交换自同构群的若干结果

借助于环论的方法研究了具有交换自同构群的有限群,提出了一种新的自同构构作技术,并用之证明了这样的非交换有限群具有非循环的中心子群,以及其每个极大子群的中心子群也都非循环.     

Optimal Investment and Dividend Strategy in the Discrete Sparre Andersen Risk Model

In the discrete-time Sparre Andersen risk model with investments and dividend payments, the company controls the dividend payments and the proportions of venture investments in order to maximize the cumulative expected discounted dividends prior to ruin. The paper gets the algorithm of the optimal dividend strategy by analyzing a Hamilton-Jacobi-Bellman equation and transforming the value function. Furthermore, the existence of the optimal solution of the transformation function is proved by using compression mapping and fixed point principle. In order to make the calculation easier, this paper also proposes an innovative random simulation method for the optimal strategy, and proves that the simulation result is the consistent estimate of the real value. Finally, the random simulation method in the Matlab is used for numerical analysis in an example, which shows the innovative simulation method is a very good and helpful method for making dividend payment and investment decisions.     

基于界面跟踪方法的汽蚀模型和算法的有效性验证

针对两相附着汽蚀流动机理,基于界面跟踪方法发展了新的汽蚀模型和算法。所发展的汽蚀模型和算法不仅考虑了液相／气相界面处的压力差,而且考虑了耦合Reynolds-Averaged Navier-Stokes方程求解技术得到的流场压力梯度信息来迭代计算附着汽蚀形状。采用具有试验数据的半球形头部圆柱体汽蚀绕流作为算例来验证所提出的汽蚀模型和算法的有效性。采用不同的网格数和松弛因子数值验证了发展的汽蚀模型和算法的有效性。三种汽蚀数下的数值计算结果得到的压力系数分布与试验数据完全吻合。结果表明所提出的汽蚀模型和算法能够准确模拟出汽蚀发生点和汽蚀长度。     

等离子体中电磁波的粒子模拟

本文介绍了1 2/2维相对论性、电磁模等离子体粒子模拟的方法和原理。系统地以计算机模拟了由电子气体组成的等离子体中的各种电磁波。在无外加静磁场、加外横磁场、加外纵向磁场等不同情况下,分别得到静电波、电磁波、寻常波、非寻常波、ω=nω_c的磁回旋共振、左旋波、右旋波等。其色散关系、截止频率、共振频率、极限相速度均与理论结果一致。     

Chemoselective Catalytic Hydrogenation of α,β-Unsaturated Ketones and α,β-Unsaturated Carboxylic Esters

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金属氧化物薄膜的多离子束反应共溅射模型(Ⅱ)——数值计算与结果讨论

结合实验中的工艺技术参数,以Pb,Ti两金属靶的反应共溅射为例,对我们提出的金属氧化物薄膜的多离子束反应共溅射模型进行数值计算,分别得出了各靶的溅射速率R,反应腔中反应气体分压p以及衬底Pb,Ti的金属单质和氧化物所占的有效面积百分比与反应共溅射中直接可调的物理量,即反应气体总量Q和溅射离子束流J的关系.计算结果表明,该模型揭示了反应溅射具有滞回效应的本质特征,反映了反应共溅射中相关参数的相互影响与相互耦合的特点,给出了薄膜中组分原子百分比及其氧化物的形态与溅射工艺的关系,指出了多离子束反应共溅射中稳恒溅 关键词：     

含苯并噻唑杂环的α-氨基烷基膦酸二乙酯的合成及生物活性

用亚磷酸二乙酯与亚胺加成的方法合成了２０个Ｎ－（２－苯并噻唑基）－α－氨基膦酸二乙酯类化合物．利用协同３＋２机理对反应进行了解释．运用量子化学方法（ＭＩＮＤＯ／３）计算了亚胺分子的原子电荷，并讨论了取代基对五元环过渡态形成的影响．所合成的部分化合物具有较好的抑制烟草花叶病毒（ＴＭＶ）活性和一定的除草活性．     

半线性方程组边界层解的存在性

本文利用隐函数定理讨论了含小参数的半线性椭圆方程组边界层解的存在性．     

Bioisosterism between Sulfonyl Group and Phosphoryl Group-The Synthesis of New ALS Inhibitors N-(Arylamino Hydroxyl Phosphoryl)-N'-(4,6-Dimethoxypyrimidine-2-yl)ureas

Sulfonylureaherbicidesisanewclassofherbicidesdiscoveredinthemid-l97O's',whosemodeofactionhasbeenestablishedastheinhibitionofacetolactatesynthase(ALS,alsoreferredasacetohydroxyacidsynthase)'-Muchattentionhasbeenfocussedonthiskindofcompound,sincetheyhaveunprecedenteduserates,ahighdegreeofselectivity,andexcellentenvironmentalsafety'.NumerousmodificationsofthestrUctureofthisclassofherbicideshavebeenreported'.Wehavetakenattentiontothesimi1alltybetweenthesulfonylgroup(-SO2-)andphosphoryIgroup[-P…     

Synthesis and Structural Characterization of Adduct [La(NO_3)_3·4H_2O]·2(BQEB)

Differentkindsofopenchaincrownethershavebeensynthesizedasthemodelcompoundsofionophoresandtheirinteractionswithsodium,potassiumandrareearthionshavealsobeenstudiedl'z.PanshowedCe(III)yieldedalf1complexwithl,8-bis(8'-quinolyloxy)-3,6-dioxaandtheCe(IIl)ioncoordinatedbothtoetheroxygenandquinolinenitrogenatoms3.TUmInleridentifiedtwolanthanidenitratecomplexeshavingastoichiometryof3:2(3RE:2L)'.InordertostUdythefunctionsofbothquinolineandbenzenering,introducedintothepolyetherchain,a1inearpolyether…