线性谐振子的计算机代数计算

采用计算机代数方法，通过Mathematica软件计算线性谐振子的波函数，几率密度和几率最大值的位置。计算方法简单、通用，易于推广。     

Poisson单和—类广义Poisson单的刻划

讨论了Ｐｏｉｓｓｏｎ单和一类广义Ｐｏｉｓｓｏｎ单的基本刻划问题。     

加速度观测器设计与仿真

介绍了利用状态反馈综合带加速度反馈的最优控制系统，利用系统所检测的位置量和速度量设计了加速度观测器，并对综合的最优控制系统进行仿真，包括系统幅频、相频特性及状态估计值与真实状态之间的误差，最后给出了有、无加速度观测器反馈时系统跟踪晃动误差曲线。带加速度观测器反馈系统使晃动误差减小84％，滤除噪声的效果也比较好。     

A Study of Evaluation System of Restricting Factors in Training Students‘ Qualities

This paper studies evaluation system of restricting factors in training students' qualities by modern mathematical method of analysis hierarchy process and principal factor analysis, and to build up a mathematical model of evaluation system.     

Ruin Probability with Variable Premium Rate and Disturbed by Diffusion in a Markovian Environment

We consider a risk model with a premium rate which varies with the level of free reserves. In this model, the occurrence of claims is described by a Cox process with Markov intensity process, and the influence of stochastic factors is considered by adding a diffusion process. The integro-differential equation for the ruin probability is derived by a infinitesimal method.     

结构可靠性设计中尺寸变差系数的确定方法

提出了在结构可靠性设计中,根据现有加工条件和设计要求确定几何尺寸变差系数的思想,并给出了当已知精度等级时,直接加工尺寸和组合尺寸变差系数的计算方法和程序。采用该方法使可靠性设计更切合实际。     

减少化验次数的一个优化模型

依据数学理论证明在一定条件下，可以减少化验次数；并给出了选择方法；建立了一个减少化验次数的优化模型。     

两个组合恒等式的概率证明

给出了两个组合恒等式的概率证明，扩展了已知的结果。     

Method for Risky Multiobjective Group Decision-Making and Its Application

The multiobjective group decision-making problem under risk is common in reality. This paper focuses on the study about risky multiobjective group decision-making problem where the index value is not certain. We give indexes classifying method and index normalizing formula of this type problem. By building objective function that minimizes general weighted distance from every alternative to the relatively best and worst alternative, the optimal membership degree of every decision-maker to every alternative can be obtained, and by building another objective function that minimizes general weighted distance from the optimal membership degree of every decision-maker to every alternative to the group optimal alternative and the group inferior alternative, the optimal membership degree of every decision-maker to every alternative can be obtained, which are both based on probability theory and fuzzy theory. Aftermost a model is established which collects group preferences. This method provides a new idea and     

一种考虑补偿信用风险资本要求的算法

基于现行法定资本体制不考虑信用投资组合的多样化和限制空头信用风险头寸的补偿能力，设计了一种考虑补偿的信用风险资本要求的计算方法．该算法根据信用等级决定风险权重，可以更精确地测定信用风险资本．采用期限分段方法建立一个期间结构，区分当前和远期信用风险，考虑多头与空头信用风险头寸间的补偿．