间的关系.     

半平面上零级Dirichlet级数的增长性

本文研究半平面上的零级Dirichlet级数的增长性,定义了半平面上的零级Dirichlet级数的指数级和指数下级,通过用零级Dirichlet级数的系数,得到了其与系数之间的关系.     

创新研究型物理实验教学平台的建设与实践

实验教学中心在面向全校物理、材料科学、地空科学及生命科学类高年级本科生开设创新研究型实验课程中,创建了创新研究型物理实验教学平台,使学生自主设计课题,制定研究方案,选择相应的平台对该课题进行系统研究.通过三学年的建设与教学实践,表明该平台的建立不仅增强了学生实验动手机会,而且提高了学生自主分析问题、解决问题的能力,激发了学生的主观能动性、主动创造思维,培养了学生的创新能力.同时也促进了教师知识的更新和教学水平的提高.     

曲率波前传感器探测高斯光束时的信号误差

曲率波前传感器已被用于天文自适应光学和光学度量等领域。在这些领域使用时都假设入射波前光强均匀,但这种假设与曲率传感技术的基本原理不一致。利用傅里叶光学理论,给出了光强不均匀情况下曲率波前传感器的曲率信号解析式,并利用光强均匀和不均匀情况下的信号表达式对探测高斯光束时的信号误差进行了数值分析。结果表明：曲率波前传感器探测高斯光束时存在一定误差,相位分布为4阶Zernike多项式时,误差最大,且阶数越高,误差越小;分区平均曲率信号误差较小,一般在10％以下。     

法拉第旋转镜用于补偿单光子偏振漂移的实验研究

研究了法拉第旋转镜用于补偿单模光纤中1 550 nm单光子传输的偏振漂移特性.比较了不同平均光子数下经由不同长度单模光纤传输后单光子偏振漂移的差异,以及使用法拉第旋转镜的偏振漂移抑制比.实验结果表明,在50 km光纤50 kcps光子计数（光强）下偏振漂移改善最优,偏振漂移抑制比达25.3.