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An Improvement for GVW

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Journal of Systems Science & Complexity 2022年第1期35卷 427-436页

作者： zheng licui LI Dongmei LIU Jinwang Department of Mathematics and Computing Sciences Hunan University of Science and TechnologyXiangtan 411201China

Gao,et al.(2015)gave a simple algorithm to compute Gr?bner bases named *** can be used to compute Gr?bner bases for both ideals and syzygies at the same time,and the latter plays an important role in free resolutions in homological *** GVW algorithms the authors need to compute all the J-pairs firstly and then use GVW criterion(which refers the criterions used in GVW)to determine which one is useless or which one the authors should do *** this paper,based on the study of relations between J-pairs,the authors propose the concept of *** concept allows the authors to filter the useless J-pairs in a rather convenient ***,by using this concept,the authors may easily determine which two pairs’J-pair need not to be ***,the Gr?bner basis which the authors obtained is relatively simpler than the one in GVW.

关键词： Factor Grobner basic GVW

A New Signature-Based Algorithms for Computing Gr?bner Bases

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Journal of Systems Science & Complexity 2015年第1期28卷 210-221页

作者： zheng licui LIU Jinwang LIU Weijun LI Dongmei School of Mathematics and Statistics Central South University Department of Mathematics and Computing Sciences Hunan University of Science and Technology

Gao, Volny and Wang （2010） gave a simple criterion for signature-based algorithms to compute GrSbner bases. It gives a unified frame work for computing GrSbner bases for both ideals and syzygies, the latter is very important in free resolutions in homological algebra. Sun and Wang （2011） later generalized the GVW criterion to a more general situation （to include the F5 Algorithm）. Signature-based algorithms have become increasingly popular for computing GrSbner bases. The current paper introduces a concept of factor pairs that can be used to detect more useless J-pairs than the generalized GVW criterion, thus improving signature-based algorithms.

关键词： Factor Grobner basic signature-based.

GVW ALGORITHM OVER PRINCIPAL IDEAL DOMAINS

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Journal of Systems Science & Complexity 2013年第4期26卷 619-633页

作者： LI Dongmei LIU Jinwang LIU Weijun zheng licui Department of Mathematics and Computing Sciences Hunan University of Science and Technology Xiangtan 411201 China Department of Mathematical and Statistical Central South University Changsha 410083 China. Department of Mathematics and Computing Sciences Hunan University of Science and Technology Xiangtan 411201 China. School of Mathematical and Statistical Central South University Changsha 410083 China.

GVW algorithm was given by Gao, Wang, and Volny in computing a Grobuer bases for ideal in a polynomial ring, which is much faster and more simple than F5. In this paper, the authors generalize GVW algorithm and presen... 详细信息

关键词： Buchberger's algorithm F5 algorithm Grobner basis GVW algorithm principal ideal domain.

New Results on Equivalence of Multivariate Polynomial Matrices

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Journal of Systems Science & Complexity 2024年

作者： GUAN Jiancheng LIU Jinwang zheng licui WU Tao LIU Jie School of Mathematics and Computing Science Hunan University of Science and Technology

This paper investigates equivalence of square multivariate polynomial matrices with the determinant being some power of a univariate irreducible *** authors give a necessary and sufficient condition for this *** the authors present an algorithm to reduce a class of multivariate polynomial matrices to their Smith forms.

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S-多项式的新算法

系统科学与数学 2012年第8期32卷 950-956页

作者：刘金旺郑丽翠湖南科技大学数学与计算科学学院湘潭411201

GVW算法在Grbner基的理论与计算中是非常重要与有效的.文章引入一种新的S-多项式,利用GVW算法中的"top-约化"来约化S-多项式,进而给出同时计算理想的Grbner基及理想合冲模的首项的Grbner基的一种新算法,并且得到了一些有趣的结果.

关键词： Grobner基 GVW算法 S-多项式

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神经理想的Gröbner基与典范形式集

系统科学与数学 2024年第5期44卷 1303-1310页

作者：郑丽翠张艺耀刘金旺湖南科技大学数学与计算科学学院湘潭411201

神经环和神经理想这一概念是由Curto等(2013)提出的,它们是用于整理和分析神经编码中复杂组合信息的一种有用的代数方法.文章主要研究了神经理想的典范形式集与Gröbner基之间的关系,并根据Gröbner基中的元素给出了3种新类型的RF-关系.

关键词：神经理想 Gröbner基典范形式集

How the Antimicrobial Peptides Kill Bacteria:Computational Physics Insights

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Communications in Computational Physics 2012年第3期11卷 709-725页

作者： licui Chen Lianghui Gao Weihai Fang Leonardo Golubovic College of Chemistry Beijing Normal UniversityBeijing 100875China Physics Department West Virginia UniversityMorgantownWest Virginia 26506-6315USA

In the present article,coarse grained Dissipative Particle Dynamics simulation with implementation of electrostatic interactions is developed in constant pressure and surface tension ensemble to elucidate how the antimicrobial peptidemolecules affect bilayer cellmembrane structure and kill *** find that peptideswith different chemical-physical properties exhibit differentmembrane obstructing *** molecules can destroy vital functions of the affected bacteria by translocating across their membranes via worm-holes,or by associating with membrane lipids to form hydrophilic cores trapped inside the hydrophobic domain of the *** the latter model,the affected membranes are strongly buckled,in accord with very recent experimental observations[*** et al.,***.,5(2010),pp.280-285].

关键词： Antimicrobial peptide bilayer membrane dissipative particle dynamics

Electrochemical Hydrogen Storage Performances of the Si Added La-Mg-Ni-based A_2B_7-type Electrode Alloys for Ni/MH Battery Application

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Journal of Wuhan University of Technology(Materials Science) 2015年第1期30卷 166-174页

作者：张羊换 YANG Tai CHEN licui XU Chao REN Huiping ZHAO Dongliang Key Laboratory of Integrated Exploitation of Baiyun Obo Multi-Metal Resources Inner Mongolia University of Science and Technology Department of Functional Material Research Central Iron and Steel Research Institute

The casting and annealing technologies were applied to fabricate the La0.8Mg0.2Ni3.3Co0.2Six （x = 0-0.2） electrode alloys. The effects of Si content and annealing temperature on the structure and electrochemical performances of the alloys were investigated systematically. The analyses of XRD and SEM show that all the alloys possess a multiphase structure, involving two main phases （La, Mg）2Ni7 and LaNi5 as well as a residual phase LaNi3. The addition of Si brings on an evident increase in the LaNi5 phase and a decrease in the （La, Mg）2Ni7 phase, without altering the main phase component of the alloy, which also makes the lattice constants and cell volumes of the alloy enlarged. Likewise, the annealing treatment engenders the same action on the lattice constants and cell volumes as adding Si. Simultaneously, it gives rise to the variation of the phase abundance and the coarsening of the alloy grains. The electrochemical measurements indicate that the addition of Si ameliorates the cycle stability of the as-cast and annealed alloys significantly, but impairs their discharge capacities clearly. Similarly, the annealing treatment makes a positive contribution to the cycle stability of the alloy evidently, and the discharge capacity of the alloy shows a maximum value with annealing temperature rising. Furthermore, the high rate discharge ability （HR） first augments and then declines with the rising of Si content and annealing temperature.

关键词： A2B7-type electrode alloy Si addition annealing temperature structure electrochemical performances

BLOSSOMS： Building Lightweight Optimized Sensor Systems on aMassive Scale

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Journal of Computer Science & Technology 2005年第1期20卷 105-117页

作者： WenGao LionelM.Ni Zhi-WeiXu S.C.Cheung licui QiongLuo InstituteofComputingTechnology ChineseAcademyofSciencesBeijing100080P.R.China DepartmentofComputerScience TheHongKongUniversityofScienceandTechnologyClearWaterBayKowloonHongKongSpecialAdministrativeRegionP.R.China

As a joint effort between the Chinese Academy of Sciences and the Hong KongUniversity of Science and Technology, the BLOSSOMS sensor network project aims to identify researchissues at all levels from practical applications down to the design of sensor nodes. In thisproject, a heterogeneous sensor array including different types of application-dependent sensors aswell as monitoring sensors and intruding sensors are being developed. Application-dependentpower-aware communication protocols are also being studied for communications among sensor nodes. Anontology-based middleware is built to relieve the burden of application developers from collecting,classifying and processing messy sensing contexts. This project is also developing a set of toolsallowing researchers to model, simulate/emulate, analyze, and monitor various functions of sensornetworks.

关键词： sensor network sensor node communication protocol middleware networksimulation network monitor