分数布朗运动和反常扩散

本文评述了分数布朗运动和反常扩散现象及描写它们的几种数学方式。报告了我们在弹道扩散的产生条件、起源和长时间效应方面的工作。     

Track Etching of PET Studied by Spectrophotometer

Energetic heavy ion passing through polymeiic materials can produce a cylindrical intensively damaged area along the ion path, which is referred to as latent ion track. Large amount of small molecule fragments are produced inside ion track through interactions between the ion and the target atoms, which made it easy to be chemically etched compared to the bulk material. Porous membranes with nanometer and micrometer sized pores can therefore be produced through proper etching of the ion irradiated polymer film. As the pores are well aligned with respect to each other and the pore geometric shape can be finely controlled, the so produced ion track membrane has found wide applications.     

导弹末区轨迹的单站定位测量

通过对导弹末区轨迹单站定位测量方法所采用的位置测量方程和速度加速度测量方程的推导,介绍了导弹末区轨迹的单站定位测量原理。系统误差分析结果表明,影响导弹末区轨迹测量精度的主要因素是测量设备的方位角和俯仰角测量误差,而不是通常认为的激光测距误差。通过单站定位测量法与多站交会测量法之间的性能比较,论述了单站定位测量法的技术优势。     

弹道相机白天工作能力的影响因素分析及提高途径

弹道相机通常是在夜间对飞行目标进行拍摄,在相机类型不改变的情况下要达到白天工作能力具有一定困难,主要障碍是拍摄后,底板上目标与背景的衬比(度)下降,难以达到判读要求.针对这一问题,本文详细叙述了各因素对判读要求的影响,提出了改善相机白天工作能力的可行方法.     

数学问题解答

20 0 3年 7月号问题解答(解答由问题提供人给出 )1 44 6　设x≥ 0 ,a >0 ,求使不等式1 +x≥ 1 + x2 - x2a成立的最大的a .(宁波市甬江职高综合高中部　邵剑波　 31 5 0 0 0 )解　令 1 +x =t≥ 1 ,则x=t2 - 1 ,故1 +x - 1 - x2 + x2a=t- 1 - 12 (t2 - 1 ) + 1a(t2 - 1 ) 2=12a(t- 1 ) [2a-a(t+ 1 ) + 2 (t+ 1 ) 2 (t- 1 ) ]=12a(t- 1 ) [a-at + 2 (t+ 1 ) 2 (t- 1 ) ]=12a(t - 1 ) 2 [2 (t + 1 ) 2 -a]≥ 0 ,因此a≤ 2 (t + 1 ) 2 一定要成立 ,由于 2 (t+ 1 ) 2 在t≥ 1时的最小值为 8,所以所求的最大的a为 8.1 44 7　已知二次函数f(x) =ax2 …     

关于斜抛运动的分析

对斜抛运动的方程进行了较详细的分析，从而得到了关于斜抛物体的若干运动特性。     

微元法解决一般"追戏"问题

【问题】有n(n≥3)个质点A1，A2，…An分别位于外接圆半径为r的正n边形的各顶点上，在t=0时刻，这n个质点开始按逆时针方向依次紧盯追逐，即A1追A2，A2追A3，…An-1追An，An追A1．在追逐过程中，每个质点的速率不变，均为v．求：(1)这n个质点相遇(重合)时所经历的时间T；(2)每个质点所经过的轨迹的长度L；(3)每个质点的运动轨迹．     

An Atomic Force Microscopy Investigation of the Tracks Made by C1^＋－C4^＋ Bombardment on CR－39 Detectors

Carbon micro-clusters are accelerated by an HI-13 tandem accelerator. The plastic nuclear track detectors CR-39are irradiated by C1-C4 beams from the HI-13 tandem accelerator and the tracks in CR-39 are studied using anatomic force microscope (AFM). The depths and diameters of C1-C4 tracks are measured for the first time in ananometre scale. An enhancement of the energy loss is obtained for carbon clusters related to single carbon ionswith the same velocity. The results show that the AFM observation is very useful in the quantitative analysis ofclusters in the track detector CR-39.     

Separability Criteria for Quantum Mixed States in Terms of Trace Norm

A new necessary conditions for separability of mixed states in bipartite and multipartite quantum systems of arbitrary dimensions are presented. This method requires only a few local measurements. If a quantum state in a bipartite （or multipartite） system of arbitrary dimension is separable, we show that the trace norm of a constructive matrix is less than or equal to 1.     

“求点的轨迹方程”教学实录及反思

"高三数学复习课怎么上?"是数学教学的重要话题.本文纪录了笔者一堂高三复习课"求点的轨迹"的教学过程,并就此谈一些感受,供同行参考.不妥之处,敬请指正.