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, LQ] 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：
[ Pan, Qing-Lin ; Xiao, Yan-Ping ; He, Yun-Bin ; Li, Wen-Bin ; Liu, Xiao-Yan ] School of Materials Science and Engineering, Central South University, Changsha 410083, China;[ Pan, Qing-Lin ] Key Laboratory of Nonferrous Materials Science and Engineering of Ministry of Education, Changsha 410083, China;[ Li, Wen-Bin ] School of Civil Engineering, Hunan City University, Yiyang 413000, China
通讯机构：
[Xiao, YP] 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.
通讯机构：
[Yang, RH] 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.
作者机构：
[Ni, Qin ] Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;[ Wang, Fei ] Department of Mathematics, Hunan City University, Yiyang, Hunan 413000, China;[ Qi, Liqun ] Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, Hong Kong
摘要：
In this paper, we present an eigenvalue method for testing positive definiteness of a multivariate form. This problem plays an important role in the stability study of nonlinear autonomous systems via Lyapunov's direct method in automatic control. At first we apply the D'Andrea-Dickenstein version of the classical Macaulay formulas of the resultant to compute the symmetric hyperdeterminant of an even order supersymmetric tensor. By using the supersymmetry property, we give detailed computation procedures for the Bezoutians and specified ordering of monomials in this approach. We then use these formulas to calculate the characteristic polynomial of a fourth order three dimensional supersymmetric tensor and give an eigenvalue method for testing positive definiteness of a quartic form of three variables. Some numerical results of this method are reported.
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, Feng] Department of Chemical and Environment Engineering, Hunan City University, Yiyang, 413000, China;[Luo, Hean; Yang, Yunquan; Wang, Feng; Peng, Huizou; Wang, Weiyan] School of Chemical Engineering, Xiangtan University, Xiangtan City, Hunan 411105, China
关键词：
Active site - Amorphous catalysts - Catalyst surfaces - Chemical reduction - Clear fuels - European regulation - Hydrodeoxygenation - Surface area
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：
[Wang, Jiaoliang ; Xie, Dan ; Zhan, Youwen ; Long, Liping ] College of Chemistry and Environment Engineering, Hunan City University, Yiyang, Hunan 413000, China
通讯机构：
[Long, LP] Hunan City Univ, Coll Chem & Environm Engn, Yiyang 413000, Hunan, Peoples R China.
期刊：
Communications in Nonlinear Science & 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：
[Li Yunxiang] Department of Mathematics, Hunan City University, Yiyang, Hunan 413000, China;[Zhang Zaiyun; Miao Xiujin] School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410075, China;[Liu Zhenhai] School of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, 530006 Guangxi, China
通讯机构：
[Zhang, ZY] 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.
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：
[Deng, Hanyuan] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China.;[Chen, Shubo] Hunan City Univ, Dept Math, Yiyang 413000, Hunan, Peoples R China.
通讯机构：
[Deng, HY] 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.
作者机构：
[Sun, Zhe; Zheng, Wei; Chen, Donghui; Lin, Li; Huang, Manhong] School of Environmental Science and Engineering, Donghua University, Shanghai 201620, China;[Long, Liping; Lin, Li] School of Chemical and Environmental Engineering, Hunan City University, Yiyang 413000, China
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(00):171-176 ISSN：1385-8947
通讯作者：
Li, AM
作者机构：
[Xiao, Guqing] College of Chemistry and Environmental Engineering, Hunan City University, Yiyang 413000, China;[Li, Aimin; Xiao, Guqing; Fu, Lichun] State Key Laboratory of Pollution Control and Resource Reuse, School of the Environment, Nanjing University, Nanjing 210093, China
通讯机构：
[Li, AM] 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.;In view of the toxicity of nitrobenzene, 1,2-dichloroethane was used as solvent. The adsorption capacity of BPA on the novel adsorbent GQ-02 is larger than that of the commercial resins. GQ-02 had higher rate than H103. GQ-02 can be looked on as a promising adsorbent for BPA due to the uploaded cross-linked bridge of acetylaniline.;;► In view of the toxicity of nitrobenzene, 1,2-dichloroethane was used as solvent. ► A novel adsorbent modified with acetylaniline as the cross-linked bridge was synthesized. ► The adsorption capacity of BPA on GQ-02 was larger than that of the commercial resins. ► GQ-02 had higher rate constant than H103.
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：
[Yang, Ronghua; Zheng, Jing; Tan, Weihong; Liu, Changhui; Li, Yinhui; Bai, Junhui; Zhang, Zhehua; Xiao, Yue] State Key Laboratory of Chemo/Biosensing and Chemometrics, College of Chemistry and Chemical Engineering, Hunan University, Changsha, China;[Tan, Weihong; Wu, Cuichen] Department of Chemistry, UF Genetics Institute, University of Florida, Gainesville;[Tan, Weihong; Wu, Cuichen] FL, United States;[Yang, Ronghua] School of Chemistry and Biological Engineering, Changsha University of Science and Technology, Changsha, China;[Liu, Changhui] Department of Chemistry and Environmental Engineering, Hunan City University, Yiyang, China
作者机构：
[ Fang, Jian-an ; Wang, Xin ] College of Information Science and Technology, Donghua University, Shanghai, China;[ Dai, Anding ] School of Mathematics and Computer Science, Hunan City University, Yiyang;[ Dai, Anding ] Hunan, China;[Wang, Xin ; Mao, Huanyu ] School of Information Engineering, Zhejiang Textile and Fashion College, Ningbo;[Wang, Xin ; Mao, Huanyu ] Zhejiang, China
作者：
Li Wenbin;Pan Qinglin;Xiao Yanping;He Yunbin;Liu Xiaoyan
期刊：
Transactions of Nonferrous Metals Society of China,2011年21(10):2127-2133 ISSN：1003-6326
通讯作者：
Pan, Q.-L.(pql@mail.csu.edu.cn)
作者机构：
[Pan Qinglin; He Yunbin; Liu Xiaoyan; Li Wenbin; Xiao Yanping] School of Materials Science and Engineering, Central South University, Changsha 410083, China;[Li Wenbin] School of Civil Engineering, Hunan City University, Yiyang 413000, China
通讯机构：
[Pan, QL] Cent S Univ, Sch Mat Sci & Engn, Changsha 410083, Hunan, Peoples R China.
摘要：
The microstructural evolution and composition distribution of an Al-Zn-Cu-Mg-Sc-Zr alloy during homogenization were investigated by optical microscopy(OM),scanning electron microscopy(SEM),energy dispersive spectrometry(EDS),X-ray diffraction(XRD) and differential scanning calorimetry(DSC).The results show that severe dendritic segregation exists in Al-Zn-Cu-Mg-Sc-Zr alloy ingot.There are a lot of eutectic phases at grain boundary and the distribution of the main elements varies periodically along interdendritic region.The main eutectic phases at grain boundary are Al7Cu2Fe phase and T(Al2Mg3Zn3).The residual phases are dissolved into the matrix gradually during homogenization with increasing temperature and prolonging holding time,which can be described by a constitutive equation in exponential function.The overburnt temperature of the alloy is 473.9 ℃.The optimum parameters of homogenization are 470 ℃ and 24 h,which is consistent with the result of homogenization kinetic analysis.
期刊：
Sensors and Actuators, B: Chemical,2013年177:27-33 ISSN：0925-4005
通讯作者：
Long, LP
作者机构：
[Wang, Jiaoliang; Xie, Dan; Song, Xiaofeng; Long, Liping] College of Chemistry and Environment Engineering, Hunan City University, Yiyang, Hunan 413000, China
通讯机构：
[Long, LP] Hunan City Univ, Coll Chem & Environm Engn, Yiyang 413000, Hunan, Peoples R China.
期刊：
Proceedings of the Indian Academy of Sciences: Mathematical Sciences,2012年122(1):41-51 ISSN：0253-4142
通讯作者：
Chu, Y.-M.(chuyuming@hutc.zj.cn)
作者机构：
[SONG-LIANG QIU] Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China;[MIAO-KUN WANG] Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China;[YU-MING CHU] Department of Mathematics and Computing Science, Hunan City University, Yiyang 413000, China
通讯机构：
[Chu, YM] Hunan City Univ, Dept Math & Comp Sci, Yiyang 413000, Peoples R China.
关键词：
Neuman-Sandor mean;generalized logarithmic mean;power mean;Seiffert mean
摘要：
In this paper, we find the largest value alpha and least value beta such that the double inequality L-alpha(a,b) < M(a,b) < L-beta(a,b) holds for all a,b > 0 with a not equal b. Here, M(a,b) and L-p(a,b) are the Neuman-Sandor and p-th generalized logarithmic means of a and b, respectively.
期刊：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2015年428(1):587-604 ISSN：0022-247X
通讯作者：
Chu, YM
作者机构：
[Yang, Zhen-Hang; Chu, Yu-Ming] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China.;[Wang, Miao-Kun] Huzhou Univ, Dept Math, Huzhou 813000, Peoples R China.
通讯机构：
[Chu, YM] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China.
关键词：
Quotient of power series;Piecewise monotonicity;Hypergeometric function;Leaden inequality
摘要：
In this paper, we present the necessary and sufficient condition for the monotonicity of the quotient of power series. As applications, some gaps and misquotations in certain published articles are pointed out and corrected, and some known results involving the Landen inequalities for zero-balanced hypergeometric functions are Improved. (C) 2015 Elsevier Inc. All rights reserved.
