THE ANALYTICAL PROPERTIES FOR HOMOGENEOUS RANDOM TRANSITION FUNCTIONS

The concepts of Markov process in random environment and homogeneous random transition functions are introduced. The necessary and sufficient conditions for homogeneous random transition function are given. The main results in this article are the analytical properties, such as continuity, differentiability, random Kolmogorov backward equation and random Kolmogorov forward equation of homogeneous random transition functions.     

THE RANDOM SHIFT SET AND RANDOM SUB-SELF-SIMILAR SET

First of all the authors introduce the concepts of random sub-self-similar set and random shift set and then construct the random sub-self-similar set by a random shift set and a collection of statistical contraction operators.     

THE DECOMPOSITION OF STATE SPACE FOR MARKOV CHAIN IN RANDOM ENVIRONMENT

This paper is a continuation of [8] and [9]. The author obtains the decomposition of state space X of an Markov chain in random environment by making use of the results in [8] and [9], gives three examples, random walk in random environment, renewal process in random environment and queue process in random environment, and obtains the decompositions of the state spaces of these three special examples.     

延时评价在数学教学中的应用

数学课堂是教师与学生之间的一种数学互动．在互动中生成的内容往往很多,从而会加大课堂组织的难度。教师要提高课堂教学的有效性,除了钻研教材外,还必须充分发挥评价的作用,评价的方式有多种多样,延时评价不失为一种激发和调动学生学习积极性的一种评价形式．延时评价是指在孩子做出一件事情或说出一种想法之后,不急于对他的言行进行评价、做出结论,而且让他们处于一种自然发展的状态．     

THE BRANCHING CHAIN WITH DRIFT IN SPACE-TIME RANDOM ENVIRONMENT （I）： MODEL,MARKOV PROPERTY,MOMENTS

There are three parts in this article. In Section 1, we establish the model of branching chain with drift in space-time random environment （BCDSTRE）, i.e., the coupling of branching chain and random walk. In Section 2, we prove that any BCDSTRE must be a Markov chain in time random environment when we consider the distribution of the particles in space as a random element. In Section 3, we calculate the first-order moments and the second-order moments of BCDSTRE.     

抽象空间中非时齐马氏过程的分析理论(Ⅲ)——q过程的存在性及唯一性

<正> 本文是[1]、[2]的续篇,一切符号及定义均沿袭[1]、[2]. §1.q过程的存在性 由[1]定义4.1知,可微马氏过程之转移密度函数是q函数.[1]文主要研究的问题是:在何种条件下,马氏过程是可微的,即有转移密度函数.而本文研究的,恰是[1]之     

Enhanced Green Electrophosphorescence from Oxadiazole-Functionalized Iridium Complex-Doped Devices Using Poly（9,9-Dioctylfluorene） Instead of Poly（N-Vinylcarbazole） as a Host Matrix

Optoelectronic properties of the oxadiazole-functionalized iridium complex-doped polymer light-emitting devices （PLEDs） are demonstrated with two different polymeric host matrices at the dopant concentrations 1-8%. The devices using a blend of poly（9,9-dioctylttuorene）（PFO） and 2-（4-biphenyl）-5-（4-tert-butylphenyl）-1,3,4-oxadiazole （PBD） as a host matrix exhibited a maximum luminance efficiency of 11.3 cd/A at 17. 6 mA/cm^2. In contrast, the devices using a blend of poly（N-vinylcarbazole） （PVK） and PBD as a host matrix reveal only a peak luminance efficiency of 6.Scd/A at 4.1 mA/cm^2. The significantly enhanced electrophosphorescent emissions are observed in the devices with the PFO-PBD blend as a host matrix. This indicates that choice of polymers in the host matrices is crucial to achieve highly efficient phosphorescent dye-doped PLEDs.     

水质在线监测仪用微型分光系统的设计与分析

基于交叉非对称式切尔尼-特纳系统设计了一种宽光谱高分辨率微型分光系统,采用Zemax光学设计软件进行了光路设计、优化及像质分析后,得到了尺寸为70mm×42mm×15mm、波长范围为200~750nm、分辨率为1.5nm的分光系统,并搭建了实验光路对设计结果进行了性能验证,结果表明该系统满足了设计指标要求,具有小型化、高分辨率、结构简单、成本低等特点,可应用于水质在线自动分析仪器中进行多种水质参数的监测。     

小行星共振轨道的稳定性

研究描述小行星运动的一个映射模型. 发现在相空间的混沌海和混合区域中的轨道扩散分别遵循指数律和代数律, 而小扰动对扩散过程有不可忽视的影响. 应用到小行星轨道运动问题时,该映射的不动点的位置、稳定性以及轨道扩散的性质定性地解释了小行星在主带(特别是在与木星轨道发生一阶共振处)的分布特征.     

Scattering Noise Properties of Holographic Photopolymers by Means of Real-Time Transmittance Analysis

We propose a simplified model to analyse the temporary behaviour of transmittance for holographic photopolyreefs, based on the existing first-harmonic diffusion theory, with assumptions of constant polymerization coefficient and negligible diffusion effect for noise gratings. By applying this model to measure real-fime transmittance of our novel blue-sensitized photopolymer, the bleaching time constant of dye and polymerization rate are extracted, and the effect of the material composite on the noise property is revealed. This provides a prompt method to assess the performances of holographic photopolymers.