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Theoretical study of ZnO adsorption and bonding on Al_2O_3(0001) surface

science china(Physics,Mechanics & Astronomy) 2004年第6期47卷 664-675页

作者： LI Yanrong1,YANG Chun1,2,XUE Weidong1,LI Jinshan3 & LIU Yonghua3 1.institute of Microelectronics and Solid State Electronics,university of Electronic science and Technol- ogy of china,chengdu 610054,china 2.institute of mathematics and software science,sichuan normal university,chengdu 610068,china 3.institute of Chemical Materials,china Academy of Engineering Physics,Mianyang 621000,china institute of Microelectronics and Solid State Electronics University of Electronic Science and Technology of China Chengdu 610054 China institute of mathematics and software science Sichuan Normal University Chengdu 610068 China institute of Chemical Materials China Academy of Engineering Physics Mianyang 621000 China

ZnO adsorption on sapphire (0001) surface is theoretically calculated by using a plane wave ultrasoft pseudo-potential method based on ab initio molecular dynamics. The results reveal that the surface relaxation in the first layer Al-O is reduced, even eliminated after the surface adsorption of ZnO, and the chemical bonding energy is 434.3(±38.6) kJ·mol?1. The chemical bond of ZnO (0.185 ± 0.01 nm) has a 30° angle away from the adjacent Al-O bond, and the stable chemical adsorption position of the Zn is deflected from the surface O-hexagonal symmetry with an angle of about 30°. The analysis of the atomic populations, density of state and bonding electronic density before and after the adsorption indicates that the chemical bond formed by the O2 of the ZnO ? and the surface Al3+ has a strong ionic bonding characteristic, while the chemical bond formed by the Zn2+ and the surface O2 has an obvious covalent characteristic, which ? comes mainly from the hybridization of the Zn 4s and the O 2p and partially from that of the Zn 3d and the O 2p.

关键词： α-Al2O3 (0001) ZnO ab initio molecular dynamics chemical adsorption density of states

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The Bass-Quillen problem on a class of local rings with weak global dimension two

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science china mathematics 2009年第1期52卷 94-108页

作者： WANG FangGui institute of mathematics and software science, sichuan normal university, chengdu 610068, china institute of mathematics and software science Sichuan Normal University Chengdu 610068 China

Let (R, m) be a local GCD domain. R is called a U 2 ring if there is an element u ∈ m ? m2 such that R/(u) is a valuation domain and R u is a Bézout domain. In this case u is called a normal element of R. In this paper we prove that if R is a U 2 ring, then R and R[x] are coherent; moreover, if R has a normal element u and dim(R/(u)) = 1, then every finitely generated projective module over R[X] is free.

关键词： weak global dimension local domain projective free 13C10 13D05 13G05

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SYSTEM OF GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS ON PRODUCT FC-SPACES

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Acta Mathematica Scientia 2007年第3期27卷 522-534页

作者：丁协平 College of mathematics and software science Sichuan Normal University

By applying a maximal element theorem on product FC-space due to author, some new equilibrium existence theorems for generalized games with fuzzy constraint correspondences are proved in FC-spaces. By using these equilibrium existence theorems, some new existence theorems of solutions for the system of generalized vector quasi-equilibrium problems are established in noncompact product FC-spaces. These results improve and generalize some recent results in literature to product FC-spaces without any convexity structure.

关键词： Maximal element generalized game equilibrium system of generalized vector quasi-equilibrium problems FC-spaces

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The complete principal divisor lattices

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science china mathematics 2010年第8期53卷 2159-2172页

作者： WANG XuePing & QU XiaoBing College of mathematics and software science,sichuan normal university,chengdu 610066,china 1. College of mathematics and software science Sichuan Normal University Chengdu 610066 China

In this paper,we introduce a concept of principal divisor lattice and describe the structure of its *** first give a necessary and sufficient condition for the existence of irredundant join irreducible decompositions in complete principal divisor distributive lattices,and prove that the complete lower continuous,principal divisor lattices have irredundant join irreducible *** the end,we show the descriptions of lattices that have unique(***) irredundant join irreducible decompositions in complete lower continuous principal divisor lattices.

关键词： complete lattice principal divisor lattice distributive lattice irredundant join irreducible decomposition

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A novel adaptive V-BLAST algorithm based on subspace tracking and Hermitian matrix perturbation theorem

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science china(Information sciences) 2012年第2期55卷 322-336页

作者： LV WangYong1,2,WANG HuiQi1,MA Hong1 & ZHOU YongDao1 1College of mathematics,sichuan university,chengdu 610065,china 2College of mathematics and software science,sichuan normal university,chengdu 610068,china 1. College of mathematics Sichuan University Chengdu 610065 China2. College of Mathematics and Software Science Sichuan Normal University Chengdu 610068 China

A novel vertical Bell laboratories layered space-time(V-BLAST)system with adaptive successive interference cancellation(SIC)detector based on subspace tracking(SST)and Hermitian matrix perturbation theorem is proposed in this paper,and the corresponding optimal symbol detection order operation is ***,asymptotic limit theorems for the detectors are *** final simulation results verify that the symbol error probability(SEP)performance,the immunity to channel estimation errors and the algorithm convergence rate are superior to that of the conventional V-BLAST detection algorithm when channel estimation errors exist.

关键词： successive interference cancellation subspace tracking multiple-input multiple-output channel estimation error

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Some basic inequalities in higher dimensional non-Euclid space

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science china mathematics 2007年第3期50卷 423-438页

作者： Ding-hua YANG College of mathematics and software sciences, sichuan normal university, chengdu 610066, china chengdu institute of Computer Applications, Chinese Academy of sciences, chengdu 610041, china College of mathematics and software sciences Sichuan Normal UniversityChengdu 610066 China

In this paper, the concept of a finite mass-points system ΣN(H(A))(N > n) being in a sphere in an n-dimensional hyperbolic space H n and a finite mass-points system ΣN(S(A))(N > n) being in a hyperplane in an n-dimensional spherical space S n is introduced, then, the rank of the Cayley-Menger matrix-ΛN(H) (or a-ΛN(S)) of the finite mass-points system ΣN(S(A)) (or ΣN(S(A))) in an n-dimensional hyperbolic space H n (or spherical space S n) is no more than n + 2 when ΣN(H(A))(N > n) (or ΣN(S(A))(N > n)) are in a sphere (or hyperplane). On the one hand, the Yang-Zhang’s inequalities, the Neuberg-Pedoe’s inequalities and the inequality of the metric addition in an n-dimensional hyperbolic space H n and in an n-dimensional spherical space S n are established by the method of characteristic roots. These are basic inequalities in hyperbolic geometry and spherical geometry. On the other hand, some relative problems and conjectures are brought.

关键词： higher dimensional Euclid space simplex volume radius of circumscribed sphere metric addition Yang-Zhang’s inequality Neuberg-Pedoe’s inequality 51K05

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The fundamental theory of abstract majorization inequalities

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science china mathematics 2009年第10期52卷 2287-2308页

作者： YANG DingHua College of mathematics and software sciences, sichuan normal university, chengdu 610066, chinaAbstract College of mathematics and software sciences Sichuan Normal University Chengdu 610066 China

Using the axiomatic method, abstract concepts such as abstract mean, abstract convex function and abstract majorization are proposed. They are the generalizations of concepts of mean, convex function and majorization, respectively. Through the logical deduction, the fundamental theorems about abstract majorization inequalities are established as follows: for arbitrary abstract mean Σ and $ \Sigma ' $ and abstract ∑ ? $ \Sigma ' $ strict convex function f(x) on the interval I, if x i , y i ∈ I (i = 1, 2,..., n) satisfy that $ (x_1 ,x_2 , \ldots ,x_n ) \prec _n^\Sigma (y_1 ,y_2 , \ldots ,y_n ) $ then $ \Sigma ' $ {f(x 1), f(x 2),..., f(x n )} ? $ \Sigma ' $ {f(y 1), f(y 2),..., f(y n )}. This class of inequalities extends and generalizes the fundamental theorem of majorization inequalities. Moreover, concepts such as abstract vector mean are proposed, the fundamental theorems about abstract majorization inequalities are generalized to n-dimensional vector space. The fundamental theorem of majorization inequalities about the abstract vector mean are established as follows: for arbitrary symmetrical convex set $ \mathcal{S} \subset \mathbb{R}^n $ , and n-variable abstract symmetrical $ \overline \Sigma $ ? $ \Sigma ' $ strict convex function $ \phi (\bar x) $ on $ \mathcal{S} $ , if $ \bar x,\bar y \in \mathcal{S} $ , satisfy $ \bar x \prec _n^\Sigma \bar y $ , then $ \phi (\bar x) \geqslant \phi (\bar y) $ ; if vector group $ \bar x_i ,\bar y_i \in \mathcal{S}(i = 1,2, \ldots ,m) $ satisfy $ \{ \bar x_1 ,\bar x_2 , \ldots ,\bar x_m \} \prec _n^{\bar \Sigma } \{ \bar y_1 ,\bar y_2 , \ldots ,\bar y_m \} $ , then $ \Sigma '\{ \phi (\bar x_1 ),\phi (\bar x_2 ), \ldots ,\phi (\bar x_m )\} \geqslant \Sigma '\{ \phi (\bar y_1 ),\phi (\bar y_2 ), \ldots ,\phi (\bar y_m )\} $ .

关键词： abstract mean abstract convex function abstract majorization abstract majorization inequality 26A51 26B25 39B62 52A01 60E15

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Completely regular paracompact reflection of locales

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science china mathematics 2006年第6期49卷 820-826页

作者： HE Wei & LUO Maokang Department of mathematics, Nanjing normal university, Nanjing 210097, china Department of mathematics, sichuan university, chengdu 610064, china Department of mathematics Nanjing Normal University Nanjing 210097 China Department of mathematics Sichuan University Chengdu 610064 China

We give an explicit construction of the completely regular paracompact reflection pL of a completely regular locale L described as a sublocale of the Stone-tech compactification βL of L.

关键词： completely regular paracompact locale, nucleus.

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Image space analysis for variational inequalities with cone constraints and applications to traffic equilibria

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science china mathematics 2012年第4期55卷 851-868页

作者： LI Jun 1,& HUANG NanJing 2 1 College of mathematics and Information,china West normal university,Nanchong 637009,china 2 Department of mathematics,sichuan university,chengdu 610064,china 1. College of mathematics and Information China West Normal University Nanchong 637009 China2. Department of Mathematics Sichuan University Chengdu 610064 China

In this paper,the image space analysis (for short,ISA) is employed to investigate variational in- equalities (for short,VI) with cone *** separation for VI with cone constraints is characterized by using the normal cone to a regularization of the image,and saddle points of the generalized Lagrangian func- ***-type necessary and sufficient optimality conditions for VI with cone constraints are presented by using a separation *** functions and weak sharpness for VI with cone constraints are also investi- ***,the obtained results are applied to standard and time-dependent traffic equilibria introduced by Daniele,Maugeri and Oettli.

关键词： variational inequality image space analysis linear separation necessary and sufficient optimalitycondition traffic equilibrium

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TRANSIENT QUEUE SIZE DISTRIBUTION SOLUTION OF GEOM/G/1 QUEUE WITH FEEDBACK-A RECURSIVE METHOD

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Journal of Systems science & Complexity 2009年第2期22卷 303-312页

作者： Chuanyi LUO Yinghui TANG Cailiang LI Department of Economic mathematics Southwestern University of Finance and Economics Chengdu 610074China. School of mathematics and software science Sichuan Normal University Chengdu 610066 China. Department of Information and Computer science Chengdu Electron-Mechanical College Chengdu 610031China.

This paper considers the Geom/G/1 queueing model with feedback according to a late arrival system with delayed access （LASDA）. Using recursive method, this paper studies the transient property of the queue size from the initial state N（0＋） = i. Some new results about the recursive expression of the transient queue size distribution at any epoch n＋ and the recursive formulae of the equilibrium distribution are obtained. Furthermore, the recursive formulae of the equilibrium queue size distribution at epoch n-, and n are obtained, too. The important relations between stationary queue size distributions at different epochs are discovered （being different from the relations given in M/G/I queueing system）. The model discussed in this paper can be widely applied in all kinds of communications and computer network.

关键词： Discrete time queue equilibrium distribution feedback recursive expression transient distribution.

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