椭圆和抛物方程解的水平集的微观凸性

偏微分方程解的水平集是一个重要研究对象,与偏微分方程解的存在性、唯一性和正则性紧密相关.本文介绍椭圆和抛物方程解的水平集的微观凸性原理.     

数字BPM时钟锁相电路的设计与实现

为实现数字BPM时钟系统的锁相,设计了一种基于锁相环同步原理的低抖动、低相位噪声的时钟同步系统。根据锁相环电路工作原理,对数字BPM时钟同步系统的硬件及固件程序进行了设计,实现了外部输入时钟信号与系统内部产生的主工作时钟信号的锁相,并且时钟信号输出的频率及相位均可调整以满足后端ADC采样的要求。测试结果表明,设计可以完成对一定频率范围内变化的外部输入时钟信号的锁相,输出时钟信号抖动满足束流实验要求,为数字BPM后续算法研究提供了基础。     

BEPCⅡ束流损失探测系统及其初步应用

束流寿命是衡量储存环性能的重要参数, 它直接影响到储存环能否正常运行. 采用束流损失探测系统通过探测束流损失的地点, 可以为分析束损原因、优化机器参数和提高束流寿命提供依据. 介绍了北京正负电子对撞机重大改造工程(BEPCⅡ)束流损失探测系统的基本情况: 前端束流损失探测器输出的脉冲信号送到下位机进行处理, 通过CAN总线将所有的下位机连接到位于本地站的前端PC机, 此PC机再通过以太网与中控室的PC机或工作站进行数据通讯, 最终实现对束流损失的实时监测、数据存储, 并能对历史数据进行处理, 达到实时显示全环束损分布的目的. 文章最后还简要介绍了整个系统在BEPCⅡ调束过程中的初步应用.     

模糊选择函数的合理性及拟传递合理性的刻画

首先给出模糊选择函数合理性的一个充分必要条件。然后将普通情况下Schw artz所提出的收缩扩张公理模糊化,在选择集为正规模糊集的前提下,研究了模糊选择函数拟传递合理性的刻画问题。我们指出,该模糊化后的条件仍是选择函数拟传递合理的必要条件,但已不再是拟传递合理的充分条件(我们用例子说明了这一点)。因此,在文章的最后,给出了比较强的一个充分条件。     

时均流激声发动机声场特性实验研究

时均流激声发动机利用流体诱导声振荡效应把自然界的风和管道气体的动能转化为声场能,可驱动热声制冷机制冷或驱动发电机和换能器发电,为风能利用提供了新思路。在国内首次搭建了正十字型时均流激声发动机实验台,以一台高压风机提供的气流模拟自然风,获得了稳定的驻波声场。在此基础上,揭示了时均流速、平均压力、斯特劳哈尔数等对时均流诱导声振荡的影响。在平均压力为106.19 kPa、时均流速为50.52 m/s、谐振管长度为0.96 m的条件下,该正十字型时均流激声发动机谐振管内的压力振幅达6.20 kPa,约为平均压力的5.80%,为时均流激声发动机驱动发电装置和热声制冷研究奠定了实验基础。     

Synthesis,Crystal Structure and DNA-Binding Property of a Mn(Ⅱ) Complex Based on 5-(Tri-fluoromethyl)pyridine-2-carboxylic Acid

A new complex Mn(Htpc)_2(H_2O)_2(1, Htpc = 5-(trifluoromethyl)pyridine-2-carboxylic acid) has been synthesized and characterized by elemental analysis, IR, TG and single-crystal X-ray diffraction. 1 belongs to triclinic system, space group P■ with a = 5.0885(10), b = 6.5574(13), c = 14.016(3) ?, β = 90.67(3)o, V = 436.34(17) ?~3, Z = 1, D_c = 1.793 g·cm~(-3), μ = 0.855 mm~(-1), Mr = 471.18, F(000) = 235, the final R = 0.0454 and wR = 0.1134 for 1998 observed reflections with I 2σ(I). The Mn(Ⅱ) ion is coordinated by two N and two O atoms from two Htpc as well as two O atoms from two coordinated water molecules, forming a 0D motif with distorted octahedral coordinate geometry. The adjacent 0D units are linked into 1D chains through hydrogen bond O(1W)–H(1 WB)···O(2), and via the O(1 W)–H(1 WA)···O(1) hydrogen bond the neighboring 1D chains are connected into a 2D supramolecular layer. Moreover, the interactions between the ligand and its complex with CT-DNA were studied by EtBr fluorescence probe, which suggested that these compounds bind to CT-DNA through an intercalation mode. The binding constants were 0.41 and 0.64 for Htpc and complex 1, respectively. It indicates that the interaction between complex 1 and CT-DNA is stronger than Htpc.     

Error Analysis of the Density-Matrix Renormalization Group Algorithm for a Chain of Harmonic Oscillators

We investigate the application of the density-matrix renormalization group （DMRG） algorithm to a one-dimensional harmonic oscillator chain and compare the results with exact solutions, aiming at improving the algorithm＇s ef- ficiency. It is demonstrated that the algorithm can show quite accurate results if the procedure is properly organized; for example, by using the optimized bases. The errors of calculated ground state energy and the energy gap between the ground state and the first excited state are analyzed, and they are found to be critically dependent upon the size of the system or the energy level structure of the studied system and the number of states targeted during the DMRG procedure.     

基于BEPCⅡ数据的数字束流位置测量器算法离线分析

介绍了数字BPM算法的原理和架构,并基于高能物理研究所自制的数字BPM硬件平台获取了BEPC Ⅱ束流流强为600 mA条件下的ADC采样数据。然后在MATLAB环境中设计了NCO模块、CIC滤波器、FIR滤波器以及BEPC Ⅱ束流逐圈位置数据计算模块,并给出了各模块的具体设计参数。最后通过实际ADC数据对各算法模块进行检验,给出了各模块处理后的频域分析结果,并得到了实际束流下水平方向和垂直方向上的逐圈位置分辨率分别为4.55 μm和4.28 μm,为FPGA在线算法的实现与优化提供了可靠的理论依据。     

强平稳\rho-混合序列的精确渐近性

研究了强平稳\rho-混合序列部分和S_{n}=X_{1}+X_{2}+...+X_{n}的精确渐近性:即当\varepsilon\searrow 0时,概率级数\sum\limits_{n=1}^{\infty}\varphi(n)P(|S_{n}|\geq \varepsilon H(n))的极限行为和收敛速度,并揭示了函数\varphi(n)$与$H(n)之间的关系.