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The kink-soliton and antikink-soliton in quasi-one-dimensional nonlinear monoatomic lattice

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Science china(Physics,Mechanics & Astronomy) 2005年第2期48卷 150-157页

作者： XU Quan1 & TIAN Qiang2.1. Scientific and Technological Office, Daqing Teacher College, Daqing 163712. china 2. department of Physics , {2. normal university, {2. 100875, china Scientific and Technological Office Daqing Teacher College Daqing 163712 China department of Physics Beijing Normal University Beijing 100875 China

The quasi-one-dimensional nonlinear monoatomic lattice is analyzed. The kink-soliton and antikink-soliton are presented. When the interaction of the lattice is strong in the x-direction and weak in the y-direction, the two-dimensional (2.) lattice changes to a quasi-one-dimensional lattice. Taking nearest-neighbor interaction into account, the vibration equation can be transformed into the KPI, KPII and MKP equation. Considering the cubic nonlinear potential of the vibration in the lattice, the kink-soliton solution is presented. Considering the quartic nonlinear potential and the cubic interaction potential, the kink-soliton and antikink-soliton solutions are presented.

关键词： two-dimensional nonlinear lattice, quasi-one-dimensional nonlinear lattice, kink-soliton, antikink-soliton.

Effects of enhancing p2.^(waf1) on proliferation and expression of G1 cyclins and CDKs in human breast cancer cells

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Chinese Science Bulletin 1999年第16期44卷 1489-1493页

作者： SANG Jianli, WANG Yongchao and YE Yingjiang1. Laboratory of Cell Biology , department of Biology , beijing {2. university , beijing 100875 , china 2. The Second Hospital, beijing Medical university, beijing 100044, china Laboratory of Cell Biology Department of Biology Beging Normal University Beijing China The Second Hospital Beijing Medical University Beijing China

The cyclin-dependent kinase inhibitor p2.( waf1/cip1/sdi1) is an important negative regulator in control of cell cycle. Its functions of inhibiting cancer cell growth and its effects on expression of Gl phase cyclins and related CDKs are a worthy topic for study. The plasmid expressing p2. with high level was transformed to human breast cancer cells, and the expression of p2. in cells was enhanced, then the cell growth rate, anchorage-independent growth and tu-morigenecity were tested, at the same time the expression levels of cyclinD1, CDK4,

关键词： p2.waf1 breast cancer cell cyclin CDK.

Theoretical Study on the Pyrolysis Mechanism and Kinetics of 3-Hydroxy-3-Methyl-2.Butanone

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Chinese Chemical Letters 1998年第11期9卷 0-0页

作者： Wen Lin FENG Jie Hao chen Yan WANG (department of chemistry, {2. normal university, {2. 100875) beijing normal Univ Dept Chem Beijing 100875 Peoples R China

The mechanism and kinetics for the decomposition of 3-hydroxy-3-methyl-2.butanone have been studied by using the ab initio RHF/3-2.G method. The calculated activation barrier of the reaction is 2.9.6kJ/mol which is in reasonable agreement with the experimental data (2.2.2.3kJ/mol). The calculated results show that the decomposition is a concerted process with hydrogen transferring and bond breaking via a five-membered cyclic transition state. The thermal rate constants of the decomposition are obtained by calculating microcanonical probability fluxes through transition state1.

关键词： Kinetics mechanism theoretical study rate constants

A secure multi-party computation solution to intersection problems of sets and rectangles

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Progress in Natural Science:Materials International 2006年第5期16卷 538-545页

作者： LI Shundong, DAI Yiqi, WANG Daoshun and LUO Ping (department of Computer Science and Technology, beijing {2. university, beijing 100875, china department of Computer Science and Technology, Tsinghua university, beijing 100084, china) [a]department of computer Science and Technology Beijing Normal University Beijing China [b]department of Computer Science and Technology Tsinghua University Beijing China

Secure multi-party computation (SMC) is a research focus in international cryptographic community. At present, there is no SMC solution to the intersection problem of sets. In this paper, we first propose a SMC solution to this problem. Applying Cantor encoding method to computational geometry problems, and based on the solution to set-intersection problem, we further propose solutions to points inclusion problem and intersection problem of rectangles and further prove their privacy-preserving property with widely accepted simulation paradigm. Compared with the known solutions, these new solutions are of less computational complexity and less communication complexity, and have obvious superiority in computational and communication complexity.

关键词： Cantor encoding secure multi-party computation set-intersection rectangle-intersection computational complexity.

Weighted estimates for the multilinear singular integral operators with non-smooth kernels

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Science china mathematics 2011年第3期54卷 587-602页

作者： HU GuoEn1 & LU ShanZhen2.1department of Applied mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou 450002. {2. 2.0} of mathematics, beijing normal university, beijing 100875, {2. 1. department of Applied mathematics Zhengzhou Information Science and Technology Institute Zhengzhou 450002 China2. Department of Mathematics Beijing Normal University Beijing 100875 China

In this paper, by sharp function estimates and certain weak type endpoint estimates, the authors establish some weighted norm inequalities with Ap weights for the multilinear singular integral operators with non-smoot... 详细信息

关键词： approximation to the identity weighted norm inequality singular integral operator non-smooth kernel Calderón-Zygmund decomposition

Characterization for commutators of n-dimensional fractional Hardy operators

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Science china mathematics 2007年第10期50卷 1418-1426页

作者： Zun-wei FU~(1,2. Zong-guang LIU~3 Shan-zhen LU~(1+) Hong-bin WANG~3 ~1 School of Mathematical Sciences,beijing normal {2.,beijing 100875,china ~2.department of mathematics,Linyi normal {2.,Linyi 2.6005,china ~3 department of mathematics,china {2. of Mining and Technology (beijing),beijing 100083,china 1. School of Mathematical Sciences Beijing Normal University Beijing 100875 China 2. department of mathematics Linyi Normal University Linyi 276005 China 3. department of mathematics China University of Mining and Technology (Beijing) Beijing 100083 China

In this paper,it was proved that the commutator H_(β,b)generated by an n-dimensional fractional Hardy operator and a locally integrable function b is bounded from L^(p1)(R^n)to L^(p2.(R^n)if and only if b is a CMO(R^... 详细信息

关键词： n-dimensional fractional Hardy operator, commutator, C(M)O function, homogeneous Herz space

OSCILLATORY SINGULAR INTEGRALS WITH VARIABLE ROUGH KERNEL, Ⅱ

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Analysis in Theory and Applications 2003年第1期19卷 1-13页

作者： Tang Lin and Yang Dachun (beijing normal {2., china) Tang Lin and Yang Dachun department of mathematics beijing normal {2. beijing 100875 P. R. china beijing normal {2. Beijing China department of mathematics Beijing Normal University Beijing 100875 China

Let n≥2. In this paper, the author establishes the L2.(Rx)-boundedness of some oscillatory singular integrals with variable rough kernels by means of some estimates on hyper geometric functions and confluent hyper ge... 详细信息

关键词： oscillatory singular integral variable rough kernel

N-widths on the classes of multivariate bandlimited functions

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Progress in Natural Science:Materials International 2004年第10期14卷 23-26页

作者： FANG Gensun and LONG Jingfan (department of mathematics,{2. normal university,{2.100875,china) Received January30,2.04 beijing normal Univ Dept Math Beijing 100875 Peoples R China

In this paper,the tight order on the n-widths of the classes of multivariate bandlimited functions in L p ( d ),1

关键词： n-width multivariate bandlimited function sampling theorem

Representation type of 0-Hecke algebras

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Science china mathematics 2011年第3期54卷 411-420页

作者： DENG BangMing1 & YANG GuiYu2.1department of mathematics, {2. normal university, {2. 100875, china 2.chool of Science, Shangdong university of Technology, Zibo 2.5049, china 1. department of mathematics Beijing Normal University Beijing 100875 China2. School of Science Shangdong University of Technology Zibo 255049 China

In the present paper we determine the representation type of the 0-Hecke algebra of a finite Coxeter group.

关键词： Coxeter group 0-Hecke algebra representation type