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1Algorithms for computing the global infimum and minimum of a polynomial function显示文摘By catching the so-called strictly critical points,this paper presents an effective algorithm for computing the global infimum of a polynomial function.For a multivariate real polynomial f ,the algorithm in this paper is able to decide whether or not the global infimum of f is finite.In the case of f having a finite infimum,the global infimum of f can be accurately coded in the Interval Representation.Another usage of our algorithm to decide whether or not the infimum of f is attained when the global infimum of f is finite.In the design of our algorithm,Wu’s well-known method plays an important role.ShuiJing Xiao GuangXing Zeng 2012Science China Mathematics2012,55,4:5
2Mechanism of petroleum migration and accumulation in western China's superposed basins显示文摘In western China,most petroliferous basins are superposed due to their multi-periodic tectonic evolution,and the mechanisms of petroleum migration and accumulation are so complex that much more sophisticated methodologies are necessary for depiction of these mechanisms and identification of petroleum occurrences.For this purpose,in this article,a new methodology was formulated which includes:(1) vertical identification of petroleum migration and accumulation fluid dynamic systems in the superposed basins;(2) analysis of the effect of large scale regional faults and fault combinations on the fluids exchange between the vertically identified different systems;(3) analysis of petroleum migration and accumulation in each vertically identified system,and establishment of appropriate geological model of petroleum migration and accumulation for each vertically identified system.Using this methodology,the satisfactory results obtained in the Lunnan Uplift of Tarim Basin and Ludong Uplift of Jungar Basin case studies are:(1) existence of different vertical fluid dynamic systems in western China's superposed basins which are very necessary for understanding the mechanism of petroleum migration and accumulation;(2) in deep system,long-distance lateral petroleum migration and accumulation mainly take place along the long time exposed unconformity with weathered,fractured or karst reservoir rocks;(3) regional faults are the main conducts for fluids migration from deep system up to middle and/or upper systems.As to middle and/or upper systems,regional faults play a role of ''petroleum source''.Small faults within middle and/or upper systems conduct petroleum to carrier beds with less impeding force;(4) petroleum migrated from deep system vertically up to middle and/or upper systems will migrate laterally in carrier beds of these systems and accumulate to form pools near or far from faults.Kang Yonghong Li Peijun Qi Xuefeng Wen Yonghong 2012International Journal of Mining Science and Technology2012,22,2:2
3Retention of Vibrio parahaemolyticus in oyster tissues after chlorine dioxide treatment显示文摘Dapeng Wang Dandan Zhang Wanyi Chen Shuijing Yu Xianming Shi 2009International Journal of Food Microbiology2009,,1:2
4Development of a real time PCR assay for rapid detection of Vibrio parahaemolyticus from seafood显示文摘A real time PCR assay for the detection of Vibrio para-haemolyticus in seafood samples was developed using a novel specific target and a competitive internal ampli-fication control(IAC).The specificity of this assay was evaluated using 390 bacterial strains including V.parahaemolyticus,and other strains belonging to Vibrio and non-Vibrio species.The real time PCR assay un-ambiguously distinguished V.parahaemolyticus with a detection sensitivity of 4.8 fg per PCR with purified genomic DNA or 1 CFU per reaction by counting V.parahaemolyticus colonies.The assays of avoiding interference demonstrated that,even in the presence of 2.1μg genomic DNA or 107 CFU background bacteria,V.parahaemolyticus could still be accurately detected.In addition,the IAC was used to indicate false-negative results,and lower than 94 copies of IAC per reaction had no influence on the detection limit.Ninety-six sea-food samples were tested,of which 58(60.4%)were positive,including 3 false negative results.Conse-quently,the real time PCR assay is effective for the rapid detection of V.parahaemotyticus contaminants in seafood.Bin Liu Xiaohua He Wanyi Chen Shuijing Yu Chunlei Shi Xiujuan Zhou Jing Chen Dapeng Wang Xianming Shi 2012Protein & Cell2012,3,3:2
5Postconditioning with a CpG containing Oligodeoxynucleotide ameliorates myocardial infarction in a murine closed-chest model显示文摘Se-Chan Kim Shuijing Wu Xiangming Fang Jens Neumann Lars Eichhorn Grigorij Schleifer Olaf Boehm Rainer Meyer Stilla Frede Andreas Hoeft Georg Baumgarten Pascal Knuefermann 2014Life Sciences2014,,:1
6Impacts of the Yangtze River water transfer on the restoration of Lake Taihu显示文摘HU Weiping gHAl Shuijing ZHU Zeeong 2008Ecological Engineering2008,34,1:1
7Ecological Impacts of Water Transfers on Lake Taihu from the Yangtze River,China 显示文摘Shuijing Zhai Weiping Hu Zecong Zhu 2010Ecological Engineering2010,36,:1
8Increased Genomic Copy Number of DEFA1/DEFA3 Is Associated with Susceptibility to Severe Sepsis in Chinese Han Population显示文摘QiXing Chen Matthew Hakimi ShuiJing Wu Yue Jin BaoLi Cheng HaiHong Wang GuoHao Xie Tomas Ganz Rose M. Linzmeier XiangMing Fang 2010Anesthesiology2010,,6:1
9SMM-system: a mining tool to identify specific markers in Salmonella enterica显示文摘YU Shuijing LIU Weibing SHI Chunlei 2011Journal of Microbiological Methods2011,84,3:1
10The Invertibility of Rational Univariate Representations显示文摘In this paper,the so-called invertibility is introduced for rational univariate representations,and a characterization of the invertibility is given.It is shown that the rational univariate representations,obtained by both Rouillier’s approach and Wu’s method,are invertible.Moreover,the ideal created by a given rational univariate representation is defined.Some results on invertible rational univariate representations and created ideals are established.Based on these results,a new approach is presented for decomposing the radical of a zero-dimensional polynomial ideal into an intersection of maximal ideals.XIAO Shuijing ZENG Guangxing 2022Journal of Systems Science & Complexity2022,35,6:1
11Ecological im- pacts of water transfers on Lake Taihu from the Yangtze River, China 显示文摘Zhai Shuijing Hu Weiping Zhu Zecong 2010Ecological Engineering2010,36,:1
12A novel material preparation of density ceramics and fibre joining显示文摘Zhao Yingna Gao Shuijing Hou Guiqin 2012Advanced Materials Research2012,,:1
13Ecological impacts of water transfers on Lake Taihu from the Yangtze River, China显示文摘Shuijing Zhai Weiping Hu Zecong Zhu 2009Ecological Engineering2009,,4:1
14Impacts of the Yangtze River water transfer on the restoration of Lake Taihu显示文摘Weiping Hu Shuijing Zhai Zecong Zhu Hongjuan Han 2008Ecological Engineering2008,,1:1
15Equality-constrained minimization of polynomial functions显示文摘This paper investigates the equality-constrained minimization of polynomial functions. Let R be the field of real numbers, and R[x1,..., xn] the ring of polynomials over R in variables x1,..., xn. For an f ∈ R[x1,..., xn] and a finite subset H of R[x1,..., xn], denote by V(f : H) the set {f( ˉα) | ˉα∈ Rn, and h( ˉα) =0, ? h ∈ H}. We provide an effective algorithm for computing a finite set U of non-zero univariate polynomials such that the infimum inf V(f : H) of V(f : H) is a root of some polynomial in U whenever inf V(f : H) = ±∞.The strategies of this paper are decomposing a finite set of polynomials into triangular chains of polynomials and computing the so-called revised resultants. With the aid of the computer algebraic system Maple, our algorithm has been made into a general program to treat the equality-constrained minimization of polynomials with rational coefficients.XIAO ShuiJing ZENG GuangXing 2015Science China Mathematics2015,58,10:0
16Decomposing the Radicals of Polynomial Ideals by Rational Univariate Representations显示文摘In this paper,the notion of rational univariate representations with variables is introduced.Consequently,the ideals,created by given rational univariate representations with variables,are defined.One merit of these created ideals is that some of their algebraic properties can be easily decided.With the aid of the theory of valuations,some related results are established.Based on these results,a new approach is presented for decomposing the radical of a polynomial ideal into an intersection of prime ideals.XIAO Shuijing ZENG Guangxing 2023Journal of Systems Science & Complexity2023,36,6:0
17SEMI-ALGEBRAICALLY CONNECTED COMPONENTS OF MINIMUM POINTS OF A POLYNOMIAL FUNCTION显示文摘In a recent article,the authors provided an effective algorithm for both computing the global infimum of / and deciding whether or not the infimum of / is attained,where / is a multivariate polynomial over the field R of real numbers.As a complement,the authors investigate the semialgebraically connected components of minimum points of a polynomial function in this paper.For a given multivariate polynomial / over R,it is shown that the above-mentioned algorithm can find at least one point in each semi-algebraically connected component of minimum points of / whenever /has its global minimum.XIAO Shuijing ZENG Guangxing 2013Journal of Systems Science & Complexity2013,26,6:0
18Determination of the limits for multivariate rational functions显示文摘The purpose of this paper is to solve the problem of determining the limits of multivariate rational functions.It is essential to decide whether or not limxˉ→0f g=0 for two non-zero polynomials f,g∈R[x1,...,xn]with f(0,...,0)=g(0,...,0)=0.For two such polynomials f and g,we establish two necessary and sufcient conditions for the rational functionf g to have its limit 0 at the origin.Based on these theoretic results,we present an algorithm for deciding whether or not lim(x1,...,xn)→(0,...,0)f g=0,where f,g∈R[x1,...,xn]are two non-zero polynomials.The design of our algorithm involves two existing algorithms:one for computing the rational univariate representations of a complete chain of polynomials,another for catching strictly critical points in a real algebraic variety.The two algorithms are based on the well-known Wu’s method.With the aid of the computer algebraic system Maple,our algorithm has been made into a general program.In the final section of this paper,several examples are given to illustrate the efectiveness of our algorithm.XIAO ShuiJing ZENG GuangXing 2014Science China Mathematics2014,57,2:0
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