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Local connectivity of Julia sets for a family of biquadratic polynomials

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Science China mathematics 2007年第10期50卷 1477-1492页

作者： Jing L~(1+) Wei-yuan QIU~2.~1 department of Basic Education,Shanghai Maritime university,Shanghai 2.0000,China ~2.{2.,Fudan university,Shanghai 2.0433,China department of Basic Education Shanghai Maritime University Shanghai China department of mathematics Fudan University Shanghai China

The local connectivity of Julia sets for the family of biquadratic polynomials f_c(z)= (z^2.2.^2.z^2.with a parameter c is *** is proved that for any parameter c,the boundary of the immediately attracting domain of f_... 详细信息

关键词： biquadratic polynomials Julia sets local connectivity

A New Lie Algebra and a Way to Generate Multiple Integrable Couplings

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Communications in Theoretical Physics 2007年第12期48卷 979-982页

作者： FENG Bin-Lu~(1,2.and HAN Bo~1~1 department of mathematics,Harbin Institute of Technology,Harbin 150001,China~2.department of mathematics,Weifang {2.,Weifang 2.1000,China department of mathematics Harbin Institute of Technology Harbin 150001 China department of mathematics Weifang University Weifang 261000 China

A new higher-dimensional Lie algebra is constructed,which is used to generate multiple integrable *** this,we come to a general approach for seeking multi-integrable couplings of the known integrablesoliton equations.

关键词： Lie algebra integrable hierarchy Hamiltonian structure

ALGORITHMS FOR IMPLEMENTATION OF GENERAL LIMIT REPRESENTATIONS OF GENERALIZED INVERSES

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Journal of Computational mathematics 2001年第6期19卷 561-570页

作者： Predarg S. Stanimirovic (university of Nis, Faculty of Science, department of mathematics, Cirila i Metodija 2. 18000 Nis, Yugoslavia ) university of Nis 南斯拉夫

Investigates three various algorithms for computation and implementation of general limit representations of generalized inverses. Introduction and preliminaries; Details of the generalized imbedding method; Limit rep... 详细信息

关键词： Generalized inverses Limit representation Finite algorithm Imbedding method.

OPTIMIZATION OF ADAPTIVE DIRECT METHOD FOR APPROXIMATE SOLUTION OF INTEGRAL EQUATIONS OF SEVERAL VARIABLES

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Acta Mathematica Scientia 2004年第2期24卷 228-234页

作者：马万房艮孙 departmentofmathematics BeijingNormalUniversityBeijing100875China

This paper determines the exact error order on optimization of adaptive direct methods of approximate solution of the class of Fredholm integral equations of the second kind with kernel belonging to the anisotropic So... 详细信息

关键词： Integral equations direct methods anisotropic sobolev classes

On Reverses of the L_p-Busemann-Petty Centroid Inequality and Its Applications

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Wuhan university Journal of Natural Sciences 2010年第4期15卷 292-296页

作者： WANG Weidong1,2.1. department of mathematics, China Three Gorges university, Yichang 443002. Hubei, China 2. department of mathematics, Hubei university for Nationalities, Enshi 445000, Hubei, China department of mathematics China Three Gorges University Yichang Hubei China department of mathematics Hubei University for Nationalities Enshi Hubei China

In this paper,the reverse forms of the L p-Busemann-Petty centroid inequality are shown. As the applications of the reverse forms,we obtain the reverse forms of the L p-centroid-affine inequality and an upper bound of... 详细信息

关键词： convex body reverse form L p-Busemann-Petty centroid inequality L p-centroid-affine inequality isotropic constant

The regular representation and regular covariant representation of crossed products of Woronowicz C^(*)-algebras

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Science China mathematics 2005年第9期48卷 1245-1259页

作者： ZHANG Xiaoxia~(1,2. & GUO Maozheng~(1,3) 1. School of Mathematical Sciences,Peking university,Beijing 100871,China 2. department of mathematics,Yantai university,Yantai 2.4005,China 3. LMAM,Peking university,Beijing 100871,China School of Mathematical Sciences Peking University Beijing China department of mathematics Yantai University Yantai China LMAM Peking University Beijing China

In this paper,it is shown that the regular representation and regular covariant representation of the crossed products A×α G correspond to the twisted multiplicative unitary operators,where A is a Woronowicz C~*-algebra acted upon by a discrete group ***,it is also shown that the regular covariant C~*-algebra is the Woronowicz C~*-algebra which corresponds to a multiplicative ***,an explicit description of the multiplicative unitary operator for C(SU_q(2. )×α (?) is given in terms of those of the Woronowicz C~*-algebra C(SU_q(2. ) and the discrete group G.

关键词： multiplicative unitary operator, Woronowicz C*-algebra, crossed product.

A family of transitive modular Lie superalgebras with depth one

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Science China mathematics 2007年第10期50卷 1451-1466页

作者： Wen-de LIU~(1+) Yong-zheng ZHANG~2.~1 department of mathematics,Harbin Normal university,Harbin 150080,China ~2.department of mathematics,Northeast Normal university,Changchun 13002.,China department of mathematics Harbin Normal University Harbin China department of mathematics Northeast Normal University Changchun China

The embedding theorem is established for Z-graded transitive modular Lie superalgebras g■■■(g-1)satisfying the conditions: (i)g0■■(g-1) and g0-module g-1 is isomorphic to the natural■(g-1)-module; (ii)dim g1=2.3n(2.^2.1),where n=1/2.im g-1. In particular,it is proved that the finite-dimensional simple modular Lie superalgebras satisfying the conditions above are isomorphic to the odd Hamiltonian *** restricted Lie superalgebras are also considered.

关键词： flag, divided power algebra, modular Lie superalgebra, embedding theorem

Distribution of actinomycetes in oil contaminated ultisols of the Niger Delta(Nigeria)

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Journal of Environmental Sciences 2000年第3期12卷 296-302页

作者： J.P. Essien 1, E. D. Udosen 2.(1. department of Microbiology, university of Uyo, Nigeria 2. department of Chemistry and Biochemistry, university of Uyo,Nigeria) department of Microbiology University of Uyo Nigeria department of Chemistry and Biochemistry University of Uyo Nigeria

The distribution of actinomycetes in oil contaminated sandy loam ultisols of the Niger Delta region of Nigeria was studied to aid in understanding the effect of hydrocarbons on indigenous microbial population in tropical soils. The average total counts of actinomycetes in all the oil samples analysed was 10 3 cfu/g. Higher counts of actinomycetes were observed during the dry season than during the wet season. The counts of hydrocarbonoclastic actinomycetes correlated positively with the total count of actinomycetes. The actinomycetes were generally restricted to the top soil(0—10 cm soil depth) although a seemingly deeper(down to 40 cm soil depth) distribution was noticed in the dry season. The isolates included oil degrading species of Actinoplanes, Norcadia, Streptomyces and Streptosporangium. Their high oil utilization ability indicates their positive potential and role in the bioremediation of oil spilled soils.

关键词： actinomycetes oil contaminated ultisols

VERTEX-PRIMITIVE 1/2.TRANSITIVE GRAPHS

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Systems Science and Mathematical Sciences 1996年第1期9卷 76-82页

作者： DU Shaofei(department of mathematics, shanxi {2., Taiyuan 030006, China) 山西大学数学系山西太原 030006

ＶＥＲＴＥＸ－ＰＲＩＭＩＴＩＶＥ１／２－ＴＲＡＮＳＩＴＩＶＥＧＲＡＰＨＳ￥ＤＵＳｈａｏｆｅｉ（ＤｅｐｏｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｈａｎｘｉＵｎｉｖｅｒｓｉｔｙ，Ｔａｉｙｕａｎ０３０００６，Ｃｈｉｎａ）... 详细信息

ＶＥＲＴＥＸ－ＰＲＩＭＩＴＩＶＥ１／２－ＴＲＡＮＳＩＴＩＶＥＧＲＡＰＨＳ￥ＤＵＳｈａｏｆｅｉ（ＤｅｐｏｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｈａｎｘｉＵｎｉｖｅｒｓｉｔｙ，Ｔａｉｙｕａｎ０３０００６，Ｃｈｉｎａ）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉｓｐａ...

关键词： transitive graph orbital graph primitive group.