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Lipschitz functions on Banach spaces which are actually on Asplund spaces

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Chinese Science Bulletin 1997年第24期42卷 2051-2054页

作者： CHENG Lixin Shi ShuzhongNankai institute of Mathematics, Nankai University, tianjin 3.0071, china Nankai institute of Mathematics Nankai University Tianjin China

SINCE Namioka and Phelps, starting with Asplund’s pioneering work, introduced the no-tion of Asplund spaces (those are Banach spaces on which every continuous convex function isFrechet differentiable on a dense G_δ subset) and proved that the dual of an Asplund space hasthe Radon-Nikodym property (RNP), the study of differentiability properties of functions oninfinite dimensional spaces has continued widely and deeply (see, for instance, Phelps andGiles). The research attained a great achievment after Stegall’s theorem: If the dualspace E~* has the RNP, then E is an Asplund space. Because of the N-Ph-S theorem, we

关键词： mathematics Lipschitz function Radon-Nikodym property subdifferential Banach space.

Comparison Study of Two Mehods for Realizing Real-time High-efficiency JTC

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Chinese Journal of Lasers 1995年第5期B4卷 455-462页

作者： GE Baozhen QIN Yuwen ZHANG Yimo HUANG Zhanhua ZHANG Hong (institute of Contemporary Optical Instruments Engineering,tianjin University, tianjin 3.0072, {3.) tianjin Univ Tianjin China

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关键词： optical pattern recognition optical self-adaptation hybrid optical correlator

Wave reflection, transmission and harmonics due to different submerged structures

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Acta Oceanologica Sinica 2000年第2期19卷 111-125页

作者： Gao Xueping1 Inouchi Kunimitsu2 Kakinuma Tadao3.(1. Hydraulics institute, Faculty of Civil Engineering, tianjin University, tianjin 3.0072, {3. 2. Center for Cooperative Research and Development, Ehime University, 3.Bunkyo-cho, Matsuyama 790 - 8577, Japan 3. Nagasaki Comprehensive University, Aba-cho 53., Nagasaki 851 - 0193. Japan) Hydraulics institute Faculty of Civil Engineering Tianjin University Tianjin 300072 China

Comparisons of wave reflection, transmission and harmonics due to different types of sub merged structures are investigated by a numerical method, the boundary-fitted coordinate (BFC) method. The types of submerged structures include a submerged horizontal plate, submerged breakwa ters (rectangular and trapezoidal) and a step-type structure (topography). First, the BFC method is ver ified by comparing the computed results with the experimental data, including wave surface elevations, reflected and transmitted wave heights, and amplitudes of higher harmonics, showing that the method is a reasonable one to predict wave deformations due to the submerged structures. Secondly, the wave sur face elevations and the higher harmonics over different submerged structures are compared. Thirdly, re flected and transmitted waves due to different submerged structures are investigated.

关键词： Harmonic wave reflected wave transmitted wave submerged structure boundary-fitted coordinate method

Study of D^0-D^0 mixing at a giga-Z linear collider

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Science china(Physics,Mechanics & Astronomy) 2010年第11期53卷 1953-1956页

作者： LI HaiBo 1 & YANG MaoZhi 2 1 institute of High Energy Physics,P.O.Box 918,Beijing 100049,china 2 School of Physics,Nankai University,tianjin 3.0071,china institute of High Energy Physics Beijing China School of Physics Nankai University Tianjin China

The possibility of studying D 0-D 0 mixing at a giga-Z linear collider "Z factory" where 10 9 hadronic Z 0 decays can be accumulated is *** discuss the sensitivity for the measurements of neutral D mixing *** results are compared to those attainable at B *** find that the typical decay length of the neutral D mesons at Z factory is about 10 times larger than that at B *** addition,the resolution of the vertex detector of a giga-Z factory is 2-3.times better than that of B *** proper time resolution at Z factory is about 20-3. times better than that at B *** the determination of the mixing parameters at a giga-Z factory is more precise.

关键词： Z factory D0 mesons mixing B factory

Biomaterials made of bile acids

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Science china Chemistry 2009年第7期52卷 849-861页

作者： ZHANG JiaWei1 & ZHU XiaoXia2 1 institute of Polymer Chemistry, Nankai University, tianjin 3.0071, china 2 Département de Chimie, Université de Montréal, Montréal, QC, H3. 3.7, Canada institute of Polymer Chemistry Nankai University Tianjin 300071 China Département de Chimie Université de Montréal Montréal QC H3C 3J7 Canada

The use of natural compounds in the preparation of new materials can improve the biocompatibility of the materials and avoid any potential toxicity of the degradation products when used for biomedical applications. Bile acids are amphiphilic molecules biosynthesized in the liver. They are used to prepare various polymers and oligomers. These polymers made of bile acids are promising materials in both biomedical and pharmaceutical fields.

关键词： bile acids polymers oligomers biocompatibility biomaterials

Effects of hyaluronic acid-chitosan-gelatin complex on the apoptosis and cell cycle of L929 cells

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Chinese Science Bulletin 2003年第17期48卷 1807-1810页

作者： MAO Jinshu, WANG Xianghui, CUI Yuanlu & YAO Kangde Research institute of Polymeric Materials, tianjin University, tianjin3.0072, {3. Research institute of Polymeric Materials Tianjin University Tianjin 300072 China

With the development in the field of tissue en-gineering, the interaction between biomaterials and cells has been deeply studied. Viewing the cells seeded on the surface of materials as an organic whole, cell cycle and apoptosis are analyzed to deepen the study of cell compatibility on bioma-terials, while cell proliferation and differentiation are stud-ied at the same time. In this paper, hyaluronic acid is incor-porated into the chitosan-gelatin system. Propidium iodide(PI) was used in cell cycle analysis and the double-staining of cells with annexin-V and PI was applied in cell apoptosisanalysis. The results show that incorporated hyaluronic acid shortens the adaptation period of cells on the material sur-face, and then cells enter the normal cell cycle quickly. Inaddition, added hyaluronic acid inhibits cell apoptosis trig-gered by the membranes. Therefore, hyaluronic acid im-proves the cell compatibility of chitosan-gelatin system andbenefits the design of biomimetic materials.

关键词： L929细胞细胞凋亡细胞周期透明质酸壳聚糖凝胶生物材料组织工程学

BASIC THEORY AND MATHEMATICAL MODELING OF URBAN RAINSTORM WATER LOGGING

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Journal of Hydrodynamics 2004年第1期16卷 17-27页

作者： LIDa-ming ZHANGHong-ping LIBing-fei XIEYi-yang SchoolofCivilEngineering TianjinUinversityTianjin300072.China tianjininstituteofMeteorologicalSciences Tianjin300074China

In this paper, a mathematical model for the urban rainstorm water logging wasestablished on the basis of one- and two-dimensional unsteady flow theory and the technique ofnon-structural irregular grid division. The continuity equation was discretized with the finitevolume method. And the momentum equations were differently simplified and discretized for differentcases. A method of ''special passage'' was proposed to deal with small-scale rivers and open *** urban drainage system was simplified and simulated in the model. The method of ''open slot'' wasapplied to coordinate the alternate calculation of open channel flow and pressure flow in drainagepipes. The model has been applied in tianjin City and the verification is quite satisfactory.

关键词： urban rainstorm water logging urban drainage system mathematical model unsteady flow theory non-structural irregular grids finite volume method

Shape description matrix and its applications to color-image retrieval and recognition

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Science china(Technological Sciences) 2004年第2期47卷 159-165页

作者： WANG Yi,ZHAI Hongchen,LIANG Yanmei,ZHANG Siyuan & MU Guoguang institute of Modern Optics,Nankai University,tianjin 3.0071,china Key Laboratory of Information Sci-ence and Technology MOE,tianjin 3.0071,china 1. institute of Modern Optics Nankai University 300071 Tianjin China 2. Key Laboratory of Information Science and Technology MOE 300071 Tianjin China

Shape description matrix (SDM) describing regional pixel distribution characteristics of images is defined, with both radial and angular distribution messages taken into account to offer a comprehensive and exact description of the shape characteristics even upon a blurred edge. Using this SDM, a general color histogram (GCH) is developed. Both theoretical and experimental results show that the GCH can be applied to color-image retrievals and recognitions with a high efficiency.

关键词： SDM, similarity degree, match degree, general color histogram.

CRITERION FOR SL(2,Z)-MATRIX TO BE CONJUGATE TO ITS INVERSE

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Chinese Annals of Mathematics,Series B 2002年第4期23卷 455-460页

作者： LONG YIMINGNankai institute of Mathematics, Nankai University, tianjin 3.0071, china. E-mail: longym@***. Nankai institute of Mathematics Nankai University Tianjin 300071 China

This paper gives a necessary and sufficient condition for a matrix in SL(2, Z) to be conjugateto its inverse. This condition reduces the determination of the conjugation to solving some indeterminate equation of second degree. It yields an algorithm to determine this conjugation in finite steps based on the elementary number theory.

关键词： SL(2 Z) matrix Inverse Mixed stability