作者机构：
[Qi, Liqun] Department of Applied Mathematics, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong;[Wang, Fei] Department of Mathematics, Hunan City University, Yiyang, Hunan, China;[Wang, Yiju] School of Operations Research and Management Sciences, Qufu Normal University, Rizhao Shandong 276800, China
通讯机构：
[Qi, Liqun] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China.
摘要：
As a global polynomial optimization problem, the best rank-one approximation to higher order tensors has extensive engineering and statistical applications. Different from traditional optimization solution methods, in this paper, we propose some Z-eigenvalue methods for solving this problem. We first propose a direct Z-eigenvalue method for this problem when the dimension is two. In multidimensional case, by a conventional descent optimization method, we may find a local minimizer of this problem. Then, by using orthogonal transformations, we convert the underlying supersymmetric tensor to a pseudo-canonical form, which has the same E-eigenvalues and some zero entries. Based upon these, we propose a direct orthogonal transformation Z-eigenvalue method for this problem in the case of order three and dimension three. In the case of order three and higher dimension, we propose a heuristic orthogonal transformation Z-eigenvalue method by improving the local minimum with the lower-dimensional Z-eigenvalue methods, and a heuristic cross-hill Z-eigenvalue method by using the two-dimensional Z-eigenvalue method to find more local minimizers. Numerical experiments show that our methods are efficient and promising.
期刊：
Materials and Design,2011年32(4):2149-2156 ISSN：0261-3069
通讯作者：
Xiao, Y.-P.(xiaoyanping204@hotmail.com)
作者机构：
[Liu, Xiao-Yan; Li, Wen-Bin; He, Yun-Bin; Xiao, Yan-Ping; Pan, Qing-Lin] School of Materials Science and Engineering, Central South University, Changsha 410083, China;[Li, Wen-Bin] School of Civil Engineering, Hunan City University, Yiyang 413000, China;[Pan, Qing-Lin] Key Laboratory of Nonferrous Materials Science and Engineering of Ministry of Education, Changsha 410083, China
通讯机构：
[Xiao, Yan-Ping] Cent S Univ, Sch Mat Sci & Engn, Changsha 410083, Peoples R China.
关键词：
Al-Zn-Mg-Cu alloy - Corrosion behaviour - E. Corrosion - Exfoliation corrosion - F. Microstructure - Grain boundary precipitate - Intergranular corrosion - Loss of strength - Nonferrous metals and alloys - Optical microscopes - Retrogression and reaging - Transmission electron microscope
摘要：
Influence of retrogression and re-aging treatment on the microstructure, strength, exfoliation corrosion, inter-granular corrosion and stress corrosion cracking of an Al-Zn-Mg-Cu alloy has been investigated by means of optical microscope (OM), transmission electron microscope (TEM) and electrochemical impedance spectroscopy (EIS). The results show that retrogression and re-aging treatment can increase the size and the distribution discontinuity of the grain boundary precipitates, and lead to the increase of the corrosion resistance without the loss of strength and ductility. In addition, the analysis of electrochemical impedance spectroscopy shows that retrogression and re-aging treatment can enhance the resistance to exfoliation corrosion. Crown Copyright (C) 2010 Published by Elsevier Ltd. All rights reserved.
期刊：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2008年53(5):1096-1107 ISSN：0018-9286
通讯作者：
Ni, Q.(niqfs@nuaa.edu.cn)
作者机构：
[Qi, Liqun] Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, Hong Kong;[Wang, Fei] Department of Mathematics, Hunan City University, Yiyang, Hunan 413000, China;[Ni, Qin] Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
通讯机构：
[Yang, Ronghua] Hunan Univ, State Key Lab Chemo Biosensing & Chemometr, Changsha 410082, Hunan, Peoples R China.
摘要：
We report that the hydrogen-bonding pattern in a molecular beacon can be replaced by metal-dependent pairs of Hg(2+) and DNA thymine ( T) bases. A molecular beacon based on T-Hg(2+)-T exhibits a lower background signal and higher thermostability than regular molecular beacons.
期刊：
Multimedia Tools and Applications,2016年75(23):15601-15617 ISSN：1380-7501
通讯作者：
Zhang, YD
作者机构：
[Zhang, Yudong; Wang, Shuihua; Ji, Genlin] Nanjing Normal Univ, Sch Comp Sci & Technol, Nanjing 210023, Jiangsu, Peoples R China.;[Zhang, Yudong; Feng, Chunmei; Wang, Qiong; Yang, Jiquan] Jiangsu Key Lab 3D Printing Equipment & Mfg, Nanjing 210042, Jiangsu, Peoples R China.;[Dong, Zhengchao] Columbia Univ, Translat Imaging Div, New York, NY 10032 USA.;[Dong, Zhengchao] Columbia Univ, MRI Unit, New York, NY 10032 USA.;[Dong, Zhengchao] New York State Psychiat Inst & Hosp, New York, NY 10032 USA.
通讯机构：
[Zhang, Yudong] Nanjing Normal Univ, Sch Comp Sci & Technol, Nanjing 210023, Jiangsu, Peoples R China.;[Zhang, Yudong] Jiangsu Key Lab 3D Printing Equipment & Mfg, Nanjing 210042, Jiangsu, Peoples R China.
期刊：
Computer Methods in Applied Mechanics and Engineering,2015年295:219-239 ISSN：0045-7825
通讯作者：
Liew, K. M.
作者机构：
[Zhang, L. W.] College of Information Science and Technology, Shanghai Ocean University, Shanghai, China;[Liew, K. M.] City Uni. of H.K. Shenzhen Res. Ins. Bui., Nanshan District, Shenzhen, China;[Liew, K. M.] Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon, Hong Kong
通讯机构：
[Liew, K. M.] City Univ Hong Kong, Dept Architecture & Civil Engn, Kowloon, Hong Kong, Peoples R China.
摘要：
An improved moving least-squares (IMLS) approximation for the field variables is proposed for geometrically nonlinear large deformation analysis of functionally graded carbon nanotube (FG-CNT) reinforced composite quadrilateral plates. The plate considered is of moderate thickness and, hence, the first-order shear deformation theory (FSDT) and Von Karman assumption are adopted to incorporate the transverse shear strains, rotary inertia and moderate rotations. The CNTs are assumed to be uniaxially aligned in the axial direction and functionally graded in the plate thickness direction. The discrete nonlinear governing equation is derived based on the IMLS-Ritz method. The modified Newton-Raphson method combined with the arc-length iterative algorithm is employed to solve the nonlinear deformation of the FG-CNT reinforced composite quadrilateral plates. Improvements in computational efficiency and elimination of shear and membrane locking are achieved using a stabilized conforming nodal integration scheme to evaluate the system's bending stiffness. Through detailed parametric studies, CNT distribution, CNTs volume fraction, aspect ratio and thickness-to-width ratio and different boundary conditions are demonstrated to effect significantly on the large deflection behaviors of the quadrilateral FG-CNT reinforced composite plates. (C) 2015 Elsevier B.V. All rights reserved.
期刊：
Nonlinear Analysis, Theory, Methods and Applications,2010年73(7):2221-2229 ISSN：0362-546X
通讯作者：
Li, YX
作者机构：
[Li, Yunxiang] Department of Mathematics, Central South University, Changsha, Hunan 410075, China;[Li, Yunxiang] Department of Mathematics, Hunan City University, Yiyang, Hunan 413000, China;[Liu, Zhenhai] School of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, Guangxi 530006, China
通讯机构：
[Li, Yunxiang] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.
摘要：
We consider a mathematical model which describes the frictional contact between a deformable body and a foundation. The process is quasistatic, the material is assumed to be viscoelastic with long memory and the frictional contact is modelled with subdifferential boundary conditions. The mechanical damage of the material is described by the damage function, which is modelled by a nonlinear partial differential equation. We derive the variational formulation of the problem, which is a coupled system of a hemivariational inequality and a parabolic equation. Then we prove the existence of a unique weak solution to the model. The proof is based on arguments of abstract stationary inclusion and a fixed point theorem. (C) 2010 Elsevier Ltd. All rights reserved.
期刊：
Industrial and Engineering Chemistry Research,2011年50(19):10936-10942 ISSN：0888-5885
通讯作者：
Yang, YQ
作者机构：
[Wang, Weiyan; Peng, Huizou; Wang, Feng; Yang, Yunquan; Luo, Hean] School of Chemical Engineering, Xiangtan University, Xiangtan City, Hunan 411105, China;[Wang, Feng] Department of Chemical and Environment Engineering, Hunan City University, Yiyang, 413000, China
关键词：
Active site - Amorphous catalysts - Catalyst surfaces - Chemical reduction - Clear fuels - European regulation - Hydrodeoxygenation - Surface area
期刊：
Communications in Nonlinear Science and Numerical Simulation,2011年16(8):3097-3106 ISSN：1007-5704
通讯作者：
Zhang, Z.-Y.(zhangzaiyun1226@126.com)
作者机构：
[Liu Zhenhai] School of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, 530006 Guangxi, China;[Miao Xiujin; Zhang Zaiyun] School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410075, China;[Li Yunxiang] Department of Mathematics, Hunan City University, Yiyang, Hunan 413000, China
通讯机构：
[Zhang, Zai-yun] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China.
关键词：
Exact solutions;NLSE with Kerr law nonlinearity;Modified trigonometric function series method (MTFSM)
摘要：
In this paper, the modified trigonometric function series method is employed to solve the perturbed nonlinear Schrodinger’s equation (NLSE) with Kerr law nonlinearity. Exact traveling wave solutions are obtained.
作者机构：
[Huang, Manhong; Lin, Li; Chen, Donghui; Zheng, Wei; Sun, Zhe] School of Environmental Science and Engineering, Donghua University, Shanghai 201620, China;[Lin, Li; Long, Liping] School of Chemical and Environmental Engineering, Hunan City University, Yiyang 413000, China
期刊：
Journal of Luminescence,2013年139:40-46 ISSN：0022-2313
通讯作者：
Long, L.(llping401@163.com)
作者机构：
[Long, Liping; Zhan, Youwen; Xie, Dan; Wang, Jiaoliang] College of Chemistry and Environment Engineering, Hunan City University, Yiyang, Hunan 413000, China
通讯机构：
[Long, Liping] Hunan City Univ, Coll Chem & Environm Engn, Yiyang 413000, Hunan, Peoples R China.
期刊：
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY,2008年59(1):171-190 ISSN：0340-6253
通讯作者：
Deng, HY
作者机构：
[Chen, Shubo] Hunan City Univ, Dept Math, Yiyang 413000, Hunan, Peoples R China.;[Deng, Hanyuan] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China.
通讯机构：
[Deng, Hanyuan] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China.
摘要：
The Hosoya index and the Merrifield-Simmons index of a graph are defined as the total numbers of its matchings and its independent sets, respectively. In this paper, we characterize the unicyclic graphs with extremal Hosoya indices and Merrifield-Simmons indices, respectively.
期刊：
ACS Applied Materials and Interfaces,2015年7(11):6211-6219 ISSN：1944-8244
通讯作者：
Zheng, Jing
作者机构：
[Liu, Changhui] Department of Chemistry and Environmental Engineering, Hunan City University, Yiyang, China;[Xiao, Yue; Zhang, Zhehua; Bai, Junhui; Li, Yinhui; Liu, Changhui; Tan, Weihong; Zheng, Jing; Yang, Ronghua] State Key Laboratory of Chemo/Biosensing and Chemometrics, College of Chemistry and Chemical Engineering, Hunan University, Changsha, China;[Wu, Cuichen; Tan, Weihong] Department of Chemistry, UF Genetics Institute, University of Florida, Gainesville, FL, United States;[Yang, Ronghua] School of Chemistry and Biological Engineering, Changsha University of Science and Technology, Changsha, China
作者机构：
[Mao, Huanyu; Wang, Xin] School of Information Engineering, Zhejiang Textile and Fashion College, Ningbo, Zhejiang, China;[Wang, Xin; Fang, Jian-an] College of Information Science and Technology, Donghua University, Shanghai, China;[Dai, Anding] School of Mathematics and Computer Science, Hunan City University, Yiyang, Hunan, China
关键词：
Finite time - Global synchronization - Linear feedback controllers - Markovian jumps - Matrix theory - Stochastic analysis - Stochastic noise - Transition rates
摘要：
This paper presents a framework for finite-time global synchronization of Markovian jump complex networks (MJCNs) with partially unknown transition rates, time-delays and stochastic noises. Several criteria for finite-time global synchronization are given by using the stochastic analysis techniques and matrix theory. These criteria provide a feasible approach to design linear feedback controller and to compute finite-time of global synchronization for the addressed MJCNs. Four numerical examples are given to demonstrate the effectiveness of the theoretical results.
摘要：
In this paper, we study the dynamical behavior of positive solution for a system of a rational third-order difference equation Xn+1 = Xn-2/B + Yn-2Yn-1Y2, Yn+1 = Yn-2/A + Xn-2Xn-1Xn, n = 0,1, ..., where A, B is an element of (0,infinity), X-2, X-1, X-0 is an element of (0,infinity); Y-2, Y-1, Y-0 is an element of (0,infinity)
期刊：
Chemical Engineering Journal,2012年191:171-176 ISSN：1385-8947
通讯作者：
Li, AM
作者机构：
[Fu, Lichun; Xiao, Guqing; Li, Aimin] State Key Laboratory of Pollution Control and Resource Reuse, School of the Environment, Nanjing University, Nanjing 210093, China;[Xiao, Guqing] College of Chemistry and Environmental Engineering, Hunan City University, Yiyang 413000, China
通讯机构：
[Li, Aimin] Nanjing Univ, Sch Environm, State Key Lab Pollut Control & Resource Reuse, Nanjing 210093, Jiangsu, Peoples R China.
摘要：
A novel hyper-cross-linked polymeric adsorbent modified with acetylaniline as the cross-linked bridge (denoted GQ-02) was synthesized for the enhanced removal of bisphenol A (BPA) from aqueous solution. Its chemical structure and pore structure were characterized by infrared spectroscopy and surface area analysis. Results showed that the adsorption capacity of BPA onto GQ-02 was larger than that of the commercial resins NDA-150, H103, NDA-88, NDA-99, and XAD-4 due to the cross-linked bridge of acetylaniline uploaded on GQ-02 resin. The solution pH had no significant effect on the adsorption capacity until it was higher than 6.39. The adsorption rate of GQ-02 was greater than that of H103 because of the longer cross-linked bridge between two benzene rings. The adsorption isotherms could be correlated to the Langmuir equation. More favorable adsorption of BPA onto GQ-02 than H103 was further demonstrated by thermodynamic analysis. Nearly 100% regeneration efficiency for GQ-02 was achieved by 80% ethanol and 0.5 mol/L NaOH. Crown Copyright (C) 2012 Published by Elsevier B.V. All rights reserved.
摘要：
Conventional decoupling approaches usually employ first-order reliability method to deal with probabilistic constraints in a reliability-based design optimization problem. In first-order reliability method, constraint functions are transformed into a standard normal space. Extra non-linearity introduced by the non-normal-to-normal transformation may increase the error in reliability analysis and then result in the reliability-based design optimization analysis with insufficient accuracy. In this article, a decoupling approach is proposed to provide an alternative tool for the reliability-based design optimization problems. To improve accuracy, the reliability analysis is performed by first-order asymptotic integration method without any extra non-linearity transformation. To achieve high efficiency, an approximate technique of reliability analysis is given to avoid calculating time-consuming performance function. Two numerical examples and an application of practical laptop structural design are presented to validate the effectiveness of the proposed approach.
作者机构：
[Song Yingqing; Yang Xiaoping] School of Science, Nanjing University of Science and Technology;[Liu Zhenghai] Department of Mathematics, Changsha University of Electrical Power
摘要：
The aim of this paper is to get the decomposition of distributional derivatives of functions with bounded variation in the framework of Carnot-Caratheodory spaces (C-C spaces in brievity) in which the vector fields are of Carnot type. For this purpose the approximate continuity of BV functions is discussed first, then approximate differentials of L~1 functions are defined in the case that vector fields are of Carnot type and finally the decomposition Xu = ▽u·L~n + X~su is proved, where u ∈ BV_X(Ω) and ▽u denotes the approximate differential of u.
摘要：
A novel fluorescent probe was synthesized and studied. Fluorescent probe 1 undergoes a unique Pi induced hydrolytic reaction in DMSO- HEPES at physiological pH that produces a colorimetric change associated with a 76 nm red-shift in the UV-vis absorption maximum and up to a 210-fold enhancement in the fluorescence intensity. It has successfully been used to stain and record microscopy images of HeLa cells. Moreover, the mechanistic proposal that these spectroscopic changes are associated with the reaction of Pi and probe 1 to form 2-(2-hydroxyphenyl)benzothiazole gains support from the results of mass spectrometry studied.
