Let {ε_t,t∈Z} be a strictly stationary sequence defined on a probability space (Ω,F,P) such that Eε₀= 0, and E|ε₀|^p<∞, for some p >2. And the sequence {ε_t,t∈Z}is assumed to satisfy the strong mixingconditions. {a_j, j∈Z}is a sequence of real numbers with . Using the weak convergence theorem of the linear process generated by strong mixing sequences and the moment inequalities of strong mixing sequences, we studied the precise asymptotics of a kind of weighted infinite series ofunder the conditions of b_n=O(1/log log n).

The purpose of this paper is to study the existence and nonexistence of global solutions to the degenerate evolution inequalities with singular potential correlated to the generalized BaouendiGrushin operator. The obtained results extend and improve upon those in the literature. To prove the existence results, we used the method of supersolution and the modified Bessel function. The nonexistence results are established by means of the test function method.

The present paper firstly represents the model about random walks in timerandom environments on the right line, then the studies about recurrencetransience criteria and limit theorem by using some relative theo ries of Markov chains, and finally a center limit theorem of this random walks in the nonrecurrence case.

Using a threecriticalpoint theorem in variational methods, we investigated the Dirichlet problem of a class of quasilinear elliptic systems, and proved the existence of at least three weak solutions under some novel assumptions and gave, as the application of the main theorem, an example about the coupling systems come from the second harmonic waves in nonlinear optics.

The stability of homoclinic cycles in planar piecewise smooth systems was studied. A criterion for judging the stability of the homoclinic cycle was presented under the condition of saddle quantity is nontrivial. It was proved that the stability of the homoclinic cycle is only dependent on the sign of the saddle quantity. A numerical experiment was carried out to illustrate the theoretical result.

With a flexible robotic arm as the example and the gauge theory of rotational dynamics as the basis, a general procedure of formulating distributedparameter model for a flexible robotic arm was developed. The effe cts of axialdeflection and centrifugal force on the robotic arm were investigated by researching vibrating frequency. A simplified, exact dynamic equation for a flexible robotic arm was poposed.

The present paper deals with the numerical computation method for a class of pLaplace equations with multipoint boundary value conditions which are widely applied to many fields We constructed a difference scheme for this kind of equations and investigated its error estimate, and also implemented some numerical experiments, which illustrates the validity of the scheme.

We have proved that when the combined homotopy infeasible interiorpoint method (CHIIP) proposed by us is used to solve the KKT points of non-convex nonlinear programming problems, it can be converted to solve the KKT points of nonconvex nonlinear programming problems from the homo topic curves produced by tracking the homotopic equations when the feasible domain of non-convex nonlinear programming problems meet the normal cone condition and the method (CHIIP) is globally convergent.

Using the way of weight coefficient and the technic of real analysis, we gave a new Hilberttype inequality with the kernel being -3μhomogeneous and some parameters and a best constant factor. The equivalent form is considered.

Resultant methods were used to solve a 2homogeneous polynomial system {f1,…, f_k} which have finite common zeros (including the zeros at infinity) in algebraically closed field. We presented a resultant elimination algorithm which can blocktriangularize the system and then block solve it.

This paper deals with the long time behavior of solutions to the homogeneous Neumann problem of the nonNewtonian filtration equation. It is shown that the critical Fujita exponent for the problem consider ed is determined not only by the spatial dimension and the nonlinearity exponent , but also by the coefficient k of the first order term. In fact, it is proved that there exist two thresholds k_∞ and k₁ on the coefficient k of the first order term, and the critical Fujita exponent is a finite number when k is between k_∞ and k₁, while the critical exponent does not exist when k≤k_∞ or k≥k₁.

We investigated the relationships between the sensitivity of dynamical system (X,f) and the sensitivity of the set valued discrete system (K(X), ^-f); and gave examples showing that the sensitivity of fdoes not imply the sensitivity of ^-f.

The present paper deals with a class of incompressible NavierStokes equations with Nonnegative Initial Densities. And the cla ssical solution of NavierStokes equations is existence and uniqueness under certain assumptions.

The shooting method, sub and super solution method, and fixed point theorem were used to study a class of nonlinear diffusion equations with nonlocal boundary value condition in perforated domains. We discussed the existence of the solutions and the removability of the orifice at the radial st eady states, nonradial steady states and nonsteady states.

Let D₂ be a dihedral group and r be a ramification of D₂, the kD₂actions on the Hopf bimodule kQ₁ and the structure of Hopf algebra kD₂［kQ₁］ are presented for r_a,r_b and r_ba being nonzero natural numbers.

he eliminating way was used to change the RHcompound boundary value problems to Riemann compound boundary value problems to be solved and the solution method of the nonnormal compound boundary value problems with nodes and open arcs was thus obtained, the related conditions of solvability in h(c₁,c₂,…,c_q)and the general solution were also obtained.

Using the Lie group theory and method, we presented a necessary condition for the existence of generalized symmetry of ordinary differential equations.

A new lattice Boltzmann model was proposed for simulating the seismic pressure wave. Using ChapmanEnskog expansion and multi scale technique to the pressure distribution function, we obtained the moments of the seismic pressure wave equations and the distribution function. Using this model, we simulated the multiseismic pressure waves motion. These numerical results can be compared with the results simulated by the finite differential method.

Most traditional intrusion detection systems adopt the analysis engine of the concentrating type, so it is already difficult for them to meet the extensive security demand of the distributed network environment. An autonomousagentbased adaptive distributed intrusion detection system was proposed to solve these problems. A honeypotbased distributed intrusion detection system was proposed to solve the higher rate of false negatives in most models. Moreover a detail description was given to the architecture and work mechanism of the model, and the character of the model was analyzed.

This paper deals with the design problem of fuzzy robust tracking control for a class of uncertain nonlinear systems. The uncertain no nlinear systems descriptor based on T-S fuzzy model with external disturbance was considered, the tracking error of the controlled system following the reference signal was studied, and the constraint conditions of the tracking error’s exponential stability were obtained. Under the coherence of tracking control and stabilization control, the design techniques of H_∞fuzzy robust tracking controller were studied, which can be solved by using LMI and FLC tools of Matlab.The simulation results demonstrate the effectivity of the proposed method.

It is invalid when the evidence theory is used to deal with conflicting probabilities. In this paper, a new weighted D-S combination rule is proposed to solve the conflicting management in the air target identification system. In the weighted method presented here, it is to modify evidences rather than to modify the combination rule. The rationality and effectiveness of the weighted method are evaluated by the target identificationsystem.

A new method to solve Chinese text chunking was introduced as conditional random fields (CRF) model, by which Chinese text chunking transformed into labeling the words with their chunk tags and establishinga model for tagged corpus according to conditional random fields so as to predict the chunk ta g of each word. An F₁ score of 85.5% is achieved by using the evaluation dataset of Chinese treebank of Beijing university, and obviously better than those of hidden Markov model and maximum entropy Markov model. Experimental results show that conditional random fields model is an effective way on Chinese text chunking and the strict Independence hypothesis and the label bias problem are avoided.

A new method of computeraided plant species identification based on learning vector quantization (LVQ) neural network is proposed. In this method 2-D moment invariants, multi-resolution Gabor filters and statistical moments are used to extract leaf information, such as geometry feature of leaf shape, texture feature of nervation, and LVQ neural network is used to distinguish the plant species. The experimental results illustrate the effectiveness of this method.

Based on ElGeresy’s general approach in spatial reasoning, 9-intersection matrix is extended to 16-intersection matrix. With 16-intersection matrix as a representation structure, the relations in RCC23 are refined to 62 topological relations between two simple concave regions, thus derived RCC62. RCC62 is more expressive than RCC23, since it has 39 more topological relations than RCC23. By applying RCC62 to practical field of spatial query, both the accuracy and efficiency of querying operation are improved. In order to further research the reasoning and composition table of RCC62, the conceptual neighborhood graph and the closest topological relation graph of RCC62 are given.

In this paper, some experiments are conducted to analyze and verify the importance of table elements which lied in a Web page. In contr ast with Web pages, table elements can provide a large quantity of information ( beyond eighty percent) which is relevant to users’ information need. This conclusion can be utilizedto parse Web pages in the domain of focused crawling. After getting rid of elements except tables and headers, the efficiency of a focused crawler can be augmented distinctly and substantially.

Traditional mining algorithm does not contain relations which is defined in pattern. The clustering method based on traditional data pattern brings in different businesses together. Thus the result of the cluster is not good enough. In this paper, a new algorithm called PCOT (patternbased clustering outlier test) is presented. PCOT is suitable in highdimensional space, which uses a new business containing pattern. In the algorithm, a novel hypergraph model is proposed to represent the relations among the patterns. Hypergraph partitioning method is used in clusering. Experiment shows that this approach can find the outliers in highdimensionalsparse space effectively.

The time evolution of atomic population of the system, where the two identical two-level atoms in Bell states interact with two-mode entangled coherent field in a cavity filled with the Kerr medium, was investigatedby means of quantum theory and numerical method. The effects of the atomic initial state, mean photon numbers of field, the degree of the entanglement for the entangled coherent field, and the coupling strength between the Kerr medium and field on the atom’s population are discussed via numerical calculations. The results show that the atomic population is time-independent provided that the atoms are in |β₁₁〉 state. For the other three Bell states, there will appear the periodical collapse revival of atomic populationif the initial mean photon number reaches some special values. With the increase of the initial mean photon number, the oscillation frequency of the time-evolution of atomic population increases correspondingly, and the amplitude decreases. The degree of the entanglement of the two-mode entangled coherent field has no

We calculated systematically the hadronic matrix elements of D⁺→K⁰π⁺ decays with light cone QCD sum rules firstly, which included the contributions of factorization in the leading order, the hard gluon exchange in the next leading order, and the soft-gluon exchange in the power order. We can find that the contributions of soft-gluon exchange can not be neglected. Finally, we calculated the branching ratio of the decays, and the calculation results are in accordance with the experimental data. 

The dose would be enhanced on the low-Z material side when X-ray enters the interface constructed with two different materials. The dose-enhancement-factors of Au-CuPci,W-CuPc and Ta-CuPc interfaces were calculated via the Monte-Carlo method. The calculated results demonstrate that there exists stronger dose-enhancement on the CuPc side near the interface when the energy of X-ray is between 100 keV and 150 keV.

The Monte Carlo method for Photon-Electron’s transport was used to calculate the γ spectra of NaI(Tl) detector by peak broadening of electronic pulse height tally. Then the peak-to-total ratios in the NaI(Tl)detector to various γ-ray were calculated, and the results are fit in well with the experiment data. Finallythe simulated γ spectra of different energy are explained.

CoFe₂O₄/SiO₂ nano-composites were prepared via the sol-gel method. Structure, grain size and magnetic properties of CoFe₂O₄/SiO₂ nano-composites were investigated by X-ray diffraction (XRD) and vibrating sample magnetometer (VSM). The results show that with the increase of the content of SiO₂, the grain size, the saturation magnetization and coercivity of samples decrease. 

Taken 23.8 GHz digital auto gain compensative microwave radiometer for example, the receiver calibration technique using low temperature reference noise source and variable precise attenuator is presented and the solutions for calibration equation are analyzed. Via comparison of these three calibration methods, it was found that the equation educed from two-point calibration technique is as well as the regression line method’s results. The conclusion is thus conducted that calibration equation could be achieved using two-point calibration technique with the excellent receiver linearity in dynamic temperature ranges of radiometer receiver.

The line resistance is the key factor for precise measurement in the dual high precision programmable voltage supply （DVS）. The two sets of data were got by measurement under the condition of two different line resistances. The validating with statistics of the two sets of data was done, and the result of the DVS output voltage, which is independent of line resistance, was proved. It means the DVS circuit omits the affection of line resistance. The statistics method is valued for testing the physical parameters in system. 

A global positioning system (GPS) receiver based on peripheral component interconnect (PCI) bus is reported. The navigation information is obtained by central processing unit (CPU) of personal computer (PC) controlling the correlator chips. Comparison of the synchronous measurement result of this receiver with that of a reference one shows the error trend is the same. The scatter plots of the horizontal error and vertical error distribution show that this measurement system is more stable and can reflect the position information exactly.

A novel method of the preparation for the high carboxyl groups and soluble oxidized corn starch was studied. The experimental conditions were optimized, the amount of sodium hydroxide, reaction temperature and time were 21 g, 100 ℃ and 3.0 h,respectively. And the carboxyl content in the oxidized corn starch reached 3.60% under the optimized conditions. The oxidized mechanism was investigated with Xray diffraction (XRD), Scanning electron microscopy (SEM), Infrared (IR) spectroscopy and the analyses of carboxyl and carbonyl content carried out by using chemical analysis method.

Hydrophobic calcium carbonate nanoparticles were prepared via crystallization of calcium carbonate with a surfactant in methanol. The product was characterized by scanning electron microscope (SEM), transmission electron microscopy (TEM), X-ray diffraction (XRD), Fourier transform infrared spectroscopy (FTIR), thermal gravimetric analysis (TGA) and the contact angle analysis. In the experiments, the surfactant could not only control the crystal shape but also modify the surface of calcium carbonate. The ellipselike nanoCaCO 3 particles with an average diameter of 40 nm have been obtained under given experim ental conditions. The crystal polymorph of the final particles was aragonite and calcite. From FTIR spectra, we could conclude that the surfactant has been bound to calcium carbonate. The contact angle analysis indicates that the final calcium carbonate is hydrophobic. We have succeeded in surface modification of calcium carbonate in situ.

Near infrared diffuse reflectance spectroscopy combined with partial least square (NIRSPLS) was applied to establishing calibration models for determining the contents of rifampicin and isoniazide in rifampicin and isoniazide tablets.The regression coefficient (R) by means of the model for determining the content of rifampicinis 0.992　77, the root mean square error of crosscalibration (RMSECV) is 0.006 65, the R by means of the model for determining the content of isoniazide is 0.989　01,  and the RMSECV is 0.00423.Using these models for predicting the contents of rifampicin and iso niazide in validation set, the root mean square error of prediction (RMSEP) are 0.005　73 and 0.003　79.These results demonstrate that this method possesses high precision of prediction. The average recoveries are 99.376% and 98.243%in the recovery experiments, and the relative standard deviation (RSD) are 0.679　3% and 0.639　8% in reappearance experiments. With its advantages of facility, rapid, nondestruction, no pollution, online detection and good reappearance, this method must be popularized in situ measurement and in the online quality control for rifampicin and isoniazide tablets production.

The interaction mechanism of metacycline (METC) and bovine serum albumin (BSA) was studied via fluorescence spectrometry and UV visible absorption spectrometry. The effects of temperature, pH, metal ions on the interaction of METC and BSA were studied. The results indicate that the mechanism of the i nteraction of METC with BSA belongs to static quenching. The major force of binding is static gravitation. Also, the distance of METC BSA was calculated via the Frster theory of nonradiation energy transfer. The mechanisms of interactions of metal complexes with BSA also belong to static quenching. The binding constants are different from the constant of the interaction between METC and BSA at room temperature, and the relevant binding sites are changed. It shows that the metal ions affect the structure and hydrophobicity of METC.

A supramolecular complex {［Cd(phen)₃］·NDC·8(H₂O)}（1） (phen： 1,10-phenanthroline， NDC： 2,6-naphthalenedicarboxylate) was synthesized under hydrothermal condition and characterized with elementalanalysis and singlecrystal X-ray diffraction. Complex 1 crystallized in the triclinic system with space group P1, a=1.201　0(2)　nm , b=1.286　4(3) nm, c=1.709　7(3) nm, α=74.21(3)°, β=69.92(3)°, γ=71.40(3)°, V=2.311　7(8) nm³, Z=2， R₁=0.066　0, wR₂=0.204 3.This complex shows photoluminescence property,indicating that it may be appliedin the development of luminescent materials.

A rapid, simple and sensitive liquid chromatography/tandem mass spectro metry　(LC/MS/MS) method was developed for the determination of curcumol in rat plasma. Samples of the plasma were deproteinated with acetonitrile, the analytes were then analyzed by reversedphase HPLC on a Hypersil ODS column with methanol-ace tonitrile-10 mmol/L ammonium acetate　（volume ratio: 42.5 ∶42.5 ∶15）　as mobile phase. Detection was carried out by multiple reaction monitoring on a API4000 LC/MS/MS system with an electrospray ionization (ESI) interface. The assay was linear in a range of 2.5～500.0 μg／L, intra and interday precisions over this range were < 4.79%, the average recovery was 100.7%.

Dozens of water samples were taken from typical rivers in Jilin Province at different periods of time, and the chemical oxygen demand (COD) and total organic carbon (TOC) values of water samples were measured separately. A quantitative relationship model between COD and TOC of typical rivers in Jilin Province was established via linear regression of COD and TOC obtained with the least square method and the correlation test was carried out. The results indicate that there is a significant linear correlation between COD and TOC values of these river water samples.