关于逆向Pedoe不等式及其应用

本文给出著名的Pedoe不等式之逆向不等式(3),并利用它得出著名的Oppenheim不等式之逆向不等式(12)。此外,本文还给出正定厄米特矩阵的Minkouski不等式之逆向不等     

Ternary Eutectic Growth in a Highly Undercooled Liquid Alloy

The crystal nucleation and growth mechanism during the formation of Ag42.4 Cu21.6 Sb36 ternary eutectic are investigated under substantial undercoo]ing conditions. The x-ray diffraction analysis shows that the solidified eutectic phases are not invo]ved (Ag) within a wide undercooling range of 6-114 K. This indicates that under high undercooling condition, the phase constitution of Ag-Cu-Sb eutectic is different from that in the equilibrium phase diagram. With the increase of undercoo]ing, the crystalline morpho]ogy of Ag42.4 Cu21.6 Sb36 alloy transforms from the mixed structure of primary θ(Cu2Sb), two pseudobinary eutectics and (ε θ Sb) ternary eutectic into a unique (ε θ Sb) ternary eutectic. The calculated results indicate that θ(Cu2Sb) is the leading nucleating phase among the three eutectic phases. In addition, the growth morpho]ogy of primary ε(Ag3Sb) compound in Ag60Cu6Sb34 alloy exhibits the characteristics of solid solution and its orthorhombic dendrite grows along the (111) directions.     

综合题新编选登

题 1 2 7　过点 (0 ,1)的直线l与曲线C :y =x+1x (x >0 )交于相异两点 ,设曲线C在这两点处的切线分别为l1与l2 ,求l1与l2 交点的轨迹 .解　设直线l与曲线C交于点M (x1,y1) ,N(x2 ,y2 ) ,l1与l2 交于点P(x ,y) ,直线l的斜率为k ,方程为 y =kx +1.对 y =x +1x求导 ,得 :y′ =1- 1x2 .则 y′|x =x1=1- 1x21,y′|x =x2 =1- 1x21.故直线l1的方程为y - (x1+1x1) =(1- 1x12 ) (x -x1) ,即 y =(1- 1x12 )x +2x1(1)同理 ,可求得l2 的方程为y =(1- 1x22 )x +2x2(2 )(1) - (2 )得 (1x22 - 1x12 )x +2x1- 2x2=0 .由于x1≠x2 ,解得x =2x1x2x1+x2(3)由 …     

常曲率空间中有限点集的两类几何不等式

应用距离几何的理论与方法,研究了n维常曲率空间中有限点集的一些几何度量之间关系,建立了常曲率空间中有限点集的两类几何不等式,推广了已有的结果.     

吡唑类化合物的合成研究进展

吡唑类化合物是一类重要的药物合成中间体,在抗肿瘤、抗病毒、抗抑郁等领域发挥着重要作用。本文综述了吡唑类衍生物的合成方法,包括1,3-亲电化合物与肼类的环化、1,3-偶极体系的环加成等。     

基于双咪唑和二元羧酸配体的配位聚合物的合成、表征和发光性质研究

利用水热法合成了2种新的双咪唑及二元羧酸配体镉配合物[Cd(sdc)(bipe)]·H_2O(1)和[Cd(bpdc)(bipe)(H_2O)](2)[bipe=bis(4-imidazolphenoxy)ethane,H_2sdc=4,4’-sulfonyldibenzoic acid,H_2bpdc=biphenyl-4,4’-dicarboxylic acid].通过元素分析、红外光谱(IR)、X射线单晶衍射和热重分析(TG)等方法对其进行表征,并测试了2种化合物的荧光性质.化合物1展示了一个具有{4~4·6~2}拓扑的(4,4)-连接的sql二维空间网络结构,配体与金属间荷移跃迁化合物2显示了一个具有(4~(12)·6~3)的六连接pcu网状拓扑结构.荧光测试结果显示,配体与金属间发生的荷移跃迁使得化合物1和2的荧光发射峰与配体bipe相比明显发生了红移.     

BURNING OF SINGLE CARBON PARTICLE APPROACHED BY ACTIVATION ENERGY ASYMPTOTICS

The method of activation energy asymptotics is used to treat the combustion of a singlecarbon particle in quiescent gas mixture with high temperature.Both heterogeneousreactions 2C+O_2→2CO,C+CO_2→2CO and homogeneous reaction2CO+O_2 (?) 2CO_2 are considered.It is shown that the burning of the particle principallyis carried out during a diffusion-limited period.Four brief and complex periods throughwhich the history of the particle evolves from a heat-up period to the diffusion-limited periodare described.A comparison between results of activation energy asymptotics and e(?)numerical solutions is given.The agreement is considered satisfactory.     

解析拟协调平面四边形单元

基于弹性平面问题的多项式解析解，构造出一种新的拟协调平面四边形单元──ＡＱＣＥ单元。算例表明该单元具有计算量小、精度高、便于应用的优点。     

地震检波器的参数受温度影响的研究

研究温度对动圈式地震检波器的参数的影响．在对精密测量的地震检波器的参数进行数据分析的基础上，揭示了地震检波器输出电阻、自然频率、阻尼和灵敏度等4个参数的温度响应，分析讨论了有关参数对温度的变化规律．提出了控制这种变化的对策，初步实验结果证实了其可行性．最后，指出地震检波器参数的变化是可控的，同时认为如无原理上的重大改进，高精度的超级检波器最可能实现在10-20Hz频率范围中．     

液相色谱串联质谱法测定蔬菜中四聚乙醛残留量

建立了测定蔬菜中四聚乙醛残留量的液相色谱串联质谱方法.蔬菜样品经乙腈提取,盐析后吹干乙腈提取液,再用氟罗里硅土固相萃取小柱净化,用正已烷/丙酮(80:20,V/V)混合溶剂洗脱,氮吹后用乙腈-20mmol/L,乙酸铵溶液(70:30,V/V)溶解后进行仪器分析.分析采用XBridgeTM C18色谱柱分离,乙腈-20m...