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science china mathematics 2007年第7期50卷 1055-1064页

作者： Bao-xing CHEN~(1+) Xie-bin CHEN~2 Ji-xiang MENG~3 Wen-jun XIAO~4 1 department of Computer science,zhangzhou teachers college,zhangzhou 3.3.00,china 2 department of mathematics and information science,zhangzhou teachers college,zhangzhou 3.3.00,china 3 college of mathematics & System science,Xinjiang University,Urumqi 830046,china 4 department of Computer science,South china University of Technology,Guangzhou 510641,china 1. department of Computer science Zhangzhou Teachers College Zhangzhou 363000 China 2. department of mathematics and information science Zhangzhou Teachers College Zhangzhou 363000 China 3. college of mathematics & System science Xinjiang University Urumqi 830046 China 4. department of Computer science South China University of Technology Guangzhou 510641 China

The double loop network(DLN)is a circulant digraph with n nodes and outdegree *** is an important topological structure of computer interconnection networks and has been widely used in the designing of local area networks and distributed *** the number n of nodes,how to construct a DLN which has minimum diameter?This problem has attracted great attention.A related and longtime unsolved problem is:for any given non-negative integer k,is there an infinite family of k-tight optimal DLN?In this paper,two main results are obtained:(1)for any k≥0,the infinite families of k-tight optimal DLN can be constructed,where the number n(k,e,c)of their nodes is a polynomial of degree 2 in e with integral coefficients containing a parameter c.(2)for any k≥0, an infinite family of singular k-tight optimal DLN can be constructed.

关键词： double loop network diameter k-tight optimal singular k-tight optimal 05C12 05C20 05C85

ON THE ORDERING OF A CLASS OF HEXAGONAL CHAINS WITH RESPECT TO MERRIFIELD-SIMMONS INDEX

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Systems science and Mathematical sciences 2000年第2期13卷 219-224页

作者： ZHANG Lianzhu (department of mathematics, zhangzhou teachers college, zhangzhou, Fujian 3.3.00, china) department of mathematics Zhangzhou Teachers College Zhangzhou Fujian 363000 China

In this paper, we give the ordering of single-corner hexagonal chains with respect to Merrifield-Simmons index. At the same time, the hexagonal chain with the second largest Merrifield-Simmons index is also determined.

关键词： Hexagonal system hexagonal chain single-corner chain linear chain independent set Merrifield-Simmons index.

Bloch constant of holomorphic mappings on the unit polydisk of C^n

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science china mathematics 2008年第4期51卷 652-659页

作者： WANG JianFei~(1+) LIU TaiShun~2 1 college of mathematics and Physics information Engineering Zhejiang Normal University Jinhua 321004,china 2 department of mathematics Huzhou teachers college Huzhou 3.3.00 china college of mathematics and Physics Information Engineering Zhejiang Normal University Jinhua China department of mathematics Huzhou Teachers College Huzhou China

In this paper,we give a definition of Bloch mappings defined in the unit polydisk D^n, which generalizes the concept of Bloch functions defined in the unit disk *** is known that Bloch theorem fails unless we have some restrictive assumption on holomorphic mappings in several complex *** shall establish the corresponding distortion theorems for subfamiliesβ(K)andβ_(loc)(K) of Bloch mappings defined in the polydisk D^n,which extend the distortion theorems of Liu and Minda to higher *** an application,we obtain lower and upper bounds of Bloch constants for various subfamilies of Bloeh mappings defined in D^*** particular,our results reduce to the classical results of Ahlfors and Landau when n=1.

关键词： Bloch constant Bloch mapping univalent ball critical point Julia lemma locally biholomorphic mapping Landau constant

ON F-z-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS

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Acta Mathematica Scientia 2011年第1期31卷 22-28页

作者：郭文彬唐娜李保军 department of mathematics University of Science and Technology of China department of mathematics Xuzhou Normal University department of mathematics Huaiyin Teachers College School of mathematics Chengdu University of Information Technology

A subgroup H of a group G is called F-z-supplemented in G if there exists a subgroup K of G, such that G = HK and H∩K≤ Z∞F（G）, where Z∞F（G） is the F-hypercenter of G. We obtain some results about the F-z-suppl... 详细信息

关键词： Finite groups local formations F-z-supplemented subgroups supersoluble groups p-nilpotent groups

Modulation on the collective response behavior by the system size in two-dimensional coupled cell systems

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science china(Physics,Mechanics & Astronomy) 2006年第3期49卷 304-312页

作者： ZHANG Jiqian1, SHEN Chuansheng1,2 & CUI Zhifeng1 1. college of Physics and Electronic information, Anhui Normal University, Wuhu 241000, china 2. department of Educational Technology, Anqing teachers college, Anqing 246011, china college of Physics Electronic information Anhui Normal University Wuhu 241000 China department of Educational Technology Anqing Teachers College Anqing 246011 China

By the intracellular calcium ionic minimal model proposed by Berridge, we investigated the collective response of two-dimensional (N×N) coupled cell systems to the external stimulation using numerical simulation methods. With a coupled intensity fixed and an appropriate coupled cell number chosen, the kinetic system size resonance was discovered. At the same time, it was found that the system size responding to the external stimulation for different coupled intensities transferred too, especially when the coupled intensity increased, the range of the corresponding system size extended. These phe- nomena illustrate that the coupled cell number and the coupled intensity can play con- structive roles in noisy coupled systems, by which the biology system would probably improve its capability to respond to the external stimulation.

关键词： cell coupling,collective response,system size resonance

An unconstrained optimization method using nonmonotone second order Goldstein's line search

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science china mathematics 2007年第10期50卷 1389-1400页

作者： Wen-yu SUN~(1+) Qun-yan ZHOU~(1,2) ~1 School of mathematics and Computer science,Nanjing Normal University,Nanjing 210097,china ~2 department of Basic Courses,Jiangsu teachers University of Technology,Changzhou 213001,china 1. School of mathematics and Computer science Nanjing Normal University Nanjing 210097 China 2. department of Basic Courses Jiangsu Teachers University of Technology Changzhou 213001 China

In this paper, an unconstrained optimization method using the nonmonotone second order Goldstein's line search is proposed. By using the negative curvature information from the Hessian,the sequence generated is shown to converge to a stationary point with the second order optimality conditions. Numerical tests on a set of standard test problems confirm the efficiency of our new method.

关键词： nonmonotone method, direction of negative curvature, line search, descent pair,unconstrained optimization

The study of energy bands in nucleus ^(102)Zr

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science china(Physics,Mechanics & Astronomy) 2010年第1期53卷 106-110页

作者： DONG GuoXiang 1,2 , YU ShaoYing 1,2,3 , LIU YanXin 1 , SHEN CaiWan 1,2,4 & DONG YongSheng 1,2,5I School of science, Huzhou teachers college, Huzhou 3.3.00, china 2 School of science and information Engineering, Zhejiang Normal University, Jinhua 321000, china 3 Institute of Theoretical Physics, Chinese Academy of sciences, Beijing 100080, china 4 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000, china 5 department of Physics, Jining teachers college, Jining 012000, china 1. School of science Huzhou Teachers College Huzhou 313000 China2. School of Science and Information Engineering Zhejiang Normal University Jinhua 321000 China3. Institute of Theoretical Physics Chinese Academy of Sciences Beijing 100080 China4. Center of Theoretical Nuclear Physics National Laboratory of Heavy Ion Accelerator of Lanzhou Lanzhou 730000 China5. Department of Physics Jining Teachers College Jining 012000 China

Theoretical calculations of the energy bands in nucleus 102 Zr are carried out by taking the projected shell model approach, which has reproduced the experimental data. In addition, by analyzing band-head energies, corresponding configurations of yrast band, quasi-particle rotational bands and side bands, we have worked out the microscopic formation mechanism of axially symmetric deformation bands: The low-excitation deformation bands are attributed to the high-j intruder states 1g 7/2 and 1h 11/2 in the N=4, 5 shells; the quasi-particles in the orbit v5/2-[532], v3/2+[411] and v3/2+[413] in particular play an important role in the deformation of 102 Zr.

关键词： projected shell model yrast band quasi-particle rotational band side band

Theory study of shapes in ^(187,189)Tl nuclei

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science china(Physics,Mechanics & Astronomy) 2009年第6期52卷 818-821页

作者： LIU YanXin1, YU ShaoYing1,2,3, SHEN CaiWan1,5 & DONG YongSheng1,2,4 1 School of science, Huzhou teachers college, Huzhou 3.3.00, china 2 School of science and information Engineering, Zhejiang Normal University, Jinhua 321000, china 3 Institute of Theoretical Physics, Chinese Academy of sciences, Beijing 100080, china 4 department of Physics, Jining teachers college, Jining 012000, china 5 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000, china School of science Huzhou Teachers College Huzhou 313000 China School of science and information Engineering Zhejiang Normal University Jinhua 321000 China Institute of Theoretical Physics Chinese Academy of Sciences Beijing 100080 China department of Physics Jining Teachers College Jining 012000 China Center of Theoretical Nuclear Physics National Laboratory of Heavy Ion Accelerator of Lanzhou Lanzhou 730000 China

The nuclear shapes of 187,189Tl were investigated theoretically in this work. The total routhian surface (TRS) calculations were performed for N=106 and 108 isotopes of thallium (Z=81). The single-particle energies were obtained from the deformed Woods-Saxon potential, with the Lipkin-Nogami (LN) treatment of pairing. It is found that the collective oblate rotation coexists with the high-K prolate rotation. Superdeformed prolate rotation is included in this calculation.

关键词： nuclear shape oblate rotation prolate rotation

Bell violation for the thermal states of an XXZ spin chain with Dzialoshiski-Moriya interaction

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science china(Physics,Mechanics & Astronomy) 2010年第11期53卷 2074-2079页

作者： MA XiaoSan 1 & WANG AnMin 2 1 School of Electric Engineering and information,Anhui University of Technology,Maanshan 243002,china 2 department of Modern Physics,University of science and Technology of china,Hefei 230026,china 1. School of Electric Engineering and information Anhui University of Technology Maanshan 243002 China2. Department of Modern Physics University of Science and Technology of China Hefei 230026 China

The effect of Dzialoshiski-Moriya (DM) interaction on the violation of Bell inequality for thermal states of interacting qubits via a two-qubit XXZ spin chain is *** results imply that the DM interaction and anisotropy taking a large positive value can enhance the Bell violation and improve the threshold temperatures of *** the comparison between the Bell violation and thermal entanglement,we find that the threshold temperatures of thermal entanglement are higher than those of the Bell *** implies that some states are entangled but the Bell inequality is not violated.

关键词： Bell violation threshold temperatures DM interaction

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广义粗集公理化的一个注记

山东大学学报（理学版） 2011年第8期46卷 114-117页

作者：马周明李进金漳州师范学院数学与信息科学系福建漳州363000 漳州师范学院粒计算重点实验室福建漳州363000

广义粗集理论是基于等价关系的粗集理论的各种拓广。本文讨论了基于一般二元关系的广义粗糙集的公理化,通过实例分析了确定二元关系的必要公理组条件,并给出了各公理组的充分条件。

关键词：粗糙集广义粗糙集公理化