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Cartesian closedness of categories of completely distributive lattices

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Chinese science Bulletin 1998年第24期43卷 2059-2063页

作者： ZHANG Dexue 1 and YANG Zhongqiang 2.1. Department of mathematics, sichuan {2., chengdu 610064, china 2. Department of mathematics, Shaanxi normal {2., Xi’an 710062. china Department of mathematics Sichuan University Chengdu China Department of mathematics Shaanxi Normal University Xi’an China

The category of completely distributive lattices with Scott continuous functions is cartesian closed. Neither the category of completely distributive lattices with arbitrary union preserving mappings nor the category ... 详细信息

关键词： completely distributive lattice continuous lattice cartesian closedness.

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 {2.,chengdu 610065,china 2.ollege 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

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 {2. 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

The complete principal divisor lattices

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science china {2. 2010年第8期53卷 2159-2172页

作者： WANG XuePing & QU XiaoBing College of mathematics and software {2.,sichuan normal university,chengdu 610066,china 1. College of mathematics and software {2. 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

Theoretical study of ZnO adsorption and bonding on Al_2._3(0001) surface

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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 {2.,chengdu 610054,{2. 2.Institute of mathematics and software science,sichuan normal university,chengdu 610068,{2. 3.Institute of Chemical Materials,{2. Academy of Engineering Physics,Mianyang 62.000,{2. Institute of Microelectronics and Solid State Electronics University of Electronic Science and Technology of China Chengdu 610054 China Institute of mathematics and software {2. 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 2. and partially from that of the Zn 3d and the O 2..

关键词： α-Al2.3 (0001) ZnO ab initio molecular dynamics chemical adsorption density of states

Density functional study on enantioselective reduction of keto oxime ether with borane catalyzed by oxazaborolidine

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science china Chemistry 2006年第4期49卷 296-307页

作者： LI Ming1, ZHENG Wenxu2.& TIAN Anmin2.1. Department of Chemistry, Southwest-china normal {2., Chongqing 400715, china 2. Department of Chemistry, sichuan {2., chengdu 610064, china 1. Department of Chemistry Southwest-China Normal University Chongqing 400715 China 2. Department of Chemistry Sichuan University Chengdu 610064 China

The enantioselective reduction of keto oxime ether with borane catalyzed by oxazaborolidine is discussed by the density functional theory (DFT) method. The main intermediates and transition states for this reaction are optimized completely at the B3LYP/6-31g(d) level, and the transition states are verified by vibrational modes. As shown, the chirality-controlled steps for this re- action are the hydride transfer from borane to carbonyl carbon and oxime carbon of keto oxime ether, and the chirality for the reduced products is determined in these two reaction steps. In all examined reaction paths, the first hydride is transferred via a six-membered ring and the second hydride via a five-membered ring or a four-membered ring.

关键词： keto oxime ether, oxazaborolidine, enantioselective reduction, DFT.

Ecological Footprint and Ecological Security Evaluation in the Upper Min River Basin

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Wuhan university Journal of Natural sciences 2005年第4期10卷 641-646页

作者： TU Jian-jun 1, 2.1. School of Resources and Environment science, Southwest china {2. university, Chongqing 400715, china 2. Institute of Mountain Hazards and Environment, Chinese Academy of sciences, chengdu 610041, sichuan, china Southwest china normal {2. School of Resources and Environment Science Chongqing China (GRID:grid.263906.8) Chinese Academy of sciences Institute of Mountain Hazards and Environment Chengdu Sichuan China (GRID:grid.9227.e) (ISNI:***)

On the basis of the ecological footprint (EF) model, this paper studied theecological security in the Upper Min River Basin ecosystem. The result shows that with 2. 038 2.hm^2.er capita ecological capacity (0. 42. 2.hm^2.higher than per capita EF) ,and 165 82. hm^2.ecologysurplus , the ecosystem in Upper Min River is generally secure at present. But the arable land isoverweighed and omens an eco-security crisis. Meanwhile, problems such as low forest coverage rate,severe loss of water and soil,enlargement of arid-valley area, frequent occurrence of mountainhazards and degradation of pastures have been major threats to the eco-security of this region. Thecalculation result of ten-thousand-yuan ( RMB) GDP shows that the use of natural resources isextensive, and there will be a rapid increase tendency of EF in the future. In order to maintain thepresent eco-security, the ways of use natural resources must be improved in the Upper Min RiverBasin.

关键词： ecological security ecological footprint ecological capacity quantitativeevaluation the Upper Min River Basin

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

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science china {2. 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 {2. 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

The fundamental theory of abstract majorization inequalities

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science china {2. 2009年第10期52卷 2287-2308页

作者： YANG DingHua College of mathematics and software {2.s, sichuan normal university, chengdu 610066, chinaAbstract College of mathematics and software {2.s 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 2.A51 2.B2. 39B62 52.01 60E15