二极管爆炸发射阴极等离子体的膨胀扩展

分析了二极管中爆炸发射产生阴极等离子体的演化特征,在考虑了阴极等离子体朝阳极膨胀运动使二极管阴阳极间距缩短这一效应的同时,还计入了阴极等离子体沿发射表面径向扩展运动对二极管有效发射面积的影响。基于Child-Langmuir定律,利用在一个四脉冲强流电子束源装置上得到的电流、电压等实验数据,假定阴极等离子体轴向膨胀和径向扩展速度近似相等,研究了阴极等离子体的膨胀扩展动力学行为。计算结果表明,阴极等离子体朝阳极的膨胀和沿径向的扩展速度为0.9～2.8 cm/s。     

基于LabVIEW激光引信回波模拟装置设计

激光引信回波模拟装置是激光引信测试设备的重要组成部分。介绍了激光引信回波模拟装置的组成,设计了用于该装置的硬件电路和软件控制系统。硬件电路采用单片机完成控制指令的接收和控制信号的产生,使用串行扩展芯片GM8125将单片机AT89S52的串行口扩展成5个,满足了激光引信回波模拟装置串口资源要求。软件控制系统基于LabVlFⅣ设计,主要包括串口通信程序和控制指令的产生程序,控制指令经串口通信传送给硬件电路。实验结果表明,该装置满足激光引信测试设备的要求。     

单函数(A,Γ)小波的存在性问题

小波分析是除了Fourier分析和Gabor分析以外一种新的时频分析工具．它被应用在信号处理、图像处理以及许多其他领域．小波分析的—个基本问题是什么样的(A,Γ)对,使得存在单函数(A,Γ)小波.本文填补了Ionascu,Yang Wang关于单函数小波存在性问题在二维情形论证中的漏洞.     

再谈2009湖南高考第15题

文[1]从图形扩展及数学归纳法等角度,对2009湖南高考第15题作了一定的分析,笔者总感觉缺乏本质的讨论,本文试从讨论该数阵的性质来解决本质,供同行参考．     

桥数为3的纽结上的Dehn手术与透镜空间L(3,1)

对于桥教最多为3的纽结,证明了Gordon的L(3,1)猜测,即如果K是三维球面中桥数不超过3的非平凡纽结,那么K上的Dehn手术不能产生透镜空间L(3,1).     

一个新的高维向量Lie代数及其应用

构造了一个新的8维向量Lie代数,通过适当设计等谱问题,利用屠格式和扩展的迹恒等式得到了AKNS族的可积耦合及Hamilton结构.     

General Regular Variation of n-th Order and the 2nd Order Edgeworth Expansion of the Extreme Value Distribution （Ⅰ）

In Part Ⅰ the concept of the general regular variation of n-th order is proposed and its construction is discussed. The uniqueness of the standard expression and the higher order regularity of the auxiliary functions are proved.     

Extended Group Foliation Method and Functional Separation of Variables to Nonlinear Wave Equations

Generalized functional separation of variables to nonlinear evolution equations is studied in terms of the extended group foliation method, which is based on the Lie point symmetry method. The approach is applied to nonlinear wave equations with variable speed and external force. A complete classification for the wave equation which admits functional separable solutions is presented. Some known results can be recovered by this approach.     

Determination of interface layer thickness of a pseudo two—phase system by extension of the Debye equation

The Debye equation with slit-smeared small angle x-ray scattering(SAXS) data is extended form an ideal two-phase system to a pseudo two-phase system with the presence of the interface layer,and a simple accurate solution is proposed to determine the average thickness of the interface layer in porous materials.This method is tested by experimental SAXS data,which were measured at 25℃,of organo-modified mesoporous silica prepared by condensation of tetraethoxysiland(TEOS) and methyltriethoxysilane(MTES) using non-ionic neutral surfactant as template under neutral condition.