作者机构：
[Qi, Liqun] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China.;[Wang, Fei] Hunan City Univ, Dept Math, Yiyang, Hunan, Peoples R China.;[Wang, Yiju] Qufu Normal Univ, Sch Operat Res & Management Sci, Rizhao 276800, Shandong, Peoples R 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, Yan-Ping
作者机构：
[Pan, Qing-Lin; Li, Wen-Bin; He, Yun-Bin; Xiao, Yan-Ping; Liu, Xiao-Yan] Cent S Univ, Sch Mat Sci & Engn, Changsha 410083, Peoples R China.;[Pan, Qing-Lin] Minist Educ, Key Lab Nonferrous Mat Sci & Engn, Changsha 410083, Peoples R China.;[Li, Wen-Bin] Hunan City Univ, Sch Civil Engn, Yiyang 413000, Peoples R China.
通讯机构：
[Xiao, Yan-Ping] Cent S Univ, Sch Mat Sci & Engn, Changsha 410083, Peoples R China.
关键词：
A. Non-ferrous metals and alloys;E. Corrosion;F. Microstructure
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：
Multimedia Tools and Applications,2016年75(23):15601-15617 ISSN：1380-7501
通讯作者：
Zhang, Yudong
作者机构：
[Yang, Gelan] Hunan City Univ, Sch Informat Sci & Engn, Yiyang 413000, Peoples R China.;[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.
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.
摘要：
This study aimed at developing a portable multi-channel turbidity system (21 cm in length, 15.5 cm in width and 11.5 cm in depth) by real-time loop-mediated isothermal amplification (LAMP) method for rapid detection of pathogens. The developed system herein includes temperature control unit, photoelectric detection unit, turbidity calibration unit, power management unit, human machine unit, communication unit and ARM-based microcontroller. The coefficient of variation for eight channels is less than 0.25% in noise analysis. Legionella bacteria (LEG) and H7 subtype virus (H7) were successively detected by the designed and developed system within 60 minutes. Moreover, its specificity for LEG is satisfactory and its sensitivity for H7 is 10 copies/mL. Besides, this system for point-of-care diagnosis allows a rapid, small size, low cost, and automatic detection with the characteristics of high-efficiency, excellent stability and high uniformity.
期刊：
Journal of Electronic Imaging,2012年21(1):013014- ISSN：1017-9909
通讯作者：
Wu, Yue
作者机构：
[Yue Wu; Joseph P. Noonan] Tufts Univ, Dept Elect & Comp Engn, Medford, MA 02155 USA.;[Gelan Yang; Huixia Jin] Hunan City Univ Yiyang, Dept Comp Sci, Hunan 413000, Peoples R China.
通讯机构：
[Wu, Yue] Tufts Univ, Dept Elect & Comp Engn, Medford, MA 02155 USA.
摘要：
Chaos maps and chaotic systems have been proved to be useful and effective for cryptography. In our study, the two-dimensional logistic map with complicated basin structures and attractors are first used for image encryption. The proposed method adopts the classic framework of the permutation-substitution network in cryptography and thus ensures both confusion and diffusion properties for a secure cipher. The proposed method is able to encrypt an intelligible image into a random-like one from the statistical point of view and the human visual system point of view. Extensive simulation results using test images from the USC-SIPI image database demonstrate the effectiveness and robustness of the proposed method. Security analysis results of using both the conventional and the most recent tests show that the encryption quality of the proposed method reaches or excels the current state-of-the-art methods. Similar encryption ideas can be applied to digital data in other formats (e.g., digital audio and video). We also publish the cipher MATLAB open-source-code under the web page https://sites.google.com/site/tuftsyuewu/source-code. (c) 2012 SPIE and IS&T. [DOI: 10.1117/1.JEI.21.1.013014]
关键词：
Finite-time global synchronization;Complex network;Markovian jump;Feedback control;Stochastic noises
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.
期刊：
Communications in Nonlinear Science and Numerical Simulation,2011年16(8):3097-3106 ISSN：1007-5704
通讯作者：
Zhang, Zai-yun
作者机构：
[Zhang Zaiyun; Miao Xiujin] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China.;[Li Yunxiang] Hunan City Univ, Dept Math, Yiyang 413000, Hunan, Peoples R China.;[Liu Zhenhai] Guangxi Univ Nationalities Nanning, Sch Math & Comp Sci, Guangxi 530006, Peoples R 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.
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：
Journal of Mathematical Analysis and Applications,2015年428(1):587-604 ISSN：0022-247X
通讯作者：
Chu, Yu-Ming
作者机构：
[Chu, Yu-Ming; Yang, Zhen-Hang] 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, Yu-Ming] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China.
关键词：
Quotient of power series;Piecewise monotonicity;Hypergeometric function;Landen 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.
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.
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 Qing-lin
作者机构：
[Pan Qinglin; Li Wenbin; Xiao Yanping; Liu Xiaoyan; He Yunbin] Cent S Univ, Sch Mat Sci & Engn, Changsha 410083, Hunan, Peoples R China.;[Li Wenbin] Hunan City Univ, Sch Civil Engn, Yiyang 413000, Peoples R China.
通讯机构：
[Pan Qing-lin] 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.
摘要：
A novel water-compatible microporous and mesoporous hyper-cross-linked resin modified with phenolic hydroxyl group (named as GQ-03) was synthesized to remove aniline in aqueous solution as compared with XAD-4. The maximum adsorption capacity of GQ-03 emerged at the molecular state for both aniline and p-cresol while the pH dependency trend of aniline adsorbed onto XAD-4 was accordant with the dissociation curve of aniline. The ionic strength influenced the adsorption obviously. The pseudo-first-order rate equation could describe the adsorption process of aniline onto GQ-03 in two stages while this equation could characterize the entire adsorption process of XAD-4. The adsorption isotherms could be correlated to the Freundlich model, higher K-F and n values for GQ-03 than XAD-4. The breakthrough capacity and the total adsorption capacity of GQ-03 and XAD-4 was up to 47.2 mg mL(-1) and 28.3 mg mL(-1), 271.7 mg mL(-1) and 115.6 mg mL(-1), respectively. The size matching between the pore diameter of GQ-03 and the molecular size of aniline, and hydrogen bonding between GQ-03 and aniline resulted in the larger adsorption capacity. Crown Copyright (C) 2012 Published by Elsevier B.V. All rights reserved.
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.
