Local existence, global existence and nonexistence of c
lassical solutions for a degenerate and strongly coupled quasilinear parabolic s
ystem were studied. Regularization method and a prior estimate skills were used
to obtain the local existence of classical solutions. Moreover, sufficient condi
tions were given for the existence and nonexistence of global classical solution
s. The results show that the problem admits a global solution when the intrasp
ecific competitions are strong; whereas there exists no global solution when the
species are strongly mutualistic.

This paper deals with the first initialboundary value
 problem of a onedimension parabolic Monge-Ampère equation come from the the
ory of optimal investment. The existence of the classical solution was establish
ed by means of the combination of the method of continuity with a priori estimat
ion of the problem. The uniqueness of the solution is a direct conclusion from t
he maximum principle. The result of paper can be regarded as an extendence of a
result of the correlative problem of parabolic MongeAmpère equation  -u_tdet(u_ij)=f(x,t)  in one dimension.

he authors  studied the empirical likelihood method for
stationary ARIMA(p,d,q) model, which is based on the periodogram ordinate’s
 asymptotical property, obtained the estimation equation and whittle’s estimat
or for the model parameter and  the distribution of the log profile empiri
cal likelihood ratio statistic L(β) which is asymptotically distributed as
χ²p+q+2, as well as the confidence regions for the parameters.

Rings with a completely regular generalized adjoint semigroup are characterized. It is proved that a generalized adjoint semigroup R^◇ of a ring R is a union of groups if and only if R^◇ is isomorphic to the generalized adjoint semigroup induced by E₁₁ of a Morita context 〖WTHT〗M〖WTBX〗(S,T,U,V), where S is a generalized radical ring, T  is a strongly regular ring, VU=0, and eU=Ve=0 for any idempotent e∈S.

The singular perturbation  for the system of nonlinear integral differential equations with boundary perturbation was discussed. Under the suitable conditions, the existence of the solution was proved by the technique of diagonalization and the asymptotic expansion of the solution was constructed and its uniformly valid estimation of remainder term was given as well.

Introducing the weight function and using the way of real analysis, the author gave a new Hilberttype integral inequality with the homogeneous kernel of real numberdegree with three independent parameters and two pairs of conjugate exponents, which is a best extension of a Hilberttype integral inequality with the homogeneous kernel of 0-degree. The equivalent form, the reverses and some particular results were studied.

The analytical solution of the meanvariance model under transaction costs is deduced by means of dynamic programming. The results are very important for the investors in the trade and the analytical solution in this paper makes the investment easier.

Using methods of moment and Bayes, the authors considered the problem of parameter estimation in the INGARCH(1,1) model. Strong consistency and asymptotic normality of the moment estimator were proved. The simulation study shows that both estimators perform well.

A  Hilbert’s inequality of biparameter type was investigated by introducing the parameters: λ₁,λ₂, and using the way of weight coefficient and the method of real analysis. A Hilberttype integral inequality with several parameters and its equivalent form were obtained, and their constant factors were proved to be the optimum value.  A series of Hilbert’s type integral inequalities with more simple forms were obtained via selecting the appropriate parameters satisfying the conditions  selected in the results.

A nonlinear boundary value problem with Haseman shift for generalized holomorphic functions of several complex variables is discussed. Firstly, relevant operators are defined and their properties are explored, then Plemelj formula for generalized holomorphic functions of several complex variables is obtained. Secondly, the boundary value problem is transformed into an integral equation problem. Finally, applying the theory of integral equation and the Schauder fixed point theorem, the existence of the solution to the above function is proved and the integral representation of its solution is obtained.

We studied a dynamical system method for solving some inverse problems, provided the convergence proof of the numerical scheme, and implement some numerical experiments and compared the dynamical system method with the regularization method via numerical computation. The numerical experiments illustrate the validity of the scheme.

The authors investigated a  simple model of signal propagation system. With the sum of the four time delays being regarded as a parameter, it was proved that the Pitchfork bifurcation curve of the model is a straight line on the basis of the analysis of the quantity of the equilibrium solutions. Furthermore, the stability of each equilibrium solution was thus studied. Finally, an example was given and numerical simulations were performed to illustrate the obtained results, the numerical result agrees well with the theory.

Lattice Boltzmann method was used for the numerical simulation of a flow past an elliptic cylinder. The drag of a flow around elliptic cylinders with various shapes was investigated. Firstly, the classical flow past a circular cylinder was simulated numerically. The drag coffecient of our simulation is consistent with those of other numerically results. Secondly, the flow past an elliptic cylinder with different shapes was computed by fixing the vertical semi axis length and varying the horizontal semi axis length. The numerical interpolation was used for boundary treatment, and momentum exchange method was employed to evaluate the force on the boundary. The streamlines, vorticity contours and drag were obtained for the flows past the cylinders with different shapes. Finally, we explained the drag mechanism by analyzing the variation of streamlines and vorticity contours.

Investigating the existence of the fractal limit sets of  p-order Feigenbaum’s maps, we have proved that for any t∈(0,1), there exists such a p-order Feigenbaum’s map that the Hausdorff dimension of  the likely limit set is t, by which some known relative results are generalized in the widest sense.

 Using the facial structure of convex sets, we developed two classes of necessary and sufficient conditions for a class of set equalities to hold.

With the aid of the conception of DNA cellular automata introduced and total rule, we studied the emergent computing of onedimensional DNA cellular automata with r=3 based on Langton parameter. The four Wolfram classes were all obtained. The results show that DNA cellular automata have different structures with different λ. When the complexity reaches the maximum, the complex structures will be replaced by the stochastic structures gradually.

Combining the stretched coordinate method with the multiple scales method, we constructed the uniformly valid expansion for the singular perturbation problems of first order ordinary differential equations. Furthermore, to show the validness of our result, we applied our method to the Duffing equation and obtained the uniformly valid asymptotic expansions.

For any k≥2, the subshift of finite type is determined by the k×k 0-1 matrix A_k=(a_ij), where a_ij=1 if and only if i=k or j=i+1. By establishing the topologically conjugate relation between such a subshift and an interval map restricted to some invariant set and using a known result, we prove that the subshift  is distributively chaotic.

The authors used methods of dynamical systems to study the structure of nest algebras, proving the existence of the distributional chaos in a class of nest algebras.

Let R be a prime ring with a generalized derivationδ and m,n,p∈〖KX,1〗N. Using GPI theory, under the assumption that either 6 is not a common divisor of m and n, or p=1, the authors have proved that ［δ(x),δ(y)］=［x^m,yⁿ］p for all x,y∈R if and only if δ(x)=x or δ(x)=-x, and m=n=p=1.

This paper proposes an Anomaly Detection algorithm based on Improved Density Clustering(ADIDC). The improved algorithm adopts clustering features separately on individual characteristic arranges and weighting features by the correlativity between the features and the normal profile. It can solve the frequent problem of the high false positive rate on clustering in the application of anomaly detection. A series of experiments on well known KDD Cup 1999 dataset demonstrates that it has a lower false positive rate, especially ensuring high detection rate with respect to the traditional anomaly detection methods. The detection of the special attack which resembles the normal act is obviously improved. In addtion, the detection performace can be further optimized by feature selection via feature weights. It makes the proposed algorithm more suitable for the realtime detection.

In most of the automatic test paper generation system, the constraint conditions are not perfect, and the results are not ideal. In view of this situation, we put up a new method called genetic algorithm with local search; it can solve the problem of constraint conditions which are not perfect, and can achieve the better results, after the teacher’s certification, it proves to be applied to the actual teaching. The algorithm uses the subsection encoding based on the type of questions. Three genetic operators adopt the following strategy: the subsection crossover strategy according to the type of the questions, which can ensure the capability of global search and the total number of selected questions in each type are not changed after this operation, the mutation strategy based on the tabu table local search, which can ensure the random and correlative search on the item pool, and improve the search ability of this algorithm, and the μ+λ strategy which is always used in combinatorial optimization evolutionary algorithm to enhance local search of this algorithm. The results show that in the same number of iterations, the optimal solution which can be found in the new algorithm is obviously better than that of tradition algorithm.

A change representation method of semantic information was proposed based on the analysis of the general ontology change representation method. It can represent the ontology change information clearly, improve the intelligibility, and reduce redundant operations. After describing the basic operations of semantic change representation, we analyzed the effect of these change operations, and designed corresponding resolution strategies. So, this representation method can be applied to the process of ontology evolution and will improve the processing performance.

A method using automobile selfprovided collection system to collect wheelspeed signal from anti\|lock braking system (ABS) was studied. After collection of it from  the ABS wheelspeed sensor, the signal was separated, enlarged, filtered, integrated, followed by computer collection, wheel speed calculation and other series data processing, the automobile wheel speed was got accurately and fast. This method has been widely applied to field experiment for all types of automobile by State Key Laboratory of Automobile Dynamic Simulation of Jilin University. Experiment results show that this method is precise, constant, easyinstallation and feasible to every type of automobile.

A novel topology preserving segmentation model was proposed. The proposed model prevents active contour models from geometrical or topological changes  by using a topological constraint edge detector instead of the classical edge detector. The implicit scheme based on level set method is applied and  an additive operator splitting (AOS) scheme  is adopted. The
result shows that the proposed method can effectively maintain the topology of the contours and cost less additional computing time.

Through the study of the newly proposed theory of multiresolution analysis based on subdivision wavelet tight frames, we gave the decomposition and reconstruction formulas of Loop subdivision wavelet frames in detail. Then we implemented the algorithm and applied it to the compression of 3D graphics. By comparing it with the biorthogonal Loop subdivision wavelets of M. Bertram, the numerical results illustrate the good performance of the new technique. Since the multiresolution analysis based on subdivision surface requires the input mesh processed to be semiregular, thus we firstly proposed a new rapid algorithm of constructing the meshes which not only have subdivision connectivity but also approximate to the input mesh.

This paper presents a simplification method for scattered point cloud based on the density of the points in k-nearest neighbors as well as a concrete algorithm and the effect of its implementation on triangulation. This method ensures that reconstruction of triangular mesh maintains the figure contour of an object, but also does well on the details of a local part. The examples show that the method in this paper is easy to implement, and holds high efficiency. Meanwhile, this method holds satisfied effect on the smoothness part, even on the part where the curvature varies greatly.

A human eye localization method is described in this paper. It’s based on twice binary images and twice vertical projection. Firstly, the original image is decomposed with 8level of wavelet, and then the main area for eyes is gotten by vertical and horizontal projection. Secondly, the given image is decomposed with SVD again and  a  max singular value of 1/3.5 is set to be a new threshold and to reconstruct the original image for obtaining the quasi binary image which embodies eyes better. At last, eyes area is intercepted from lessnoise quasi binary image by already known coordinates and finally, the accurate position of eyes is achieved by vertical projection once again.

A method is presented to create a polar coordinate system based on the mass center of whole signature and the mass center of golden section under which  the extrema can be extracted from polar angle feature as signature segmentationpoint sequence. This article proposes an improved DTW algorithm for online handwritten signature verification that is applied to the
 segments matching between the signature sample and the template automatically, obtaining the highest qualified corresponding relationship of the segments and the most closely similarity measurement result, which can degrade the FRR level efficiently. The algorithm has been tested via the signature data from the handwritten signature database JLUDHSDB2.0 and the experiment results show that the EER is 4.25 percent.

Based on the characteristics of data access in column oriented databases, the format of prevalent integer compression schemes is improved, and three integer compression algorithms and corresponding accessing algorithms on compressed data were proposed. Experiments show that retrieving data directly from compressed data without decompression is also very efficient, which thus powerfully supports the future computation on compressed data.

Pointoctree data structure and Blending array are desired to solve the difficulties of rendering speed and quality of a large scale pointbased datum. Pointoctree data structure can filter invisible points before the timeconsuming process of rendering and can help to select different detail levels and rendering mode according to the view point position to control the complexity and speed of rendering. A Blending array which is controlled by the interpolation error δ is desired to improve the rendering quality and remove the hidden surface.

Parallel file system is an efficient method of resolving I/O bottleneck in cluster. And the data storage techniques are very important for a parallel file system with high performance and high usability. A simple and efficient parallel file data storage model was implemented. A fixed stripe size and redundant data placement technique was used. Experimental results show the method has improved the usability of file data.

In consideration of the community structure existing in social network and individual’s interaction, we introduced the concept of community influence maximization. Furthermore, the influence probability among nodes may change due to the dynamic change of the interaction’s intensity between the nodes. Thus, in this paper, the authors will propose a new diffuse model named comprehensive cascade model and use this model to study community influence maximization. Through the experiments on Enron email dataset, we compared the model’s performance with independent cascade’s. The result shows that the model is feasible in the community influence maximization.

Based on  the ideas of artificial immune,  the multiagent technology is adopted to construct a new monitor system.
 The purpose is to improve the traditional network security monitor system. This system presents the exception alarm, making the innate and adaptive immune integrate tightly in the immune system so as to overcome some drawbacks, such as performance bottleneck of Host, the monitoring content being static and fixed, monitoring methods being single, poor expansion and a narrow scope of application in traditional network. And  the performance and reliability of the network security monitor system is also improved.

We proposed a hierarchical approach to 3D scattered data interpolation based on radial basis function. Given a scattered point distributed along a surface, we first used spatial down sampling to construct a coarsetofine hierarchy of point sets. Given a controlled error, then we interpolated the sets starting from the coarsest level. We interpolated a point set of the hierarchy, as an offsetting of the interpolating function computed at the previous level.According to our numerical experiments, our algorithm can attain to a higher approximation precision only using a less number of points, and the implementation of algorithm is very easily.

This work focuses on the analysis and study  of the effects of substitution (addition) in Mg₆₀Ni₂₅Gd_15-xNd_x（x=0,7.5,15） and (Mg₆₀Ni₂₅Gd₁₅)_100-xM_x(M=Fe or Co)（x=0,3,5） amorphous alloys melt\|spun ribbon on their properties including glass\|forming ability （GFA） and thermostability. The substitution of Gd with Nd enhanced the GFA and thermostability.  The former disadvantage of only caring about the improvement of GFA and neglecting the thermostability was conquered. The positive heat of mixing between Fe or Co and main components resulted in the decrease of GFA and thermostability.

The Fe₅₄Pt₄₆ thin film was deposited on SiO₂〈0001〉 substrate by magnetron sputtering system, then the as\|deposited film was vacuum annealed at 650 ℃ in situ. The structure and magnetic properties of the film were investigated by means of X\|ray diffraction and vibrating sample magnetometer. The results indicate that phase transformation from disordered to ordered phase happened after vacuum annealing in situ. The face\|centered tetragonal L1₀-FePt thin film was obtained. Degree of chemical ordering is 0.92 and grain size is about 10 nm. The in\|plane coercivity of the film has reached 0.8 MA/m. The maximum value of coercivity was gained when the angle between magnetic filed and film surface is 50° corresponding to (111) minimum energy surface.

An investigation on the structural stabilities and electronic properties of HgSe under high pressure was conducted via first\|principles calculations based on density functional theory. Our results demonstrate that the sequence of the pressure\|induced phase transition of HgSe is from the zinicblende structure (HgSe-Ⅰ) to the cinnabar structure (HgSe-Ⅱ) to the rocksalt structure (HgSe-Ⅲ), and then to orthorhombic structure (HgSe-Ⅳ). The phase transition pressures are 1.1, 15.1 and 40.1 GPa. The calculated results of optical properties show the positions of excited peaks. 

The influence of stretching temperature on the configuration of the microvoids in PAN precursor fibres was investigated by multi\|orientated one\|dimensional small angle X\|ray scattering. The results show that  though the relative content of microvoids （V/V₀） is  increased in some degree at the relative temperature 2T₀,  the oriented angle () of microvoids would be the  minimal, and the ratio of the length with the diameter of microvoids (L/2R) would be the maximal. These are benefit to increasing the mechanics performance of fibers. But when the heating temperature is too high, the changes of micropores will be on the contrary.

 The mechanochemical reaction between C₃N₃Cl₃ and Li₃N with acetone as the additive medium was carried out via high\|energy ball milling. Carbon nitride was obtained by baking the acquisition in a tube furnace in vacuo. XRD reveals the transformation of crystalline structure and it also shows that the product was transformed to graphitic carbon nitride after being milled for 80 hours at 200 r/min and baked at 573 K for 2 h. FTIR spectrum implies the existence of C—N and C=N bonds. XPS analysis also reveals the existence of sp² CN bonds in the final product. TEM investigation shows that the product mainly consisted of particles with their diameters ranging from 200 to 300 nm.

Monolithic mesoporous silica was prepared by a sol\|gel method from which the Cd_1-xZn_xS/SiO₂ assembly systems with different doping concentrations of Zn ions were obtained by thermal reaction after immersing and drying. The measurements of optical absorption  indicate  that the optical absorption edge  shifts to a short wavelength with increasing the concentration of Zn ion. It is suggested that the energy gap of CdS is enlarged with the Cd ion substituted by the Zn ion. The photoluminescence (PL) emission band is broadened, which is attributed to the effect of quantum size. The PL intensity is increased with the increasing of doped Zn ions, which should be ascribed to the decreasing of   α\|phase and benefits to the emission. 

In this work, nanometer magnetite (Fe₃O₄) particles were prepared by the chemical coprecipitation method, NH₃·H₂O was chosen as the precipitating agent, and was added dropwise together with the mixed aqueous solution containing ferric and ferrousions to the buffer solution composed of NH₃·H₂O and ammonium nitrate to produce nanometer Fe₃O₄ particles. Some influence factors on the size and characteristic of the product were investigated, and preliminary characterization was also performed by means of TEM, XRD and IR spectrum.

Three Fe（Ⅲ）coordination supramolecules ［Fe(phen)₃］［Fe(ox)₃］·KOH·6H₂O(1), ［Fe(en)₂(ox)］［Fe(en)(ox)₂］·2H₂O(2), K₃(glycol)·(Fe_0.2Cr_0.8)(ox)₃(3),(phen=phenanthroline, en=ethylenediamine, ox=oxalate acid) were synthesized. The crystal structures of the complexes were determined by Xray single crystal diffraction, and the complexes were characterized by IR, UVVis and magnetic susceptibility. At a low temperature compounds 1~3 all show antiferromagnetism, compound 2 shows the highest antiferromagnetism.

p53 cDNA was obtained from human peripheral blood lymphocytes by RTPCR, and then the p53 fragments were inserted into pQE40 vector to construct the recombinant plasmid pQE40p53. Furthermore, pQE40p53 plasmids were transformed into E.coli M15, and then induced by 1 mmol/L IPTG to express p53 protein in E.coli M15 expression system. The recombinant p53 protein fused with 6His-tag was purified by Ni-NAT resin affinity chromatography, and then urea was removed with
gradual dialysis. Western Blot confirmed that purified 6His-p53 recombinant protein was  obtained.

The authors completed the induction expression of recombinant MT5-MMP in E.coli BL21(DE3) and harvested the protein as inclusion bodies. The molecular weight of the protein is about 21 000. In addition, we purified and refolded the recombinant protein using the chromatography method to obtain the catalytically active MT5-MMP.

The BSAPLG microspheres were prepared by S/W/O/W emulsion solvent evaporation method with biodegradable material PLG607 as the carrier. Drug encapsulation capacity, morphology, particle size characteristics, as well as invitro release profiles of the microspheres were discussed. The results show that the microspheres were spherical and smooth and the mean size of the microspheres was 40~70 μm, with a mono dispersibility. The invitro release profiles of the microspheres produced from different methods were significantly distinct. With the additives of hydroxypropylβcyclodextrin (HPB) and hydroxyapatite (HAP), the encapsulation of microspheres increased from 27.9% to 46.3%. Therefore, using S/W/O/W method and adding additives HAP and HPB in the formulation could decrease the initial burst release of drugs from the microspheres and increase the encapsulation capacity of the BSAPLG microspheres, the invitro release profiles of which were fitted into near zero order release kinetics.

The feasibility of 4 iron oxides including goethite, hematite, ferrihydrite and lean hematite to immobilize heavy metals in the polluted sediments was analyzed by investigating the adsorption capacities of the iron oxides, the change of adsorption characteristics of the sediments after the introduction of the iron oxides into the sediments. The results indicate that the in
troduction of the iron oxides reduced the adsorption capacity of Cu onto the sediments, but increased the adsorption capacity of Zn onto the sediments, especially after the introduction of hematite and goethite. So, the hematite and goethite were recognized as the most suitable materials for stabilizing and immobilizing Zn in the polluted sediments.

Bioturbation is one of the most important factors which influence the fate of heavy metals at the natural water/sediment interface. Laboratorial microcosm experiment was carried out to simulate the bioturbation induced by tubificids in Cd contaminated lacustrine sediment. Tessier sequential extraction was used to analyze the speciation of Cd in different sediment layers. Bioturbation effects on the vertical profiles of oxidationreduction potential (ORP) in sediment and the pH of overlying water were studied in order to analyzethe speciation of cadmium in contaminated sediment disturbed by tubificids. The results show that the mircoenvironment of sediment (including pH, redox conditions etc.) was changed by tubificid bioturbation, as a result, the main speciation of Cd was transformed. Bioturbation increased the internal pore diffusion rate from sediment to solution and the vertical diffusion of Cd in sediment and caused Cd to transform from the fraction of Cd bound to Fe and Mn oxides to
 exchangeable species. Meanwhile, the fractions of Cd bound to carbonate and exchangeable species were increased by bioturbation, which influenced the flux of Cd exchanging at the water/sediment interface. There were low fractions of Cd bound to organic/sulfide and residual in sediment, and the effect of tubificid bioturbation on these two fractions was slight.