随机导数的等价定义

讨论了随机导数，并给出和证明了随机可导的等价条件ＺＱＭ和     

Respective roles of short-and long-range interactions in protein folding

A new method was presented to discuss the respective roles of short- and long-range interactions in protein folding. It‘s based on an off-lattice model, which is also being called as toy model. Simulated annealing algorithm was used to search its native conformation. When it is applied to analysis proteins lagt and laho, we find that helical segment catmot fold into native conformation without the influence of long-range interactions. That‘s to say that long-range interactions are the main determinants in protein folding.     

Synthesis and crystal structure of tetranuclear zinc benzoate

A tetranuclear zinc benzoate Zr4O(C6H5CO2)6 was synthesized and characterized by X-ray single crystal determination. It crystallizes in cubic, space group Ia-3d. Its crystal cell is very large, α=4.10063(18)nm, V=68.953(5)nm^3 and Z=48. The structure is composed of discrete Zr4O(C6H5CO2)6 molecules. In each molecule, four zinc atoms are held together by a central oxygen atom, which results in the formation of a regular tetrahedron. All benzoate ligands coordinate to zinc atoms in a bidentate bridging mode. Each zinc atom is in a slightly distorted tetrahedral geometry, coordinated by three benzoate oxygen atoms and the central oxygen atom. The intermolecular interactions result in the formation of a three-dimensional supramolecular framework, with non-intersecting parallel channels.     

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.     

明胶-十二烷基硫酸钠复配体系表面活性的研究

对明胶－十二烷基硫酸钠(SDS)复配体系,研究了SDS浓度、明胶浓度、明胶种类及分子量对其表面活性的影响。实验结果表明,随着SDS浓度的增加,体系的表面张力降低,并在其变化曲线中有一“平台”区域,同时体系的乳化力增大,其乳化力顺序为纯SDS溶液>水解皮明胶－SDS>水解骨明胶－SDS>骨明胶－SDS>皮明胶－SDS体系;各体系的起泡力及其稳定性亦随之增大。而明胶浓度的增加导致了各明胶－SDS体系表面张力的增大,且明胶浓度对大分子明胶体系的影响较之小分子明胶体系要大;明胶浓度的增加降低了体系的泡沫稳定性;但明胶浓度及其种类、分子量对体系的乳化力影响不大。     

一个非线性电路模型的混沌态特性分析

对非线性系统进行分析时,可能出现测量结果为混沌态,以一个非线性电路模型为例。分析混沌态的几率密度并提出“赝温度”的新概念,以表征混沌态的赝随机变化的剧烈程度。从而为非线性系统的混沌态进行“乱中有序”的定量描述提供了一种新方法。     

模拟退火算法和推广的与时间无关的噪声算法

本文首先介绍了模拟退火算法,给出了它的物理和数学解释.另外首次对文献[5]中提出的推广的与时间无关的噪声算法(TINA)进行了严格的理论讨论,说明了当参数α>0 5时算法依概率收敛到一个全局极值点;而当α=0 5时,随机动力系统可能发生分支现象.     

Application of stochastic method to optimum design of energy-efficient induction motors with a target of LCC

For an energy-efficient induction machine, the life-cycle cost (LCC) usually is the most important index to the consumer. With this target, the optimization design of a motor is a complex nonlinear problem with constraints. To solve the problem, the authors introduce a united random algorithm. At first, the problem is divided into two parts, the optimal rotor slots and the optimization of other dimensions. Before optimizing the rotor slots with genetic algorithm ( GA), the second part is solved with TABU algorithm to simplify the problem. The numerical results showed that this method is better than the method using a traditional algorithm.     

随机约束线性回归模型参数估计的影响分析

讨论了带随机约束的线性回归模型的影响分析及强度影响的探测问题,利用数据删除法,导 单点剔除模型下参数的混合估计与原模型下对应估计的相互关系,并利用Ｃｏｏｋ统计量、Ｗｅｌｓｃｈ－ｋｕｈ统计量和协方差比统计量,分别给出了剔降单个数据点对参数估计的影响度量和协方差比通过数据模拟列子主明了此方法的有效性。     

跳跃连续时间SV模型建模及实证研究

仅包括跳跃或仅包括随机波动的模型对于股价和收益分布的描述不是很理想.研究了收益和波动中同时具有跳跃因子的连续时间随机波动模型.使用具有跳跃的连续时间随机波动模型分别对1996～1997年和2002～2004年两个时期我国股票市场的波动和跳跃进行分析,用MCMC算法估计模型的参数,结果表明,近年来我国股市的波动和跳跃较10年前有所减少.