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On Reverses of the L_p-Busemann-Petty Centroid Inequality and Its Applications

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Wuhan University Journal of Natural Sciences 2010年第4期15卷 292-296页

作者： WANG Weidong1,2.1. department of mathematics, {2. Three Gorges University, Yichang 443002. Hubei, {2. 2. department of mathematics, Hubei University for Nationalities, Enshi 445000, Hubei, {2. department of mathematics China Three Gorges University Yichang Hubei China department of mathematics Hubei University for Nationalities Enshi Hubei China

In this paper,the reverse forms of the L p-Busemann-Petty centroid inequality are shown. As the applications of the reverse forms,we obtain the reverse forms of the L p-centroid-affine inequality and an upper bound of... 详细信息

关键词： convex body reverse form L p-Busemann-Petty centroid inequality L p-centroid-affine inequality isotropic constant

Stability of Plane Wave Solutions for the Ginzburg-Landau-BBM Equations (II)

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Communications in Nonlinear Science and Numerical Simulation 1999年第1期4卷 68-71页

作者： Murong JIANG (department of mathematics, {2. University, kunming 650091. china) (Graduate School of china Academy of Engineering and Physics, P.O.Box 2.01, Beijing, china) E-mail. jiangmr@*** department of mathematics Yunnan University Kunming 650091 China Graduate School of china Academy of Engineering and Physics P.O.Box 2101 Beijing China

In part (I) of this paper, the stability of plane waves for the GinzburgLandau-BBM equations has been proved. Here, the perturbation decays are obtained by using the Fourier transformation and semigroup estimates.

关键词： decay estimates semigroup the Ginzburg-Landau-BBM equations

Singular Integral Equations with Cosecant Kernel in Solutions with Singularities of High Order

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Wuhan University Journal of Natural Sciences 2005年第2期10卷 339-343页

作者： HAN Hui-li 1,2.,DU Jin-yuan 1,3 1. School of mathematics and Statistics, Wuhan University, Wuhan 430072. Hubei, china 2. School of mathematics and Computer, Ningxia University, Yinchuan 75002., Ningxia, china 3. department of mathematics, Hubei Institute for Nationalities, Enshi 445000, Hubei, china School of mathematics and Statistics Wuhan University Wuhan Hubei China School of mathematics and Computer Ningxia University Yinchuan Ningxia China department of Mathematies Hubei Institute for Nationalities Enshi Hubei China

We have discussed and solved the boundary value problem with period 2.π and the singular integral equation with kernel csc t-tv/a in solution having singularities of high order, where the smooth contour of integratio... 详细信息

关键词： boundary value problem singular integral equation the singularities of high order

The integration of methanogenesis with denitrification and anaerobic ammonium oxidation in an expanded granular sludge bed reactor

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Journal of Environmental Sciences 2003年第3期15卷 423-432页

作者： ZHANG Dai-jun 1,2.(1. department of Environmental Science, Chongqing University, Campus A, Chongqing 400044, china 2. Key Laboratory for the Southwest china Resources Exploitation and Environmental Disaster Control Engineering, Ministry of Education, china.) department of Environmental Science Chongqing University Campus A 重庆 400044

The integration of methanogenesis with denitrification and anaerobic ammonium oxidation(ANAMMOX) was studied in an expanded granular sludge bed(EGSB) reactor in this work. Experimental results from the continuous treatment of wastewater with nitrite and ammonium, which lasted for 107 days, demonstrated that wastewater with high nitrite and ammonium could be anaerobically treated in an expanded granular sludge bed reactor. More than 91% to 97% of COD were removed at up to about 3.9 g COD/(L·d) of COD volumetric loading rate. More than 97% to 100% of nitrite was denitrified at up to about 0.8 g NO -_2.N/(L·d), which is 16 times higher than that in a conventional activated sludge system with nitrification/denitrification(0.05 gN/(L·d)). No dissimilatory reduction of nitrite to ammonium occurred in the process. However, maximum of about 40% ammonium was found to be lost. Batch tests of 15 days with sludge from the reactor showed that 100% of nitrite was denitrified completely, and about 3% of ammonium was removed when only ammonium (34.3 mg/L) and nitrite(34.3 mg/L) were added into the sludge suspension medium. Furthermore, about 15% of ammonium amounts were lost with organic COD addition. It suggested that the methanogenesis in the system could enhance ANAMMOX because of intermediate hydrogen produced during methanogenesis.

关键词： methanogenesis denitrification ANAMMOX EGSB reactor

ASSESSMENT OF LOCAL INFLUENCE FOR F-TESTIN LINEAR REGRESSION MODEL

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Systems Science and Mathematical Sciences 1999年第1期12卷 33-39页

作者： SHI Lei (department of Statistics, yunnan University,{2.) 云南大学统计系云南昆明

In linear regression model, the influence on the regression coefficients has beed paid great attention and other aspects such as the influence on confidence regions have also been studied. However, influence on F-test in linear regression model received few consideration. This paper examines the local influence of small perturbations on Fstatistic. The diagnostic results permit one to check the sensitivity of F-statistic to the exact perturbations of error variance, explanatory variables and response variables. This method is applied to testing problem of transformation parameter in transformation *** are illustrated with two examples and compared with standard method.

关键词： Linear regression model local influence F-test transformation model.

A combined numerical model of three-dimensional tidal motion and sediment transport in tidal current and its application

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Acta Oceanologica Sinica 2000年第1期19卷 145-154页

作者： Dong Wenjun Bai Yuchuan Li Shisen (1. department of mathematics, Tianjin University, Tianjin 300072. {2. 2. department of Hydraulics, Tianjin University, Tianjin 300072. {2.) department of mathematics Tianjin University Tianjin 300072 China department of Hydraulics Tianjin University Tianjin 300072 China

A calculation scheme, which combines a horizontal upwind finite element method with vertical implicit differences, is used to establish a three-dimensional mathematical model of tidal motion and sediment transport in tidal current. Compared with those of the relative theoretical formula, the results are satisfactory. The model mentioned above has been applied to the water area of the Lianzhou Bay, Guangxi Province. On the basis of the analysis and comparison with the field data, it shows clearly that the model calculation results are reasonable.

关键词： Tidal current sediment transport in tidal current upwind finite element three- dimensional numerical simulation

Anisotropic effect on the vibronic reduction factors

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Chinese Science Bulletin 2006年第21期51卷 2553-2558页

作者： QIU Qing-chun1,2.& QIAO Fen1,2.1. department of Physics and IT, Medical College, Shantou University,Shantou 515041, china 2. department of Physics, Shantou University, Shantou 515063, china department of Physics and IT Medical College Shantou University Shantou China department of Physics Shantou University Shantou China

The reduction factors p and q defined by Ham in the Ee JT system and their relation 2.-p=1 have been well accepted and the concept of reduction factors is widely used in the studies of vibronic coupling. However, when the system is under the anisotropic conditions, the reduction factors and their relation will change accordingly. The first-order reduction factors p and q of Ee system were further studied using the method of unitary transformation here. The relation between p and q proposed by Ham was investigated under both conditions of the linear coupling and the anisotropic effects. The result demonstrated that the relation of 2.-p=1 was only correct for the linear vibronic coupling, but not correct when the anisotropic effect was considered. This result suggested that the anisotropic effect influence considerably the reduction factors, and hence the physical properties of materials. Our method could be also applied to other JT systems, especially the highly symmetric JT systems involving C60 molecules.

关键词：电子振动耦合声子交迭 Jahn-Teller效应各向异性

Effect of an impurity on 3-electron quantum dots in magnetic fields

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Science china(Physics,Mechanics & Astronomy) 2004年第5期47卷 521-530页

作者： LIU Yimin1,2. HUANG Gangming1 & BAO Chengguang1 1. department of Physics, Zhongshan University, Guangzhou 5102.5, china 2. department of Physics, Shaoguan University, Shaoguan 512.05, china department of Physics Zhongshan University Guangzhou China department of Physics Shaoguan University Shaoguan China

The ground-state property of a 2.dimensional 3-electron quantum dot (QD) subjected to an external magnetic fieldB and affected by an impurity is studied. The impurity is located at thez-axis by a distanced from the plane of the dot. The evolution of the angular momentumL o and the spinS o of the ground state in accordance withB andd has been calculated, and the results are summarized and plotted in a (L o,S o) diagram. The spatial distribution of the electrons (the size and the geometric features) and the optical absorption have also been investigated. The (L o S o) diagram indicates thatL o andS o may jump whend and/orB vary. It was found that, due to the constraints arising from symmetry, each symmetric geometry is accessible only to a specific group of states having specificL o andS o.

关键词： quantum dot, ground state, charged impurity, magnetic field.

Study on the two and three-parameter working stability regions of 3Y-TZP suspension

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Science china(Technological Sciences) 2006年第5期49卷 547-568页

作者： CHEN Youqiang1, 2. ZHANG Xinni3, CHEN Sha’ou3 & QI Ping3 1. department of Chemistry, Qingdao University, Qingdao 2.6071, china 2. department of Chemistry, Tsinghua University, Beijing 100084, china 3. department of Physics, Qingdao University, Qingdao 2.6071, china department of Chemistry Qingdao University Qingdao China department of Chemistry Tsinghua University Beijing China department of Physics Qingdao University Qingdao China

We determined the variation tendency of viscosity (η) at various solids load- ing (α) for 3Y-TZP suspension as a function of dispersant concentration (Cw) using vis- cosity measurement, measured the diameter of particles as a function of Cw in very dilute suspension using light scattering method, and obtained the surface features of the sedi- ment of suspension with different Cw using SEM. We also discussed the influence of the microstructure of adsorbed polymer layers on particles and their interactions in the dis- persing medium on the stability of suspension. Then two different stable states and two different unstable states for 3Y-TZP suspension were given. Accordingly, the (Cw, η), (Cw, α), and (α, η) two-parameter, and (Cw, α, η) three-parameter stability maps were con- structed. Based on the DLVO theory calculations, the dispersant concentration, particle distance (r), and interparticle potential energy (VT) maps with various solids loading for 3Y-TZP aqueous suspension were also constructed. In (Cw, r) two-parameter coordinate system, the stable motion region map for particles was established. The Cw, α, and VT,max (the highest potential energy) surface of the potential barrier map was obtained through calculation and simulation on the basis of the surfaces of Cw, r, VT maps introduced above. The (Cw, α) two-parameter stability map was then obtained from the Cw, α, VT,max map. The results showed that this theoretical map can qualitatively prove the experimentally obtained results—the existence of different dispersed states of particles in suspension system and the variation tendency of suspension stability with changing each parame- ter—were reasonable.

关键词： 3Y-TZP, suspension, stability, DLVO theory, interparticle potential energy.