正多边形的最优分割问题

记平面边长为1的正m边形为S_m,将S_m剖分成n块:S_(m1),S_(m2),…,S_(mn),这样的剖分称S_m的n剖分,并以T(m,n)表示.以d_(mi)表示区域S_(mi)(i=1,2,…,n)的直径(即区域S_(mi)任意两点之间距离的最大者).记D(m,n)=max{d_(m1),d_(m2),…,d_(mn)}及Ψ(m,n)=■{D(m,n)}.本文将估计Ψ(m,n)的上下界.证明Ψ(6,3)=3/2,Ψ(6,4)=3-3~(1/2),Ψ(6.6)=1,Ψ(6,7)=3/2,估计Ψ(6,n)的渐进性.提出几个猜想.     

金属-半导体比接触电阻的圆环结构测试法

本文中提出了一种测量金属-半导体欧姆接触比接触电阻的新方法-圆环结构测试法。导出了适用于半无限大和有一定厚度的半导体材料的比接触电阻表达式,用此方法进行实验测量和计算,所得结果与文献结果符合得很好。 关键词：     

混合溶液的布里渊散射和喇曼散射研究

利用布里渊散射测试了多种混合溶液的声速特性,发现声速随混合比的变化曲线既有单调变化的,也有存在极大值和极小值的。同时,在混合溶液的喇曼散射谱中发现了分分子某些振动模式频率因混合而移动的现象。本文对以上各种现象进行了解释,得到了混合溶液分子间相互作用的信息。研究还表明,光散射方法在这一领域研究中是富有特色的。 关键词：     

硅酸铋晶体等密度透光特性

对硅酸铋(简称BSO)晶体的电光非线性特性进行的实验中发现,当施加外电压于BSO晶体时,晶体呈现出某种光学等密度透光特性。本文基于双折射晶体的电光非线性,对此现象从机理上进行了分析,给出实验测量曲线,以及几个实例的实验结果。 关键词：     

应用GC-MS/MS技术检测水果蔬菜中22种残留农药

目前,水果蔬菜生产中存在严重的滥施农药情况.水果蔬菜中常含有多种类型的残留农药,品种复杂多样.     

On-line matrix addition for detecting aerosol particles

Single aerosol particles were measured by matrix-assisted laser desorption/ionization (MALDI) with an aerosol time-of-flight mass spectrometer (ATOFMS). The inlet to the ATOFMS was coupled with an evaporation/condensation flow cell that allowed matrix addition by condensation onto the particles. The coated particles entered the ion source through three-stage differentially pumped capillary inlet and were then ionized by a focused 266 nm Nd:YAG laser. The mass spectra and aerodynamic size of the single particles can be obtained simultaneously. The on-line matrix addition technique makes it possible to identify biological aerosols in real-time.     

微微秒叶绿素染料激光器的研究

本文报道用一台对撞脉冲锁模Nd:YAG激光器的三倍频光作为泵浦光源,采用超短腔结构,获得叶绿素的红色ps脉冲激光输出的装置和实验结果。研究了叶绿素a和b在各种聚合状态下输出激光波长随染料浓度的变化关系,当叶绿素a-乙醇溶液浓度为2×10~(-3)M,激光腔长<36μm时可获得单模调谐ps系列脉冲输出,激光束的发散角≈60mrad。     

A THEORETICAL APPROACH TO P_(co_2) EVOLUTION IN THE ATMOSPHERE BASED ON ASSOCIATIONS OF SEDIMENTARY MINERALS

Based on the theory of pH evolution of sea water and the balance between the seawater and the atmosphere the authors discussed the problems about (i) the method ofcalculating P_(CO_2) in the ancient atmosphere with the associations of sedimentary miner-als; (ii) the evolution of P_(CO_2) values in the geologic history; (iii) the relations of thepH evolution of sea water with carbonate precipitations; and (iv) calculation of the pHlimit for some associations of sedimentary minerals and its corresponding P_(CO_2) valuesin the atmosphere. The authors pointed out that though carbonates had deposited little in the Archaean,the content of CO_2 gas in the Archaean atmosphere was very high and was gradually go-ing up to form a thick CO_2 atmosphere. Up to 2600 Ma ago, the P_(CO_2) had reached a gradeof 10- 50 atm. There was a general trend of evolution that from the early Proterozoicera to the present the depositional horizon of carbonate layers was gradually risingand finally surpassed the horizons of clay min     

Unconventional Hamilton-type variational principles for electromagnetic elastodynamics

According to the basic idea of classical yin-yang complementarity and modern dual-complementarity, in a simple and unified new way proposed by Luo, the unconventional Hamilton-type variational principles for electromagnetic elastodynamics can be established systematically. This new variational principles can fully characterize the initial-boundary-value problem of this dynamics. In this paper, the expression of the generalized principle of virtual work for electromagnetic dynamics is given. Based on this equation, it is possible not only to obtain the principle of virtual work in electromagnetic dynamics, but also to derive systematically the complementary functionals for eleven-field, nine-field and six-field unconventional Hamilton-type variational principles for electromagnetic elastodynamics, and the potential energy functionals for four-field and three-field ones by the generalized Legendre transformation given in this paper. Furthermore, with this approach, the intrinsic relationship among various principles can be explained clearly.     

标准有限元方法模拟大气压流注等离子体中数值振荡与伪扩散问题研究与改进

基于商用软件的等离子体数值模拟方案大多是基于标准Galerkin格式的有限元方法,在计算大气压流注放电时,存在数值振荡和伪扩散的问题,计算结果可靠性不高.针对针-板体流注放电结构,构建了修正的COMSOL Multiphysics等离子体模型.修正模型与COMSOL Multiphysics内置等离子体模块的区别主要在于增加了基于弱形式的人工稳定项.利用修正模型复现了经典的雪崩-流注转捩算例,并与经典纳秒秒冲过电压针板放电实验结果进行了对比验证.结果表明,引入修正后的商用软件模型能够克服数值振荡和伪扩散缺陷,确保等离子体数值计算的准确性和可复现性.