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On three-dimensional geological modeling and visualization

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Science china Earth Sciences 2004年第8期47卷 739-748页

作者： WU Qiang1 & XU Hua2.1. department of Resource Exploitation Engineering, china {2. of Mining and technology, Beijing 100083, china 2. Beijing Institute of Petrochemical technology, Beijing 102.17, china 1. department of Resource Exploitation Engineering China University of Mining and Technology 100083 Beijing China 2. Beijing Institute of Petrochemical technology 102617 Beijing China

The technology of 3D geological modeling will bring about great changes in the methods of geological data acquiring, storing, processing and displaying. However, no perfect or convenient software systems have been developed up to now since the geologic data which re-flect geological entities bear the feature of diversity, uncertainty and complexity. Some supervoxel models, mathematical models of fault and geometrical models of fold have been contrived so as to show the space geometric configuration of the complicated geologic structures. The application-oriented system architecture for 3D geological modeling is established; and a novel design concept based on spatial data processing is also proposed with the technology of solid modeling as its core and the application of models as its objective. Theories and methods for 3D geological modeling will hopefully be enriched and developed. In the light of these theories and methods, a feature-based navigation visualization technique is also put forward in the paper. By integrating geo-database, graphics libraries and KBS with 3D dynamic simulation systems, geologists will be able to capture the partial characteristics and whole structure embodied in the geological data in a direct-viewing, figurative and accurate manner.

关键词： 3D geological modeling,geometrical model,system architecture,visualization

Transitivity, mixing and chaos for a class of set-valued mappings

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Science china mathematics 2006年第1期49卷 1-8页

作者： LIAO Gongfu, WANG Lidong & ZHANG Yucheng Institute of mathematics, Jilin university, Changchun 130012.{2. Institute of Nonlinear Information technology, Dalian Nations university, Dalian 116600,{2. department of mathematics, university of Science and technology of{2., Hefei 2.002.,{2. 1. Institute of mathematics Jilin University Changchun 130012 China 2. Institute of Nonlinear Information technology Dalian Nations University Dalian 116600 China 3. department of mathematics University of Science and Technology of China Hefei 230026 China

Consider the continuous map f : x → X and the continuous map f of K,(X) into itself induced by f, where X is a metric space and K(X) the space of all non-empty compact subsets of x endowed with the Hausdorff metric. According to the questions whether the chaoticity of f implies the chaoticity of f posed by Roman-Flores and when the chaoticity of f implies the chaoticity of f posed by Fedeli, we investigate the relations between f and f in the related dynamical properties such as transitivity, weakly mixing and mixing, etc. And by using the obtained results, we give the satisfied answers to Roman-Flores's question and Fedeli's question.

关键词： set-valued mapping, transitivity, weak mixing, mixing, chaos.

Gap Property of Bi-Lipschitz Constants of Bi-Lipschitz Automorphisms on Self-similar Sets

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Chinese Annals of mathematics,Series B 2010年第2期31卷 211-218页

作者： Lifeng XI Ying XIONG Institute of mathematics Zhejiang Wanli University Ningbo 315100 Zhejiang China. department of mathematics South China University of Technology Guangzhou 510641 China.

For a given self-similar set ERd satisfying the strong separation condition,let Aut(E) be the set of all bi-Lipschitz automorphisms on *** authors prove that {fAut(E):blip(f)=1} is a finite group,and the gap property of bi-Lipschitz constants holds,i.e.,inf{blip(f)=1:f∈Aut(E)}>1,where lip(g)=sup x,y∈E x≠y(|g(x)-g(y)|)/|x-y| and blip(g)=max(lip(g),lip(g-1)).

关键词： Fractal Bi-Lipschitz automorphism Self-similar set

Growth of HT-LiCoO2.thin films on Pt-metalized silicon substrates

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Rare Metals 2008年第3期27卷 266-272页

作者： ZHANG Yao~(a,b) CHUNG Chiyuen~b ZHU Min~a ~a School of Mechanical Engineering,south china {2. of technology,Guangzhou 510640,china ~b department of Physics and Materials Science,City {2. of Hong Kong,Hong Kong,china [a]School of Mechanical Engineering South China University of Technology Guangzhou 510640 China [b]Department of Physics Materials Science City University of Hong Kong Hong Kong China

Layered LiCoO2.HT-LiCoO2.films were grown on Pt-metalized silicon（PMS）substrates and polished bulk nickel（PBN）substrates by pulsed laser *** effects of substrate temperature,oxygen pressure,and substrate surface roughness on the microstructure of LiCoO2.films were *** has been found that a higher substrate temperature and a higher oxygen pressure favor the formation of better crystallized and less lithium-deficient HT-LiCoO2.*** HT-LiCoO2.film deposited on PBN substrates consists of large randomly orientated equiaxial grains,whereas on PMS substrate,it is made up of loosely packed highly[001]preferential orientated triangular shaped grains with the average grain size less than 100 *** measurements show that the highly[001]preferentially orientated nanostructured HT-LiCoO2.thin film grown on PMS substrate has good structural stability upon lithium insertion/extraction and can deliver an initial discharge capacity of approximately 45μA·h·cm-2.μm-1with a cycling efficiency of above 99% at the charge/discharge rate of 0.5 C.

关键词： thin film LiCoO2 pulsed laser deposition electrochemical properties thin film growth

D^p Spaces on Bounded Symmetric Domains of C^n

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Acta Mathematica Sinica,English Series 1994年第1期10卷 11-18页

作者： Shi Jihuai department of mathematics {2. of Science technology of china Hefei,2.002. china 1. department of mathematics University of Science Technology of China 230027 Hefei China

In this paper,the space D^p(Ω)of functions holomorphic on bounded symmetric domain of C^n is *** prove that H^P(Ω) D^P(Ω)if 02.and D^P(Ω) H^P(Ω)if p≥2.and both the inclusions axe ***,we find that some theore... 详细信息

关键词： Th Hp D~p Spaces on Bounded Symmetric Domains of C~n

A DISCRETE CHARACTERIZATION OF HERZ-TYPE TRIEBEL-LIZORKIN SPACES AND ITS APPLICATIONS

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Acta Mathematica Scientia 2004年第3期24卷 412-420页

作者： XuJingshi departmentofmathematics HunanUniversityChanysha410082China

In this paper, the author establishes a discrete characterization of the Herz-type Triebel-Lizorkin spaces which is used to prove the boundedness of pseudo-differential operators on these function spaces.

关键词： Herz-type space Triebel-Lizorkin space discrete characterization pseudo-differential operator maximal operator

Existence and Non-Existence of Periodic Solutions of Generalized Lineard Equations with Damping of No Lower Bound

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Acta Mathematica Sinica,English Series 1996年第4期12卷 361-371页

作者： Jiang Jifa department of mathematics {2. of Science and technology of china Hefei, 2.002. china department of mathematics University of Science and Technology of China Hefei China

This paper establishes criteria for the existence and non-existence of nonzero periodic solutions of the generalized Lienard equation （?）+f（x,（?））（?）+g（x）=*** main goal is to study to what extent the damping f can be small so as to guarantee the existence of nonzero periodic solutions of such a system. With some standard edditional assumptions we prove that if for a small |x|, ∫±∞|f（x,y）|-1dy=±∞, then the system has at least one nonzero periodic solution, otherwise, the system has no nonzero periodic solution. Many classical and well-known results can be proved as corollaries to ours.

关键词： Generalized Lienard equation Limit cycle

On the reconstruction of Dirichlet-to-Neumann map in inverse scattering problems with stability estimates

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Science china mathematics 2010年第8期53卷 2069-2084页

作者： WANG HaiBing 1,2.& LIU JiJun 1 1 department of mathematics,{2.east university,Nanjing 2.0096,china 2.School of mathematics and Computational Science,Hunan university of Science and technology,Xiangtan 4112.1,china 1. department of mathematics Southeast University Nanjing 210096 China2. School of Mathematics and Computational Science Hunan University of Science and Technology Xiangtan 411201 China

Consider the determination of Dirichlet-to-Neumann(D-to-N) map from the far-field pattern in inverse scattering problems,which is the key step in some recently developed inversion schemes such as probe ***,this problem is related to the reconstruction of the scattered wave from its far-field *** firstly prove the well-known uniqueness result of the D-to-N map from the far-field pattern using a new scheme based on the mixed reciprocity *** advantage of this new proof scheme is that it provides an efficient algorithm for computing the D-to-N map,avoiding the numerical differentiation for the scattered *** combining with the classical potential theory,a simple and feasible regularizing reconstruction scheme for the D-to-N map is *** the stability estimate for the reconstruction with noisy input data is rigorously analyzed.

关键词： inverse scattering Dirichlet-to-Neumann map regularization mixed reciprocity principle stability

ON F-z-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS

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Acta Mathematica Scientia 2011年第1期31卷 22-28页

作者：郭文彬唐娜李保军 department of mathematics University of Science and Technology of China department of mathematics Xuzhou Normal University department of mathematics Huaiyin Teachers College School of mathematics Chengdu University of Information Technology

A subgroup H of a group G is called F-z-supplemented in G if there exists a subgroup K of G, such that G = HK and H∩K≤ Z∞F（G）, where Z∞F（G） is the F-hypercenter of G. We obtain some results about the F-z-suppl... 详细信息

关键词： Finite groups local formations F-z-supplemented subgroups supersoluble groups p-nilpotent groups