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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 | S-rough sets and knowledge separation显示文摘The conceptions of the knowledge screen generated by S-rough sets are given: f- screen and - screen , and then puts forward - filter theorem, - filter theorem of knowledge. At last, the applications of knowledge separation are given according to - screen and - screen. | Shi Kaiquan 1,21. School of Mathematics and System Sciences, Liaocheng University, Liaocheng 252059, P. R. China 2. School of Mathematics and System Sciences, Shandong University, Jinan 250100, P. R. China | 2005 | Journal of Systems Engineering and Electronics2005,16,2: | 104 |
| 4 | Picard Values and Normal Families of Meromorphic Functions with Multiple Zeros | Wang Yuefei Fang Mingliang Institute of Mathematics, Academia Sinica, Beijing 100080, China Institute of Mathematics, Academia Sinica, Beijing 100080, China Department of Mathematics, Nanjing Normal University, Nanjing 210097, China | 1998 | Acta Mathematica Sinica,English Series1998,14,1: | 99 |
| 5 | L^p-Boundedness of Marcinkiewicz Integrals with Hardy Space Function Kernels | Yong Ding Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China Dashan Fan Department of Mathematics, Anhui University and University of Wisconsin-Milwaukee. MW 53201 USA Yibiao Pan Department of Mathematics, University of Pittsburgh. Pittsburgh. Pennsylvania 15260. USA | 2000 | Acta Mathematica Sinica,English Series2000,16,4: | 88 |
| 6 | Function S-rough sets and security-authentication of hiding law显示文摘Function S-rough sets are defined by R-function equivalence class, which have dynamic characteristic. Function S-rough sets have dynamic characteristic, law characteristic and law-hiding characteristic. Function S-rough sets can generate f-hiding law and - hiding law. By engrafting, crossing, and penetrating between the information security theory and function S-rough sets, the security hiding and the authentication of f- hiding law and - hiding law are given respectively in this paper. The fusion and share between function S-rough sets and information security theory is a new research direction of the application of information law in information system. | SHI KaiQuan1,2 & ZHAO JianLi3 1 School of Mathematics and Computer Sciences, Longyan University, Longyan 364000, China 2 School of Mathematics and System Sciences, Shandong University, Jinan 250100, China 3 School of Mathematics Science, Liaocheng University, Liaocheng 252059, China | 2008 | Science in China(Series F)2008,51,7: | 69 |
| 7 | Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic显示文摘IN this note the infinite-dimensional Lie superalgebras of Cartan type X(m,n)(X=W,S,H or K)over field F of prime characteristic are constructed.Then the second class of finite-dimensional Lie superalgebras of Cartan type over F is defined.Their simplicity and re-strictability are discussed.Finally a conjecture about classification of the | ZHANG YongzhengDepartment of Mathematics, Northeast Normal University, Changchun, 130024, China | 1997 | Chinese Science Bulletin1997,42,9: | 73 |
| 8 | 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 |
| 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 | Mobius Isoparametric Hypersurfaces in S^(n+1) with Two Distinct Principal Curvatures | Hai Zhong LI Department of Mathematics, Tsinghua University. Beijing 100084. P. R. China Hui Li LIU Department of Mathematics, Northeastern University. Shenyang 110000. P. R. China Chang Ping WANG Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences. Peking University, Beijing 100871, P. R. China Guo Song ZHAO Department of Mathematics, Sichuan University, Chengdu 610064. P. R. China | 2002 | Acta Mathematica Sinica,English Series2002,18,3: | 53 |
| 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 | 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 |
| 14 | Composition Operators on the Bloch Space of Several Complex Variables | Jihuai Shi Luo Luo Department of Mathematics,University of Science and Technology of China,Heifei 230036,P.R.China Fax:(0551)3631760 | 2000 | Acta Mathematica Sinica,English Series2000,16,1: | 43 |
| 15 | The Generalized Roper-Suffridge Extension Operator for Locally Biholomorphic Mappings显示文摘In this paper, we introduce the generalized R oper-Suffridge extension operator for locally biholomorphic mappings. It is sh own that this operator preserves the starlikeness on some Reinhardt domains and does not preserve convexity for some cases. Meanwhile, the growth theorem and di stortion theorem of the corresponding mappings are given. | LIU Xiao-song,LIU Tai-shun (Department of Mathematics, University of Science and Technology of C hina, Hefei 230026, China) | 2003 | Chinese Quarterly Journal of Mathematics2003,18,3: | 47 |
| 16 | Characterization for commutators of n-dimensional fractional Hardy operators显示文摘In this paper, it was proved that the commutator Hβ,b generated by an n-dimensional fractional Hardy operator and a locally integrable function b is bounded from Lp1(Rn) to Lp2 (Rn) if and only if b is a C(M)O(Rn) function, where 1/p1 - 1/p2 = β/n, 1 < p1 <∞, 0 ≤β< n. Furthemore,the characterization of Hβ,b on the homogenous Herz space (K)qα,p(Rn) was obtained. | Zun-wei FU~(1,2) Zong-guang LIU~3 Shan-zhen LU~(1+) Hong-bin WANG~3 ~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 | 2007 | Science China Mathematics2007,50,10: | 39 |
| 17 | A NEW REGULARITY CLASS FOR THE NAVIER-STOKES EQUATIONS IN IR^n显示文摘ANEWREGULARITYCLASSFORTHENAVIER-STOKESEQUATIONSINIR~n¥H.BEIRaODAVEIGA(DepotmentofMathematics,PisaUniversity,Pisa,Italy)Abstra?.. | H. BEIRaO DA VEIGA (Department of Mathematics, Pisa University, Pisa, Italy) | 1995 | Chinese Annals of Mathematics,Series B1995,16,4: | 38 |
| 18 | THE GROWTH THEOREM FOR STARLIKE MAPPINGS ON BOUNDED STARLIKE CIRCULAR DOMAINS显示文摘The authors obtain the growth and covering theorem for the class of normalized biholomorphic starlike mappings on bounded starlike circular domains.This type of domain discussed is rather general, since the domain must be starlike if there exists a normalized biholomorphic starlike mapping on it. In the unit disc, it is just the famous growth and covering theorem for univalent functions.This theorem successfully realizes the initial idea of H. Cartan about how to extend geometric function theory from one variable to several complex variables. | LIU TAISHUN (Department of Mathematics, University of Science and Technology of China, Hefei 230026, China)REN GUANGBIN (Department of Mathematics, University of Science and Technology of China, Hefei 230026, China) | 1998 | Chinese Annals of Mathematics,Series B1998,19,4: | 39 |
| 19 | Oscillation of Solutions of Nonlinear Partial Differential Equations of Neutral Type | Yu Yuanhong Liu Bin Liu Zhengrong Institute of Applied Mathematics, Academia Sinica, Beijing 100080, China Department of Mathematics, Hubei Normal College, Huangshi 435002. China Department of Mathematics, Yunnan University. Kunming 650091. China Institute of Applied Mathematics of Yunnan Province, Kunming 650091, China | 1997 | Acta Mathematica Sinica,English Series1997,13,4: | 39 |
| 20 | The Constrained Solutions of Two Matrix Equations | An Ping LIAO Zhong Zhi BAI Department of Mathematics. Hunan University. Changshu, 410082. P. R. China Department of Mathematics and Information Science, Changsha University, Changsha 410003. P. R. China Academy of Mathematics and System. Sciences. Chinese Academy of Sciences. Beijing 100080. P. R. China State Key Laboratory of Scientific/Engineering Computing. Chinese Academy of Sciences. Institute of Computational Mathematics and Scientific/Engineering Computing. Academy of Mathematics and System Sciences. Chinese Academy of Sciences. P. O. Box 2719. Beijing 100080. P. R. China | 2002 | Acta Mathematica Sinica,English Series2002,18,4: | 40 |