NCD系统的数学理论

无索赔折扣系统(No Claim Discount system,简记为NCD系统)是世界各国机动车辆险中广泛采用的一种经验费率厘定机制.本文尝试建立了NCD系统严谨的数学理论, 重点讨论了NCD系统的数学建模和稳态分析.此外,作为本文必要的数学前提,首先在第2节着重探讨了随机矩阵间的随机优序关系,并将所得结论运用至齐次不可约且遍历的马尔科夫链的研究中,这些内容也有其独立的数学上的兴趣.     

Quantum Games of Continuous Distributed Incomplete Information

We study two-player quantum games of incomplete information in which both the sides have partial information.The previous results of Du et al. [Phys. Rev. E 68 (2003) 016124] are incorporated in our more general formalism.Because of different roles played by the total information uncertainty and the information asymmetry, the game exhibits many interesting features.     

浅谈里德伯常数

 1.里德伯常数的由来用光谱仪分析氢放电管和某些星体的光谱,即可获得H原子光谱。瑞士科学家巴末尔长期研究原子光谱线。1884年6月25日在巴塞尔自然科学协会的演讲中,他公布了一个关于氢光谱波长规律的经验公式。同年又发表在当地的一个刊物上,1885年又刊载在《物理杂志》上,他根据实验结果得出在可见光区的氢光谱分布规律的经验公式:λ=Bn2n2-22,式中B是一常数,等于36456纳米.     

在几何和参数上表示同一条曲线的两条有理NURBS曲线的权与控制顶点之间的关系

The paper discusses the relationship between weights and control vertices of two rational NURBS curves of degree two or three with all weights larger than zero when they represent the same curve parametrically and geometrically, and gives sufficient and necessary conditions for coincidence of two rational NURBS curves in non-degeneracy case.     

两个回归函数相等的Bootstrap检验

两个回归参数相等性检验一直是统计界感兴趣的问题之一．在这篇文章中，四个检验统计量被用于度量两曲线的差异，在原假设下统计量的分布采用向量数据的重复抽样来逼近，并给出了—些模拟结果．     

Multiple Scattering Effects of Ag Particles in Random Ag-SiN Film

A layer of 40nm-thick Ag-SiN film with Ag nano-particles embedded and distributed randomly in the SiN thin film were deposited by the method of radiant-frequency magnetron sputtering. Specimens orderly comprising a random Ag-SiN film and an optical phase change recording layer were exposed to a focused laser beam with wavelength of 69Ohm. It is shown that, with a random Ag-SiN layer deposited above the recording layer. Calculation by the finite difference time domain method of a 4Ohm-thick SiN film under a Gaussian beam irradiation has been carried out to simulate the near-field distribution in the film, which showed a huge local near-field intensity enhancement of about 200 times if small Ag particles with diameter of 6 nm were modelled inthe SiN film in the central region of the in cident laser spot.     

李群,拓扑与微分几何

该文介绍严志达院士的若干工作，以庆贺他的八十寿辰．     

横向放大率法确定复合光学系统的基点

介绍了应用测量横向放大率确定两薄透镜组成的复合光学系统基点的方法。由于采用线阵光电耦合器件（CCD）测量物经光学系统成像的横向放大率，提高了测量精度。