Horizontal Connection and Horizontal Mean Curvature in Carnot Groups

In this paper we give a geometric interpretation of the notion of the horizontal mean curvature which is introduced by Danielli Garofalo-Nhieu and Pauls who recently introduced sub- Riemannian minimal surfaces in Carnot groups. This will be done by introducing a natural nonholonomic connection which is the restriction （projection） of the natural Riemannian connection on the horizontal bundle. For this nonholonomic connection and （intrinsic） regular hypersurfaces we introduce the notions of the horizontal second fundamental form and the horizontal shape operator. It turns out that the horizontal mean curvature is the trace of the horizontal shape operator.     

Bivariate Recursive Equations on Excess-of-loss Reinsurance

This paper investigates bivariate recursive equations on excess-of-loss reinsurance. For an insurance portfolio, under the assumptions that the individual claim severity distribution has bounded continuous density and the number of claims belongs to R1 （a, b） family, bivariate recursive equations for the joint distribution of the cedent＇s aggregate claims and the reinsurer＇s aggregate claims are obtained.     

On a micro‐macro model for polymeric fluids near equilibrium

In this paper, we study a micro‐macro model for polymeric fluid. The system involves coupling between the macroscopic momentum equation and a microscopic evolution equation describing the combined effects of the microscopic potential and thermofluctuation. We employ an energetic variation procedure to explore the relation between the macroscopic transport of the particles and the induced elastic stress due to the microscopic structure. For the initial data not far from the equilibrium, we prove the global existence and uniqueness of classical solutions to the system. © 2006 Wiley Periodicals, Inc.     

杀菌剂福美双的电化学性质及线性扫描溶出伏安法测定

提出了线性扫描溶出伏安法测定福美双的电分析化学方法.在 pH 5.0 HAc-NaAc缓冲溶液中福美双在汞电极上出现一还原峰,峰电位为-610 mV(vs.Ag/AgCl).采用各种电化学技术如循环伏安法和线性扫描溶出伏安法等对本体系进行研究,发现采用线性扫描溶出伏安法能得到较灵敏的还原峰,呈现不可逆电极反应现象,并具有一定的吸附性,在210 s时能达到吸附平衡.选择吸附时间为180 s时,线性范围为0.02～0.14 μg·mL-1,最低检测限为9.5 ng·mL-1.将本方法用于实际样品的测定,得到满意的结果.     

N-Widths and Average Widths of Besov Classes in Sobolev Spaces

In this paper, we consider the n-widths and average widths of Besov classes in the usual Sobolev spaces. The weak asymptotic results concerning the Kolmogorov n-widths, the linear n-widths, the Gel＇fand n-widths, in the Sobolev spaces on T^d, and the infinite-dimensional widths and the average widths in the Sobolev spaces on Ra are obtained, respectively.     

傅里叶变换红外光谱仪遥测污染云团的吸收光谱算法

遥感傅里叶变换红外光谱技术因其具有对污染源作无干扰监测、多组分的同时连续测定、区域性或大范围地区的测量等优点,因而已广泛的应用于遥感测量技术。利用傅里叶变换红外(FTIR)光谱仪远距离探测目标,根据探测的目标源是否充满光谱仪的视场,建立了三种辐射模型。在所建立模型的基础上,选用了D&P公司生产的便携式Model-101型傅里叶变换红外光谱仪,实时探测目标云团和背景,运用差谱法和发射光谱法对探测结果进行了光谱分析,进而得到了扣除背景影响后的目标云团吸收光谱。给出了相应的仿真实验结果示例。实验结果表明,由差谱法得到的结果准确度较好。     

切变模量和转动惯量实验的改进

设计了一种基于垂直轴定理的新型吊钩,对切变模量和转动惯量实验进行了改进,使之成为既可测定金属丝切变模量和环、柱等刚体的转动惯量,又可验证反映转动惯量重要性质的平行轴定理及垂直轴定理的多功能实验仪.     

KNSBN晶体猫式互抽动相位共轭光特性

在KNSBN：Ce晶体中，利用二波耦合作用，在单一光束无法获得相位共轭光的条件下，实现了“猫”式互抽运相位共轭光输出，获得较高的共轭光发射率，实验结果表明，晶体的二波耦合作用可以使晶体的自抽运相位共轭光的阈值光强降低。入射光的入射角范围增大，响应时间缩短。     

含有五边形—七边形缺陷的单壁纳米碳管的输运性质研究

运用第一性原理的密度泛函理论结合非平衡格林函数研究了含有五边形—七边形拓扑缺陷的纳米碳管异质结的输运性质.结果发现：拓扑缺陷对碳管的输运性质有很大影响；另外，不同类型的碳管形成的异质结的输运性质也有明显的差异. 关键词： 纳米碳管 输运性质 异质结 透射系数     

非线性拉曼激光雷达测量CO2气体的研究

提出了利用气体的受激拉曼散射(SRS)效应激光雷达光源来探测大气中的CO2气体的新方法,设计出探测大气中CO2气体含量的非线性拉曼增益激光雷达,用Nd:YAG激光器(1064 nm)的三倍频光(354.7 nm)通过分别装有CO2气体和N2气体的拉曼管,分别得到CO2气体和N2气体的受激拉曼散射的一阶斯托克斯线(S1),并用S1线作为雷达的种子发射光源.通过实验得到拉曼管中的气压与S1能量的变化关系,对其优化条件和物理机制进行了分析.该实验方法已经成功测出了大气中CO2气体的回波电压信号.