关于多边形共点线的几个猜想的研究

文[1]给出了凸多边形中对角线和主对角线的定义．（编者按：为了规范名称，作为三角形和梯形相关概念的推广，我们称多边形顶点与对这中点连线为中线，两边中点连线为中位线，分布在其两侧顶点数相同的，再加个“主”字．）并提出如下猜想：1．若凸2n＋1边形的2n条主中线都平分其面积，则第2n＋1条亦然，且2n＋1条主中线共点O且被O分成等比的两段．2．若凸Zn边形n条主中位线均平分其面积，则它们共点O且均被O平分．3．若凸Zn边形n条主对角线均平分其面积，则它们共点．本文将证明上述猜想，并给出有关的结果．对文中所涉及的序号遍历性问…     

Performances of RETGEM with resistive electrodes made of kapton foils

THGEM with resistive Kapton electrodes (RETGEM) has been developed to make the THGEM more tolerant to discharges. At higher gains with resistive electrodes, serious discharges may travel to the streamer mode, in contrast to violent sparks in conventional GEMs. These streamers are mild and less dangerous to the detector and the front-end electronics. RETGEM looks very promising, and its basic properties are being studied. Recently we developed and tested the THGEM with electrodes using 20 um thick resistive kapton foils. The new RETGEM performs at a lower discharge current, has a lower discharge probability, and has a good energy resolution of 27% and a high effective gas gain and long-term stability.     

黏性应力对空化核初生的影响

分析了考虑黏性应力时气核的受力状态,导出了相应的静力平衡方程。通过用MATLAB软件计算不同初始尺寸的气核在黏性应力作用下的形状尺寸,发现气核体积比与长短轴与其初始尺寸和黏性应力基本呈正比例线性关系。依据湍动分裂理论分析得出湍流扰动将会引起气核重复分裂,从而增加较大尺寸气核的数量,影响空化初生的结论。     

Neutron collimator design of neutron radiography based on the BNCT facility

For the research of CCD neutron radiography,a neutron collimator was designed based on the exit of thermal neutron of the Boron Neutron Capture Therapy(BNCT)reactor.Based on the Geant4 simulations,the preliminary choice of the size of the collimator was determined.The materials were selected according to the literature data.Then,a collimator was constructed and tested on site.The results of experiment and simulation show that the thermal neutron flux at the end of the neutron collimator is greater than 1.0×106n/cm2/s,the maximum collimation ratio(L/D)is 58,the Cd-ratio(Mn)is 160 and the diameter of collimator end is 10 cm.This neutron collimator is considered to be applicable for neutron radiography.     

基于小型化原子磁力计的零场NMR波谱仪搭建与测试

常规高场NMR波谱仪依托超导技术,其体积大、维护成本高,且存在样本磁化率不均匀导致的谱线展宽现象,零场或近零场NMR技术则可实现有效互补．本文自主搭建了一套基于小型原子磁力计的可移动零场NMR波谱仪,采用以多功能采集卡(National Instruments PCIe-6353)为核心的集成控制系统,仪器主磁场强度小于1 nT,可实现高分辨率的J-耦合谱采集．为实现对自旋体系的有效操控,利用样品绝热初态的单脉冲激发实现对三轴脉冲线圈的精确标定．在此基础上,使用改进的组合脉冲序列实现了在¹³C-¹H异核体系下的单自旋选择性操控,验证了零场NMR波谱仪的有效性．     

不同氢化度氢化丁腈橡胶的结构表征与分子模拟

通过核磁共振波谱(¹H NMR)、 红外光谱(IR)及热分析等方法研究了不同氢化度氢化丁腈橡胶(HNBR)分子结构之间的差异, 结果表明, 在丁腈橡胶(NBR)加氢过程中, 聚丁二烯上的乙烯基加氢速率最快, 其次是反式1,4结构, 顺式1,4结构的加氢速率最慢, 而腈基基本不发生氢化反应. 采用核磁共振谱法对不同氢化度HNBR中不同链段的含量进行定量分析, 依据此结果建模并进行分子模拟计算, 得到不同氢化丁腈橡胶的密度、 内聚能密度(CED)和玻璃化转变温度(T_g)等参数, 模拟值与实验结果吻合. 实验结果表明, 随着氢化度的增加, HNBR的热氧化稳定性逐渐增加, 这主要是由于氢化度增加后分子链中双键含量逐渐减少而CED增加的缘故. 分子模拟可以有效地计算出多种结构参数, 为共聚橡胶材料的制备与加工提供基础数据及理论指导.     

Heat transport in coupled inhomogeneous chains

We first investigate the heat transport in a network model consisting of two coupled dimerized chains. Results indicate that the thermal resistance of each chain increases with the decrease of the mass ratio γ of the two types of atoms. Then, we find, when a light impurity or a heavy one is added in the two coupled homogeneous chains and coupled with a particle of another chain, the interface thermal resistances R_int^l and R_int^r present different dependences on the mass ratio γ'. Finally, a persistent circulation of energy current is observed in coupled inhomogeneous chains with two pairs of interchain coupling.     

基于原子磁力计的穿戴式脑磁图动态测量研究

脑磁图作为一种无创的脑功能成像技术,依靠超高的时间及空间溯源分辨率,在脑科学研究和临床应用领域中有着极其重要的价值．本文介绍了自主搭建的基于原子磁力计的穿戴式脑磁图系统,通过设计匀场补偿线圈组并结合参考传感器阵列,实现被试头部运动区域内剩磁在±1nT以内,保证动态测量过程中传感器输出维持在动态范围以内;同时提出了一种虚拟合成梯度去噪方法,显著抑制了环境共模噪声;最终在被试者头部自然运动状态下,成功检测到高信噪比的α节律信号与听觉诱发磁场信号,证实了该系统的有效性,为穿戴式脑磁图应用推广提供更多的可能性．     

基于ADMM正则化轨道算法的高维稀疏精度矩阵估计

考虑预测变量p的数量超过样本大小n的高维稀疏精度矩阵.近年来,由于高维稀疏精度矩阵估计变得越来越流行,所以文章专注于计算正则化路径,或者在整个正则化参数范围内解决优化问题.首先使用定义在正定性约束下最小化Lasso目标函数精度矩阵估计器,然后对稀疏精度矩阵使用乘数交替方向法(ADMM)算法正则化路径,以快速估计与正则化...     

微波传输中沙尘衰减的计算与仿真

 1．Information and Engineering College, PLA Information Engineering University, P.O.Box 1001-826, Zhengzhou 450002, China;2．College of Information Science and Enginerring, Zhejiang University, Hangzhou 310022, China