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Universal approximation of polygonal fuzzy neural networks in sense of K-integral norms

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science china(Information sciences) 2011年第11期54卷 2307-2323页

作者： WANG GuiJun 1 & LI XiaoPing 2 1 School of Mathematics science,tianjin normal university,tianjin 300387,china 2 School of Management,tianjin normal university,tianjin 300387,china School of Mathematics science Tianjin Normal University Tianjin China School of Management Tianjin Normal University Tianjin China

In this paper,we introduce polygonal fuzzy numbers to overcome the operational complexity of ordinary fuzzy numbers,and obtain two important inequalities by taking advantage of their fine *** presenting an actual example,we demonstrate that the approximation capability of polygonal fuzzy numbers is ***,the concepts of K-quasi-additive integrals and K-integral norms are *** the polygonal fuzzy numbers space satisfies separability,the density problems for several functions spaces can be studied,by means of fuzzy-valued simple functions and fuzzy-valued Bernstein *** establish that the class of the integrally-bounded fuzzy-valued functions spans a complete and separable metric space in the K-integral ***,in the sense of K-integral norms,the universal approximation of fourlayer regular polygonal fuzzy neural networks for fuzzy-valued simple functions is ***,we show that this type of networks also possesses universal approximation for the class of integrally-bounded fuzzyvalued *** result indicates that the approximation capability which regular polygonal fuzzy neural networks for continuous fuzzy systems can be extended as for general integrable systems.

关键词： polygonal fuzzy numbers K-quasi-additive integrals K-integral norms polygonal fuzzy neural networks universal approximations

Structural modulation of Cd(Ⅱ) supramolecular frameworks with a versatile 2,4-dipyridyl-type building block and different dicarboxylate ligands

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science china Chemistry 2009年第9期52卷 1470-1478,1523-1524页

作者： LI ChengPeng, YU Qian & DU Miao college of Chemistry and Life science, tianjin Key Laboratory of Structure and Performance for Functional Molecule, tianjin normal university, tianjin 300387, china college of Chemistry and Life science Tianjin Key Laboratory of Structure and Performance for Functional Molecule Tianjin Normal University Tianjin China

A series of Cd(Ⅱ) coordination complexes with an elongated 2,4-dipyridyl-type building block trans-1-(2-pyridyl)-2-(4-pyridyl)ethylene (bpe) and different dicarboxylate ligands have been presented. Generally, bpe shows the unidentate coordination mode and serves as the terminal pendant, whereas the dicarboxylate ligands display various binding fashions to interlink the metal centers to form 1-D comb-like chain, ribbon, and fishbone arrays, as well as 2-D 44 and 4.82 layered networks. Notably, the bpe building block is also involved in secondary interactions such as hydrogen bonding and aromatic stacking to construct the resulting supramolecular architectures. Thermal stability of these complexes has been studied by TG-DTA technique.

关键词： crystal engineering coordination supramolecular framework Cd(Ⅱ) complex secondary interaction thermal stability

K-quasi-additive fuzzy integrals of set-valued mappings

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Progress in Natural science:Materials International 2006年第2期16卷 125-132页

作者： WANG Guijun and LI Xiaoping ( School of Mathematics science, tianjin normal university, tianjin 300074, china School of Management, tianjin normal university, tianjin 300074, china) School of Mathematics science Tianjin Normal University Tianjin 300074 China School of Management Tianjin Normal University Tianjin 300074 China

We first define the quasi-addition and quasi-multiplication operations by introducing the inductive operator, and then, in the K-quasi-additive fuzzy measure space, we establish the K-quasi-additive fuzzy integral of a generally measurable set-valued mapping. Applying the integral transformation theorem, some basic properties of the K-quasi-additive fuzzy integrals with respect to this kind of set-valued mapping are studied. Finally, the generalized monotone convergence theorems of this kind of fuzzy integrals are obtained.

关键词： set-valued mapping inductive operator integrable selections K-quasi-additive fuzzy integrals.

Raising medium function of environmental engineering by using life rubbish to produce carpet turf

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Journal of Environmental sciences 2000年第4期12卷 498-505页

作者： DUO Li an, ZHAO Shu lan (college of Chemistry and Biology, tianjin normal university, tianjin 300074, china) 天津师范大学天津 3 0 0 0 74

Abundant material with low cost was utilized to raise medium function of producing carpet turf by life rubbish. The results showed that the material used could strikingly raise water retentiveness and ventilating of medium. Through the determination of the effect of each growth index of several turfgrass, emergence density, plant height, root growth and individual plant′s net primary production were all positively related to the material′s amount mixed, showing that the mixture of material could promote turfgrass growth, further proving that the material used raised medium function of producing carpet turf by life rubbish and made most use of life rubbish resources. It provided a scientific base is for application of environmental engineering by using life rubbish to produce carpet turf. So the study had both important theoretic meaning and applied value.

关键词： life rubbish carpet turf medium function environmental engineering

The effects of modulation period,modulation ratio,and deposition temperature on microstructure and mechanical properties of ZrB_2/W multilayers

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science china(Technological sciences) 2010年第9期53卷 2350-2354页

作者： LIU MengYin,TAN Ming,LIU GuangQing,WANG HaiYuan,XUE FengYing,DENG XiangYun & LI DeJun college of Physics and Electronic Information science,tianjin normal university,tianjin 300387,china college of Physics and Electronic Information science Tianjin Normal University Tianjin China

Monolithic ZrB2,W coatings and ZrB2/W multilayers with different modulation periods and modulation ratios were synthesized by ion beam assisted deposition at room temperature and 400°C.X-ray diffraction (XRD),scanning electron microscopy (SEM),surface profiler,and nanoindention were employed to investigate the influences of the deposition temperature and the modulation period on the growth,textures,interface structure,and mechanical properties of the *** results indicated that the multilayer with modulation period of 13 nm synthesized at room temperature possessed a higher hardness of 23.8 *** temperature gave a significant contribution to mechanical property *** 400°C-deposition temperature led to a maximum hardness and elastic modulus value of 32.1 and 399.1 GPa for ZrB2/W multilayer with a modulation period of 6.7 *** critical load increased to 42.8 mN and residual stress decreased to -0.7 GPa.A higher deposition temperature can cause an increase in interfacial atomic mixture and mobility of surface species,which induceds an increase in areal atomic density and dislocation *** results as well as small nanoscale grain sizes should be related to hardness increase.

关键词： ion beam assisted deposition nanoscale multilayers modulation period modulation ratio deposition temperature hardness

Search for B_c (ns) via the B_c (ns) → B_c (ms) π^+ π^- transition at LHCb and Z^0 factory

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science china(Physics,Mechanics & Astronomy) 2010年第11期53卷 2019-2024页

作者： KE HongWei 1 & LI XueQian 2 1 School of science,tianjin university,tianjin 300072,china 2 School of Physics,Nankai university,tianjin 300071,china School of science Tianjin University Tianjin China School of Physics Nankai University Tianjin China

It is interesting to study the characteristics of the whole family of B c which contains two different heavy *** and the proposed Z 0 factory provide an opportunity because a large database of the B c family will be achieved.B c and its excited states can be identified via their decay *** suggested by experimentalists,B-c (ns) → B c +γ is not easy to be clearly measured,instead,the trajectories of π + and π- occurring in the decay of B c (ns) → B c (ms) + π + π( n > m ) can be unambiguously identified,thus the measurement seems easier and more reliable;therefore this mode is more favorable at the early running stage of LHCb and the proposed Z 0 *** this work,we calculate the rate of B c (ns) → B c (ms) + π + π-in terms of the QCD multipole-expansion and the numerical results indicate that the experimental measurements with the luminosity of LHC and Z 0 factory are feasible.

关键词： meson hadronic decay QCD multipole-expansion

A theorem of Fong's type for graded algebras

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science china Mathematics 2005年第5期48卷 577-582页

作者： FAN Yun & ZHU Ping School of Mathematics and Statistics, Central china normal university, Wuhan 430079, china School of mathematical science, Nankai university, tianjin 300071, china School of Mathematics and Statistics Central China Normal University Wuhan China School of mathematical science Nankai University Tianjin China

Let G be a finite p-solvable group and k be an algebraic closed field of characteristic p. It is proved that any projective indecomposable module of a G-graded k-algebra is an induced module of a module of the subalgebra graded by a Hall p′-subgroup. A necessary and sufficient condition for the indecomposability of an induced module from a Hall p′-subgroup is obtained.

关键词： group graded algebra indecomposable induced module primitive idempotent.

APPLICATION OF REMOTE SENSING TECHNOLOGY TO POPULATION ESTIMATION

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Chinese Geographical science 2003年第3期13卷 267-271页

作者： ZHANG Bao-guang(college of Urban and Environmental science, tianjin normal university, tianjin 300074, P. R. china) college of Urban and Environmental science Tianjin Normal University Tianjin P. R. China

This paper attempts to explore a new avenue of urban small-regional population estimation by remote sensing technology, creatively and comprehensively for the first time using a residence count method, area (density) method and model method, incorporating the application experience of American scholars in the light of the state of our country. Firstly, the author proposes theoretical basis for population estimation by remote sensing, on the basis of analysing and evaluating the history and state quo of application of methods of population estimation by remote sensing. Secondly, two original types of mathematical models of population estimation are developed on the basis of remote sensing data, taking tianjin City as an example. By both of the mathematical models the regional population may be estimated from remote sensing variable values with high accuracy. The number of the independent variables in the latter model is somewhat smaller and the collection of remote sensing data is somewhat easier, but the deviation is a little larger. Finally, some viewpoints on the principled problems about the practical application of remote sensing to population estimation are put forward.

关键词： remote sensing technology population estimation mathematical model

RuCl_3·3H_2O Mediated Olefin Isomerizations in Ionic Liquids: A Highly Recyclable System for Olefin Isomerizations

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Chemical Research in Chinese Universities 2012年第1期28卷 67-69页

作者： SHAO Ming-bo1, LIU Gui-yan2, ZHAO Jing-jing1, WANG Xiao-yu1 and WANG Jian-hui1 1. Department of Chemistry, college of science, tianjin university, tianjin 300072, P. R. china 2. tianjin Key Laboratory of Structure and Performance for Functional Molecule, college of Chemistry, tianjin normal university, tianjin 300387, P. R. china Department of Chemistry College of Science Tianjin University Tianjin 300072 college of Chemistry Tianjin Normal University Tianjin Key Laboratory of Structure and Performance for Functional Molecule Tianjin 300387

Herein lies a convenient and highly efficient method of olefin isomerization in the presence of RuCl3？3H2O in ionic liquid（IL）. More importantly, RuCl3？3H2O is a robust and recyclable catalyst. Nine cycles of RuCl... 详细信息

关键词： Ruthenium trichloride Ionic liquid Olefin isomerization