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A Construction of Characteristic Tilting Modules

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Acta Mathematica Sinica,English Series 2002年第1期18卷 129-136页

作者： DENG Bang Ming department of Mathematics. beijing normal university.{2.. P. H. china department of Mathematics Beijing Normal University Beijing P. R. China

Associated with each finite directed quiver Q is a quasi-hereditary algebra. the so-called twisted double of the path algebra kQ. Characteristic tilting modules over this class of quasi-hereditary algebras are constructed. Their endonorphism algebras are explicitly described. It turns out that this class of quasi-hereditary algebras is closed under taking the Ringel dual.

关键词： Quasi-hereditary algebra Characteristic tilting module Ringel dual

The Electrochemical Behavior of Bleomycin at A Co/GC Ion Implantation Modified Electrode

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Chinese Chemical Letters 1999年第10期10卷 855-856页

作者： Jing Bo HU Qi Long LI (department of Chemistry, beijing normal university,{2.) department of Chemistry Beijing Normal University Beijing 100875 China

In 0.10 mol/L HOAc-NaOAc buffer solution (pH 4.59). a sensitive reduction peak of bleomycin is obtained by linear sweep voltammetry at Co/GC ion implantation modified electrode. Its electrochemical behavior has been studied. The experiments of AES and XPS show that Co is surely implanted into the surface of GCE and improved the electrocatalytic activity.

关键词： ion implantation electrochemical behavior bleomycin

Effects of CDK4 antisense RNA on Human breast cancer cell proliferation and expression of cyclinD1,cyclinE and CDK2

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Chinese Science Bulletin 1999年第6期44卷 541-544页

作者： SANG Jianli WANG YongchaoLaboratory of Cell Biology, department of Biology, beijing normal university,{2., china Laboratory of Cell Biology Department of Biology Beijing Normal University Beijing China

The role of CDK4 in human breast cancer cell proliferation and expression of cyclinD1, cyclinE and CDK2.has been investigated using inhibition of CDK4 expression by antisense RNA. When CDK4 expression was inhibited, the rate of cell proliferation and tumorigenecity decreased *** indicates that CDK4 plays an important role in formation and development of breast tumor. The resuits of Northern blot analysis showed that the levels of cyclinD1 and CDK2.mRNAs changed slightly whereas the level of cyclinE mRNA decreased obviously. It is suggested that the expression of CDK4 is necessary for induction of cyclinE expression. Thus, inhibition of CDK4 expression affects not only the role of CDK4 itself but also the role of other genes.

关键词： CDK4 breast cancer cell antisense RNA cyclinE.

Nash Inequalities for Markov Processes in Dimension One

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Acta Mathematica Sinica,English Series 2002年第1期18卷 147-156页

作者： MAO Yong Hua department of Mathematics. beijing normal university.{2.. P. R. china department of Mathematics Beijing Normal University Beijing P. R. China

In this paper. we give characterizations of Nash inequalities for birth-death process and diffusion process on the line. As a by-product. we prove that for these processes. transience implies that the semigroups P(t) ... 详细信息

关键词： Nash inequalities Hardy type inequality Birth-death process Diffusion

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 normal university,{2., china department of Computer Science and Technology, Tsinghua university, beijing 100084, china) department of Computer Science and Technology Beijing Normal University Beijing 100875 China department of Computer Science and Technology Tsinghua University Beijing 100084 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.

A New Almost Periodic Type Solution of First Order Neutral Delay Differential Equations with Piecewise Constant Argument

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Acta Mathematica Sinica,English Series 2001年第3期17卷 403-412页

作者： Rong YUAN department of Mathematics,beijing {2. university,beijing 100875,P.R.china E-mail:ryuan@*** department of Mathematics Beijing Normal University Beijing 100875 P. R. China

In this paper,we introduce a new class of ergodic sequences,pseudo almost periodic sequences,and study the existence of pseudo almost periodic sequences to difference *** the basis of these,we investigate the existence of pseudo almost periodic solutions for neutral delay differential equations with piecewise constant argument, d/(dt)(y(t)+py(t-1))=qy(2.(t+1)/2.)+g(t,y(t),([t])).

关键词： Pseudo almost periodic solutions Pseudo almost periodic sequences Neutral delay equation Piecewise constant argument

Presenting degenerate Ringel-Hall algebras of type B

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Science china Mathematics 2012年第5期55卷 949-960页

作者： FAN LiJuan1 & ZHAO ZhongHua2.1department of Mathematics,beijing {2. university,beijing 100875,china 2.0} of Mathematics and Computer Science,School of Science,beijing university of Chemical Technology,beijing 10002.,china department of Mathematics Beijing Normal University Beijing China department of Mathematics and Computer Science School of Science Beijing University of Chemical Technology Beijing China

We give a presentation for the degenerate Ringel-Hall algebras of type B by studying the corresponding generic extension monoid *** an application,it is shown that the degenerate Ringel-Hall algebras of type B admit m... 详细信息

关键词： degenerate Ringel-Hall algebras generic extension monoid algebras Auslander-Reiten quivers Frobenius morphism

Central limit theorem for the occupation time of catalyticsuper-Brownian motion

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Chinese Science Bulletin 1998年第24期43卷 2035-2040页

作者： HONG Wenming department of Mathematics, beijing normal university,{2., china Corresponding address: Institute of Mathematics, Shantou university, Shantou 515063, china department of Mathematics Beijing Normal University Beijing China

The catalytic super_Brownian motion has been considered. If both the catalytic medium process Q and CSBM started with Lebesgue measure λ, the central limit theorem for occupation time of CSBM has been obtained in dim... 详细信息

关键词： branching rate functional Brownian collision local time catalytic super_Brownian motion occupation time central limit theorem.

Target-Scarching on Percolation

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Communications in Theoretical physics 2005年第9期44卷 431-434页

作者： YANG Shi--Jie department of physics,{2., beijing 100875, china

We study target-searching processes on a percolation, on which a hunter tracks a target by smelling odorsit emits. The odor intensity is supposed to be inversely proportional to the distance it propagates. The Monte Carlosimulation is performed on a 2.dimensional bond-percolation above the threshold. Having no idea of the location of thetarget, the hunter determines its moves only by random attempts in each direction. For lager percolation connectivityP0.90, it reveals a scaling law for the searching time versus the distance to the position of the target. The scalingexponent is dependent on the sensitivity of the hunter. For smaller P, the scaling law is broken and the prohability offinding out the target significantly reduces. The hunter seems trapped in the cluster of the percolation and can hardlyreach the goal.

关键词： percolation searching scaling law