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Regular n-simplices in R^n with vertices in Z^(n)

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Science China math.matics 2004年第1期47卷 104-113页

作者： XIA Jianguo & QIN HourongDepartment of math.matics, Nanjing Normal University, Nanjing 210097, China (email: jgxia@***) Department of math.matics, Nanjing University, Nanjing 210093, China dept. of math. Nanjing Normal Univ. Nanjing 210097 China dept. of math. Nanjing Univ. Nanjing 210093 China

In this paper the Ⅰ and Ⅱ regular n-simplices are introduced. We prove that the sufficient and necessary conditions for existence of an Ⅰ regular n-simplex in Rn are that if n is even then n = 4m(m + 1), and if n is odd then n = 4m + 1 with that n + 1 can be expressed as a sum of two integral squares or n = 4m - 1, and that the sufficient and necessary condition for existence of a Ⅱ regular n-simplex in Rn is n = 2m2 - 1 or n = 4m(m+1)(m 6 N). The connection between regulars-simplex in Rn and combinational design is given.

关键词： regular n-simplex in Rn, quadratic form.

Asymptotic solution for EI Nino-southern oscillation of nonlinear model

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Applied math.matics(A Journal of Chinese Universities) 2008年第3期23卷 251-255页

作者： MO Jia-qi LIN Wan-tao dept. of math. Anhui Normal Univ. Wuhu 241000 China LASG Institute of Atmos. Phys. Chinese Academy of Sciences Beijing 100029 China

A class of nonlinear coupled system for EI Nino-Southern Oscillation （ENSO） model is considered. Using the asymptotic theory and method of variational iteration, the asymptotic expansion of the solution for ENSO mod... 详细信息

关键词： nonlinear asymptotic theory EI Nino-Southern Oscillation model

Asymptotic stability of solutions to the nonisentropic hydrodynamic model for semiconductors

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Applied math.matics(A Journal of Chinese Universities) 2008年第2期23卷 151-167页

作者： XU Jiang FANG Dao-yuan dept. of math. Nanjing Univ. of Aeronautics and Astronautics Nanjing 210016 China dept. of math. Zhejiang Univ. Hangzhou 310027 China

In this paper, the asymptotic stability of smooth solutions to the multidimensional nonisentropic hydrodynamic model for semiconductors is established, under the assumption that the initial data are a small perturbation of the stationary solutions for the thermal equilibrium state, whose proofs mainly depend on the basic energy methods.

关键词： asymptotic stability smooth solutions hydrodynamic model semiconductor.

On 1-rate and 2-rate multicast 3-stage Clos networks

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Applied math.matics(A Journal of Chinese Universities) 2009年第2期24卷 151-156页

作者： DOU Wen-qing YAO En-yu dept. of math. Shanghai Second Polytechnic Univ. Shanghai 201209 China dept. of math. Zhejiang Univ. Zhejiang 310027 China

The 3-stage Clos network C（n, m, r） is considered as the most basic and popular multistage interconnection network which has been widely employed for data communications and parallel computing systems. Quite a lot of efforts has been put on the research of the 3- stage Clos network. Unfortunately, very little is known for the multirate multicast Clos network which is the most complicated case. Firstly a sufficient condition for 1-rate multicast networks to be SNB is given, from which a result for 2-rate multicast networks to be WSNB can easily be gotten. Furthermore, by using a reservation-scheme routing, more specific result for 2-rate multicast networks to be WSNB can be obtained for the case of one of them exceeding 1/2.

关键词： 3-stage Clos network multirate multicast network strictly nonblocking wide-sense nonblocking

Singular integral on bounded strictly pseudoconvex domain

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Applied math.matics(A Journal of Chinese Universities) 2008年第3期23卷 273-278页

作者： GONG Ding-dong dept.of math.,Zhejiang Univ.,Hangzhou 310027,China dept.of math.Sci.,Zhejiang Sci-Tech Univ.,Hangzhou 310018,China. dept. of math. Zhejiang Univ. Hangzhou China dept. of math. Sci. Zhejiang Sci-Tech Univ. Hangzhou China

Kytmanov and Myslivets gave a special Cauchy principal value of the singular integral on the bounded strictly pseudoconvex domain with smooth boundary. By means of this Cauchy integral principal value, the corresponding singular integral and a composition formula are obtained. This composition formula is quite different from usual ones in form. As an application, the corresponding singular integral equation and the system of singular integral equations are discussed as well.

关键词： strictly pseudoconvex domain singulax integral composition formula singular integral equation

Heat flow of harmonic maps from noncompact manifolds

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Applied math.matics(A Journal of Chinese Universities) 2008年第4期23卷 431-436页

作者： WANG Meng LIU Xiao-feng dept. of math. Zhejiang Univ. Hangzhou 310027 China dept. of Appl. math. Donghua Univ. Shanghai 201620 China

The global existence of the heat flow for harmonic maps from noncompact manifolds is considered. When L^m norm of the gradient of initial data is small, the existence of a global solution is proved.

关键词： heat flow noncompact complete manifold harmonic map

ON NECESSARY AND SUFFICIENT CONDITIONS FOR DUALS OF WAVELET FRAMES

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Acta math.matica Scientia 1995年第1期15卷 6-14页

作者：张泽银王建忠 dept. of math. Hubai University Wuhan 430062 China dept. of math. Wuhan University Wuhan 430072 China

This paper is concerned with the characterization of the duals of wavelet frames of L(2)(R). The sufficient and necessary conditions for them are obtained.

关键词： WAVELET ANALYSIS FRAMES DUAL FRAMES AFFINE FRAMES TIGHT FRAMES

Global attractor for Hirota equation

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Applied math.matics(A Journal of Chinese Universities) 2008年第1期23卷 57-64页

作者： ZHANG Rui-feng GUO Bo-ling Institute of Appl. math. College of Math. and Inform. Sci. Henan Univ. Kaifeng 475001 China. Institute of Appl. phys. and Comput. math. Beijing 100088 China.

The long time behavior of solution for Hirota equation with zero order dissipation is studied. The global weak attractor for this system in Hper^k is constructed. And then by exact analysis of the energy equation, it ... 详细信息

关键词： Hirota equation a priori estimate global attractor.

ON THE TOTAL COLORING OF GRAPH G ∨H

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Acta math.matica Scientia 1996年第2期16卷 162-169页

作者：许宝刚 math. of dept. Shandong University Jinan 250100 China

The total chromatic number XT(G) of graph G is the least number of colorsassigned to VE(G) such that no adjacent or incident elements receive the same *** graphs G1,G2, the join of G1 and G2, denoted by G1∨G2, is a graph G, V(G) =V(GI)∪V(G2) and E(G) = E(G1)∪E(G2) ∪{uv | u∈(G1), v ∈ V(G2)}. In this paper, it's proved that if v(G) = v(H), both Gc and Hc contain perfect matching and one of the followings holds: (i)Δ(G) =Δ(H) and there exist edge e∈ E(G), e' E E(H)such that both G-e and H-e' are of Class l; (ii)Δ(G)<Δ(H) and there exixst an edge e ∈E(H) such that H-e is of Class 1, then, the total coloring conjecture is true for graph G ∨H.

关键词： graph join of graphs total chromatic number.