带息力更新风险模型的一个极值分布

本文讨论了带息力的更新风险模型,得到了破产前最大盈余分布的递推公式,且在此基础上还给出了它满足的积分方程.     

矩阵初等变换的应用研究

以矩阵的初等变换为理论工具,可将其应用于求整数的最大公因数、最小公倍数和求多项式的最大公因式、最小公倍式.     

Comparison Results Between Preconditioned Jacobi and the AOR Iterative Method

The large scale linear systems with M-matrices often appear in a wide variety of areas of physical,fluid dynamics and economic sciences.It is reported in[1]that the convergence rate of the IMGS method,with the preconditioner I S_α,is superior to that of the basic SOR iterative method for the M-matrix.This paper considers the preconditioned Jacobi(PJ)method with the preconditioner P=I S_α S_β,and proves theoretically that the convergence rate of the PJ method is better than that of the basic AOR method.Numerical examples are provided to illustrate the main results obtained.     

A Model for Fractal Dimension of Rough Surfaces

We report a model for the fractal dimension D8 of rough surfaces based on the fractal distribution of roughness elements on surfaces and the fractal character of surface profiles. The proposed model for the fractal dimension Ds is expressed as a function of the fractaJ dimensions D for conic roughness diameter/height and Dp for surface profile, maximum roughness base diameter λmax, the ratio β of conic roughness height to its base radius as well as the ratio λmin/λmasx of the minimum to the maximal base diameter.     

绳系小球上升最高点速度参数的设置

在高中阶段学生所学习的曲线运动中,竖直面内的圆周运动比较典型、综合的运动,其运动过程存在较多变数和不确定性.绳系小球或者单轨光滑内侧的物体在竖直面内的圆周运动,是学习圆周运动知识过程中一个难点.其中的变数和不确定性是由设置竖直面内最低点的速度大小不同所决定的.不同的速度大小就会有不同的运动过程,比如是一般的摆动、完整的圆周运动还是圆周运动与斜上抛运动结合,求解最大高度时的方法大不相同.下面通过分析例题,总结求最大高度的方法,讨论不同难易度的题目应如何设置最低点的速度大小.     

A narrow-linewidth continuous wave Ho：YAL03 laser with Fabry-Perot etalons

A narrow linewidth continuous wave Ho：YAP laser with two Fabry-Perot etalons pumped by a Tm：YLF laser is reported. The maximum output power reaches 8.3 W when the incident pump power is 15.8 W, with 52.5% optical-to- optical conversion efficiency and 62.6% slope efficiency. A stable laser output at 2118.1 nm is achieved, with a linewidth less than 0.4 nm （full width at half maximum）. The beam quality factor is M2- 1.25, measured by the traveling knife-edge method.     

阵列天线最大输出信干噪比下最优权重降维算法

本文研究阵列天线系统最大输出信干噪比准则下最优权重的降维算法。在求最优权重的过程中，计算复杂度是我们要关心的重要的问题，而计算复杂度与权重矢量的维数成正比。权重矢量的维数和天线阵的阵元个数相同。在期望方向和干扰方向小于天线阵元个数的情况下，完全可以通过某种变换，降低计算最优权重的实际维数，从而降低计算复杂度。     

高血压性脑出血再发生因素的Logistic分析

根据问题的特点 ,选择 Logistic判别模型 ,并借鉴普通线性回归的逐步向前法 ,用似然比统计量 ( Deviance)来筛选自变量 (因素 ) .结果显示 :在 1 1个因素中 ,有 3个是作用显著的 ,而其中舒张压值极为重要 .为降低再出血率 ,将其控制在 85 mm Hg以下是有效而可行的     

连续型随机序列与幂函数分布的比较及几何平均的若干强极限定理

本文引入似然比概念作为一般连续型随机变量相对于乘积幂函数分布的偏差的一种随机性度量 ,运用鞅理论及分析方法 [3 - 4 ] ,得到了一种新形式的强大数定理 ,即关于随机变量几何平均 Gn(ω)=∏ni=1Xi1 /n的强极限定理 .     

Upper Bounds for the Laplacian Graph Eigenvalues

We first apply non-negative matrix theory to the matrix K = D A, where D and A are the degree-diagonal and adjacency matrices of a graph G, respectively, to establish a relation on the largest Laplacian eigenvalue λ1 (G) of G and the spectral radius p(K) of K. And then by using this relation we present two upper bounds for λ1(G) and determine the extremal graphs which achieve the upper bounds.