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Development and application of ergodicity model with FRCM and FLAR for hydrological process

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Science china(Technological Sciences) 2009年第2期52卷 379-386页

作者： WANG HongRui1, FENG QiLei2. liN Xin3 & ZENG WenYi4 1 College of Water Science, Key Laboratory for Water and Sediment Sciences of the Ministry of Education, beijing normal university, {2. 100875,{2. 2.School of Science, {2. Institute of Education, {2. 100011,{2. 3 School of Mathematical Sciences, beijing normal university, {2. 100875,{2. 4 College of Information Science and Technology, beijing normal university, {2. 100875,{2. College of Water Science Key Laboratory for Water and Sediment Sciences of the Ministry of Education Beijing Normal University Beijing China School of Science Beijing Institute of Education Beijing China School of Mathematical Sciences Beijing Normal University Beijing China College of Information Science and Technology Beijing Normal University Beijing China

In this paper, a new ergodic property analysis model of hydrological process is proposed based on fuzzy-rough c-means clustering (FRCM), autocorrelogram, and fuzzy least absolute regression (FLAR). A precipitation time series (1951―2.04) from Shanghai Hydrology Station is then analyzed with the model. The results show that the precipitation time series of April, May, June, and September has er-godic property. We conclude that in the long run, the precipitation of April, May, June, and September will not keep decreasing; it will converge to its mean value in some period.

关键词： hydrological process ergodic autocorrelogram fuzzy-rough c-means clustering fuzzy least absolute regression

Strongly Singular Convo1ution Operators on the Weighted Herz-Type Hardy Spaces

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Acta Mathematica Sinica,English Series 1998年第1期14卷 67-76页

作者： li Xiaochun Lu Shanzhen Department of mathematics,{2., {2. 100875, china

Let 01, w2.∈A1 （Muckenhoupt-class）. In this paper the authors prove that the strongly singular convolution operators are bounded from the homogeneous weighted Herz-type Hardy spaces HKqα,p（w1; w2. to the homogen... 详细信息

Let 01, w2./sub> ∈A1 （Muckenhoupt-class）. In this paper the authors prove that the strongly singular convolution operators are bounded from the homogeneous weighted Herz-type Hardy spaces HKqα,p（w1; w2./sub>） to the homogeneous weighted Herz spaces Kqα,p（w1;w2./sub>）, provided α=n（1--1/q）. Moreover, the boundedness of these operators on the non-homogeneous weighted Herz-type Hardy spaces HKqα,p（w1, w2./sub>） is also investigated.

关键词： Strongly singular convolution operator Hardy space

Constructing super Gabor frames:the rational time-frequency lattice case

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Science china mathematics 2010年第12期53卷 3179-3186页

作者： li ZhongYan 1 & HAN DeGuang 2. 1 Department of mathematics and Physics, North{2. Electric Power {2., beijing 102.06,{2. 2.Department of mathematics, {2. of Central Florida, Orlando, FL 32.16, USA Department of mathematics and Physics North China Electric Power University Beijing China Department of mathematics University of Central Florida Orlando USA

For a time-frequency lattice Λ = A Z d × B Z d , it is known that an orthonormal super Gabor frame of length L exists with respect to this lattice if and only if |det( AB) | = 1 L . The proof of this result involves various techniques from multi-lattice tiling and operator algebra theory, and it is far from constructive. In this paper we present a very general scheme for constructing super Gabor frames for the rational lattice case. Our method is based on partitioning an arbitrary fundamental domain of the lattice in the frequency domain such that each subset in the partition tiles R d by the lattice in the time domain. This approach not only provides us a simple algorithm of constructing various kinds of orthonormal super Gabor frames with flexible length and multiplicity, but also allows us to construct super Gabor (non-Riesz) frames with high order smoothness and regularity. Several examples are also presented.

关键词： super Gabor frame orthonormal super frame full rank lattice tiles

Automatic generalization of metro maps based on dynamic segmentation

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Science china(Technological Sciences) 2010年第S1期53卷 158-165页

作者： DONG WeiHua 1,TIAN Yuan 2.& ZHANG Yi 2.1 Institute of Geography and Remote Sensing,beijing normal {2.,beijing 100875,china 2.Institute of Remote Sensing and Geographic Information System,Peking {2.,beijing 100871,china Institute of Geography and Remote Sensing Beijing Normal University Beijing China Institute of Remote Sensing and Geographic Information System Peking University Beijing China

A metro map is usually optimized for the readability of connections and transportation networks *** order to assure good readability and meet aesthetic considerations,a set of principles for good metro map layout are *** to these principles,a new methodology based on dynamic segmentation is presented to produce the metro maps ***,routes are constructed according to the line attribute similarity and geometry *** a set of cartographic generalization methods about the shape,angle,length,and topology are presented for these *** method is validated by beijing metro plan *** the experiment results,it can be concluded that this new method is more effective than the static segmentation method to produce metro maps with better readability for route plans.

关键词： metro maps generalization dynamic segmentation visualization

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Science china mathematics 2004年第5期47卷 659-674页

作者： SHI Peihu & WANG MingxinDepartment of mathematics, Southeast university, Nanjing 2.0018,{2. Department of mathematics, Xuzhou normal university, Xuzhou 2.1116,{2. Department of mathematics Southeast University Nanjing China Department of mathematics Xuzhou Normal University Xuzhou China

This paper is devoted to study the classification of self-similar solutions to the quasilinear parabolic equations with nonlinear gradient termsu t = Δ(u m) - uq∣Δu∣ p withm ≥ 1,p,q > 0 andp +q >m. Form = 1, it is shown that the very singular self-similar solution exists if and only ifnq + (n +1)p 2. and in case of existence, such solution is unique. Form > 1, it is shown that very singular self-similar solutions exist if and only if 1 2.andnq + (n + 1)p 2.+mn, and such solutions have compact support if they exist. Moreover, the interface relation is obtained.

关键词： quasilinear parabolic equations, self-similar solutions, very singular solution, classification.

Moderate deviations for the quenched mean of the super-Brownian motion with random immigration

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Science china mathematics 2008年第3期51卷 343-350页

作者： HONG WenMing School of Mathematical Sciences, Laboratory of mathematics and Complex Systems, Ministry of Education,beijing {2. university, beijing 100875, china School of Mathematical Sciences Laboratory of Mathematics and Complex Systems Ministry of Education Beijing Normal University Beijing China

Moderate deviations for the quenched mean of the super-Brownian motion with random immigration are proved for 3≤d≤6, which fills in the gap between central limit theorem(CLT)and large deviation principle(LDP).

关键词： super-Brownian motion large deviation moderate deviation random immigration Primary 60J80 Secondary 60F05

Finite-dimensional lie superalgebras of Cartan type over fields of prime characteristic

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Chinese Science Bulletin 1997年第9期42卷 720-724页

作者： ZHANG YongzhengDepartment of mathematics, Northeast normal {2., Changchun, 13002., china Department of mathematics Northeast Normal University Changchun China

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 *** the second class of finite-dimensional lie superalgebras of Cartan type over F is... 详细信息

关键词： exterior algebra lie superalgebra filtration.

JACOBI SPECTRAL APPROXIMATIONS TO DIFFERENTIALEQUATIONS ON THE HALF liNE

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Journal of Computational mathematics 2000年第1期18卷 95-112页

作者： Ben-yu Guo(Department of mathematics, Shanghai normal {2., Shanghai 2.02.4, china)(COM2.AC, Pohang {2. of Science and Technology, Pohang, Korea) 上海师范大学上海 200234

Presents a study which investigated some Jacobi approximations which are used for numerical solutions of differential equations on the half line. Application of the approximations to problems on unbounded domains; Alg... 详细信息

关键词： Jacobi spectral approximations differential equations on the half line stability and convergence

Dense coding scheme using superpositions of Bell-states and its NMR implementation

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Science china(Physics,Mechanics & Astronomy) 2005年第1期48卷 57-67页

作者： ZHANG Jingfu, XIE Jingyi, DENG Zhiwei & LU Zhiheng Key Laboratory for Quantum Information and Measurements, Department of Physics, Tsinghua university, beijing 100084,{2. Center for Quantum Information, Tsinghua university, beijing 100084,{2. Department of Materials Science and Engineering, beijing normal university, beijing 100875,{2. Testing and Analytical Center, beijing normal university, beijing 100875,{2. Department of Physics, beijing normal university, beijing 100875,{2. Key Laboratory for Quantum Information and Measurements Department of Physics Tsinghua University Beijing 100084 China Center for Quantum Information Tsinghua University Beijing 100084 China Department of Materials Science and Engineering Beijing 100875 China Testing and Analytical Center Beijing Normal University Beijing 100875 China Department of Physics Beijing Normal University Beijing 100875 China

Dense coding using superpositions of Bell-states is proposed. The generalized Grover's algorithm is used to prepare the initial entangled states, and the reverse process of the quantum algorithm is used to determine the entangled state in the decoding measurement. Compared with the previous schemes, the superpositions of two Bell-states are exploited. Our scheme is demonstrated using a nuclear magnetic resonance (NMR)quantum computer. The corresponding manipulations are obtained. Experimental results show a good agreement between theory and experiment. We also generalize the scheme to transmit eight messages by introducing an additional two-state system.

关键词： dense coding, superpositions of Bell-states, generalized Grover's algorithm, nuclear magnetic res-onance, quantum computer.