Binary Sequences from a Pair of Elliptic Curves

A family of binary sequences were constructed by using an elliptic curve and its twisted curves over finite fields. It was shown that these sequences possess ＂good＂ cryptographie properties of 0-1 distribution, long period and large linear complexity. The results indicate that such se quences provide strong potential applications in cryptography.     

On convergence for trigonometric interpolation of analytic function

In this paper, we give a necessary and sufficient condition of sequence of nodes, such that, the error of trigonometric interpolation for analytic function converges to 0. Foundation item: Supported by the Science Foundation of SEC of China and Foundation of Wuhan University Biography: LIU Hua (1971-), male, PH. D candidate, Research interest is in complex analysis.     

The relations among various Markov chains

Some basic equations and the relations among various Markov chains are established. These works are the bases in the investigation of the theory of Markov chain in random environment. Foundation item: Supported by the National Natural Science Foundation of China (10071058-2) and Doctoral Programme Foundation of China Biography: Hu Di-he (1935-), male, Professor, research interest: stochastic processes and random fractals.     

Solving integer programming by evolutionary soft agent

Many practical problems in commerce and industry involve finding the best way to allocate scarce resources a-mong competing activities. This paper focuses on the problem of integer programming, and describes an evolutionary soft a-gent model to solve it. In proposed model, agent is composed of three components: goal, environment and behavior. Experimental shows the model has the characters of parallel computing and goal driving. Foundation item: Supported by the National Natural Science Foundation of China( 60205007) , Natural Science Foundation of Guangdong Province(001264), Research Foundation of Software Technology Key Laboratory in Guangdong Province and Research Foundation of State Key Laboratory for Novel Software Technology at Nanjing University Biography: Yin Jian ( 1968-), male, Associate professor, research direction: artificial intelligence, data mining.     

A formula of solution for a class of homogeneous recurrence of variable coefficients with two indices

In this paper, we obtain an explicit formula of general solution for a class of the homogeneous recurrence of variable coefficients with two indices. Foundation item: Supported by the National Natural Science Foundation of China(19771063) Biography: YU Chang-an(1948-), male, Professor, Current research interest is in combinatorial theory     

Some special properties of singular integral operators

In this paper, we have proved some special properties of singular integral operators which are transformed from the singular integral equation defined in the interval (−1, 1), i.e., the properties of singular intergral operators at the endpoints and in the inner of (−1, 1). Foundation item: Supported by the Science Foundation of SEC of China and Foundation of Wuhan University. Biography: GONG Ya-fang (1973-), male, Ph. D candidate. Current research interest is in numerical solution of singular integral equation.     

On the normal criterion of quasimeromorphic mappings

In this paper, we generalize an, inequality of meromorphic mappings to quasimeromorphic ones. Applying the results here, we can establish a normal criterion of quasimeromorphic mappings. Foundation item: Supported by the National Natural Science Foundation of China (No. 19871064) Biography: Deng Fang-wen (1974-), male, Ph. D. candidate, research interest: complex analysis.     

Some index classes of singularity of vector fields on manifolds with boundary

V. I. Arnold defined some particular classes of index for singularities of adapted fields. We generalize these index classes for general fields on manifolds with boundary and get some relations of these index classes. Foundation item: Supported by the National Natural Science Foundation of China (10261002) Biography: Xu Xu (1973-), male, Ph. D, research direction: singularities and differential topology.     

An anisotropic model of sandpile

An anisotropic model of sandpile has been proposed with different topping in different directions taken in consideration. Simulation results show that no significant differences exist between this anisotropic model and the isotropic one. Foundation item: Supported by the National Natural Science Foundation of China(104980113) Biography: Wang Xin(1978-), male, Master candidate, research direction: condense matter of physics.     

Wetland ecosystem function assessment and the sustainable development in Jianghan plain-lake district of China

Wetlands in Jianghan plain-lake district fulfill many uses and functions related to hydrology, waste assimilation, ecosystem productivity and bio-diversity. But human incorrect activities generally result in significant negative impacts on number, biodiversity, and functioning of wetlands. In order to put wetland resources to rational use and protect wetland ecological environment, some effective measures should be taken. Foundation item: Supported by the National Natural Science Foundation of China (49871071) and Hubei Waterlogging Disasters & Wetland Key Laboratory Foundation (HNKFJ2002T02) Biography: Wang Xue-lei(1965-), male, Professor, research direction: wetland ecology.     

The reflective function of differential system

This article deals with the reflective function of the differential systems. The results are applied to discussion of the existence and stability of the periodic solutions of these systems. Foundation item: Supported by the National Natural Science Foundation of Jiangsu Educational Committee (02 KJB 110009) Biography: Zhou Zheng-xin(1962-), female, Ph. D, Associate professor, research interests: ordinary differential equation.     

Solution of Cauchy’s problem for wave equations in higher space dimensions by means of D’Alembert’s formula

A simple method for solving Cauchy’s problem of wave equations in higher space dimensions with initial condition of separated variables, has been given by using D’Alembert’s formula and some examples have been shown. Foundation item: Supported by the Natural Science Foundation of Hubei Province (992P0307) and the National Natural Science Foundation of China (39970203) Biography: YAO Duan-zheng (1946-), female, Professor, Research direction: mathematical physics and nonlinear optics.     

The existence and stability of nontrivial steady-state for a delay competition-diffusion model

This paper investigates the competition diffusion model with delay. The existence and stability of nontrivial steady state are studied. Foundation item: Supported by the National Natural Science Foundation of China Biography: ZHOU Li (1939-), male, Professor, research interest is in partial differential equation.     

Wigner frequency point slice analysis of superposition data for phased-array ground penetrating radar

According to the frequency property of Phasedarray ground penetrating radar (PGPR), this paper gives a frequency point slice method based on Wigner time-frequency analysis. This method solves the problem of analysis for the PGPR‘s superposition data and makes detecting outcome simpler and detecting target more recognizable. At last, the analytical, results of road test data of the Three Gorges prove the analytical method efficient.     

Improved Authenticated Multi-Key Agreement Protocol

Zhou et al give an attack on Ham＇s modified authenticated multi-key agreement protocol, and give a protocol that can prevent the unknown key-share attack. The paper points out that the protocol is vulnerable to a concatenation attack. This paper proposes an improved authenticated multi-key agreement protocol which shows how to make Harn＇s protocol more secure by modifying the signature and verification. And this protocol can escape the concatenation attack.     

Dynamic Vector Space Secret Sharing Based on Certificates

A vector space secret sharing scheme based on certificates is proposed in this paper. The difficulties of solving discrete logarithm assure confidential information＇s security, and the use of each participant＇s certificate makes the dealer have no need to transfer secret information to the participants. The proposed scheme is dynamic. It can effectively check cheaters and does not have secure channel requirements.     

Potassium ferricyanide oxidative cyclization of arylaldehyde witho-phenylenediamine ando-aminophenol to 2-arylbenzimidazoles and 2-arylbenzoxazoles

Some new benzimidazoles and benzoxazoles have been prepared under mild condition by oxidative cyclization of arylaldehyde witho-phenylenediamine ando-aminophenol using potassium ferricyanide as oxidant Foundation item: Supported by National Natural Science Foundation of China (29672029) Biography: LIU Xin (1975-), male, Ph D.     

Synthesis of novel diporphyrins

The novel diporphyrin ligands in which the two porphyrin ring units attached via a rigid aromatic linker were prepared. Their structures have been identified by IR, UV-visible,¹H NMR spectra and elemental analysis. Foundation item: Supported by the Natural Science Foundation of Hubei Province Biography: LI Zao-ying (1949-), female, Associate professor.     

The Global Stability of Predator-Prey System of Gause-Type with Holling Ⅲ Functional Response

This paper deals with the question of global stability of the positive locally asymptotically stable equilibrium in a class of predator-prey system of Gause-type with Holling III functional response. The Dulac's criterion is applied and liapunov functions are constructed to establish the global stability. Foundation item: Supported by the National Natural Science Foundation of China (19531070) Biography: Feng Jian-wen (1964-), male, Ph. D candidate, research interests: the qualitative theory and bifurcation theory of ODE.     

Evaluation of some Fourier integrals inN-dimensional space for the theory of dislocations in quasicrystals

A method to evaluate some Fourier integrals is extended from two-dimensional (2-D) and three dimensional (3-D) spaces ton-dimensional (n-D) space, which are often used in the elasticity theory of dislocations in quasicrystals. Some key formulae have been given. Foundation item: Supported by the Natural Science Foundation of Hubei (9920p307) Biography: Yao Duan-zheng (1946-), female, Professor, Research interests: mathematical physics and nonlinear optics.