多级无赔款优待系统的定价

被保险人若在一些年连续无索赔时,保险公司在收取下一年保费可以实行无赔款优待政策.这有利于鼓励被保险人防范风险,且对于保险公司来说可以避免小额索赔而节省费用.本文探讨了被保险人在若干年无索赔情况下,下一年实行不同优待值的多级无赔款优待系统,提出了被保险人及保险人的最优决策.一方面,保险人固定每年的保费π及累计每年优待数额(折扣值)d1,d2,d3,…,d(k-1), d,求出被保险人的最优门槛值.另一方面,本文又考虑了当保险人在前面的基础上,已经获知被保险人的最优策略时,反过来决定优待数额d1,d2,d3,…,d(k-1),d,使得保险人的现金流达到最大.     

Analysis on cohesive crack opening displacement considering the strain softening effect

In order to investigate the crack propagation in quasi-brittle materials like rock, ceramic and concrete, Hillerborg and his co-researchers abstracted the fracture process zone in front of a stress free crack in terms of a “fictitious crack zone”. On the fictitious crack zone, cohesive stresses distribute following a given softening relationship of stress vs. crack opening. Based on the polynomial or power series expression of cohesive crack opening displacement, the relationship of the cohesive stress vs. the crack opening displacement is established using elastic theory and integral equation, and some unknown physics variables are obtained using variation approach. The calculation results gained in this paper are close to the experimentally test ones.     

Boundary Value Problems for Nonlinear Differential Equations of Second Order inBanach Spaces

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The search for magnetic monopoles in magnetite from North China

Using the 27 kG magnetic field produced by a superconducting solenoid we have searched for trapped magnetic monopoles in a magnetite sample from North China. We hvve scanned the nuclear emulsion both for low ionizing tracks and heavily ionizing tracks, and polycarbonate track detectors for heavily ionizing tracks of magnetic monopoles. We obtained a 90% confidence level upper limit of 1.8×10⁻²⁶ monopoles per nucleon in the magnetite sample.     

Analytical modeling of loss characteristics of a polymer arrayed waveguide grating multiplexer

Theoretical analysis is performed for the loss characteristics of a polymer arrayed waveguide grating (AWG) multiplexer around the central wavelength of 1.55 μm with the wavelength spacing of 1.6 nm. The total loss of the device includes the diffraction loss in the input and output (I/O) slab waveguides, bent loss caused by the AWG and I/O channels, leakage loss resulted from the high refractive index substrate, and propagation loss due to the absorption and scattering of the materials of the device. The effects of some structural parameters on the loss characteristics are investigated and discussed. The computed results show that when we select the core thickness as 4 μm, core width as 6 μm, pitch of adjacent waveguides as 15.5 μm, diffraction order as 50, the number of the arrayed waveguides as 91, that of the I/O channels as 17, confined layer thickness between the core and the substrate as 10 μm, distance between the focal point and the origin as 5500 μm, and central angle between the central waveguide and the x-axis (i.e. the vertical of the symmetrical line of the device) as 60°, the total loss of the device can be dropped to the range 3.79–7.93 dB.     

激发能升高级联裂变到瞬发多重碎裂的演化

分析⁴⁰Ar+¹⁵⁹Tb、¹⁹⁷Au、²⁰⁹Bi(25MeV/u)中心碰撞产生的三体碎片产物的角关联,配合Ar+Au(60MeV/u)三体出射的数据,分析非完全熔合反应产生的高激发核衰变的演化过程,证明了在25MeV/u入射能时激发核产生的三重大质量碎片是级联的两次出射的裂变形成的,其时间差尺度大约为1000fm/c,而对60MeV/u入射能下的激发核观察到重碎片在120°附近出现强的角关联,这在理论上解释为发射时间差较短,即出现了瞬发的多重碎裂.     

部分服务台同步单重休假的M/M/c排队系统

本文研究只允许一部分服务台进入休假状态的M／M／c排队系统，在同步单重休假策略下，给出了稳态指标分布，证明了已知服务台全忙条件下的随机分解结果．     

Chiral planar waveguide for guiding single-mode backward wave

Single-mode backward wave is shown to be guided in a planar dielectric waveguide with a strong chiral core. The significant difference of such a waveguide from the traditional one is the guidance of single-mode backward wave, without using negative permittivity and/or negative permeability. In the design, we generalize the idea of total internal reflection to the chiral medium and make a numerical analysis on the reflection with oblique incidence. We deduce rigorously a general solution of incident wave on the boundary of two arbitrary chiral magneto-electric media. We observe that the impedance matching can eliminate the coupling between two eigenwaves in chiral media. With strong chiral core and the matched impedance with cladding, one eigenwave becomes a backward wave and can be guided without transferring to the other eigenwave. If a single-mode propagation condition is satisfied, we will get single-mode backward guided wave. A special interface has been designed to prevent the forward wave entering the waveguide from the source.     

基于平均场支持向量机的混沌时间序列预测

提出了一种新的基于支持向量机的混沌时间序列预测方法，该方法利用平均场理论使支持向量机的学习过程变得简单高效。同时由于该方法将支持向量机的参数近似为高斯分布的，因此采用平均场理论能够容易的求解这些参数，这样获得的支持向量机的参数比传统的基于二次规划的算法更加精确，而且学习速度更快。最后利用该方法对嵌入维数与模型的泛化能力关系进行了探讨，并利用Mackey-Glass时间序列对该方法进行了验证，结果表明：该预测方法能精确地预测混沌时间序列,而且在混沌时间序列的嵌入维数未知时也能取得比较好的预测效果.这一结论预示着平均场支持向量机是一种研究混沌时间序列的有效方法.