Three-Step Predictor-Corrector of Exponential Fitting Method for Nonlinear Schroedinger Equations

We develop the three-step explicit and implicit schemes of exponential fitting methods. We use the three- step explicit exponential fitting scheme to predict an approximation, then use the three-step implicit exponential fitting scheme to correct this prediction. This combination is called the three-step predictor-corrector of exponential fitting method. The three-step predictor-corrector of exponential fitting method is applied to numerically compute the coupled nonlinear Schroedinger equation and the nonlinear Schroedinger equation with varying coefficients. The numerical results show that the scheme is highly accurate.     

建国初期中国共产党执政文化资源的整合与构建

建国初期,中国共产党通过对思想意识形态的整合以及文化科学教育事业的改革与建设,构建了执政的文化资源,奠定了其执政的思想文化基础.中国共产党在建国初期整合与构建执政文化资源的工作取得了巨大成就,其经验教训,至今仍有启迪意义.     

Crystallographic report: catena‐Aqua(2,2′‐bipyrimidine)lithium(I) perchlorate

A lithium(I) coordination polymer has been formed from LiClO₄ and the 2,2′‐bipyrimidine (bpym) ligand in which each square pyramidal lithium(I) atom is coordinated in the basal plane by four nitrogen donor atoms derived from two bpym ligands and one water molecule at the apical position. These are connected into a layer structure via hydrogen‐bonding interactions involving the perchlorate anions. Copyright © 2004 John Wiley & Sons, Ltd.     

An efficient one‐pot synthesis of novel pyrimidoquinoline derivatives under microwave irradiation without catalyst

A series of pyrimidoquinoline derivatives were synthesized through one‐pot condensation of 2,6‐diaminopyrimidin‐4‐one, aldehyde and cyclic a 1,3‐dicarbonyl compound in glycol under microwave irradiation without catalyst. The protocol in the absence of catalyst has the advantage of good yield (87‐95%), short reaction time (4‐7 min) and an environmentally friendly technique.     

识别混凝土板内部缺陷的人工神经网络算法

以一维有缺陷混凝土板为研究对象，分别采用Leverberg-Marcluardt和径向基神经网络算法，对缺陷的深度与厚度进行识别，从而实现对混凝土板内部缺陷的三维重构，称为红外CT模拟．两类神经网络算法的识别结果表明：Leverberg-Marcluardt神经网络较径向基神经网络具有更好的收敛精度与计算效率．     

高等学校污水再生利用的途径与效益研究

目的探讨高等学校污水再生利用的可行性。方法以陕西某高校为例,采用类比分析法和效益分析方法。结果某高校除去部分较难处理污水,如冲厕所产生污水、厨房污水等,可用污水为2 528 m3/d,占总污水量的67%,经处理后得到可用水约2 000 m3/d,完全满足该校区1 658 m3/d杂用水量的预算。该校区如果实施污水再生利用,每年可以节省绿化、洗车等杂水费用约52.2万元,20年收益为1 044万元。其污水再生处理工艺适合采用生物接触氧化法。结论在高等学校实施污水再生利用是必要的,而且技术是可行的。     

英汉词汇搭配现象的异同比较

语言中能够独立运用的最小表义单位是词,因为词是“语言的最小的独立运用的意义单位”。对词汇搭配的研究是研究词的一个基本的重要内容,汉语和英语两种语言搭配有各自的特点,同时,二者也有共同之处。通过研究汉英词汇搭配中的某些现象,比较二者的相似与不同之处,旨在揭示英汉两种语言在语法规律以及语义范围等方面的特殊规律,对英语教学和翻译研究有一定的指导意义。     

Blind Channel Identification Based on Noisy Observation by Stochastic Approximation Method

A stochastic approximation algorithm for estimating multichannel coefficients is proposed, and the estimate is proved to converge to the true parameters a.s. up-to a constant scaling factor. The estimate is updated after receiving each new observation, so the output data need not be collected in advance. The input signal is allowed to be dependent and the observation is allowed to be corrupted by noise, but no noise statistics are used in the estimation algorithm.     

Distance riemannienne,théorème de Rademacher et inégalité de transport sur le groupe des lacets

In this Note, we shall consider the Riemannian distance on loop groups, which will be identified to one introduced by Hino and Ramirez [M. Hino, J.A. Ramirez, Small-time Gaussian behavior of symmetric diffusion semigroups, Ann. Probab. 31 (2003) 1254–1295]. A transportation cost inequality is established. To cite this article: S. Fang, J. Shao, C. R. Acad. Sci. Paris, Ser. I 341 (2005).     

有限循环群的Fuzzy子群的等价类数

有限循环群G的F子群可以有无数个．但是．若当两个F子群的水平集构成的集合相等就称其等价的话，那么其等价类数是有限的。通过研究群的合成群列、商群列以及数的因数列和极大因数列找出了有限循环群的极大F子群和F子群的等价类数的求解公式．并给出二者之间的关系式．