Optimal New Business for Insurer to Minimize the Ruin Probability under Interest Force

Introduction In ruin theory, minimizing the ruin probability ofan insurance company is of practical importance. Bystochastic control theory, a great deal of work hasbeen done on the problem with different control varia-bles. Browne[1]considered a risk mod…     

驼峰堰临界淹没度（hs／H0）cr计算探讨

本文从数学力学原理出发，对驼峰堰淹没流太判别进行探讨，得到了驼峰堰临界淹没度（ｈｓ／Ｈ０）ｃｒ的理论计算式，可供实际工程参用。     

格蕴涵代数中的格蕴涵代数方程

根据逻辑代数方程理论,提出了格蕴涵代数方程的概念.讨论了格蕴涵代数L中的几种基本类型的一元格蕴涵代数方程,给出了方程的可解性判别条件.在此基础之上,证明了方程的解集构成L的凸子格.     

高斯方程在土石方调配计算中的应用

介绍了国外一种承包工程中采用的高斯（CROSS）方程计算挖方或填方的方法。     

L2空间内的抛物函数展开

本文根据经典的本征函数展开理论,推导了任意平方可积函数空问内的抛物函数展开式,并且给出了一个展开实例,作为对理论的验证。本文结果可应用于求解与电磁散射和天线有关的一类问题中。     

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将交通流模型表示成拟线性一阶双曲型偏微分方程组;按照方程组中的系数值，对交通流的各种宏观模型进行了分类;依据特征线的特征速度是否小于宏观运动速度，模型是否依赖外来的速度一密度平衡关系以及模型代表的交通流特点等三项指标对模型进行了评价.结果表明有三种比较理想的交通流模型.     

Thomas—Fermi—Dirac方程的两点边值问题

建立了量子力学中的Ｔｈｏｍａｓ－Ｆｅｒｍｉ－Ｄｉｒａｃ方程，得到了孤立中性原子和正离子情形的边值问题解的存在性。     

Simultaneous modeling of individuals’ duration and expenditure decisions in out-of-home leisure activities

In this paper, we propose an activity model under time and budget constraints to simultaneously predict the allocation of time and money to out-of-home leisure activities. The proposed framework considers the activity episode level, given that the activity is scheduled. Thus, the model considers the decision of the quantities for duration and expenditure spent during the activity. We use a flexible utility function and show how the simultaneous equations can be estimated by using structural equations model (SEM) estimation techniques to handle the endogeneity problem of time and expenditure. The estimation results are based on a large national leisure diary data set collected in 2008 in the Netherlands, which provides detailed information about time and money spent as well as timing and location attributes of the activities. The analysis reveals that socio-demographics, travel party, timing and location variables influence the duration and expenditure of activity episodes. It shows that various socio-demographic groups display different preferences in terms of the time and money spent on activities. The results also indicate substitution relationships between spending more time and money for various activity categories. Thus it is concluded that the analysis provides useful results for a better understanding of combined time and money allocation decisions for leisure activities.     

变系数BBM方程的精确解

通过推广的F-展开法研究了变系数BBM(Benjamin,Bona and Mahony)方程的精确解,通过线性变换将变系数BBM方程约化为标准椭圆方程形式,由标准方程的行波解的结构求出原方程的解,从而得到了变系数BBM方程丰富的精确解.同时研究了解随参数的变化而变化的情况.     

基于旋量理论的空间机器人动力学建模研究

在旋量理论和Kane方程的理论基础上,将旋量理论和Kane方程相结合,找到理论的结合点——偏速度,即雅可比矩阵,引入了偏速度旋量的概念;介绍了求解机器人雅可比矩阵的新方法——将矢量积和旋量理论相结合的方法,推导出了基于旋量理论的Kane动力学方程。