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| 1 | MODELLING AND STABILITY ANALYSIS OF POPULATION GROWTH WITH SPATIAL DIFFUSION显示文摘In recent years, population growth models with spatial diffusion have beenextensively studied by many authors (for example, see [1-5]). In this paper, a populationgrowth model is considered with a discrete age-dependence and spatial diffusion, and isinvestigated in a semigroup framework. The spectral properties of the population oper-ator are given. On the basis of such spectral consideration, the asymptotic behaviourof the semigroup generated by the population operator is obtained. Finally, a nonlinearpopulation growth model is considered and its stability is analyzed. | W.L.CHAN FENG Dexing Department of Mathematice,the Chinese University of Hong Kong,Shatin,N.T,Hong Kong Institute oj Systems Science, Academia Sinica, Beijing 100080, China | 1993 | Systems Science and Mathematical Sciences1993，6，4： | 10 |
| 2 | Real Banach * Algebras | Bingren Li Institute of Mathematics,Academy of Mathematics and Systems Sciences,Chinese Academy of Sciences,Beijing 100080,P.R.ChinaDepartment of Mathematics,Chinese University of Hong Kong,Hong Kong,P.R.ChinaPingkwan Tam Department of Mathematics,Chinese University of Hong Kong,Shatin,N.T.,Hong Kong,P.R.China | 2000 | Acta Mathematica Sinica,English Series2000，16，3： | 3 |
| 3 | Approximation bounds for quadratic maximization and max-cut problems with semidefinite programming relaxation显示文摘In this paper,we consider a class of quadratic maximization problems.For a subclass of the problems,we show that the SDP relaxation approach yields an approximation solution with the ratio is dependent on the data of the problem with α being a uniform lower bound.In light of this new bound,we show that the actual worst-case performance ratio of the SDP relaxation approach (with the triangle inequalities added) is at least α + δd if every weight is strictly positive,where δd > 0 is a constant depending on the problem dimension and data. | Da-chuan XU~(1+) Shu-zhong ZHANG~2 1 Department of Applied Mathematics,Beijing University of Technology,Beijing 100022,China 2 Department of Systems Engineering and Engineering Management,The Chinese University of Hong Kong,Shatin,Hong Kong,China | 2007 | Science China Mathematics2007，50，11： | 3 |
| 4 | Approximation algorithms for indefinite complex quadratic maximization problems显示文摘In this paper,we consider the following indefinite complex quadratic maximization problem: maximize zHQz,subject to zk ∈ C and zkm = 1,k = 1,...,n,where Q is a Hermitian matrix with trQ = 0,z ∈ Cn is the decision vector,and m 3.An (1/log n) approximation algorithm is presented for such problem.Furthermore,we consider the above problem where the objective matrix Q is in bilinear form,in which case a 0.7118 cos mπ 2approximation algorithm can be constructed.In the context of quadratic optimization,various extensions and connections of the model are discussed. | HUANG Yongwei1,& ZHANG Shuzhong2 1Department of Electronic and Computer Engineering,The Hong Kong University of Science and Technology,Kowloon,Hong Kong,China 2Department of Systems Engineering and Engineering Management,The Chinese University of Hong Kong,Shatin,Hong Kong,China | 2010 | Science China Mathematics2010，53，10： | 3 |
| 5 | Research on Chinese Medicine at the Chinese University of Hong Kong显示文摘ResearchonChineseMedicineattheChineseUniversityofHongKong￥P.P.H.But(DepartmentofBiologyandChineseMedicinalMaterialResearchCen... | P. P. H. But(Department of Biology and Chinese Medicinal Material Research Centre,The Chinese University of Hong Kong, Shatin, N. T., Hong Kong) | 1997 | Chinese Journal of Integrative Medicine1997，3，1： | 2 |
| 6 | Formation of bulk ferromagnetic nanostructured Fe_(40)Ni_(40)P_(14)B_6 alloys by metastable liquid spinodal decomposition显示文摘Nanostructured Fe40Ni40P14B6 alloy ingots of 3―5 mm in diameter could be synthesized by a metastable liquid state spinodal decomposition method. For undercooling T> 260 K, the microstructure of the undercooled specimen had exhibited liquid state spinodal decomposition in the undercooled liquid state. The microstructure could be described as two intertwining networks with small grains dispersed in them. For undercooling T>290 K, the overall microstructure of the specimen changed into a granular morphology. The average grain sizes of the small and large grains are 30 nm and 80 nm, respectively. These prepared samples are soft magnets with saturation magnetization Bs 0.744 T. | LI Qiang1,2 1 School of Physics Science and Technology, Xinjiang University, Urumqi 830046, China 2 Department of Physics, The Chinese University of HongKong, Shatin N.T., HongKong, China | 2009 | Science China(Technological Sciences)2009，52，7： | 2 |
| 7 | Contraindicated use of cispride: impact of food and drug administration regulatory action 显示文摘 | Shatin D Wysowski DK | 2000 | JAMA2000，284，23： | 1 |
| 8 | Ambulatory use of psychotropics by employer-insured children and adolescents in a national managed care organization显示文摘 | Shatin D Drinkard CR | 2002 | Ambul Pediatr2002，2，2： | 1 |
| 9 | Leadership and Networking among Neighborhood Human Service Organizations 显示文摘 | GALASKIEWICZ J SHATIN D | 1981 | Administrative Science Quarterly1981，26，3： | 1 |
| 10 | 电子投票系统的安全问题(英文)显示文摘已有几种电子投票系统被提出以取代现有利用电话、信函等工作的投票系统。然而,许多电子投票系统或是完全或是部分地忽略了电子投票的安全问题。这已经阻碍了对电子投票的普遍接受和信任。讨论并指出了产生于电子投票中的不同安全问题。文章的工作是一次理解电子投票系统风险的尝试,而这种尝试对定义防止欺骗与滥用的安全措施是极为重要的。最后描述了一种原型系统。 | Cheng Chunhung Cheng Waiman Wong Kamfai(The Chinese University of Hong Kong,Shatin,NT,Hong Kong,PRC) | 1999 | 计算机工程1999，25，S1： | 1 |
| 11 | Incidenee of hospitalized rhabdomyolysis in patients treated with lipidlowering drugs显示文摘 | Graham DJ Staffa JA Shatin D | 2004 | JAMA2004，292，21： | 1 |
| 12 | A HYBRID POLYMER GEL AND ITS STATIC NONERGODICITY显示文摘We used a thermally reversible hybrid gel made of billions of physically jam-packed swollen thermally sensitive poly(N-isopropyl-acrylamide) chemical microgels. Laser light scattering study on a series of such hybrid gels formed at different gelling rates and temperatures revealed that the position-dependence of the scattering speckle pattern (static nonergodicity) came from large voids formed during the sol-gel transition. With a proper preparation, such a nonergodicity could be completely removed, indicating that the static nonergodicity generally observed in a gel is not intrinsic, but comes from the clustering 'island' structure formed during the gelation process. | Yue Zhao Chi Wu The Open Laboratory of Bond Selective Chemistry Department of Chemical Physics, University of Science and Technology of China Hefei 230026 China Department of Chemistry The Chinese University of Hong Kong Shatin, N.T., Hong Kong China | 2002 | Chinese Journal of Polymer Science2002，20，3： | 1 |
| 13 | Postmarketing surveillance of medications and pregnancy outcomes:clarithromycin and birth malformations显示文摘 | Drinkard CR Shatin D Clouse J | | 0，，07： | 1 |
| 14 | Incidence of hospitalized rhabdomyolysts in patients treated with lipid-lowering drugs显示文摘 | Graham DJ Staffa JA Shatin D | 2004 | JAMA2004，292，21： | 1 |
| 15 | Sociosychotherapeutic approach to the treatment of aphasic patients显示文摘 | Aroson M Shatin L Cook JC | 1956 | J Speech Hear Disord1956，21，： | 1 |
| 16 | Incidence of hospitalized rhabdomyolysis in patients treated with lipid-lowering drugs显示文摘 | Graham DJ Staffa JA Shatin D | 2004 | JAMA2004，292，21： | 1 |
| 17 | Morita Equivalence for Factorisable Semigroups | Yu Qun CHEN Department of Mathematics,South China Normal University,Guangzhou 510631,P.R.China E-mail:yqchen@scnu.edu.cnK.P.SHUM Department of Mathematics,The Chinese University of Hong Kong,Shatin,N.T.,Hong Kong E-mail:kpshum@math.cuhk.edu.hk | 2001 | Acta Mathematica Sinica,English Series2001，17，3： | 1 |
| 18 | Finite element analysis for general elastic multi-structures显示文摘A finite element method is introduced to solve the general elastic multi-structure problem, in which the displacements on bodies, the longitudinal displacements on plates and the longitudinal displacements on beams are discretized using conforming linear elements, the rotational angles on beams are discretized using conforming elements of second order, the transverse displacements on plates and beams are discretized by the Morley elements and the Hermite elements of third order, respectively. The generalized Korn's inequality is established on related nonconforming element spaces, which implies the unique solvability of the finite element method. Finally, the optimal error estimate in the energy norm is derived for the method. | HUANG Jianguo, SHI Zhongci & XU Yifeng Department of Mathematics, Shanghai Jiao long University, Shanghai 200240, China Division of Computational Science, E-lnstitute of Shanghai Universities, Shanghai Normal University, Shanghai 200234, China Institute of Computational Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China Department of Mathematics, Chinese University of Hong Kong, Shatin, N. T., Hong Kong, China | 2006 | Science China Mathematics2006，49，1： | 1 |
| 19 | Incidence of hospitalized rhabdomyolysis in patients treated with lipid-lowering drugs显示文摘 | Graham DJ0 Staffa JA Shatin D | 2004 | JAMA2004，292，： | 1 |
| 20 | Incidence of hospitalized rhabdomyolysis in patients treated with lipid- lowering drugs显示文摘 | Graham D J Staffa JA Shatin D | 2004 | JAMA2004，292，21： | 1 |
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