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On Reed-Solomon Codes

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Chinese Annals of Mathematics,Series B 2011年第1期32卷 89-98页

作者： Qunying liao Institution of Mathematics and Software Science Sichuan Normal University Chengdu 610066 China

The complexity of decoding the standard Reed-Solomon code is a well-known open problem in coding *** main problem is to compute the error distance of a received *** the Weil bound for character sum estimate,Li and Wan showed that the error distance can be determined when the degree of the received word as a polynomial is *** the first part,the result of Li and Wan is *** the other hand,one of the important parameters of an error-correcting code is the *** most cases,one can only get bounds for the *** the second part,a formula for the dimension of the generalized trace Reed-Solomon codes in some cases is obtained.

关键词： Reed-Solomon code Weil bound Error distance Rational function Trace Reed-Solomon code Trace map

吕宋海峡海域黑潮对近惯性内波传播的调制作用研究

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中国海洋大学学报（自然科学版） 2025年第1期55卷 13-24页

作者：廖晓娴许行黄晓冬桑康凯中国海洋大学海洋与大气学院山东青岛266100 青岛海洋气象研究院山东青岛266034 中国海洋大学三亚海洋研究院海南三亚572025 中国海洋大学深海圈层与地球系统前沿科学中心物理海洋教育部重点实验室山东青岛266100

本文基于2010年8月—2011年4月吕宋海峡黑潮两侧潜标观测的流速数据,研究了台风引起的近惯性内波在黑潮调制下的传播特征。观测结果表明,台风“鲇鱼”经过吕宋海峡附近后,上层海洋有强烈的近惯性内波生成,最大近惯性流速达到0.4 m·s^(-... 详细信息

本文基于2010年8月—2011年4月吕宋海峡黑潮两侧潜标观测的流速数据,研究了台风引起的近惯性内波在黑潮调制下的传播特征。观测结果表明,台风“鲇鱼”经过吕宋海峡附近后,上层海洋有强烈的近惯性内波生成,最大近惯性流速达到0.4 m·s^(-1),黑潮东侧(太平洋)的最大近惯性动能比西侧(南海)的强2~3倍。这种空间差异与风能输入不一致,黑潮东侧的风功要弱于西侧。流速和剪切的功率谱分析结果显示,台风“鲇鱼”期间黑潮东侧明显的上层近惯性谱峰的频率在黑潮东侧明显低于黑潮西侧。黑潮形态变化引起的相应流场和涡度场变化能够对近惯性内波传播进行调制。射线追踪实验结果表明,黑潮的平流作用可以使近惯性内波远离源地,其流轴西侧正涡度阻碍近惯性内波传播,而其东侧负涡度可以使近惯性内波聚集。该结果所揭示的近惯性内波的传播过程和分布特征可为理解全球海洋近惯性内波的再分配问题提供思路。

关键词：吕宋海峡近惯性内波台风黑潮射线追踪

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OPTIMAL APPROXIMATE SOLUTION OF THE MATRIX EQUATION AXB = C OVER SYMMETRIC MATRICES

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Journal of Computational Mathematics 2007年第5期25卷 543-552页

作者： Anping liao Yuan Lei College of Mathematics and Econometrics Hunan University Changsha 410082 China

Let SE denote the least-squares symmetric solution set of the matrix equation A×B = C, where A, B and C are given matrices of suitable size. To find the optimal approximate solution in the set SE to a given matrix, we give a new feasible method based on the projection theorem, the generalized SVD and the canonical correction decomposition.

关键词： Least-squares solution Optimal approximate solution Generalized singular value decomposition Canonical correlation decomposition.

A MULTI-PARAMETER SPLITTING EXTRAPOLATION AND A PARALLEL ALGORITHM FOR ELLIPTIC EIGENVALUE PROBLEM

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Journal of Computational Mathematics 1998年第3期16卷 213-220页

作者： liao, XH Zhou, AH Acad Sinica Inst Syst Sci Beijing 100080 Peoples R China

The finite element solutions of elliptic eigenvalue equations are shown to have a multi-parameter asymptotic error expansion. Based on this expansion and a splitting extrapolation technique, a parallel algorithm for s... 详细信息

关键词： finite element multi-parameter error expansion parallel algorithm splitting extrapolation

Ribosomal proteins:functions beyond the ribosome

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Journal of Molecular Cell Biology 2015年第2期7卷 92-104页

作者： Xiang Zhou Wen-Juan liao Jun-Ming liao Peng liao Hua Lu Department of Biochemistry&Molecular Biology and Tulane Cancer Center Tulane University School of MedicineNew OrleansLA 70112USA

Although ribosomal proteins are known for playing an essential role in ribosome assembly and protein translation,their ribosomeindependent functions have also been greatly *** the past decade,more than a dozen of ribosomal proteins have been found to activate the tumor suppressor p53 pathway in response to ribosomal *** addition,these ribosomal proteins are involved in various physiological and pathological *** review is composed to overview the current understanding of how ribosomal stress provokes the accumulation of ribosome-free ribosomal proteins,as well as the ribosome-independent functions of ribosomal proteins in tumorigenesis,immune signaling,and *** propose the potential of applying these pieces of knowledge to the development of ribosomal stress-based cancer therapeutics.

关键词： ribosomal protein ribosomal stress p53 MDM2 cancer immunity ribosomopathy

Progress in the extraction and separation of rare earths and related metals with novel extractants: A review

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Science China(Technological Sciences) 2018年第9期61卷 1319-1328页

作者： KUANG ShengTing liao WuPing State Key Laboratory of Rare Earth Resource Utilization ERC for the Separation and Purification of REs and Thorium Changchun Institute of Applied Chemistry Chinese Academy of Sciences School of Applied Chemistry and Engineering University of Science and Technology of China

Rare earths(REs) play a key role in high-tech fields and the associated thorium is a vital element for nuclear energy. However, to be used in high-tech industry or nuclear energy, these elements must first be recovered from the deposits and purified. As solvent extraction is the main technology for the recovery and purification of the metals, the review mainly presents our recent works on the extraction and separation of tetravalent cerium cation by neutral α-aminophosphonates, the individual rare earth separation by α-aminophosphonic acids, and the continuous preparation of high-purity thorium. The extraction and separation of some other metals are also discussed.

关键词： rare earths extraction separation extractants thorium

Effects of Gap Width and Groove on the Mechanical Properties of Butt Joint Between Aluminum Alloy and Stainless Steel

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Acta Metallurgica Sinica(English Letters) 2013年第2期26卷 143-148页

作者： Honggang DONG Chuanqing liao School of Materials Science and Engineering Dalian University of Technology Shanghai Aerospace Equipments manufacturer

Butt joining of 5A02 aluminum alloy to 304 stainless steel sheets was conducted using gas tungsten arc welding process with Al-12%Si （wt.%, the same below） and Zn-15%Al flux-cored filler wires. The effects of gap width and groove in steel side on the microstructure and tensile strength of the resultant joints were investigated. For the joint made with 0 mm-wide gap and without groove in steel side, severe incomplete brazing zone occurred along the steel side and bottom surfaces, and consequently seriously deteriorated the joint strength. However, presetting 1.5 mm-wide gap or with groove in steel side could promote the wetting of molten filler metal on the laying surfaces, and then significantly enhance the resultant joint strength. Moreover, post-weld heat treatment could further improve the tensile strength of the joints. During tensile testing, the specimens from the joints made with AI-12%Si flux-cored filler wire fractured through the weld or interracial layer, but those from the heat-treated joints made with Zn-15%AI flux-cored filler wire fractured in the aluminum base metal.

关键词： Aluminum Stainless steel Arc-brazing Gap width Groove Mechanical property

Effect of Surface Topography on Stress Concentration Factor

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Chinese Journal of Mechanical Engineering 2015年第6期28卷 1141-1148页

作者： CHENG Zhengkun liao Ridong School of Mechanical Engineering Beijing Institute of Technology

Neuber rule and Arola-Ramulu model are widely used to predict the stress concentration factor of rough specimens. However, the height parameters and effective valley radius used in these two models depend strongly on the resolution of the roughness-measuring instruments and are easily introduce measuring errors. Besides, it is difficult to find a suitable parameter to characterize surface topography to quantitatively describe its effect on stress concentration factor. In order to overcome these disadvantages, profile moments are carried out to characterize surface topography, surface topography is simulated by superposing series of cosine components, the stress concentration factors of different micro cosine-shaped surface topographies are investigated by finite element analysis. In terms of micro cosine-shaped surface topography, an equation using the second profile moment to estimate the stress concentration factor is proposed, predictions for the stress concentration factor using the proposed expression are within 10% error compared with the results of finite element analysis, which are more accurate than other models. Moreover, the proposed equation is applied to the real surface topography machined by turning. Predictions for the stress concentration factor using the proposed expression are within 10% of the maximum stress concentration factors and about 5% of the effective stress concentration factors estimated from the finite element analysis for three levels of turning surface topographies under different simulated scales. The proposed model is feasible in predicting the stress concentration factors of real machined surface topographies.

关键词： surface topography profile moments stress concentration factor finite element method

An explicit method for numerical simulation of wave equations: 3D wave motion

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Earthquake Engineering and Engineering Vibration 2011年第1期10卷 13-20页

作者： Liu Heng liao Zhenpeng Department of Civil Engineering Tsinghua University Beijing 100084 China Institute of Engineering Mechanics China Earthquake Administration Harbin 150080 China Department of Shipbuilding and Ocean Engineering Harbin Engineering University Harbin 150001 China

In this paper, an explicit method is generalized from 1D and 2D models to a 3D model for numerical simulation of wave motion, and the corresponding recursion formulas are developed for 3D irregular grids. For uniform cubic grids, the approach used to establish stable formulas with 2M-order accuracy is discussed in detail, with M being a positive integer, and is illustrated by establishing second order （M=1） recursion formulas. The theoretical results presented in this paper are demonstrated through numerical testing.

关键词： 3D wave equation numerical simulation explicit recursion formula finite element method