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Chinese Annals of Mathematics,Series B 1997年第4期18卷 429-434页

作者： ZHANG XIANG Institute of Mathematics,nanjing normal university,nanjing 210097,China 南京师范大学数学所江苏南京

Two conjectures in the qualitative theory of quadratic differential systems are proved under certain conditions.

关键词： Quadratic system Limit cycle Dulac function

Relationships Between Tidal Prism and Throat Area of Tidal Inlets Along Yellow Sea and Bohai Sea Coasts

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China Ocean Engineering 1996年第2期11卷 229-238页

作者： Zhang Renshun and Wang Yaping Professor, Dept. of Geography, nanjing normal university, nanjing 210024 Lecturer, nanjing normal university, nanjing 210024 Dept. of Geography Nanjing Normal University Nanjing 210024 nanjing normal university Nanjing 210024

The relationship between P (spring tidal prism) and A (throat area below mean sea level) is statistically analysed in terms of 29 tidal inlets or bays along the Huanghai Sea (Yellow Sea) and Bohai Sea coasts. For 15 of these tidal inlets, the best regression equation is A(km2) = 0.845 />(km3)1.20. The analysis shows that C and n are little different from those in the P-A relationship for the inlets of the South China Sea and East China Sea coasts. It is noted that the relationship between P and A is unstable because of the difference in sediment abundance. The study shows that a united P-A relationship can be obtained for the tidal inlets of lagoon type and bay-drowned-valley type, not containing some half-circle shape bays which confront deep water. These half-circle bays do not belong to tidal inlets because they do not have enough sediment abundance and are fairly open.

关键词： tidal inlet P-A relationship Huanghai Sea (Yellow Sea) Bohai Sea

Some new results on planar harmonic mappings

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Science China Mathematics 2010年第3期53卷 597-604页

作者： CHEN HuaiHui Department of Mathematics, nanjing normal university, nanjing 210097, China 1. Department of Mathematics Nanjing Normal University Nanjing 210097 China

This survey paper contains some new results on the Landau theorem, Bloch theorem and Schwarz-Pick lemma for planar harmonic mappings.

关键词： harmonic mapping Landau theorem Bloch constant Schwarz-Pick lemma quasi-regularity

normal Functions and α-normal Functions

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Acta Mathematica Sinica,English Series 2000年第3期16卷 399-404页

作者： Yan Xu Department of Mathematics,nanjing normal university,nanjing 210097 P.R.China Department of Mathematics Nanjing Normal University Nanjing 210097 P. R. China

This paper has studied two open questions about normal functions due to Lappan,and obtained two corresponding results for α-normal functions.

关键词： Spherical derivative normal function α-normal function

A specific family of cyclotomic polynomials of order three

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Science China Mathematics 2010年第9期53卷 2269-2274页

作者： JI ChunGang School of Mathematical Sciences,nanjing normal university,nanjing 210097,China 1. School of Mathematical Sciences Nanjing Normal University Nanjing 210097 China

Let A(n) be the largest absolute value of any coefficient of n-th cyclotomic polynomial Φn(x).We say Φn(x) is flat if A(n) = *** this paper,for odd primes p < q < r and 2r ≡±1(mod pq),we prove that Φpqr(x) is fla... 详细信息

关键词： cyclotomic polynomial flat cyclotomic polynomial ternary cyclotomic polynomial

THERMODYNAMIC FORMALISM FOR SUBADDITIVE SEQUENCE OF DISCONTINUOUS FUNCTIONS

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Analysis in Theory and Applications 2010年第2期26卷 174-185页

作者： Xianfeng Ma (nanjing normal university/East China university of Science and Technology, China) Ercai Chen (nanjing normal university/nanjing university, China) Yu Pei (nanjing normal university, China) 1. School of Mathematics and Computer Science Nanjing Normal Uniersity Nanjing 210097 P. R. China2. Department of Mathematics East China University of Science and Technology Shanghai 200237 P. R. China3. Center of Nonlinear Science Nanjing University Nanjing 210093 P. R. China

The topological pressure for subadditive sequence of discontinuous functions is defined on any invariant subset having a nested family of subsets in the compact metric space. Two subadditive variational principles associated with two different relatively weak conditions are developed for the defined topological pressure. As an application, we give an example on systems with nonzero Lyapunov exponents.

关键词： thermodynamic formalism variational principle topological pressure subadditive sequence of functions

The Inner Developing Logic of Jiangnan Chan Sect——Also on the Relationship Between Jiangnan Chan Sect and Jiangnan Culture

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学术界 2010年第7期 255-258页

作者： Jiang Xiaoyun nanjing normal university

The origins and developments of the Jiangnan Chan sect,which rooted in the natural poetic Jiangnan culture and combined the local cosmic view with exotic metaphysics and Buddhism,has its own inner *** Chan sect owns t... 详细信息

关键词： In Also on the Relationship Between Jiangnan Chan Sect and Jiangnan Culture The Inner Developing Logic of Jiangnan Chan Sect

Regular n-simplices in R^n with vertices in Z^(n)

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Science China Mathematics 2004年第1期47卷 104-113页

作者： XIA Jianguo & QIN HourongDepartment of Mathematics, nanjing normal university, nanjing 210097, China (email: jgxia@***) Department of Mathematics, nanjing university, nanjing 210093, China Dept. of Math. Nanjing Normal Univ. Nanjing 210097 China Dept. of Math. Nanjing Univ. Nanjing 210093 China

In this paper the Ⅰ and Ⅱ regular n-simplices are introduced. We prove that the sufficient and necessary conditions for existence of an Ⅰ regular n-simplex in Rn are that if n is even then n = 4m(m + 1), and if n is odd then n = 4m + 1 with that n + 1 can be expressed as a sum of two integral squares or n = 4m - 1, and that the sufficient and necessary condition for existence of a Ⅱ regular n-simplex in Rn is n = 2m2 - 1 or n = 4m(m+1)(m 6 N). The connection between regulars-simplex in Rn and combinational design is given.

关键词： regular n-simplex in Rn, quadratic form.

On the Resurgence of Universal Ethics in International Politics

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学术界 2010年第11期 253-255页

作者： Liu Xudong nanjing normal university

The essential argument of universal ethics is that a minimal consensus concerning binding values,irrevocable standards and fundamental moral attitudes exist among all the countries,regions and ethnic groups in spite of different religions,cultures and civilizations they are related *** present,although there are many barriers to the establishment of universal ethics,the possibilities and necessities of formulating universal ethics are still quite enormous,which can be justified from both the realistic and idealistic perspectives.

关键词： In On the Resurgence of Universal Ethics in International Politics

Characterizations of α-Bloch functions on the unit ball without use of derivative

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Science China Mathematics 2008年第11期51卷 1965-1981页

作者： CHEN HuaiHui School of Mathematics and Computer Science, nanjing normal university, nanjing 210097, China 1. School of Mathematics and Computer Science Nanjing Normal University Nanjing 210097 China

In this paper we establish characterizations of α-Bloch functions on the unit ball without use of derivative, which are stronger, more precise and general than those obtained by Nowak and Zhao.

关键词： α-Bloch function unit ball Bergman metric 32A18 32A37