Study on elastic modulus of individual ferritin

The mechanical property of individual ferritin was measured with force-volume mapping (FV) under contact mode of atomic force microscopy (AFM) in this work. The elastic modulus of individual ferritin was estimated by the Hertz mode. The estimated value of the elastic modulus of individual ferritin was about 250－800 MPa under a small deformation. In addition, the elastic modulus of individual ferritin was compared with that of the colloid gold nanoparticle.     

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.     

Efficient Identity Based Signcryption Scheme with Public Verifiability and Forward Security

In this paper, we point out that Libert and Quisquater‘s signeryption scheme cannot provide public verifiability. Then we present a new identity based signcryption scheme using quadratic residue and pairings over elliptic curves. It combines the functionalities of both public verifiability and forward security at the same time. Under the Bilinear Diffie-Hellman and quadratic residue assumption, we describe the new scheme that is more secure and can be some what more efficient than Libert and Quisquater‘s one.     

Projection and contraction methods for nonlinear complementarity problem

We applied the projection and contraction method to nonlinear complementarity problem (NCP). Moveover, we proposed an inexact implicit method for (NCP) and proved the convergence. Foundation item: Supported by the National Natural Science Foundation of China (No. 202001036) Biography: Zhao She-feng (1975-), male, Master candidate, research interest; optimization research.     

An exact formal solution to reaction-diffusion equations from biomathematics

We study the exact formal solution to the simplified Keller-Segel system modelling chemotaxis. The method we use is series expanding. The main result is to attain the formal solution to the simplified Keller-Segel system. Foundation item: Supported by the National Natural Science Foundation of China(No. 10025107) Biography: Chen Hua(1956-), male, Professor, research direction: partial differential equations.     

A semantic retrieval method based on the fuzzy reasoning

This paper gives a semantic fuzzy retrieval method of multimedia object, discusses the principle of fuzzy semantic retrieval technique, presents a fuzzy reasoning mechanism based on the knowledge base, and designs the relevant reasoning algorithms. Researchful results have innovative significance. Foundation item: Supported by the Natural Science Foundation of Hubei Province(No. 200J157) Biography: Cao Jia-heng(1946-), male, Professor, research direction: multimedia software, artificial intelligence.     

On the approximation solvability of the abstract differential inclusion

The approximation solvability of the abstract differential inclusion du/dt∈f(t,u) is presented. The convergence of the approximation solution and the existence of the solution for abstract evolution multivalued problem are discussed. Foundation item: Supported by the National Natural Science Foundation of China (No. 19771062) Biography: Xia Jin-sheng (1975-), Ph.D candidate, research interest: the approximate solution of differential equation.     

Adhesive contact of a rigid sphere to finitely stretched substrates

Exemplified by adhesive contact of a rigid sphere with equiaxially stretched elastomeric substrates, the effect of finite pre-strain on adhesion behavior is studied based on the JKR model. The analysis indi- cates that the pre-strain reduces the contact area between the sphere and the substrate, but does not alter the adhesion strength.     

The harmonic decomposition reconstruction for the exponential radon transform

The exponential Radon transform, a generalization of the Radon transform, is defined and studied as a mapping of function spaces. It is represented in terms of Fourier transform of its domain and range, and this leads to the harmonic decomposition reconstruction. The results are similar results of Tretiak and Metz. Foundation item: Supported by the National Natural Science Foundation of China (No. 19971064), Key Project of Science and Technology of Hubei Province Education Committee. Biography: Wang Jin-ping (1963-), male, Ph.D. candidate, research direction: numberical solution of singular integral equation and integral transformation etc.     

Crack spacing of unsaturated soils in the critical state

The cracking mechanism of unsaturated soils due to evaporation is poorly understood, and the magnitude of crack spacing is usually hard to estimate. In this work, cracks were postulated to occur succedently rather than simultaneously, that is, secondary cracks appear after primary cracks as evaporation continues. Formulae of the secondary crack spacing and secondary trend crack spacing were then derived after stress analysis. The calculated spacing values were consistent with the published experimental data. Meanwhile, the effect of the Poisson ratio on the crack spacing was analyzed, which showed that the magnitude of crack spacing was proportional to the Poisson ratio in the range of [0.30, 0.35].     

An improved moving mesh algorithm

We consider an iterative algorithm of mesh optimization for finite element solution, and give an improved moving mesh strategy that reduces rapidly the complexity and cost of solving variational problems. A numerical result is presented for a 2-dimensional problem by the improved algorithm. Foundation item: Supported by the National Natural Science Foundation of China(No. 19771062) Biography: Cheng Jian(1977-), male, Master candidate, research interests: the numerical solution of PDE.     

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.     

Parallel evolutionary modeling for nonlinear ordinary differential equations

We introduce a new parallel evolutionary algorithm in modeling dynamic systems by nonlinear higher-order ordinary differential equations (NHODEs). The NHODEs models are much more universal than the traditional linear models. In order to accelerate the modeling process, we propose and realize a parallel evolutionary algorithm using distributed CORBA object on the heterogeneous networking. Some numerical experiments show that the new algorithm is feasible and efficient. Foundation item: Supported by the National Natural Science Foundation of China (No. 70071042 and No. 60073043) Biography: Kang Zhuo (1970-), male, Lecturer, research interest: network computing and evolutionary computation.     

Monte carlo simulation of the coaxial electrons backscattering from thin films

By using the Monte Carlo method, we simulated the trajectories of coaxial backscattering electrons corresponding to a new type of scanning electron microscope. From the calculated results, we obtain a universal expression, which describes with good accuracy the backscattering coefficient versus film thickness under all conditions used. By measuring the coaxial backscattering coefficient and using this universal formula, the thickness of thin films can be determined if the composition is known. Foundation item: Supported by the National Natural Science Foundation of China (No. 993201015) Biography: Hu Da-ping (1957-), male, Ph. D. candidate, research direction: application of computer.     

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.     

Stable dislocation configuration in the surface layer of metals

The stable dislocation configuration in the surface layer of metals was calculated according to dislo-cation energy theory. It was shown that the stable dislocation configuration was only influenced by Burger's vector, while dislocation line could fluctuate closely around the direction vertical to free sur-face in a limited range.     

A generalized Riemann boundary value problem

The generalized Riemann boundary value problem for analytic functions is considered, where the unknown function may have branch points of the second order. Under certain assumptions, its general solution as well as the condition of solvability is obtained when the solution is required to be of finite order at infinity. Foundation item: Supported by the National Natural Science Foundation of China (No. 19871064) Biography: LIU Hua(1971-), male, Ph. D candidate, Research interests being in complex analysis and its applications.     

Preparation and characterization of three-dimensionally ordered macroporous polystyrene <Emphasis Type="Italic">via</Emphasis> atom-transfer radical polymerization

Three-dimensionally ordered macroporous polystyrene （3DOM PS） with pore size of 350 nm was fab- ricated using Cp2Co/Ethyl 2-bromoisobutyrate （EBiB） catalytic system by ATRP. The resulting polymers were detected by FT-IR, 1H-NMR, SEM, and GPC. The microstructure of 3DOM PS was confirmed by FT-IR and 1H-NMR. SEM micrographs show that both silica spheres within the templates and pores in the 3DOM polystyrene are arranged in highly ordered fashion, and the shrinkage of the pores in the 3DOM PS is 24%. GPC curves show that the 3DOM PS possesses slightly lower Mn and narrow MWD compared with bulk one. This result indicats that living polymerization is different from non-living polymerizationin in the confined space.     

Arctic dipole anomaly and summer rainfall in Northeast China

A dipole structure anomaly in summer Arctic atmospheric variability is identified in this study, which is characterized by the second mode of empirical orthogonal function （EOF） analysis of summer monthly mean sea level pressure （SLP） north of 70°N, accounting for 12.94% of the variance. The dipole anomaly shows a quasi-barotropic structure with opposite anomalous centers over the Canadian Arctic and the Beaufort Sea and between the Kara Sea and the Laptev Sea. The dipole anomaly reflects alternating variations in location of the polar vortex between the western and eastern Arctic regions. The positive phase of the dipole anomaly corresponds to the center of the polar vortex over the western Arctic, leading to an increase in summer mean rainfall in Northeast China. The dipole anomaly has a predominant 6-year periodicity, and shows interdecadal variations in recent decades.     

Synthesis and X-ray crystal structure of a new manganese 18-metallacrown-6

0　IntroductionThemetalionsinmetallamacrocylesformedbysupramolecularself assemblycantaketrigonal,square planar,andtetrahe dralconfiguration[1 ,2 ] .Metallacrownisaspecialclassofmetalla macrocyle,theyareanalogoustocrownethersinbothstructureandfunctionexceptthatthemetalionsarenowtakingthepositionsofcoordinationatomsincrownether[3,4] .Themetallacrownswithdifferentnumberof [M—N—O]repeatunithavedifferentcavitysizes,suchas 9 MC 3[5 7] ,12 MC 4 [4,8 1 4 ] and 15 MC 5 [1 5] .Thereportedazameta…