Title:On Rough Concept Lattices

2010.1.4检索（收录331条）收录年限：2009

Accession number:20095112555598

Authors:Yang, Lingyun (1); Xu, Luoshan (1)

Author affiliation:(1) Department of Mathematics, Yangzhou University, Yangzhou, 225002, China; (2) Department of Mathematics, Xuzhou University, Xuzhou, 221116, China

Corresponding author:Xu, L.

()

Source title:Electronic Notes in Theoretical Computer Science

Abbreviated source title:Electron. Notes Theor. Comput. Sci.

Volume:257

Issue date:December 3, 2010

Publication year:2010

Pages:117-133

Language:English

ISSN:15710661

Document type:Journal article (JA)

Publisher:Elsevier, P.O. Box 211, Amsterdam, 1000 AE, Netherlands

Abstract:Formal concept analysis and rough set theory provide two different methods for data analysis and knowledge processing. Given a context K, one can get the concept lattice L(K) in Wille's sense and the object-oriented rough concept lattice RO-L(K) (resp., attribute-oriented RA-L(K)). We study relations of the three kinds of lattices and their properties from the domain theory point of view. The concept of definable sets is introduced. It is proved that the family Def (K) of the definable sets in set-inclusion order is a complete sublattice of RO-L(K) and is a complete field of sets under some reasonable conditions. A necessary and sufficient condition for Def (K) to be equal to RO-L(K) is given. A necessary and sufficient condition is also given for the complete distributivity of RO-L(K). We also study algebraicity of RO-L(K) and several sufficient conditions are given for RO-L(K) to be algebraic. © 2009 Elsevier B.V. All rights reserved.

Number of references:18

Main heading:Rough set theory

Controlled terms:Algebra

Uncontrolled terms:Algebraic lattices - Concept Lattices - Data analysis - Definable sets - Distributivity - Domain theory - Field of sets - Formal Concept Analysis - Galois connection - Knowledge processing - Object oriented - Sub-lattices - Sufficient conditions

Classification code:921.1 Algebra - 921.4 Combinatorial Mathematics, Includes Graph Theory, Set Theory

DOI:10.1016/j.entcs.2009.11.030

Database:Compendex

Accession number:20094812501556

Title:Instability induced by cross-diffusion in reaction-diffusion systems

Authors:Tian, Canrong (1); Lin, Zhigui (1); Pedersen, Michael (2)

Author affiliation:(1) School of Mathematical Science, YangzhouUniversity, Yangzhou, 225002, China; (2) Department of Science, Systems and Models, RoskildeUniversity, DK 4000 Roskilde, Denmark

Corresponding author:Lin, Z.

()

Source title:Nonlinear Analysis: Real World Applications

Abbreviated source title:Nonlinear Anal. Real World Appl.

Volume:11

Issue:2

Issue date:April 2010

Publication year:2010

Pages:1036-1045

Language:English

ISSN:14681218

Document type:Journal article (JA)

Publisher:Elsevier Ltd, Langford Lane, Kidlington, Oxford, OX5 1GB, United Kingdom

Abstract:In this paper the instability of the uniform equilibrium of a general strongly coupled reaction-diffusion is discussed. In unbounded domain and bounded domain the sufficient conditions for the instability are obtained respectively. The conclusion is applied to the ecosystem, it is shown that cross-diffusion can induce the instability of an equilibrium which is stable for the kinetic system and for the self-diffusion-reaction system. © 2009 Elsevier Ltd. All rights reserved.

Number of references:22

Main heading:Stability

Controlled terms:Diffusion in liquids

Uncontrolled terms:Bounded domain - Coupled reaction - Cross-diffusion - Kinetic systems - Pattern formation - Reaction diffusion systems - Self-Diffusion - Sufficient conditions - Unbounded domain

Classification code:731.4 System Stability - 801 Chemistry - 931 Classical Physics; Quantum Theory; Relativity - 931.2 Physical Properties of Gases, Liquids and Solids - 951 Materials Science - 961 Systems Science

DOI:10.1016/j.nonrwa.2009.01.043

Database:Compendex

Accession number:20094812501557

Title:Vortex-filaments for inhomogeneous superconductors in three dimensions

Authors:Liu, Zuhan (1); Zhou, Ling (2)

Author affiliation:(1) Department of Mathematics, Xuzhou Normal University, Xuzhou, 221116, China; (2) School of Mathematics, Yangzhou University, Yangzhou, 225002, China

Corresponding author:Liu, Z.

()

Source title:Nonlinear Analysis: Real World Applications

Abbreviated source title:Nonlinear Anal. Real World Appl.

Volume:11

Issue:2

Issue date:April 2010

Publication year:2010

Pages:1046-1060

Language:English

ISSN:14681218

Document type:Journal article (JA)

Publisher:Elsevier Ltd, Langford Lane, Kidlington, Oxford, OX5 1GB, United Kingdom

Abstract:In this paper, the asymptotic behavior of solutions to the Ginzburg-Landau system of inhomogeneous superconductivity in three dimensions was studied with an applied magnetic field | h<inf>e x</inf> | = O (| ln Ε |). We show that the limiting singularities set is 1-dimensional rectifiable, which mean curvature was also given. In particular, we study the effect of the inhomogeneous term to vortex-filaments. © 2009 Elsevier Ltd. All rights reserved.

Number of references:29

Main heading:Superconductivity

Controlled terms:Filaments (lamp) - Geometry - Magnetic fields - Superconducting materials - Vortex flow

Uncontrolled terms:Applied magnetic fields - Asymptotic behavior of solutions - Geometric measure theory - Ginzburg-Landau system - Inhomogeneous superconductivity - Mean curvature - Three dimensions

Classification code:631.1 Fluid Flow, General - 701.1 Electricity: Basic Concepts and Phenomena - 701.2 Magnetism: Basic Concepts and Phenomena - 707.2 Electric Lamps - 708.3 Superconducting Materials - 921 Mathematics

DOI:10.1016/j.nonrwa.2009.01.044

Database:Compendex

Accession number:20094612449470

Title:Avian-human influenza epidemic model with diffusion

Authors:Kim, Kwang Ik (1); Lin, Zhigui (2); Zhang, Lai (2)

Author affiliation:(1) Department of Mathematics, Pohang University of Science and Technology, Pohang, 790-784, Korea, Republic of; (2) School of Mathematical Science, Yangzhou University, Yangzhou, 225002, China

Corresponding author:Lin, Z.

()

Source title:Nonlinear Analysis: Real World Applications

Abbreviated source title:Nonlinear Anal. Real World Appl.

Volume:11

Issue:1

Issue date:February 2010

Publication year:2010

Pages:313-322

Language:English

ISSN:14681218

Document type:Journal article (JA)

Publisher:Elsevier Ltd, Langford Lane, Kidlington, Oxford, OX5 1GB, United Kingdom

Abstract:A diffusive epidemic model is investigated. This model describes the transmission of avian influenza among birds and humans. The behavior of positive solutions to a reaction-diffusion system with homogeneous Neumann boundary conditions are investigated. Sufficient conditions for the local and global asymptotical stability are given by spectral analysis and by using Lyapunov functional. Our result shows that the disease-free equilibrium is globally asymptotically stable, if the contact rate for the susceptible birds and the contact rate for the susceptible humans are small. It suggests that the best policy to prevent the occurrence of a pandemic is not only to exterminate the infected birds with avian influenza but also to reduce the contact rate for susceptible humans with the individuals infected with mutant avian influenza. Numerical simulations are presented to illustrate the main results. © 2008 Elsevier Ltd. All rights reserved.

Number of references:25

Main heading:System stability

Controlled terms:Cascade control systems - Diffusion in liquids - Simulators - Spectrum analysis - Spectrum analyzers

Uncontrolled terms:Avian influenza - Disease-free equilibrium - Endemic - Epidemic models - Global asymptotical stability - Globally asymptotically stable - Lyapunov functionals - Neumann boundary condition - Numerical simulation - Positive solution - Reaction-diffusion systems - SIR model - Spectral analysis - Sufficient conditions

Classification code:921 Mathematics - 922.2 Mathematical Statistics - 931.2 Physical Properties of Gases, Liquids and Solids - 961 Systems Science - 941 Acoustical and Optical Measuring Instruments - 943 Mechanical and Miscellaneous Measuring Instruments - 944 Moisture, Pressure and Temperature, and Radiation Measuring Instruments - 942 Electric and Electronic Measuring Instruments - 731.4 System Stability - 731.1 Control Systems - 621 Nuclear Reactors - 654.1 Rockets and Missiles - 655.2 Satellites - 657.1 Solar Energy and Phenomena - 662.1 Automobiles - 671 Naval Architecture

DOI:10.1016/j.nonrwa.2008.11.015

Database:Compendex

Accession number:20094912521165

Title:Fabrication of nanomicelle with enhanced solubility and stability of camptothecin based on α,β-poly[(N-carboxybutyl)-l-aspartamide]-camptothecin conjugate

Authors:Fan, Naiqian (1); Duan, Kongrong (1); Wang, Chengyun (1); Liu, Shunying (1); Luo, Shufang (1); Yu, Jiahui (1); Huang, Jin (1); Li, Yaping (3); Wang, Daxin (4)

Author affiliation:(1) Institutes for Advanced Interdisciplinary Research, East China Normal University, 3663# North Zhongshan Road, Shanghai, 200062, China; (2) College of Chemical Engineering, Wuhan University of Technology, Wuhan, 430070, China; (3) Center for Drug Delivery System, Shanghai Institute of Materia Medica, Chinese Academy of Sciences, Shanghai, 201203, China; (4) Subei Hospital of Jiangsu Province, Yangzhou University, Yangzhou, 225001, China

Corresponding author:Yu, J.

()

Source title:Colloids and Surfaces B: Biointerfaces

Abbreviated source title:Colloids Surf. B Biointerfaces

Volume:75

Issue:2

Issue date:February 1, 2010

Publication year:2010

Pages:543-549

Language:English

ISSN:09277765

CODEN:CSBBEQ

Document type:Journal article (JA)

Publisher:Elsevier, P.O. Box 211, Amsterdam, 1000 AE, Netherlands

Abstract:This research is aimed to develop a nanomicelle delivery system in order to enhance the solubility and stability of camptothecin (CPT) in aqueous media. In this case, α,β-poly[(N-carboxybutyl)-l-aspartamide] (PBAsp)-CPT was conjugated by the esterification between PBAsp and 20-OH of CPT, and hence used to fabricate nanomicelles with a particle size between the pore size of blood capillary in normal tissue and that in tumor tissue. It was worthy of note that the drug-loaded system of PBAsp-CPT nanomicelle improved the solubility and stability of CPT in aqueous media. However, with an increase of the CPT loading in PBAsp-CPT, the solubility sharply decreased. Meanwhile, the sizes of PBAsp-CPT nanomicelles showed a tendency of increase. Moreover, the drug release of PBAsp-CPT nanomicelles displayed a linear sustaining profile, and hence resulted in the essential decrease of cytotoxicity to L929 cell line. The assembled nanomicelles based on the PBAsp-CPT conjugates showed a great potential as polymer prodrug of tumor therapy, and the controlled nano-scale might achieve the passive tumor targeting. © 2009 Elsevier B.V. All rights reserved.

Number of references:20

Main heading:Charge trapping

Controlled terms:Body fluids - Cell culture - Esters - Solubility - System stability - Ternary systems - Tumors

Uncontrolled terms:Aqueous media - Blood capillary - Camptothecins - Cell lines - Delivery systems - Drug release - Nano scale - Nanomicelles - Normal tissue - Prodrugs - Tumor targeting - Tumor therapy - Tumor tissues

Classification code:961 Systems Science - 933.3 Electronic Structure of Solids - 931.3 Atomic and Molecular Physics - 805.1.1 Biochemical Engineering - 804.1 Organic Compounds - 801.4 Physical Chemistry - 801.2 Biochemistry - 731.4 System Stability - 712.1 Semiconducting Materials - 531.2 Metallography - 531.1 Metallurgy - 461.8 Biotechnology - 461.2 Biological Materials and Tissue Engineering

DOI:10.1016/j.colsurfb.2009.09.034

Database:Compendex

Accession number:20095112552897

Title:A predator-prey system with stage-structure for predator and nonlocal delay

Authors:Lin, Zhigui (1); Pedersen, Michael (2); Zhang, Lai (1)

Author affiliation:(1) School of Mathematical Science, Yangzhou University, Yangzhou, 225002, China; (2) Department of Mathematics, The Technical University of Denmark, DK 2800 Lyngby, Denmark

Corresponding author:Pedersen, M.

()

Source title:Nonlinear Analysis, Theory, Methods and Applications

Abbreviated source title:Nonlinear Anal Theory Methods Appl

Volume:72

Issue:3-4

Issue date:February 1, 2010

Publication year:2010

Pages:2019-2030

Language:English

ISSN:0362546X

CODEN:NOANDD

Document type:Journal article (JA)

Publisher:Elsevier Ltd, Langford Lane, Kidlington, Oxford, OX5 1GB, United Kingdom

Abstract:This paper deals with the behavior of solutions to the reaction-diffusion system under homogeneous Neumann boundary condition, which describes a prey-predator model with nonlocal delay. Sufficient conditions for the global stability of each equilibrium are derived by the Lyapunov functional and the results show that the introduction of stage-structure into predator positively affects the coexistence of prey and predator. Numerical simulations are performed to illustrate the results. © 2009 Elsevier Ltd. All rights reserved.

Number of references:22

Main heading:Mammals

Controlled terms:Diffusion in liquids - Mathematical models - Simulators

Uncontrolled terms:Behavior of solutions - Global stability - Lyapunov functionals - Neumann boundary condition - Nonlocal delay - Numerical simulation - Predator - Prey system - Prey-predator models - Reaction diffusion - Reaction diffusion systems - Sufficient conditions

Classification code:921 Mathematics - 821 Agricultural Equipment and Methods; Vegetation and Pest Control - 671 Naval Architecture - 662.1 Automobiles - 931.2 Physical Properties of Gases, Liquids and Solids - 657.1 Solar Energy and Phenomena - 654.1 Rockets and Missiles - 621 Nuclear Reactors - 461.9 Biology - 655.2 Satellites

DOI:10.1016/j.na.2009.10.002

Database:Compendex

Accession number:20095112560747

Title:An electrochemical impedimetric immunosensor for label-free detection of Campylobacter jejuni in diarrhea patients' stool based on O-carboxymethylchitosan surface modified Fe<inf>3</inf>O<inf>4</inf> nanoparticles

Authors:Huang, Jinlin (2); Yang, Gongjun (1); Meng, Wenjing (1); Wu, Liping (1); Zhu, Aiping (1); Jiao, Xin'an (2)

Author affiliation:(1) College of Chemistry and Chemical Engineering, YangzhouUniversity, Yangzhou, 225002, China; (2) College of Bioscience and Biotechnology, YangzhouUniversity, Yangzhou, 225002, China

Corresponding author:Yang, G.

()

Source title:Biosensors and Bioelectronics

Abbreviated source title:Biosens. Bioelectron.

Volume:25

Issue:5

Issue date:January 15, 2010

Publication year:2010

Pages:1204-1211

Language:English

ISSN:09565663

CODEN:BBIOE4

Document type:Journal article (JA)

Publisher:Elsevier Ltd, Langford Lane, Kidlington, Oxford, OX5 1GB, United Kingdom

Abstract:A novel electrochemical impedimetric immunosensor based on O-carboxymethylchitosan surface modified Fe<inf>3</inf>O<inf>4</inf> nanoparticles (denoted as OCMCS-Fe<inf>3</inf>O<inf>4</inf> nanoparticles) was developed for rapid detection of Campylobacter jejuni, which is becoming the most common cause of gastroenteritis in developed countries and raising major public health concerns worldwide. In the present study, anti-FlaA monoclonal antibodies 2D12 (denoted as 2D12McAbs) were immobilized on OCMCS-Fe<inf>3</inf>O<inf>4</inf> nanoparticles. The detection was performed by measuring relative change in impedance before and after 2D12McAbs-Campylobacter jejuni reaction with the technique of electrochemical impedance spectroscopy. Under the optimized conditions, the relative change in impedance was proportional to the logarithmic value of Campylobacter jejuni concentrations in the range of 1.0 × 103 to 1.0 × 107 CFU/mL (r = 0.991). The advantages of the OCMCS-Fe<inf>3</inf>O<inf>4</inf> nanoparticle-based immunosensor are simplicity of use, fast response, wide linear range, acceptable reproducibility and long stability. Moreover, the immunosensor could be regenerated by being treated with glycine-HCl buffer solution (pH 2.8). We demonstrate the convenient application of the novel immunosensor for the detection of Campylobacter jejuni in diarrhea patients' stool samples. © 2009 Elsevier B.V. All rights reserved.

Number of references:60

Main heading:Electrochemical impedance spectroscopy

Controlled terms:Electrochemical corrosion - Hydrochloric acid - Immunosensors - Metal analysis - Monoclonal antibodies - Nanoparticles

Uncontrolled terms:Before and after - Buffer solutions - Campylobacter jejuni - Carboxymethylchitosan - Developed countries - Fast response - Impedimetric immunosensors - Label-free detection - Optimized conditions - Public health - Rapid detection - Reproducibilities - Surface-modified - Wide-linear range

Classification code:933 Solid State Physics - 761 Nanotechnology - 801 Chemistry - 801.4.1 Electrochemistry - 802.2 Chemical Reactions - 803 Chemical Agents and Basic Industrial Chemicals - 804.2 Inorganic Compounds - 712.2 Thermionic Materials - 539.1 Metals Corrosion - 531 Metallurgy and Metallography - 462.1 Biomedical Equipment, General - 461.9.1 Immunology - 461.8 Biotechnology - 708 Electric and Magnetic Materials

DOI:10.1016/j.bios.2009.10.036

Database:Compendex

Accession number:20095112555846

Title:On a class of analytic functions with missing coefficients

Authors:Yang, Ding-Gong (1); Liu, Jin-Lin (2)

Author affiliation:(1) Department of Mathematics, Suzhou University, Suzhou, 215006 Jiangsu, China; (2) Department of Mathematics, Yangzhou University, Yangzhou, 225002 Jiangsu, China

Corresponding author:Liu, J.-L.

()

Source title:Applied Mathematics and Computation

Abbreviated source title:Appl. Math. Comput.

Volume:215

Issue:9

Issue date:January 1, 2010

Publication year:2010

Pages:3473-3481

Language:English

ISSN:00963003

CODEN:AMHCBQ

Document type:Journal article (JA)

Publisher:Elsevier Inc., 360 Park Avenue South, New York, NY10010, United States

Abstract:Let T<inf>n</inf> (A, B, α) denote the class of functions of the form:. f (z) = z + underover(∑, k = n + 1, ∞) a<inf>k</inf> zk (n ∈ N = {1, 2, 3, ...}),. which are analytic in the open unit disk U and satisfy the following subordination condition:. f<sup′ (z) + α zf<sup″ (z) &pr; frac(1 + Az, 1 + Bz) (z ∈ U ; - 1 &le B < 1 ; B < A ; α > 0) . In this paper, we find the sharp lower bound on | z | = r < 1 for the functional Re {f<sup′ (z) + α zf<sup″ (z)} over the class:. T<inf>n</inf> (A, B, 0) = fenced(f (z) = z + underover(∑, k = n + 1, ∞) a<inf>k</inf> zk : f<sup′ (z) &pr; frac(1 + Az, 1 + Bz) (n ∈ N = {1, 2, 3, ...} ; z ∈ U)) . By applying this result, several interesting consequences are given. © 2009 Elsevier Inc. All rights reserved.

Number of references:15

Main heading:Functions

Controlled terms:Control theory - Functional analysis

Uncontrolled terms:Analytic functions - Close-to-convex functions - Convex functions - Sharp bounds - Univalent function

Classification code:731.1 Control Systems - 921 Mathematics

DOI:10.1016/j.amc.2009.10.043

Database:Compendex

Accession number:20093812316650

Title:Facile fabrication of pomponlike microarchitectures of lanthanum molybdate via an ultrasound route

Authors:Ding, Yuanhua (1); Li, Chengyi (1); Guo, Rong (1)

Author affiliation:(1) School of Chemistry and Chemical Engineering, YangzhouUniversity, Yangzhou, 225002, China

Corresponding author:Guo, R.

()

Source title:Ultrasonics Sonochemistry

Abbreviated source title:Ultrason. Sonochem.

Volume:17

Issue:1

Issue date:January 2010

Publication year:2010

Pages:46-54

Language:English

ISSN:13504177

CODEN:ULSOER

Document type:Journal article (JA)

Publisher:Elsevier, P.O. Box 211, Amsterdam, 1000 AE, Netherlands

Abstract:Pomponlike La<inf>2</inf>(MoO<inf>4</inf>)<inf>3</inf> microstructures assembled with single-crystalline nanoflakes have been facilely fabricated via a surfactant-assisted ultrasound route for the first time. Various synthesis conditions were examined, such as the surfactant concentration, the molecular structure of surfactants, and the pH value. The obtained pomponlike microstructures were characterized by X-ray diffraction (XRD), (field-emission) scanning electron microscopy [(FE)SEM], transmission electron microscopy (TEM), and nitrogen adsorption/desorption isotherms. It has been revealed that a minimum concentration of sodium dodecylsulfate (SDS) was required for the formation of pomponlike La<inf>2</inf>(MoO<inf>4</inf>)<inf>3</inf> microstructures. When the SDS concentration is above 0.02 mol L-1, the pomponlike microstructures become more perfect, and the size is also increased with the increasing SDS concentration. Under the same sonication, similar pomponlike microstructures were obtained when a cationic surfactant, cetyltrimethyl ammonium bromide (CTAB), was used instead of the anionic surfactant SDS, indicating that the hydrophobic alkyl chains are an important factor for the formation of the pomponlike La<inf>2</inf>(MoO<inf>4</inf>)<inf>3</inf> microstructures. It is also found that the pomponlike La<inf>2</inf>(MoO<inf>4</inf>)<inf>3</inf> microstructures can only be obtained within an optimal pH range of 8.0-9.0 under sonication. Based on TEM, Fourier transform infrared spectroscopy (FT-IR) and solubilization experiment, a formation mechanism of pomponlike La<inf>2</inf>(MoO<inf>4</inf>)<inf>3</inf> microstructures was proposed, in which the collaborative action of surfactants and sonication plays a key role. Furthermore, the porosity of the pomponlike La<inf>2</inf>(MoO<inf>4</inf>)<inf>3</inf> microstructures were discussed. © 2009 Elsevier B.V. All rights reserved.