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Additive characters and orthogonal systems of polynomials in several indeterminates over residue class rings

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Chinese Science Bulletin 1998年第4期43卷 275-277页

作者： HONG Shaofang Department of Mathematics, sichuan university, chengdu 610064,{{2. Department of Matherrratics Sichuan University Chcngdu China

Let m, n and k be positive integers, m>1 and k≤n . Let Z m =Z/ m Z denote the residue class ring modulo m . Let Z denote the group of additive characters of ring Z m , x 0 denote the identity of Z . A necessary and sufficient condition for the system f\-1, ..., f\-k∈ Z m [ x\-1, ..., x\-n ] to be orthogonal is given: for all additive characters ψ 1, ..., ψ k ∈Z with ψ i≠x 0 for some i, 1≤i≤k, ∑(c\-1, ..., c\-n)∈ Z n m ψ(f\-1(c\-1, ..., c\-n))...ψ k(f\-k(c\-1, ..., c\-n))=0. As corollaries, the result of Shiue_Sun_Zhang and the result of Sun are obtained.

关键词： orthogonal system additive character permutation polynomial Jacobi matrix.

A Method for Obtaining Three-dimensional Images with Visual Reality of Real Objects

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Chinese Journal of Lasers 1999年第5期8卷 425-430页

作者： HUANG Qiong SU Xianyu(Department of Opto-electronics, sichuan university, chengdu 610064,{{2.) 四川大学光电子系四川成都 610064 四川大学光电子系四川成都

A new method to remove the shadows in laser triangulation and a computer model for three-dimensional images with visual reality of three-dimensional diffuse objects are presented. The methods for acquiring color data in optical three-dimensional sensing are discussed A method for obtaining three-dimensional images with visual reality of real objects is presented The principles, the system structure and the experimental results are provided.

关键词： three-dimensional sensing laser triangulation shadow three-dimensional images with visual reality

Diffusion Equation on Fractals:Three-Dimensional Case

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Communications in Nonlinear Science and Numerical Simulation 1999年第3期4卷 3-5页

作者： Qiuhua ZENG and Houqiang LI(Department of Physics, sichuan university, chengdu 610064,{{2.) Department of Physics Sichuan University ChengDu 610064 China

IntroductionInrecentyearsthephenomenonofunusualtrajnsport-prop***onindisorderedmediaorfractalmedia,anomalousdiffusionistheoretic... 详细信息

IntroductionInrecentyearsthephenomenonofunusualtrajnsport-prop***onindisorderedmediaorfractalmedia,anomalousdiffusionistheoretic...

关键词： comb model probability density diffusion on fractals

Cartesian closedness of categories of completely distributive lattices

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Chinese Science Bulletin 1998年第24期43卷 2059-2063页

作者： ZHANG Dexue 1 and YANG Zhongqiang 2.1. Department of Mathematics, sichuan university,{2.,{2. 2. Department of Mathematics, Shaanxi Normal university, Xi’an 710062.{2. Department of Mathematics Sichuan University Chengdu China Department of Mathematics Shaanxi Normal University Xi’an China

The category of completely distributive lattices with Scott continuous functions is cartesian closed. Neither the category of completely distributive lattices with arbitrary union preserving mappings nor the category ... 详细信息

关键词： completely distributive lattice continuous lattice cartesian closedness.

Anomalous Fractional Diffusion Equation forTransport Phenomena

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Communications in Nonlinear Science and Numerical Simulation 1999年第2期4卷 99-104页

作者： Qiuhua ZENG Houqiang LI De LIU(Department of Physics, sichuan university, chengdu 610064,{{2.) Department of Physics Sichuan University ChengDu 610064 China

We derive the standard diffusion equation from the continuity equationand by discussing the defectiveness of earlier proposed equations, we get the generalizedfractional diffusion equation for anomalous diffusion.

关键词： fractal lattice probability density fractal anomalous diffusion

Theoretical study on the hydrolysis mechanism of N,N-dimethyl-N′-(2.,3′-dideoxy-3′-thiacytidine)formamidine

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Science china Chemistry 2008年第10期51卷 911-917页

作者： ZHANG Chang1 & XUE Ying2. 1 College of Chemistry and Environment Protection Engineering, Southwest university for Nationalities, {2. 610041,{2. 2.College of Chemistry, sichuan university, chengdu 610064,{2. 1. College of Chemistry and Environment Protection Engineering Southwest University for Nationalities Chengdu 610041 China 2. College of Chemistry Sichuan University Chengdu 610064 China

The hydrolysis mechanisms of N,N-dimethyl-N′-(2.,3′-dideoxy-3′-thiacytidine)formamidine (FA-3TC) in the gas phase and in aqueous solution were studied by use of the density functional theory B3LYP/6-31+G(d, p) method. Two possible reaction pathways in the title reaction were considered. In one pathway water attacks the C=N double bond first (path A) while in the other water attacks the C—N single bond first (path B). The calculated results indicate that the first step in both pathways is the rate-limiting process and path A is more favorable than path B in the gas phase. The effect of solvent water on the title reaction was assessed at the B3LYP/6-31+G(d, p) level of theory based on the po-larizable continuum model (CPCM). In water the first mechanism (path A) is also favored.

关键词： N N-dimethyl-N′-(2. 3′-dideoxy-3′-thiacytidine)formamidine hydrolysis solvent effect B3LYP polarizable continuum model

Cardinal invariants associated with Fubini product of ideals

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Science china Mathematics 2010年第2期53卷 425-430页

作者： HONG JianYong & ZHANG ShuGuo College of Mathematics, sichuan university, chengdu 610064,{{2. 1. College of Mathematics Sichuan University Chengdu 610064 China

We prove some results displaying the relationship between Fubini product of ideals and its factor ideals, and study a partial order using the cardinal invariant of the continuum. The relationships among transitive car... 详细信息

关键词： cardinal invariant continuum Fubini product

Nonlinear Analysis on Vertical Distribution of Suspended Load

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Communications in Nonlinear Science and Numerical Simulation 1998年第2期3卷 19-23页

作者： Fuquan WANG, Houqiang LI and Jing DING (sichuan Union university,{{2.,610064,china) sichuan Union university Chengdu 610064 China

ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｓｔｕｄｉｅｓｏｎｖｅｒｔｉｃａｌｄｉｓｔｒｉｂｕｔｉｏｎｏｆｓｅｄｉｍｅｎｔｉｎｎａｔｕｒａｌｒｉｖｅｒｓｈａｖｅｉｍｐｏｒｔａｎｔｔｈｅｏｒｅｔｉｃａｌｍｅａｎｉｎｇｓａｎｄｅｎｇ... 详细信息

ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｓｔｕｄｉｅｓｏｎｖｅｒｔｉｃａｌｄｉｓｔｒｉｂｕｔｉｏｎｏｆｓｅｄｉｍｅｎｔｉｎｎａｔｕｒａｌｒｉｖｅｒｓｈａｖｅｉｍｐｏｒｔａｎｔｔｈｅｏｒｅｔｉｃａｌｍｅａｎｉｎｇｓａｎｄｅｎｇｉｎｅｒｉｎｇａｐｐｌｉｃａｔｉｏ...

关键词： turbulence fractal sediment vertical distribution

Characteristic analysis for a polynomial-like iterative equation

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Chinese Science Bulletin 1998年第3期43卷 192-196页

作者： Janusz Matkowski 1 and ZHANG Weinian 2.1. Department of Mathematics, Technical university, 43_300 Bielsko_Biala, Poland 2. Department of Mathematics, sichuan Union university, chengdu 610064, china Department of Mathematics Technical University Bielsko-Biala Poland Department of Mathematics Sichuan Union University Chengdu China

In the light of Euler’s idea for differential equations,a polynomial_like n _order iterative equation is discussed through analyzing its characteristic polynomial. An unproved result is verified rigorously for the fi... 详细信息

关键词： iterative dynamics functional equation characteristic.