随机变量序列收敛的若干性质

在概率论中，对Ｒ．Ｖ序列定义了四种收敛概念，本文讨论并证明了一些有关的分析性质。     

序列｛V（n）＝V（n－1）＋V（n－2）＋1｝的若干结构性质

本文主要应用文献［４］的方法，给出了序列｜Ｖ（ｎ）｜的若干新奇的恒等式及一些数论性质。     

有理真分式分解成部分分式定理及其方法

文章介绍了两个有理真分式分解成部分分式定理，依此给出分解的简捷方法。     

Isolation,purification and characterization of a new organphosphorus hydrolase OPHC2

A bacterium with the capability of degrading organphosphorus, identified as Pseudomonas pseudoaicaligenes, is isolated from OP-treated soil. The organphosphorus hydrolase OPHC2 from this bacterium has been purified and characterized. OPHC2 has optimum activity for the reaction at 65℃ and pH 9.0 with methyl parathion as a substrate, it also shows good thermal and pH stability. Most metal ions and chemicals have no effect on the activity of OPHC2. The analyses of nucleotide sequence encoding OPHC2 and amino acid sequence of OPHC2 show that there are lower homologies with those of organphosphorus hydrolase reported in GenBank.     

Cloning and roles of goldfish maternal factor β-Catenin cDNA in embryonic development

Interaction between nucleus and cytoplasm has been focused in the field of animal embryonic development, in which study of maternal factors is required positively. β-Catenin, an important maternal factor in early embryogenesis, has been analyzed in its expression pattern and functions in this paper. We have cloned goldfish β-Catenin cDNA gene and compared it with zebrafish β-Catenin cDNA. High homology was found in cDNA and in amino acid sequences between them, 93% (2227/2384 bp) and 98.5% (768/780 aa) respectively. The expression pattern of β-Catenin by in situ hybridization and the roles of β-Catenin on embryonic development by co-injection of anti-sense RNA and reporter gene, EGFP have been investigated in the whole process of goldfish embryonic development. The results suggest that β-Catenin presents dynamic distribution, mainly locates at body axis, dorsal tissues, head and tail structures after being fertilized. The loss of β-Catenin activity would cause serious destruction of embryo in dorsal tissues and in anteroposterior axes, and leads embryos to die before larva get hatched.     

T型介观空腔结构电子输运性质的研究

利用格林函数方法计算了T型介观空腔结构的电子传输特性,分别运用递归格林函数和全格子格林函数技术给出体系的总格林函数,导出T型介现空腔结构的电导方程．计算结果表明：格林函数方法可以非常方便地应用到介观空腔结构电子传输性质的研究中．由于空腔的存在,使原来平台结构的传输系数出现了复杂的传输谱结构．     

Science Letters：On stochastic optimal control of partially observable nonlinear quasi Hamiltonian systems

A stochastic optimal control strategy for partially observable nonlinear quasi Hamiltonian systems is proposed. The optimal control forces consist of two parts. The first part is determined by the conditions under which the stochastic optimal control problem of a partially observable nonlinear system is converted into that of a completely observable linear system. The second part is determined by solving the dynamical programming equation derived by applying the stochastic averaging method and stochastic dynamical programming principle to the completely observable linear control system. The response of the optimally controlled quasi Hamiltonian system is predicted by solving the averaged Fokker-Planck-Kolmogorov equation associated with the optimally controlled completely observable linear system and solving the Riccati equation for the estimated error of system states. An example is given to illustrate the procedure and effectiveness of the proposed control strategy.     

含季节性虚拟变量的GM(1,1)模型及其应用

针对GM（1，1）模型难以准确预测季节性时间序列的问题，本文将季节性虚拟变量作为灰作用量引入传统GM（1，1）模型中，提出了含季节性虚拟变量的GM（1，1）模型（简记为GMSD（1，1））.在GMSD（1，1）模型定义型和白化型的基础上，推导了GMSD（1，1，x⁽¹⁾）模型、GMSD（1，1，x⁽⁰⁾）模型、GMSD（1，1，b）模型、GMSD（1，1，exp）模型、GMSD（1，1，C）模型等五种派生型GMSD（1，1）模型，构建了季节性虚拟变量GM（1，1）模型群.同时利用粒子群算法对GMSD（1，1）模型和GMSD（1，1，exp）模型中的解析式进行最优化求解.最后以中国水力发电量的季度数据为例，验证了含季节性虚拟变量的GM（1，1）模型及其派生模型的有效性和优越性.结果表明：相较于传统GM（1，1）模型，引入季节性虚拟变量的GMSD（1，1）模型及其派生模型更能准确地描述系统特征序列的季节性波动和周期性变化特征.