检索结果-南通市图书馆

On adjacent-vertex-distinguishing total coloring of graphs

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2005年第3期48卷 289-299页

作者： ZHANG Zhongfu, CHEN Xiang’en, LI Jingwen, YAO Bing, LU Xinzhong & WANG Jianfang College of mathematics and information Science, Northwest normal university, Lanzhou 730070, china Department of Computer, Lanzhou normal College, Lanzhou 730070, china Institute of Applied mathematics, Lanzhou Jiaotong university, Lanzhou 730070, china College of information and Electrical Engineering, Lanzhou Jiaotong university, Lanzhou 730070, china Institute of Applied mathematics, Chinese Academy of sciences, Beijing 100080, china 1. College of mathematics and information Science Northwest Normal University 730070 Lanzhou China 2. Department of Computer Lanzhou Normal College 730070 Lanzhou China 3. Institute of Applied mathematics Lanzhou Jiaotong University 730070 Lanzhou China 4. College of information and Electrical Engineering Lanzhou Jiaotong University 730070 Lanzhou China 5. Institute of Applied mathematics Chinese Academy of Sciences 100080 Beijing China

In this paper, we present a new concept of the adjacent-vertex-distinguishing total coloring of graphs (briefly, AVDTC of graphs) and, meanwhile, have obtained the adjacent-vertex-distinguishing total chromatic number... 详细信息

关键词： graph, proper total coloring, adjacent-vertex-distinguishing total coloring, adjacent-vertex-distinguishing total chromatic number.

GENERAL CAUCHY PROBLEM FOR THE LINEAR SHALLOW-WATER EQUATIONS ON AN EQUATORIAL BETA-PLANE

在线全文

学校读者我要写书评

暂无评论

Journal of Hydrodynamics 2006年第3期18卷 303-309页

作者： SHEN Chun SHI Wei-hui school of mathematics and information Yantai Normal University Yantai 264025 China Shanghai Institute of Applied mathematics and Mechanics Shanghai University Shanghai 200072 China Department of mathematics Shanghai University Shanghai 200444 China

Based on the theory of stratification, the well-posedness of the initial value problem for the linear shallow-water equations on an equatorial beta-plane was discussed. The sufficient and necessary conditions of the existence and uniqueness for the local solution of the equations were presented and the existence conditions for formal solutions of the equations vere also given. For the Cauchy problem on the hyper-plane {t = O}, the local analytic solution were worked out and a special case was discussed. Finally, an example was used to explain the variety of formal solutions for the ill-posed problem.

关键词： stratification initial value problem,well-posedness shallow-water equations

Entropy number and non-linear approximations on multivariate Besov space by manifolds of finite pseudo-dimension

在线全文

学校读者我要写书评

暂无评论

Progress in Natural Science:Materials International 2006年第3期16卷 260-265页

作者： LONG Jingfan and FANG Gensun (school of Mathematical sciences, Beijing normal university, Beijing 100875, china Department of Computer Science, information Technology Institute, Beijing 100101, china) [a]school of Mathematical sciences Beijing Normal University Beijing China [b]Department of Computer Science Information Technology Institute Beijing China

We determine the asymptotic order of entropy number and optimal non -linear approximations of anisotropic periodic Besov class of Bpθr(Td') (1≤p≤∞,1≤0≤∞) by manifolds of finite pseudo-dimension in the metric Lq... 详细信息

关键词： Pseudo-dimension anisotropic Besov class of functions entropy number nonlinear width.

The restricted EM algorithm under linear inequalities in a linear model with missing data

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Science china mathematics 2005年第6期48卷 819-828页

作者： ZHENG Shurong, SHI Ningzhong & GUO Jianhua school of mathematics and Statistics, Northeast normal university, Changchun 130024, china Institute of mathematics, Jilin university, Changchun 130012, china 1. school of mathematics and Statistics Northeast Normal University 130024 Changchun China 2. Institute of mathematics Jilin University 130012 Changchun China

This paper discusses the maximum likelihood estimate of β under linear inequalities A0β≥ a in a linear model with missing data, proposes the restricted EM algo rithm and proves the convergence.

关键词： EM algorithm, linear model, maximum likelihood estimate, missing data.

Quantum secret sharing between m-party and n-party with six states

在线全文

学校读者我要写书评

暂无评论

Science china(Physics,Mechanics & Astronomy) 2009年第8期52卷 1191-1202页

作者： GAO Ting1,YAN FengLi2,3 & LI YouCheng2,3 1 College of mathematics and information Science,Hebei normal university,Shijiazhuang 050016,china 2 College of Physics and information Engineering,Hebei normal university,Shijiazhuang 050016,china 3 Hebei Advanced Thin Films Laboratory,Shijiazhuang 050016,china College of mathematics and information Science Hebei Normal University Shijiazhuang 050016 China College of Physics and information Engineering Hebei Normal University Shijiazhuang 050016 China Hebei Advanced Thin Films Laboratory Shijiazhuang 050016 China

A quantum secret sharing scheme between an m-party group and an n-party group is proposed using three conjugate bases.A sequence of single photons,each of which is prepared in one of the six states,is used directly to encode classical information in the quantum secret sharing *** this scheme,each of all m members in group 1 chooses randomly his/her own secret key individually and independently,and directly encodes his/her respective secret information on the states of single photons via unitary operations,then the last one sends 1/n of the resulting qubits to each member of group *** measuring their respective qubits,all members in group 2 share the secret information shared by all members in group *** renders impossible a Trojan horse attack with a multi-photon signal,a fake-signal attack with EPR pairs,an attack with single photons,and an attack with invisible *** give the upper bounds on the average success probabilities for dishonest agent eavesdropping encryption using the fake-signal attack with any two-particle entangled states.

关键词： quantum secret sharing security EPR pairs

Global Bifurcation of a Perturbed Double-Homoclinic Loop

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 2006年第4期27卷 425-436页

作者： Desheng SHANG Maoan HAN school of mathematics and information Science Shandong University of Technology Zibo 255049 Shandong China. school of Mathematical sciences Shanghai Normal University Shanghai 200234 China.

This paper deals with a kind of fourth degree systems with perturbations. By using the method of multi-parameter perturbation theory and qualitative analysis, it is proved that the system can have six limit cycles.

关键词： Perturbation Bifurcation Cubic system Limit cycle Hamiltonian system Homoclinic loop

GLOBAL EXISTENCE OF WEAKLY DISCONTINUOUS SOLUTIONS TO A KIND OF MIXED INITIAL-BOUNDARY VALUE PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS

在线全文

学校读者我要写书评

暂无评论

Applied mathematics(A Journal of Chinese Universities) 2007年第2期22卷 181-200页

作者： Guo Fei school of Mathematical sciences, Fudan university, Shanghai 200433, china Department of mathematics, Qufu normal university, Shandong, 273165, china. school of Mathematical sciences Fudan University Shanghai 200433 China

In this paper, the mixed initial-boundary value problem for general first order quasi- linear hyperbolic systems with nonlinear boundary conditions in the domain D = {（t, x）｜ t ≥ 0, x ≥0} is considered. A suffic... 详细信息

关键词： quasilinear hyperbolic system mixed initial-boundary value problem global weakly discontinu-ous solution weak linear degeneracy

Convergence rates for reversible Markov chains without the assumption of nonnegative definite matrices

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2010年第8期53卷 1979-1988页

作者： MAO Yong-Hua school of Mathematical sciences,Beijing normal university,Laboratory of mathematics and Complex Systems,Ministry of Education,Beijing 100875,china 1. school of Mathematical sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing 100875 China

Explicit convergence rates in geometric and strong ergodicity for denumerable discrete time Markov chains with general reversible transition matrices are obtained in terms of the geometric moments or uniform moments of the hitting times to a fixed *** way by Lyapunov's drift conditions is also used to derive these convergence *** a typical example,the discrete time birth-death process(random walk) is studied and the explicit criteria for geometric ergodicity are presented.

关键词： Markov chain spectral theory convergence rate geometric ergodicity strong ergodicity Lyapunov’s condition

On maximal injective subalgebras in a wΓ factor

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2008年第11期51卷 2089-2096页

作者： HOU ChengJun school of Mathematical sciences, Qufu normal university, Shandong 273165, china 1. school of Mathematical sciences Qufu Normal University Qufu Shandong 273165 China

Let $ \mathcal{L} $ (F ?) × α ? be the crossed product von Neumann algebra of the free group factor $ \mathcal{L} $ (F ?), associated with the left regular representation λ of the free group F ? with the set {u r : r ∈ ?} of generators, by an automorphism α defined by α(λ(u r )) = exp(2πri)λ(u r ), where ? is the rational number set. We show that $ \mathcal{L} $ (F ?) × α ? is a wΓ factor, and for each r ∈ ?, the von Neumann subalgebra $ \mathcal{A}_r $ generated in $ \mathcal{L} $ (F ?) × α ? by λ(u r ) and υ is maximal injective, where υ is the unitary implementing the automorphism α. In particular, $ \mathcal{L} $ (F ?) × α ? is a wΓ factor with a maximal abelian selfadjoint subalgebra $ \mathcal{A}_0 $ which cannot be contained in any hyperfinite type II1 subfactor of $ \mathcal{L} $ (F ?) × α ?. This gives a counterexample of Kadison’s problem in the case of wΓ factor.

关键词： von Neumann algebra maximal injective subalgebra crossed product wΓ factor 46L10