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Abundant Semigroups with a Multiplicative Adequate Transversal

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Acta Mathematica Sinica,English Series 2002年第2期18卷 229-244页

作者： GUO Xiao jiang department of Mathematics.Yunnan {2..kunming 650091,P.R.china department of Mathematics Yunnan University Kunming P. R. China

The aim of this paper is to investigate abundant semigroups with a multiplicative adequate *** properties and characterizations for such semigroups are *** particular. we establish the structure of this class of abundant semigroups in terms of left {2. bands,right {2. braids and adequate semigroups with some simple Compatibility *** apply this structure to some special cases.

关键词： Abundant semigroup Adequate semigroup Left(Right)normal band

INTENSIFICATION OF TECTONIC MOVEMENT SINCE THE CENOZOIC AND ITS EFFECT ON GEOLOGICAL ENVIRONMENT IN NORTHWESTERN YUNNAN,china

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Geotectonica et Metallogenia 2000年第1期24卷 1-9页

作者： li Feng and XUE Chuan－ dong (department of Earth {2.,kunming university of {2. and technology, kunming 650093,china)

Since the Cenozoic,especially the Quaternary,tectonic movement has been strengthening in northwestern Yunnan,*** tectonic elevation rate of mountains changed from 0.3～ 1.7 mm/a(before the Holocene)to 2. 7.1 mm/a(after the Holocene).The subsiding velocity of the Holocene basins increases by 1～ 2.orders of magnitude relative to the *** displacement rate of the Quaternary fractures increases *** crustal stress values become *** deformation speeds *** activities *** flux anomaly is *** strengthening tectonic activities will result in changes of the topographic frame of northwestern Yunnan,worsen mountain geologic disaster,speed up the contraction of lakes and decrease the regional ***,human beings will face the challenge of a more rigorous environment.

关键词： Neotectonic movement tendency environmental effects northwestern Yunnan

Preparation of PFSA/PSf hollow fiber composite membranes with recovered PFSA for the pervaporation separation of EtOH/H_2.

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science china Chemistry 2010年第1期53卷 273-280页

作者： LANG WanZhong1,2.TONG Wei2.XU Zhenliang2.& GUO YaJun1 1department of Chemistry,Shanghai {2. university,Shanghai 2.02.4,china 2.hemical Engineering Research Center,East china university of science and technology,Shanghai 2.02.7,china 1. department of Chemistry Shanghai Normal University Shanghai 200234 China2. Chemical Engineering Research Center East China University of Science and Technology Shanghai 200237 China

Perfluorosulfonic acid/Polysulfone(PFSA/PSf) hollow fiber composite membranes have been prepared by dip-coating method using PSf ultrafiltration(UF) membrane as substrate with recovered *** composite membranes were applied to the pervaporation separation of 95% ethanol(EtOH)/H2. *** images show that the thickness of the PFSA skin layer of the composite membranes is about 2.μm,much thinner than those of other PFSA composite membranes revealed in the *** of annealing temperature,coating solution concentration and counter-ions of PFSA on the pervaporation performances of the composite membranes were *** total flux decreases and separation factor increases with the increase of annealing *** highest permeation flux of 32.0 g m-2.h-1 and a separation factor of 5.4 is obtained for the composite membrane annealed at 80°*** lowest permeation flux of 396 g m-2.h-1 and a separation factor of 2..7 is obtained for the composite membrane annealed at 160°*** permeation performances of the PFSA/PSf composite membrane are evidently influenced by the counter-ions of *** flux sequence of the PFSA/PSf composite membranes with different counter-ions is H+>li+>Ca2.>Mg2.>Na+>K+>Ba2.>Fe3+>Al3+,and the separation factor sequence is H+li+2.2.2.li+>Na+>K+.There are very little variations of △Eapp values between the composite membranes with three divalent counterions(Mg2.,Ca2. and Ba2.),and the △Eapp values of the composite membranes with two trivalent counterions(Fe3+ and Al3+) are relatively high.

关键词： pervaporation hollow fiber composite membrane perfluorslulfonic acid(PFSA) ethanol(EtOH)/H2. mixture

Uniform blow-up profiles and boundary layer for a parabolic system with localized nonlinear reaction terms

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science china Mathematics 2005年第2期48卷 185-197页

作者： li Huiling & WANG Mingxin {2. of Mathematics, Southeast university, Nanjing 2.0018, china {2. of Mathematics, Xuzhou normal university, Xuzhou 2.1116, china 1. department of Mathematics Southeast University 210018 Nanjing China 2. department of Mathematics Xuzhou Normal University 221116 Xuzhou China

This paper deals with the blow-up properties of the solution to a semilinear parabolic system with localized nonlinear reaction terms, subject to the null Dirichlet boundary condition. We first give sufficient conditions for that the classical solution blows up in the finite time, secondly give necessary conditions and a sufficient condition for that two components blow up simultaneously, and then obtain the uniform blow-up profiles in the interior. Finally we describe the asymptotic behavior of the blow-up solution in the boundary layer.

关键词： parabolic system, localized nonlinear reaction terms, blow-up profiles, boundary layer size.

Microlensing bias on the detection of strong lensing gravitational wave

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science china(Physics,Mechanics & Astronomy) 2024年第6期67卷 156-165页

作者： Xikai Shan Xuechun Chen bin Hu Guoliang li Institute for Frontier in Astronomy and Astrophysics Beijing Normal UniversityBeijing 102206China department of Astronomy Beijing Normal UniversityBeijing 100875China Purple Mountain Observatory Chinese Academy of SciencesNanjing 210023China

Identifying strong lensing gravitational wave(SLGW)events is of utmost importance in astrophysics as we approach the historic first detection of SLGW amidst the growing number of gravitational wave(GW)***,one crucial method for identifying SLGW signals involves assessing the overlap of parameters between two ***,the distribution of discrete matter,such as stars and sub-halos,within the strong lensing galaxy can imprint a wave optical(WO)effect on the SLGW *** frequency dependent imprints introduce biases in parameter estimation and impact SLGW *** this study,we assess the influence of the stellar microlensing field embedded in a strong lensing *** findings demonstrate that the WO effect reduces the detection efficiency of SLGW by 5%-50%for various false alarm probabilities per pair(FAPper pair).Specifically,at an FAPper pairof 10^(-5),the detection efficiency decreases from~10%to~5%.Consequently,the presence of the microlensing field can result in missing half of the strong lensing ***,the microlensing WO effect introduces a noticeable bias in intrinsic parameters,particularly for chirp mass and mass ***,it has tiny influence on extrinsic *** all parameters,~30%of events exhibit a 1σparameter bias,~12.exhibit a 2.parameter bias,and~5%exhibit a 3σparameter bias.

关键词： gravitational wave gravitational strong lensing gravitational micro lensing wave optical effect

Fuzzy controllers based on some fuzzy implication operators and their response functions

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Progress in Natural science:Materials International 2004年第1期14卷 16-21页

作者： li Hongxing 1*, YOU Fei 1 and PENG jiayin 2.1. {2. of Mathematics, Beijing normal university, Beijing 100875, china 2. {2. of Mathematics, Neijiang Teacher's College, Neijiang 641112. china) Beijing normal Univ Dept Math Beijing 100875 Peoples R China

The fuzzy controllers constructed by 2. fuzzy implication operators based on CRI algorithm and their response functions are discussed. The conclusions show that the fuzzy controllers constructed by 9 fuzzy implication operators are universal approximators to continuous functions and can be used in practical fuzzy control systems. And these 9 fuzzy implication operators except for Einstein operator intersection are all the adjoint pairs of some fuzzy implication operators. Besides, there are 3 other fuzzy controllers formed by fuzzy implication operators being regarded approximately as fitted functions.

关键词： fuzzy implication operators CRI algorithm fuzzy controllers response functions universal approximators

Nonlinear ergodic theorem for semitopological semigroups of non-lipschitzian mappings in Banach spaces

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Chinese science Bulletin 1997年第1期42卷 8-11页

作者： li Gang and MA jipu1. {2. of Mathematics, Yangzhou normal College, Yangzhou 2.5002. china 2. {2. of Mathematics, Nanjing university, Nanjing 2.0093, china department of Mathematics Yangzhou Normal College Yangzhou China department of Mathematics Nanjing University Nanjing China

LET G be a semitopological semigroup, i. e. G is a semigroup with a Hausdorff topology such that for each s∈G the mapping s|→s·t and s|→t·s from G to G are continuous. G is called right reversible if any two closed left ideals of G have non-void intersection. In this case, (G,≤) is a directed system when the binary relation '≤' on G is defined by a≤b if and only if Let E be the uniformly convex Banach space

关键词： nonlinear semigroup ergodic theorem non-lipschitzian mapping.

Theoretical study on the reaction mechanism of (CH3)3CO(.) radical with NO

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science china Chemistry 2004年第4期47卷 289-294页

作者： ZHAO Hongmei1,2. liU Kun1, SUN Chengke1 & li Zonghe1 1. {2. of Chemistry, Beijing normal university, Beijing 100875, china 2. {2. of Chemistry, Beihua university, jilin 132.13, china 1. department of Chemistry Beijing Normal University 100875 Beijing China 2. department of Chemistry Beihua University 132013 Jilin China

The reaction mechanism of (CH3)3CO? radical with NO is theoretically investigated at the B3LYP/6-31G* level. The results show that the reaction is multi-channel in the single state and triplet state. The potential energy surfaces of reaction paths in the single state are lower than that in the triple state. The balance reaction: (CH3)3CONO(CH3)3CO?+NO, whose potential energy surface is the lowest in all the reaction paths, makes the probability of measuring (CH3)3CO? radical increase. So NO may be considered as a stabilizing reagent for the (CH3)3CO? radical.

关键词： (CH3)3CO. radical DFT reaction mechanism NO

The spectrum for overlarge sets of directed triple systems

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science china Mathematics 2007年第10期50卷 1369-1381页

作者： Zi-hong TIAN~(1+) li-jun ji~2.~1 Institute of Mathematics,Hebei {2. university,Shijiazhuang 050016,china ~2.department of Mathematics,Suzhou university,Suzhou 2.5006,china 1. Institute of Mathematics Hebei Normal University Shijiazhuang 050016 China 2. department of Mathematics Suzhou University Suzhou 215006 China

A directed triple system of order v, denoted by DTS(v, λ), is a pair (X,B) where X is a v-set and B is a collection of transitive triples on X such that every ordered pair of X belongs to λ triples of B. An overlarge set of disjoint DTS(v, λ), denoted by OLDTS(v, λ), is a collection {(Y\{y}, Ai)}i,such that Y is a (v + 1)-set, each (Y\{y}, Ai) is a DTS(v, λ) and all Ai's form a partition of all transitive triples of Y. In this paper, we shall discuss the existence problem of OLDTS(v, λ) and give the following conclusion: there exists an OLDTS(v, λ) if and only if either λ = 1 and v = 0, 1 (mod 3), or λ = 3 and v≠2.

关键词： overlarge set directed triple system directed candelabra system