保等价部分变换半群的变种半群上的正则元

在现有的保等价部分变换半群的基础上,引入了一个新的运算,得出保等价部分变换半群的变种半群的概念,利用格林关系及幂等元的正则性,讨论了这类半群中元素的正则性,给出了保等价部分变换半群的变种半群中一个元是正则元的充要条件     

The BMO L space and Riesz transforms associated with Schrödinger operators

Let L =△ ＋ V be a SchrSdinger operator in Rd, d ≥ 3, where the nonnegative potential V belongs to the reverse HSlder class Sd. We establish the BMOL-boundedness of Riesz transforms З/ЗxiL-1/2, and give the Fefferman-Stein type decomposition of BMOL functions.     

一个数学期望的几种求解方法

利用概率论方法、测度变换方法、偏微分方程的变量代换法、Green函数法、Fourier变换法,给出了一个期望E(e-r(T-t)(ST-K)+|St=S)的几种求解方法.     

双曲空间中的等距映射

设f是H~n(n≥2)到自身的映射.若f把H~n中任意r维双曲面(1≤rn)映入r维双曲面,则f为等距映射的充要条件是f为满射.此结果肯定的回答了李保奎、姚国武最近提出的猜测.     

CALCULATIONS OF RUIN PROBABILITIES CONCERNING WITH CLAIM OCCURRENCES

In this article, we consider the perturbed classical surplus model. We study the probability that ruin occurs at each instant of claims, the probability that ruin occurs between two consecutive claims occurrences, as well as the distribution of the ruin time that lies in between two consecutive claims. We give some finite expressions depending on derivatives for Laplace transforms, which can allow computation of the probabilities concerning with claim occurrences. Further, we present some insight on the shapes of probability functions involved.     

ON BLOCK MATRICES ASSOCIATED WITH DISCRETE TRIGONOMETRIC TRANSFORMS AND THEIR USE IN THE THEORY OF WAVE PROPAGATION

Block matrices associated with discrete Trigonometric transforms （DTT＇s） arise in the mathematical modelling of several applications of wave propagation theory including discretizations of scatterers and radiators with the Method of Moments, the Boundary Element Method, and the Method of Auxiliary Sources. The DTT＇s are represented by the Fourier, Hartley, Cosine, and Sine matrices, which are unitary and offer simultaneous diagonalizations of specific matrix algebras. The main tool for the investigation of the aforementioned wave applications is the efficient inversion of such types of block matrices. To this direction, in this paper we develop an efficient algorithm for the inversion of matrices with U-diagonalizable blocks （U a fixed unitary matrix） by utilizing the U- diagonalization of each block and subsequently a similarity transformation procedure. We determine the developed method＇s computational complexity and point out its high efficiency compared to standard inversion techniques. An implementation of the algorithm in Matlab is given. Several numerical results are presented demonstrating the CPU-time efficiency and accuracy for ill-conditioned matrices of the method. The investigated matrices stem from real-world wave propagation applications.     

相关的常数红利障碍Poisson-Erlang风险模型(英文)

本文研究了有常数红利障碍的相关聚合理赔风险模型.利用Laplace变换和逆Laplace变换的方法,获得了该模型中罚金折现期望函数的积分一微分方程的解法,推广了一类积分-微分方程的求解方法.     

非线性中立双曲型偏泛函微分方程的振动性定理

本文研究了一类多滞量非线性中它双曲型偏泛函微分方程的振动性.借助广义Riccati 变换和微分不等式技巧,获得了这类方程在Robin,Dirichlet边值条件下所有解振动的若干新的充分条件.表明了其振动是由时滞量引起的.     

中药重楼及其伪品开口箭的FTIR分析与鉴别

本文采用傅里叶变换红外光谱方法(FTIR)对中药材重楼及其伪品开口箭的红外光谱进行了测试及对比分析。研究表明,重楼和开口箭各自有其独特的红外光谱特征,二者各自所包含的红外吸收峰的峰位明显不同,二者的红外光谱的峰形整体上有非常明显的区别,特别是在1650cm-1处及1405～1258cm-1范围这两个地方二者的峰形有非常明显的区别。采用傅里叶变换红外光谱方法可对重楼及其伪品开口箭加以鉴别和区分。     

基于单边傅里叶变换的非马尔科夫自发辐射研究

基于单边傅里叶变换,本文提出一种研究辐射子的自发衰减动力学演化的普适方法.利用该方法研究了辐射子处于均匀介质、理想微腔和泄露微腔中的自发辐射动力学演化问题,最后并把这种方法用于处理光子带隙材料中的辐射动力学演化问题.结果表明:辐射子的自发辐射动力学特性由局域态密度决定,可以通过调控辐射子周围的局域态密度来调控辐射子的自发辐射特性,为实现新型的光电子器件提供了理论基础.该方法不仅适用于马尔科夫热库的情况也适用于非马尔科夫热库的情况.