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Relations among the category of topological molecular lattices and certain related categories

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Chinese Science Bulletin 1997年第8期42卷 636-640页

作者： WANG Guojun and LI Yongming1. Institute of Mathematics, shaanxi normal university, xi’an 710062. china 2. department of Basic Science, Northwestern Institute of Architecture Engineering, xi’an 710061, china Institute of Mathematics Shaanxi Normal University Xi’an China department of Basic Science Northwestern Institute of Architecture Engineering Xi’an China

TAKING the theory of fuzzy topology and point set topology as background,the theory of topo-logical molecular lattices was first advanced in 1979,and after several generalizationsrefs.[4.5] are its general *** topology and point set topology are both special casesof topological molecular lattices as pointed out in ref.[4.,whereas it seems not clear whetherone can develop the theory of topological molecular lattices by means of methods in

关键词： category pick-up-one principle.

LONGTIME BEHAVIOR FOR THE ACTIVATOR-INHIBITOR MODEL

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Systems Science and Mathematical Sciences 2000年第3期13卷 285-291页

作者： WU Jianhua(department of Mathematics, shaanxi normal university, xi’an 710062. china)HUANG Aixiang(department of Mathimatics, xi’an Jiaotong {4., xi’an 71004., china) 陕西师范大学数学系陕西西安 710062 西安交通大学数学系陕西西安

The paper first discusses the longtime behavior of the activator-inhibitor model, the existence of the maximal attractor is given. Then using the mathematical induction and the properties of linear semigroup, the regularity result for the maximal attractor is obtained. Next, it is proved that its Hausdorff or fractal dimension is ***, further estimates are verilied by Rothe’s inequality and fractional operators, and the existence of inertial manifold is then proved.

关键词： Maximal attractor estimate of dimension inertial manifold activatorinhibitor model

Variational Analysis Based on Proximal Subdifferential on Smooth Banach Spaces

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Acta Mathematica Sinica,English Series 2024年第2期40卷 595-618页

作者： xi Yin ZHENG department of Mathematics Yunnan UniversityKunming 650091P.R.China

This paper first shows that for any p∈(1,2)there exists a continuously differentiable function f on l^(p)(and L^(p))such that the proximal subdifferential of f is empty everywhere,and hence it is not suitable to develop theory on proximal subdifferential in the classical Banach spaces l^(P)and L^(P) with p∈(1,2).On the other hand,this paper establishes variational analysis based on the proximal subdifferential in the framework of smooth Banach spaces of power type 2,which conclude all Hilbert spaces and all the classical spaces l^(P)and L^(P)with p∈(2,+∞).In particular,in such a smooth space,we provide the proximal subdifferential rules for sum functions,product functions,composite functions and supremum functions,which extend the basic results on the proximal subdifferential established in the framework of Hilbert *** of our main results are new even in the Hilbert space *** applications,we provide KKT-like conditions for nonsmooth optimization problems in terms of proximal subdifferential.

关键词： Smooth Banach space proximal subdifferential proximal normal cone KKT condition

Wave Solutions for the GinzburgLandau-BBM Equations (I)

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Communications in Nonlinear Science and Numerical Simulation 1998年第4期3卷 218-221页

作者： Murong JIANG and Yawei TIAN(department of Mathematics, Yunnan university, Kunming 650091, china)(Graduate School of china Academy of Engineering and Physics, P.O.Box 2010 Beijing100081, china)(Computer department, shaanxi normal university, xi’an 710062. department of Mathematics Yunnan University Kunming 650091 China Graduate School of china Academy of Engineering and Physics P.O.Box 2010 Beijing 100081 China Computer department Shanxi Normal University Xi'an 710062 China

In this paper, the stability of plane wave solutions for the GinzburgLandau-BBM equations are considered. When the coefficients are suitably constrained,these waves are stable.

关键词： stability the Ginzburg- Landau- BBM equations plane wave solutions

Reference value of erythrocyte sedimentation rate of younger people and geographical factors

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Reference value of erythrocyte sedimentation rate of younger...

GLOBAL SOLUTIONS AND BLOW UP FOR ACTIVATOR INHIBITOR MODEL

2008年全国生物流变学与生物力学学术会议

作者： Ge Miao(department of geography,shaanxi normal {4.,xi’an,710062.shaanxi,china)

The purpose of this paper is to provide a scientific basis for a unified standard of the reference value of erythrocyte sedimentation rate (ESR) of younger people in *** reference value of healthy younger people’s ESR have been collected according to the Wintrobe methods,the relationship between the reference value of younger people’s ESR and geographical factors has been tested in this ***

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来源： cnki会议评论

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Systems Science and Mathematical Sciences 1998年第3期11卷 238-244页

作者： ZHANG Quande(department of Mathematics, shaanxi normal university, xi’an 710062. china)LI Kaitai(Research Center for Applied Mathematics, xi’an Jiaotong university, xi’an 71004., {4.)

This paper deals with the existence and nonexistence of global positive solutions of initial and boundary value problem for the general activator-inhibitor model In this paper, we do not restrict ourselves to the initial data 1/uo, 1/uo ∈L∞(Ω). We prove that there exist glolal solutions if 0 ≤ u0 ≤ u0 and they will blow up in finite time if 0 ≤ v0 ＜ u0 whether u0, v0 are small or large.

关键词： Global solutions blow up of solution activator-inhibitor model

Relationship between reference value (Wintrobe) of Chinese people's erythrocyte sedimentation rate (ESR) and geographical factors

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Journal of Geographical Sciences 1999年第2期9卷 181-186页

作者： GEMiao YAN Yan REN Zhi-yuan GUO Cai-ling YUE Da-peng YIN Shu-yan (department of geography,shaanxi normal {4., xi’an 710062. china)

In order to provide a scientific basis for laying out a unified standard of the reference value (Wintrobe) of Chinese people's erythrocyte sedimentation rate (ESR). this paper studies the relationship between the reference values (Wintrobe) of Chinese healthy people's ESR, and the test is done according to the Wintrobe Laws and five geographical factors. It is found that the altitude is the modt important factor affecting the reference value (Wintrobe) of Chinese people's ESR. As altitude increases gradually, the reference value (Wintrobe) of people's ESR decreases accordingly, the correlation is quite obvious. By using the method of regression analysis, two multivariate regression equations and ten univariate regression equations are deduced If the geographical index values in a particular area are known, the reference value (Wintrobe) of Chinese people's ESR of this region can be established by means of the regression equations. Furthermore, according to the dependent relationship of the reference value (Wintrobe) of Chinese people's ESR on geographical *** can be divided into sin districts: Qinghai-Tibet, Southwest. Northwest. Southeast, North and Northeast china.

关键词： erythrocyte sedimentation rate (ESR), reference value geographical elements altitude hemorheology

(2,n)secret sharing scheme for gray and color images based on Boolean operation

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Science china(Information Sciences) 2012年第5期55卷 1151-1161页

作者： DONG Lin 1,WANG DaoShun 1,LI ShunDong 2 & DAI YiQi 1 1 department of Computer Science and Technology,Tsinghua university,Beijing 100084.china 2 School of Computer Science,shaanxi {4. university,xi'an 710062.china 1. department of Computer Science and Technology Tsinghua University Beijing 100084 China2. School of Computer Science Shaanxi Normal University Xi’an 710062 China

Traditional secret sharing (SS) schemes can reconstruct the secret precisely,but have high com-putation *** secret sharing (VSS) schemes use human visual system to reconstruct the secret without cryptographic computation,but have pixel expansion and loss of *** et *** a (2,n)-SS scheme for binary images based on Boolean operation,which has low computation complexity,no pixel expansion and the contrast is 1/*** this paper,we first construct an r runs (2,n)-SS scheme to improve the contrast of Wang et al.'s binary (2,n)-SS *** we present two approaches to construct r runs (2,n)-SS schemes for grayscale image and color *** two approaches are both based on Boolean operation,while one approach uses halftone technology and the other uses bit level *** proposed schemes have low computation complexity and almost ideal contrast.

关键词： secret sharing scheme Boolean operation halftone contrast

BLOW-UP OF SOLUTIONS OF THE IGNITION　MODEL

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Journal of Systems Science & Complexity 2002年第3期15卷 278-281页

作者： LI Yarding (Faculty of Science, xi’an Jiaotong university, xi’an 71004., china)WU Jianhua (department of Mathematics, shaanxi normal university,{4.) Faculty of Science Xi'an Jiaotong University Xi'an 710049 department of Mathematics Shaanxi Normal University Xi'an 710062

By use of maximum principle and auxiliary function method,the paper discusses the blow-up sets of the solutions of the ignition model in two cases,It is obtained that the solutions blow up in single point in nonsymmet... 详细信息

关键词： Blow-up set ignition model maximum principle.