The harmonic decomposition reconstruction for the exponential radon transform

The exponential Radon transform, a generalization of the Radon transform, is defined and studied as a mapping of function spaces. It is represented in terms of Fourier transform of its domain and range, and this leads to the harmonic decomposition reconstruction. The results are similar results of Tretiak and Metz. Foundation item: Supported by the National Natural Science Foundation of China (No. 19971064), Key Project of Science and Technology of Hubei Province Education Committee. Biography: Wang Jin-ping (1963-), male, Ph.D. candidate, research direction: numberical solution of singular integral equation and integral transformation etc.     

技术创新与技校教学浅谈

技术创新具有独特的结构和内含。而职业技校要培养有创新意识的技术工人和技术员，就必须使学生既要掌握理论知识，又要学得生产技能。只有两者有机结合，才能为技术创新打好基础。     

β-桉烯和其衍生物的合成及其抗生育活性

本文叙述了倍半萜类化合物——β-桉烯、衍生物Neointermedeol以及1,2,3,4,7,8-六氢-5,8-二甲基-3-异丙烯基萘的合成。初步药理筛选结果表明,这三个化合物均具有一定的抗生育活性。化合物还未见报道,它的化学结构在本文得到证实。     

钢绳罐道上容器的摆动和晃动

本文研究了钢绳罐道上提升容器的横向运动,它包括容器质心的横向摆动和绕质心的转动。建立了此系统的动力学微分方程组,并用龙格——库塔方法求得了运动的数值解。通过对数值解的分析说明:(1)容器的摆动量与提升钢绳的横向力,以及罐道长度成正比,与重锤的重量成正比。(2)在容器长度确定的条件下,增大上下罐耳之间的距离可使容器的晃动减小。但是,如果容器长度与罐耳间的距离同步地增加,将不能达到使晃动减小的目的。     

Resource Search in Unstructured Peer-to-Peer System Based on Multiple-Tree Overlay Structure

We propose a multiple-tree overlay structure for resource discovery in unstructured P2P systems. Peers that have similar interests or hold similar type of resources will be grouped into a tree-like cluster. We exploit the heterogeneity of peers in each cluster by connecting peers with more capacities closer to the root of the tree. The capacity of a peer can be defined in different ways （e.g. higher network bandwidth, larger disk space, more data items of a certain type etc.） according to different needs of users or applications.     

On the verge of <Emphasis Type="Italic">Umdeutung</Emphasis> in Minnesota: Van Vleck and the correspondence principle. Part one

In October 1924, The Physical Review, a relatively minor journal at the time, published a remarkable two-part paper by John H. Van Vleck, working in virtual isolation at the University of Minnesota. Using Bohr’s correspondence principle and Einstein’s quantum theory of radiation along with advanced techniques from classical mechanics, Van Vleck showed that quantum formulae for emission, absorption, and dispersion of radiation merge with their classical counterparts in the limit of high quantum numbers. For modern readers Van Vleck’s paper is much easier to follow than the famous paper by Kramers and Heisenberg on dispersion theory, which covers similar terrain and is widely credited to have led directly to Heisenberg’s Umdeutung paper. This makes Van Vleck’s paper extremely valuable for the reconstruction of the genesis of matrix mechanics. It also makes it tempting to ask why Van Vleck did not take the next step and develop matrix mechanics himself. This paper was written as part of a joint project in the history of quantum physics of the Max Planck Institut für Wissenschaftsgeschichte and the Fritz-Haber-Institut in Berlin.     

高速磁浮曲线地段简支轨道梁墩体系动力响应仿真

应用桥梁动力学、车辆动力学和电磁相互作用原理建立了高速常导磁浮交通车-梁-墩体系动力分析模型,利用数值积分求解了大规模非线性耦合动力方程.在此基础上结合具体线路条件进行了车线耦合动力学检算,得到了曲线地段车辆及梁墩体系动力响应基本规律.该部分的研究为制订合理的高速磁浮线路设计标准提供了理论依据.     

The Response of Debris-Flow Events to Solar Proton Flares （Ⅰ）

By analyzing the observation data from Dongchuan Debris Flow Observation and Research Station and historical data from year 1965 to 1990 gotten from National Astronomical Ob-servatories/Yunnan Observatory,the responding of debris flow in Jiangjia Ravine to Solar Proton Flare is studied. The following conclusion can be drawn. Solar Proton Flare,as one of most im-portant astronomical factors,affects the activity of debris flow in Yunnan. Generally,from 1965 to1990,the more active Solar Pro-ton Flare is,the greater the probability of high frequency and large runoff of debris flow is. On the contrary,the less active Solar Pro-ton Flare is,the greater the probability of low frequency,small runoff,and low sediment transport of debris flow is.     

首达渗流中关于时间常数μ的上界估计

对2维首达渗流的时间常数μ给出了一个上界估计．     

Bang bang control of unified chaotic system

The unified chaotic system contains the Lorenz system and the Chen system as two dual systems at the two extremes of its parameter spectrum. This paper presents the design of bang bang controller for unified system and multitude of numerical experiments under various control parameters. Numerical experiments meet the theoretic proof perfectly and convincingly demonstrated the controller can be effectively used for unified systems with uncertainty of the equilibrium points. The method enriches the applications of chaotic control. Foundation item: Supported by the National Natural Science Foundation of China(50209012) Biography: Deng Xiao-ming (1980-), male, Master candidate, research direction: chaos control.