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Faber polynomials with applications to univalent functions with quasiconformal extensions

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Science china mathematics 2009年第11期52卷 2121-2131页

作者： SHEN YuLiang department of mathematics, Soochow university, suzhou 215006, china department of mathematics Soochow University Suzhou China

We obtain some convergence properties concerning Faber polynomials and apply them to studying univalent functions with quasiconformal extensions. In particular, by introducing an operator on the usual l2 space, we obt... 详细信息

关键词： univalent function quasiconformal mapping Faber polynomial Grunsky operator 30C62 30C55 47B37

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Finite groups in which elements of the same order outside the center are conjugate

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Science china mathematics 2007年第10期50卷 1493-1500页

作者： Xing-zhong YOU~1 Guo-hua QIAN~2 Wu-jie SHI~(3+) ~1 School of mathematics and Computing Science,Changsha university of Science and Technology,Changsha 410076,china ~2 department of mathematics,Changshu Institute of Technology,Changshu 215500,china ~3 School of mathematics,suzhou university,suzhou 215006,china School of mathematics and Computing Science Changsha University of Science and Technology Changsha China department of mathematics Changshu Institute of Technology Changshu China School of mathematics Suzhou University Suzhou China

We prove that if G is a finite group in which the elements of the same order outside the center are conjugate, then either G is abelian or G ≌ S3.

关键词： finite group, rational group, conjugacy class

CLASSICAL　VERIGIN　PROBLEM　AS　A　LIMIT　CASE　OF　VERIGIN　PROBLEM　WITH　SURFACE　TENSION　AT　FREE　BOUNDARY

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Applied mathematics(A Journal of Chinese Universities) 1996年第3期11卷 307-322页

作者： TAO YOUSHAN AND YI FAHUAI(department of mathematics,suzhou university, suzhou 215006.) department of mathematics Suzhou University Suzhou

In this paper we consider Verigin problem with surfaCe tension at freeboundary:where Ω1(t),Ω2(t) are regions of water and oil respectivelyl Γt is a free boundarybetween Ω1(t) and Ω2(t).Let Ω=Ω1(t) ∪Γt∪Ω1(t) be a bounded annular domainin R2, Ω2(t) is inside. nt is a normal of Γt, Pointing inwards Ω2(t),P1 and P2 arepressures of water and oil, μ1 and μ2 are viscosities of water and oil respectively, k isthe permeability, φ is the porosity, K and Vn are the curvature and the normal velocityof Γt in the direction of *** prove that the classical Verigin problem is the limit case(s-0) of Veriginproblem with surfaCe tension at free boundary.

关键词： Verigin problem,surface tension model problem,n6chet derivative.

Conservation laws for mechanical systems with unilateral holonomic constraints

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Progress in Natural Science:Materials International 2004年第1期14卷 56-60页

作者： ZHANG Yi*(department of Civil Engineering, university of Science and Technology of suzhou, suzhou 215011, china) Univ Sci & Technol suzhou Dept Civil Engn Suzhou 215011 Peoples R China

A general approach to the construction of conservation laws for mechanical systems with unilateral holonomic constraints by finding corresponding integrating factors is presented. The definition of integrating factors for the Routh equations of motion of the systems is given, and the necessary conditions for the existence of conserved quantities of the unilateral holonomic constraint systems are studied in detail. The conservation theorem and its inverse for the systems are established, and an example is given to illustrate the application of the results.

关键词： unilateral holonomic constraint integrating factor conservation theorem Killing equation

Preparation and Structure of[(C5H4Me)2Sm(THF)(DME)][BPh4]

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Journal of Rare Earths 1999年第2期17卷 14-17页

作者： Yuan Fugen (department of Chemistry, suzhou Railway Teachers College, suzhou 215009, china)Shen Qi (School of Chemistry and Chemical Engineering,suzhou university,suzhou 215006,china)Sun Jie (Shanghai Institute of Organic Chemistry,Chinese Acade department of Chemistry Suzhou Railway Teachers College Suzhou 215009 China School of Chemistry and Chemical Engineering Suzhou University Suzhou 215006 China Shanghai Institute of Organic Chemistry Chinese Academy of Sciences Shanghai 200032 China

Ｔｈｅｃｈｅｍｉｓｔｒｙｏｆｃａｔｉｏｎｉｃｃｏｍｐｌｅｘｅｓｆｏｒｔｒａｎｓｉｔｉｏｎｍｅｔａｌｓａｎｄａｃｔｉｎｉｄｅｅｌｅｍｅｎｔｓｈａｓｄｅｖｅｌｏｐｅｄｒａｐｉｄｌｙ．Ｔｈｉｓｉｎｔｅｒｅｓｔａｒｉｓｅｓ... 详细信息

Ｔｈｅｃｈｅｍｉｓｔｒｙｏｆｃａｔｉｏｎｉｃｃｏｍｐｌｅｘｅｓｆｏｒｔｒａｎｓｉｔｉｏｎｍｅｔａｌｓａｎｄａｃｔｉｎｉｄｅｅｌｅｍｅｎｔｓｈａｓｄｅｖｅｌｏｐｅｄｒａｐｉｄｌｙ．Ｔｈｉｓｉｎｔｅｒｅｓｔａｒｉｓｅｓｆｒｏｍｔｈｅｓｕｇｇｅｓｔｉｏｎ...

关键词： Rare earths Cationic complex Samarium Methylcyclopentadienyl Crystal structure

Crystal Structure of 1-Methyl-5-phenylhydantoin

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Chinese Journal of Structural Chemistry 2000年第4期19卷 249-252页

作者： QIU Li Hua * (department of Chemistry, suzhou Medical College, suzhou, 215007) [WT4”BZ]GE Jian Feng ZHANG De Chun ZOU Jian Ping (department of Chemistry, suzhou university, suzhou, 215006) 苏州医学院江苏苏州 2 1 50 0 7 苏州大学江苏苏州 2 1 50 0 6

The title compound (C 10H 10N 2O 2 , M r =190.20), 1 methyl 5 phenylhydantoin (1 methyl 5 phenyl 2, 4 imidazolidinedione) was synthesized by the reaction of 2 hydroxy 2 methylthio acetophenone ( α benzoyl hemithioacetal) with methylurea in slightly acidic medium. The crystal was crystallized in the orthorhombic system, space group Pbca with parameters a=18.077(5), b=14.386(2), c=7.035(1), Z=8, V=1829(1) 3, D c =1.381 g/cm 3, μ (Mo Kα )=0.99cm -1, F(000)=800, R=0.040, R w =0.050 for 1395 observed reflections [ I>3σ(I )]. It consists of a planar benzene ring and an imidazole ring, whose dihedral angle is 96.32°. In the title crystal, the glide c related molecules ( x, 1/2-y, -1/2+z ) form chains, which are further related by the screw axis ( 1-x, 1/2+y, 1/2-z ), forming networks along the bc plane. The networks are centrosymmetrically packed (1- x, -y, -z).

关键词： crystal structure 1 methyl 5 phenylhydantoin bioelectric activity.

Clustering and Synchronization in an Array of Repulsively Coupled Phase Oscillators

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Communications in Theoretical Physics 2007年第7期48卷 159-162页

作者： LI Juan WU Liang ZHU Shi-Qun School of Physical Science and Technology,suzhou university,suzhou 215006,china School of Physical Science and Technology Suzhou University Suzhou 215006 China

Clustering and synchronization in an array of repulsively coupled phase oscillators are numerically *** is found that oscillators are divided into several clusters according to the symmetry in the *** occurs between oscillators in each cluster,while those oscillators belonging to different clusters *** synchronization may collapse for all clusters when the dynamics of only one oscillator is *** synchronous state may return back after a short period of transient *** is determined by thestrength of the oscillator *** application in the communication of one-to-several is suggested.

关键词： phase oscillators clustering synchronization