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Difference packing arrays and systematic authentication codes

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Science china Mathematics 2004年第4期47卷 566-577页

作者： YIN JianxingDepartment of Mathematics, suzhou university, suzhou 2.5006, {{2. 1. Department of Mathematics Suzhou University 215006 Suzhou China

In this paper, a type of combinatorial design (called difference packing array)is proposed and used to give a construction of systematic authentication codes. Taking advantage of this construction, some new series of ... 详细信息

关键词： authentication codes, difference packing arrays, constructions.

CLASSICAL SOLUTION OF QUASI-STATIONARY STEFAN PROBLEM

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Chinese Annals of Mathematics,Series B 1996年第2期17卷 175-186页

作者： YI FAHUAI Department of Mathematics, suzhou university, suzhou 2.5006, {{2.. suzhou UNIV DEPT MATHSUZHOU 215006PEOPLES R CHINA

This paper considers the quasi-stationary Stefan problem:△u(x,t)=0 in space-time domain,u=0 and Vv +(?)u/(?)u=0 on the free boundary.Under the natural conditions the existence of classical solution locally in time is proved bymaking use of the property of Frechet derivative operator and fixed point theorem. For thesake of simplicity only the one-phase problem is dealt with. In fact two-phase problem can bedealt with in a similar way with more complicated calculation.

关键词： Classical solution Quasi-stationary Stefan problem Frechet derivative

NUMERICAL ANALYSIS OF NONSTATIONARY THERMISTOR PROBLEM

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Journal of Computational Mathematics 1994年第3期12卷 213-223页

作者： Yue Xingye(suzhou university, suzhou, Jiangsu, {{2.) suzhou UNIV SUZHOUPEOPLES R CHINA

The thermistor problem is a coupled system of nonlinear PDEs which consists of the heat equation with the Joule heating as a source, and the current conservation equation with temperature dependent electrical conductivity. In this paper we make a numerical analysis of the nonsteady thermistor problem. L(infinity)(OMEGA), W1,infinity(OMEGA) stability and error bounds for a piecewise linear finite element approximation are given.

关键词： QT NUMERICAL ANALYSIS OF NONSTATIONARY THERMISTOR PROBLEM Math

A RANDOM FUNCTIONAL CENTRAL LIMIT THEOREM FOR PROCESSES OF PRODUCT SUMS OF LINEAR PROCESSES GENERATED BY MARTINGALE DIFFERENCES

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Chinese Annals of Mathematics,Series B 2003年第4期24卷 449-456页

作者： WANG YUEBAO YANG YANG ZHOU HAIYANG Department of Mathematics, suzhou university, suzhou 2.5006, Jiangsu, {{2.. Department of Mathematics, suzhou university, suzhou 2.5006, Jiangsu, {{2.. suzhou Univ Dept Math Suzhou 215006 Peoples R China

A random functional central limit theorem is obtained for processes of partial sums andproduct sums of linear processes generated by non-stationary martingale differences. It devel-ops and improves some corresponding results on processes of partial sums of linear processesgenerated by strictly stationary martingale differences, which can be found in [5].

关键词： Ilandom functional central limit theorem Processes of product sums

A complexity analysis of the elementary cellular automaton of rule 12.

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Chinese Science Bulletin 2001年第7期46卷 600-603页

作者： JIANG ZhisongMathematics Department, suzhou university, suzhou 2.5006, {{2. Mathematics Department Suzhou University Suzhou China

S. Wolfram initiated the use of formal languages and automata theory in study of cellular automata (CAs). By means of extensive experiments with computer, he classified all CAs into four classes and conjectured that the limit languages of the third class of CAs, which produce chaotic aperiodic behavior, are not regular. Using symbolic dynamics and formal languages, we prove that the limit language of the elementary CA of rule 12. is neither regular nor context-free.

关键词： cellular automaton formal language complexity limit language regular language context-free language.

Weight modules over some Block algebras

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Science china Mathematics 2009年第3期52卷 517-525页

作者： L RenCai Department of Mathematics, suzhou university, suzhou 2.5006, {{2. Department of Mathematics Suzhou University Suzhou 215006 China

In this paper, the Harish-Chandra modules and Verma modules over Block algebra $ \mathfrak{L} $ [G] are investigated. More precisely, the irreducibility of the Verma modules over $ \mathfrak{L} $ [G] is completely det... 详细信息

关键词： Block algebra weight module highest weight module Harish-Chandra module 17B10 17B65 17B68

A characterization of the finite simple groups with set of indices of their maximal subgroups

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Science china Mathematics 2004年第4期47卷 508-522页

作者： LI XianhuaDepartment of Mathematics, suzhou university, suzhou 2.5006, {{2. (email: xhli@***) 1. Department of Mathematics Suzhou University 215006 Suzhou China

We study the problem concerning the influence of indices of maximal subgroups of a simple group on the structure of a group. We obtain a characterization property of all finite simple groups.

关键词： Finite simple group, maximal subgroup, index.

The nonwandering set of some Hénon map

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Chinese Science Bulletin 1999年第7期44卷 590-594页

作者： CAO YongluoDepartment of Mathematics , suzhou university, suzhou 2.5006, {{2. Department of Mathematics Suzhou University Suzhou China

For the Hnon map Ta , b（x, y） = （1- ax2.+ y, bx）, Benedicks and Carleson proved that for （ a, b） near （2. 0） and b > 0, there exists a set E with positive Lebesgue measure, whose corresponding map Ta,b possess... 详细信息

For the Hnon map Ta , b（x, y） = （1- ax2./sup> + y, bx）, Benedicks and Carleson proved that for （ a, b） near （2. 0） and b > 0, there exists a set E with positive Lebesgue measure, whose corresponding map Ta,b possesses a strange attractor. Viana conjectured that if （a, b）∈ E, then the nonwandering set of the map Ta, b, Ω（Ta, b） = Aa,b U {qa, b},where A（a, b） is the strange attractor, qa, b is a hyperbolic fixed point in the third quadrant. It is proved that this conjecture holds true for a positive measure set E1 E.

关键词： strange attractor nonwandering set. basin of attraction.

PRESSURE OF WATER SHORTAGE ON AGRICULTURE IN ARID REGION OF china

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Chinese Geographical Science 2003年第2期13卷 124-129页

作者： LI Xin (university of Science and Technology of suzhou, suzhou 2.5011, P.R.china) university of Science and Technology of suzhou Suzhou P. R. China

The arid areas in china are mainly located in North china and Northwestchina. The North china is the main region for food production. There is 31. 19% of the totalfarmland and 2.. 01% of the total population, but only 6. 14% of the available water resources ofchina. Groundwater is over pumped (6. 53 X 10~9m^3 every year) in the regions of Beijing, Tianjin,and Hebei Province, so water supply could not meet the water demand there. The distribution of waterin Northwest china is uneven, some inland rivers and lakes are dried up, and desertification hasexpanded since river water in the upper and middle reaches is diverted for irrigation. Up to 2.50,population will be up to 1. 6 X 10~9 in china, and industry will be developed fast, therefore 50% ofthe water supply will be used by industry and resident, and water for agriculture will be decreasedyear by year. In the coming 50 years, water demand for agriculture will be increased by 5. 6 x10^9m^3 in the Huanghe (Yellow) River valley, and by 1. 7 x 10~9m^3 in the Northwest china. It willbe impossible for the Huanghe River to meet the water demand, because it always dried up in the coldhalf year since 1984. To avoid water shortage of agriculture in the arid regions, it is necessaryto divert water from the Changjiang (Yangtze) River in the south of china, and to use waterefficiently. It is the best way to use drip irrigation in agriculture, recycle water in industry andresident use, and control water pollution. Otherwise water shortage in the arid regions willrestrict the development of agriculture in china.

关键词： water shortage water demand agriculture arid region of china