随机利率下权益指数年金定价

在随机利率的条件下,当股票价格服从对数正态分布时,利用Martingale Pricing方法推导出了简单点对点法和年度重设法下权益指数年金的定价公式,并就随机利率的波动率、股价波动率、递延期间对均衡参与率的影响程度进行了敏感度分析。     

On the notion of free will in the Free Will Theorem

The (Strong) Free Will Theorem (fwt) of Conway and Kochen (2009) on the one hand follows from uncontroversial parts of modern physics and elementary mathematical and logical reasoning, but on the other hand seems predicated on an undefined notion of free will (allowing physicists to “freely choose” the settings of their experiments). This makes the theorem philosophically vulnerable, especially if it is construed as a proof of indeterminism or even of libertarian free will (as Conway & Kochen suggest).However, Cator and Landsman (Foundations of Physics 44, 781–791, 2014) previously gave a reformulation of the fwt that does not presuppose indeterminism, but rather assumes a mathematically specific form of such “free choices” even in a deterministic world (based on a non-probabilistic independence assumption). In the present paper, which is a philosophical sequel to the one just mentioned, I argue that the concept of free will used in the latter version of the fwt is essentially the one proposed by Lewis (1981), also known as ‘local miracle compatibilism’ (of which I give a mathematical interpretation that might be of some independent interest also beyond its application to the fwt). As such, the (reformulated) fwt in my view challenges compatibilist free will à la Lewis (albeit in a contrived way via bipartite epr-type experiments), falling short of supporting libertarian free will.     

混合条件下的哈密尔顿系统周期解的存在性

本文利用鞍点定理得到了二阶哈密尔顿系统{ü(t)+▽F(t,u(t))=0,■t∈R,u(0)-u(T)=u(0)-u(T)=0,T0在带有混合条件时的周期解的存在性,推广了已有结果.     

一个遗传拨动开关系统的全局稳定性

该文研究一个具有协同数为1的遗传拨动开关系统的全局定性性质. 首先证明该系统仅有一个平衡点且为稳定结点, 再利用Poincare-Bendixson 定理证明系统没有周期轨, 最后证明系统恰有两个无穷远平衡点且均为鞍结点, 从而获得系统的全局定性结构, 由此知系统是全局单稳的.     

Pascal定理的初等证明及初等推论

给出了高等几何中的Ｐａｓｃａｌ定理的初等证明及５个初等推论。     

高职电工学课程分层次教学的探索与思考

分析了在电工学教学中采用分层次教学的必要性,重点探讨了分层次教学的分层方法,通过对个人及层次班级建立的档案、横向与纵向、03级与04级试卷的对比分析,探讨了分层次教学效果的评价方法.     

中国剩余定理在RSA解密中的应用

在分析RSA密码算法实现原理的基础上,着重论述了利用单基数转换法(SRC)和混合基数转换法(MRC)计算中国剩余定理惟一解的方法以及利用这两种方法快速实现RSA的解密算法。     

基于二元多项式与中国剩余定理的多秘密分享方案

在基于单向函数和二元多项式的秘密分享方案的基础上,利用中国剩余定理构造了一个(t+1,n)门限可验证的多秘密分享方案.这个方案便于成员加入和系统的更新.     

RSA算法硬件实现的几个关键技术

介绍了RSA算法硬件实现的关键技术的基本思想.通过这些技术,可以极大增加算法的运行效率.     

一类临界增长拟线性椭圆Dirichlet问题的非平凡解

本文对 中有界区域Ω上临界增长拟线性椭圆型方程 的Dirichlet问题,在满足一定的条件下,证明了非平凡广义解的存在性。