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| 1 | On adjacent-vertex-distinguishing total coloring of graphs显示文摘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 of some graphs such as cycle, complete graph, complete bipartite graph, fan, wheel and tree. | 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 | 2005 | Science China Mathematics2005，48，3： | 173 |
| 2 | Design of a new dynamical core for global atmospheric models based on some efficient numerical methods显示文摘A careful study on the integral properties of the primitive hydrostatic balance equations for baroclinic atmosphere is carried out, and a new scheme todesign the global adiabatic model of atmospheric dynamics ispresented. This scheme includes a method of weighted equal-areamesh and a fully discrete finite difference method with quadraticand linear conservations for solving the primitive equationsystem. Using this scheme, we established a new dynamical corewith adjustable high resolution acceptable to the availablecomputer capability, which can be very stable without anyfiltering and smoothing. Especially, some important integralproperties are kept unchanged, such as the anti-symmetries of thehorizontal advection operators and the vertical convectionoperator, the mass conservation, the effective energy conservationunder the standard stratification approximation, and so on. Somenumerical tests on the new dynamical core, respectively regardingits global conservations and its integrated performances inclimatic modeling, incorporated with the physical packagesfrom the Community Atmospheric Model Version 2 (CAM2) of NationalCenter for Atmospheric Research (NCAR), are included. | WANG Bin, WAN Hui, Jl Zhongzhen, ZHANG Xin, YU Rucong, YU Yongqiang & LIU HongtaoState Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China Department of Computational Mathematics, Academy of Mathematics and System Sciences, Peking University, Beijing 100871, China | 2004 | Science China Mathematics2004，47，z1： | 92 |
| 3 | AN ANISOTROPIC NONCONFORMING FINITE ELEMENT WITH SOME SUPERCONVERGENCE RESULTS显示文摘The main aim of this paper is to study the error estimates of a nonconforming finite element with some superconvergence results under anisotropic meshes. The anisotropic interpolation error and consistency error estimates are obtained by using some novel approaches and techniques, respectively. Furthermore, the superclose and a superconvergence estimate on the central points of elements are also obtained without the regularity assumption and quasi-uniform assumption requirement on the meshes. Finally, a numerical test is carried out, which coincides with our theoretical analysis. | Dong-yangShi Shi-pengMao Shao-chunChen | 2005 | Journal of Computational Mathematics2005，23，3： | 184 |
| 4 | SINGULAR PERTURBATION FOR A CLASS OF NONLINEAR REACTION DIFFUSION SYSTEMS显示文摘This paper deals with the initial-bounndary value problem for the wider nonlinear reaction diffusion system: where Leading into the variables of multiple scales, we obtained a uniformly valid asymptotic solution to any degree of precision by using comparison theorem. | 莫嘉琪 | 1989 | Science China Mathematics1989，32，11： | 213 |
| 5 | On the adjacent-vertex-strongly-distinguishing total coloring of graphs显示文摘For any vertex u∈V(G), let TN(U)={u}∪{uv|uv∈E(G), v∈v(G)}∪{v∈v(G)|uv∈E(G)}and let f be a total k-coloring of G. The total-color neighbor of a vertex u of G is the color set Cf(u)={f(x)|x∈TN(U)}. For any two adjacent vertices x and y of V(G)such that Cf(x)≠Cf(y), we refer to f as a k-avsdt-coloring of G('avsdt'is the abbreviation of'adjacent-vertex-strongly- distinguishing total'). The avsdt-coloring number of G, denoted by Xast(G), is the minimal number of colors required for a avsdt-coloring of G. In this paper, the avsdt-coloring numbers on some familiar graphs are studied, such as paths, cycles, complete graphs, complete bipartite graphs and so on. We proveΔ(G)+1≤Xast(G)≤Δ(G)+2 for any tree or unique cycle graph G. | ZHANG ZhongFu CHENG Hui YAO Bing LI JingWen CHEN XiangEn XU BaoGen | 2008 | Science China Mathematics2008，51，3： | 74 |
| 6 | The weighted Herz-type Hardy space and its applications显示文摘A certain weighted Herz-type Hardy space is introduced and its atom-decomposition theory is established. As applications of this theory, a boundedness theorem of sublinear operators and an interpolation theorem of linear operators on these spaces are given. | 陆善镇 杨大春 | 1995 | Science China Mathematics1995，38，6： | 69 |
| 7 | D(β)-vertex-distinguishing total coloring of graphs显示文摘A new concept of the D(β)-vertex-distinguishing total coloring of graphs, i.e., the proper total coloring such that any two vertices whose distance is not larger than β have different color sets, where the color set of a vertex is the set composed of all colors of the vertex and the edges incident to it, is proposed in this paper. The D(2)-vertex-distinguishing total colorings of some special graphs are discussed, meanwhile, a conjecture and an open problem are presented. | ZHANG Zhongfu,LI Jingwen,CHEN Xiang’en,YAO Bing, WANG Wenjie & QIU Pengxiang Institute of Applied Mathematic, Lanzhou Jiaotong University, Lanzhou 730070, China College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, China College of Information and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China | 2006 | Science China Mathematics2006，49，10： | 54 |
| 8 | Existence of periodic and subharmonic solutions for second-order superlinear difference equations显示文摘By critical point theory, a new approach is provided to study the existence and multiplicity results of periodic and subharmonic solutions for difference equations. For secord-order difference equations △2xn-1 + f(n,xn) = 0,some new results are obtained for the above problems when f(t, z) has superlinear growth at zero and at infinity in z. | 郭志明 庾建设 | 2003 | Science China Mathematics2003，46，4： | 51 |
| 9 | Survey on normal distributions,central limit theorem,Brownian motion and the related stochastic calculus under sublinear expectations显示文摘This is a survey on normal distributions and the related central limit theorem under sublinear expectation.We also present Brownian motion under sublinear expectations and the related stochastic calculus of It's type.The results provide new and robust tools for the problem of probability model uncertainty arising in financial risk,statistics and other industrial problems. | PENG ShiGe Institute of Mathematics,Shandong University,Jinan 250100,China | 2009 | Science China Mathematics2009，52，7： | 54 |
| 10 | A CLASS OF SINGULARLY PERTURBEDBOUNDARY VALUE PROBLEMS FOR NONLINEARDIFFERENTIAL SYSTEMS显示文摘The singularly perturbed nonlinear problem εy' = f(x, y’)y + g(x, y’), 0 | MO Jiaqi (Department of Mathematics, Anhui Normal University, Wuhu 241000, China) | 1999 | Systems Science and Mathematical Sciences1999，12，1： | 51 |
| 11 | CONVERGENCERATESIN THESTRONG LAWSOFASYMPTOTICALLY NEGATIVELY ASSOCIATEDRANDOM FIELDS显示文摘In this paper, a notion of negative side ρ \|mixing ( ρ\+- \|mixing) which can be regarded as asymptotic negative association is defined, and some Rosenthal type inequalities for ρ\+- \|mixing random fields are established. The complete convergence and almost sure summability on the convergence rates with respect to the strong law of large numbers are also discussed for ρ\+-\| mixing random fields. The results obtained extend those for negatively associated sequences and ρ\+*\| mixing random fields. | Zhang Lixin\ Wang Xiuyun | 1999 | Applied Mathematics(A Journal of Chinese Universities)1999，14，4： | 52 |
| 12 | Weighted composition operators between μ-Bloch spaces on the unit ball显示文摘In this paper, necessary and sufficient conditions are given for the weighted composition operator Tψ,ψ to be bounded or compact from the spaceβμ to βv, (or βμ,o to βv,o) on the unit ball of Cn. At the same time, a series of corollaries are also obtained. | ZHANG Xuejun~1 & XIAO Jianbin~2 1. College of Mathematics and Computer Science,Hunan Normal University,Changsha 410006,China(email:xuejunttt@263. net) 2. The School of Science,Hangzhou Dianzi University,Hangzhou 310037,China | 2005 | Science China Mathematics2005，48，10： | 49 |
| 13 | The 1-Lipschitz mapping between the unit spheres of two Hilbert spaces can be extended to a real linear isometry of the whole space显示文摘Let E and F be Hilbert spaces with unit spheres S1(E) and S1(F). Suppose that V0 S1(E)→S1(F) is a Lipschitz mapping with Lipschitz constant k=1 such that -V0[S1(E)] V0[S1(E)]. Then V0 can be extended to a real linear isometric mapping V from E into F. In particular, every isometric mapping from S1(E) onto S1(F) can be extended to a real linear isometric mapping from E onto F. | 定光桂 | 2002 | Science China Mathematics2002，45，4： | 48 |
| 14 | Necessary and sufficient conditions for moderate deviations of dependent random variables with heavy tails显示文摘This paper studies the moderate deviations of real-valued extended negatively dependent(END) random variables with consistently varying tails.The moderate deviations of partial sums are first given.The results are then used to establish the necessary and sufficient conditions for the moderate deviations of random sums under certain circumstances. | LIU Li School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China | 2010 | Science China Mathematics2010，53，6： | 44 |
| 15 | Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications显示文摘In this paper, we establish some Rosenthal type inequalities for maximum partial sums of asymptotically almost negatively associated random variables, which extend the corresponding results for negatively associated random variables. As applications of these inequalities, by employing the notions of residual Cesàro α-integrability and strong residual Cesàro α-integrability, we derive some results on Lp convergence where 1 < p < 2 and complete convergence. In addition, we estimate the rate of convergence in Marcinkiewicz-Zygmund strong law for partial sums of identically distributed random variables. | YUAN DeMei AN Jun | 2009 | Science China Mathematics2009，52，9： | 50 |
| 16 | CONVERGENCE ANALYSIS FOR A NONCONFORMING MEMBRANE ELEMENT ON ANISOTROPIC MESHES显示文摘有限元素网孔的常规假设为常规一致元素 andnonconform-ing 元素两个都是有限元素近似的大多数分析的一个基本条件。这篇论文的目的是介绍处理一个四度的非一致的有限元素的近似的一条新奇途径因为第二在各向异性的网孔上订椭圆形的问题。没有在那里喉部的假设或伪制服假设的精力标准和 L2 标准的最佳的错误估计基于此处发现的这个元素的一些新特殊特征被获得。数字结果被给表明我们的理论分析的有效性。 | Dong-yang Shi Shao-chun Chen Ichiro Hagiwara | 2005 | Journal of Computational Mathematics2005，23，4： | 43 |
| 17 | 圈和D_n图的补图的色唯一性显示文摘圈和Dn图的补图的色唯一性王守中刘儒英(青海师范大学数学系,西宁810008)关键词图,色多项式,色唯一性.分类号AMS(1991)05C/CCLO157.5用Pn和Cn表示有n个顶点的路和圈.用Dn表示把K3的一个顶点与Pn-2的一个一度顶点重迭后... | 王守中 刘儒英 | 1998 | Journal of Mathematical Research and Exposition1998，18，2： | 44 |
| 18 | AN ANISOTROPIC NONCONFORMING FINITE ELEMENT METHOD FOR APPROXIMATING A CLASS OF NONLINEAR SOBOLEV EQUATIONS显示文摘各向异性的 nonconforming 有限元素方法为非线性的 Sobolev 方程的一个班被介绍。最佳的错误估计和 supercloseness 为半分离、充分分离的近似计划被获得,它与传统的有限元素方法一样。另外,全球 superconvergence 通过 postprocessing 技术被导出。数字实验被包括说明建议方法的可行性。[从作者抽象] | Dongyang Shi Haihong Wang Yuepeng Du | 2009 | Journal of Computational Mathematics2009，27，2： | 49 |
| 19 | Moment inequalities and weak convergence for negatively associated sequences显示文摘A probability inequality for Sn and some pth moment (p≥2) inequalities for | Sn| and max 1≤k≤n |Sk|are established. Here Sn is the partial sum of a negatively associated sequence Based on these inequalities, a weak in variance principle for strictly stationary negatively associated sequences is proved under some general | 苏淳 赵林城 王岳宝 | 1997 | Science China Mathematics1997，40，2： | 44 |
| 20 | The decomposition of weighted Herz space on R^n and its applications显示文摘The decompositional characterizations of the weighted Herz spaces on Rn are established. Using this decomposition, the boundedness on the weighted Herz spaces for a large class of sublinear operators is studied. | 陆善镇 杨大春 | 1995 | Science China Mathematics1995，38，2： | 42 |
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