Analysis of sextupole effects on 13 function beating in the SSRF storage ring

In a storage ring, asymmetry of the 13 function with momentum deviation is the main reason for asymmetry of the dynamic aperture. This paper applies simulation method based on AT code in Matlab to investigate sensitivity of the β function beating and the tune shift to quadrupole field error with the presence of bending field error in the Shanghai Synchrotron Radiation Facility (SSRF) storage ring. Sextupole effect on the variation trend is analyzed. Dynamics of the lattice for working points close to and away from the second order structural resonance stop-band are compared. These results show that the β function beating with momentum deviation doesn't lie in the influence of the second order structural resonance stop-bands completely, but it is relevant to lattice structure.     

Extensions of the potential reduction algorithm for linear programming

In this work, we study several extensions of the potential reduction algorithm that was developed for linear programming. These extensions include choosing different potential functions, generating the analytic center of a polytope, and finding the equilibrium of a zero-sum bimatrix game.     

中国农村金融二元结构的现状及成因分析

从分析我国农村金融二元结构的现状及其对经济的影响入手，探讨了金融抑止、二元经济结构等因素对农村金融二元结构产生的影响，并从合理引导民间金融、化解金融抑止、消除城乡差距几个方面提出改善金融二元结构的对策。     

强耦合杨-米尔斯理论中的对偶超导真空

基于联络分解变量的紫外/红外分离, 提出杨-米尔斯理论真空的强耦合极限表现为一个经典场论意义下色空间的黑洞. 基于此想法, 证明在强耦合杨-米尔斯理论中存在对偶超导体解. 在量子水平下, 强耦合理论的非微扰真空可由磁荷的多粒子体系构成, 而理论的经典平均给出对偶阿贝尔-黑格斯模型. 该模型预言了与最近的格点模拟相一致的结果: 理论真空位于第一类与第二类超导体边界. 进一步通过求解对偶阿贝尔-黑格斯模型讨论了色电场的对偶迈斯纳效应.     

一种双机器人跟踪复杂边缘的协调规划方法

通过坐标变换将三维空间内的边缘跟踪问题转移到二维平面上进行研究,在边缘所在平面内描述和规划了双机器人协调跟踪边缘任务,考虑边缘的一般性,提出了基于边缘极值的分段跟踪算法,采用摆线函数的基本形式,在笛卡儿空间内,分别对双机器人的运动轨迹进行协调规划.以正弦曲线为跟踪实例进行了仿真实验,结果表明研究内容的可行性和适用性.图3,参8.     

Fatou's Lemma for Gelfand Integrable Mappings

We provide a version of Fatou's lemma for mappings taking their values in E ^*, the topological dual of a separable Banach space. The mappings are assumed to be Gelfand integrable, a difference with previous papers, which, in infinite dimensional spaces, are mainly considering Bochner integrable mappings. This result is motivated by a general equilibrium model with locations studied by Cornet and Medecin (1999) and directly applies to it, since the space E ^* considered by Cornet and Medecin is the space of (Radon) vector measures defined on a compact metric space.     

对偶半模与自反半模

本文在半模范畴中建立了对偶半模与自反半模的概念，并把模范畴中有关模的对偶性与自反性的结果完整地推广到半模范畴中。     

Anomalous Inhomogeneous Broadening of the Electronic Spectra of N,N-Dimethylaminobenzonitrile in Solutions

The anomalously large spectral inhomogeneity of the electronic bands ( 145 nm) of N,N-dimethylaminobenzonitrile in a polar solution of glycerin demonstrating intramolecular charge transfer in an excited state has been revealed and investigated. In a nonpolar solution of n-hexane there is no substantial manifestation of inhomogeneous broadening. The results obtained are explained by the influence exerted by the luminophor-molecule microsurrounding in a polar solution on the broadening of spectra and by the characteristic features associated with mobile groupings of atoms in the molecule.     

Filling analytic sets by the derivatives of -smooth bumps

If is an infinite-dimensional Banach space, with separable dual, and is an analytic set such that any point can be reached from  by a continuous path contained (except for the point ) in the interior of , then is the range of the derivative of a -smooth function on  with bounded nonempty support.

     

Local dual and poly-scale refinability

For a compactly supported function , let , be the space of all finite linear combinations of . In this paper, we consider the explicit construction of local duals of and the poly-scale refinability of functions in when is an -refinable function. We show that for any -refinable function , there exists a local dual of in for some , and that any function in is poly-scale refinable.