The present paper presents the Marcinkiewicz’s strong law of large number for pairwise NQD sequences with stationary distribution under the condition 。

In this paper we discussed the existence of periodic and almost periodic solutions of a class of second order differential equation. Under the assumption that g is a continuous homeomorphism, we have proved using fixed point theorem twice that the equation has a uniqueTperiodic solution ife(t)is aTperiodic function. Furthermore we have proved using approxi mation method that the equation has almost periodic solution ife(t) is an a lmost periodic function.

A numerical simulation on the flow past a square cylinder placed in parallel to shear flow was studied by means of lattice Boltzmann method. The flow was calculated for different velocity gradients, the streamlines and vorticity contours were obtained. Numerical results show two series of vortexes with different sizes. With the increase of the velocity gradient, the difference between the two series of vortexes appears more clearly. Numerical results are coincident with the theoretical analysis, it is identified that lattice Boltzmann method is suitable for simulating the shear flow past a square cylinder.

We studied the radial symmetric solutions to the initial and boundary value problem of a fourth order nonlinear parabolic equation via the method of parabolic regularization and the Campanato framework and uniform Schauder type estimates, we obtained the existence of classical solutions for the regularized problem. On the basis of some necessary uniform estimates on the solutions of the regularized problem, we proved the existence of weak solutions.

The present paper deals with oscillatory properties of solutions for a class of nonlinear impulsive neutral delay parabolic partial differential equations and some new sufficient criteria for oscillation of the equations are obtained under Robin and Dirichlet boundary value conditions via impulsive neutral differential inequalities of first order. The results of this paper improve some known ones and fully reflect the influences of impulsive and delay in oscillation.

Here we work out a combinational operator W_n,r(f,x) with zeros of the polynomial through the method of combination average. Convergence order of the operator W_n,r(f,x) is the best if C^j_［-1,1］(0≤j≤r, r, where r is an arbitrary odd natural number）.

We solved multiobject nonconvex programming by means of homotopyinterior method and got the minimum weak effect solution under quasinormal cone condition; meanwhile we proved the convergence of this method.

By means of the parameter estimation, we give the Bayesian estimation, the minimum risk equivalent estimation and the minimax estimation of scale parameter σ under the qsymmetric entropy loss function in the normal distribution, its mean of which is 0. Furthermore, when 0≤c*, d>0; c=c^*, d≥0, the estimator with the form of ［cT+d］^1/2 is admissible; when 0*, d=0; c>c^*, d>0, ［cT+d］^1/2 is inadmissible.

The present paper consider risk of the restricted maximum likelihood estimators (RMLE) of order means of two sample distribution exponential, λ₁≤λ₂, with the same sample size, under symmetric entropy loss. It proved that RMLE λ_i have smaller risk than usual sample means X_i(i=1,2). The asymptotic efficiencies e(λ_i,X_i) of RMLE λ_i with respect to sample means X_i for λ₂/λ₁→∞ and n→∞ have also been discussed.

This paper deals with the existence of monotone positive solutions to a type of three point boundary value problems of nonlinear secondorder differential equations with p-Laplacian operator. On the basis of the fixed point theorem on cone, sufficient conditions for the existence of monotone positive solutions are given to the boundary value problems with homogeneous and nonhomogeneous boundary conditions, respectively, and the convexity of solution curves is decided.

We proposed the test statistic to check whether the nonparametric function in partially linear models is a const or not. We estimated the nonparametric function by the local polynomial method, where we ignored the parametric component, and estimated the parameters by the two stage method. The test statistic under the null hypothesis was calculated, and it was shown to be a symptotically normal.

By estimating the weight function and introduc ing the Beta function, a new Hilberttype integral inequality with a parameter and a best constant factor is established. And the two best extensions of it and the corresponding equivalent forms are given.

This paper is proposed a new method for iris identification based on multiwavelet transform. By means of the mathematical properties of CL multiwavelet, the iris texture feature can be presented accurately and primely. The subbands are coded and the information of direction cosine is used for iris matching, by means of which this method overcomes zoom, shift and illuminance and obtains approving effect.

A heuristic information extraction algorithm is presented and an information extraction system is built with it. The system utilizes the semanteme characteristic and structure characteristic of the text to make the states with certain characteristics. On the basis of this result, we carried out extracting the remainder states having no characteristic with a algorithm incorporating backwarddynamicprogramming with forwardA^* algorithm. We have tested 100 pieces of headers of computer science papers provided by the searchengine research group from CMU university of USA. The result shows the recall and the precision rate are all improved a lot compared with existing methods which are based on words and traditional Viterbi algorithm. In condusion, the heuristic algorithm is better on performance than Viterbi algorithm.

A lossless scheme of a binary image watermark based on wavelet transform is proposed. Because no distortions are introduced into the original image, the contradiction between the transparency and the robustness is solved. Moreover, with introducing digital signature and digital timestamp into the watermarking scheme, One can use the public keys to extract the watermark without the involvement of the owner. Experimentalresults show our algorithm is strong enough to resist common image processing and geometric distortions.

Close packed and non-close packed photonic crystals of SiO²microspheres were prepared with the help of modified vertical method, the thermal sintering technique and the etching technique. The structure of the non-closed packed opals was compared with that of close packed opals via scanning electron microscopy. We performed photonic band-structure calculations by a plane wave expansion method of the two kinds of structures. The calculations indicate that the photonic bandgaps at points L and X of the Brillouin zone in non-close packed structure were opened more easily than that in close packed structure. 

By means of the technique of microcircuit integrated on DAC, the resistances of graphite like C₃N₄ were in-situ measured under high pressures. At 293 K, the resistance of g-C₃N₄ decreased sharply at 5 GPa and 11 GPa respectively, which was consistent with the calculated result. And at 77 K, the resistance of g-C₃N₄ almost unchanged at 5 GPa, but it changed more sharply at 11 GPa. The rapid decrease of the resistance of g-C₃N₄at 21 GPa maybe indicate an unknown phase transition. 

Electromagnetically Induced Transparency (EIT) and Slow Group Velocity (SGV) in Pr³⁺∶Y₂SiO₅ were investigated using the density matrix equations of the interaction between light and matter and their numerical solutions. The influences of inhomogeneous line width and coherence driving field on EIT and SGV were analyzed. The theoretical results agree well with the experimental ones.

Fe⁷⁰Zr¹⁰B²⁰ magnetic amorphous alloy was prepared by the mechanical alloying method, and its crystallization mechanism was analyzed. The magnetic properties of Fe⁷⁰Zr¹⁰B²⁰ mixed powders during the mechanical alloying and Fe⁷⁰Zr¹⁰B²⁰ amorphous alloy at different heat temperatures were researched. The results show that the Fe⁷⁰Zr¹⁰B²⁰amorphous alloy crystallized in primary crystallization mode. The magnetic properties of Fe⁷⁰Zr¹⁰B²⁰ magnetic amorphous alloy are related with structure, pellet size, stress, defect and other factors.

The determination of dopamine at the active carbon modified carbon paste electrode (ACMCPE) via cyclic voltammetry and differential pulse voltammetry was studied. Owing to the special quality of abundant surface functional groups, a well quasi reversible redox peak appeared between 0.37 V and 0.04 V when ACMCPE was scanning in pH=7.63 phosphate buffer solution (PBS) containing dopamine at a sc an rate of 100　mV/s. There were three linear calibrate curves of dopamine （DA） in a conc entration range of 2×10^－７~1×10^－３ mol/L for different preconcen tration time. The determination limit at Signal/Noise=3 was 7.5×10^－８ mol/L. Ascorbic acid (AA) as the familiar interfering compound had little interference in the determination of dopamine.

Compound 2,3,4,6-tetra-O-acetyl-β-Ｄ-glycopyranosyl azide was synthesized and characterized by means of single crystal X-ray diffraction. It crystallized in the monoclinic space group P2₁with crystallographic parameters a=0.759　6(6) nm, b=1.518　4(13) nm, c=1.641　2(14) nm, α=90.00°, β=90.045(1) °, γ= 90.00°, Z=2, V=1.893　0 (3)nm³. In the crystal structure of the title compound, the hexopyranosyl ring adopt a normal ⁴C₁ chair conformation and all the substituents occupy equatorial position and the azide group do not adopt beeline structure but has curve phenomena. 

Porphyrins containing different substitute groups on the base of phenyl and different metalloporphyrins (Fe,Co,Ni,Cu,Zn) were studied by means of the cyclic voltammetry (CV) in the DMF solution withtetrabutyl ammonium perchlorate (TBAP) as supporting electrolyte. The results indicate that the stronger the electronic attractive effect of substitute group is, the easier the porphyrin ring is reduced. The different metallic ions make the redox potentials of porphyrin ring shift to more negative potential, of which the shift made by zincion is the biggest.

A series of sulfonated poly(ether ether sulfone) (SMPEES) copolymers were synthesized via the aromatic nucleophilic polycondensation of disodium 3,3′disulfonate4,4′dichlorodiphenylsulfone(SDCDPS), 4,4′dichlorodiphenylsulfone (DCDPS) and omethylhydroquione. The structure of SMPEES copolymer was confirmed by FTIR. The SMPEES copolymers have high ion exchange capacity (IEC) because of omethylhydroquione itself simple structure, which results in a high proton conductivity in reactively low degree of sulfonation (DS). The copolymers have high molecular weights and exhibit a good thermal stability and solubility.

CdS semiconductor nanofilms were grown on ITO glass substrates by means of chemical bath deposition (CBD) technique with Cd(NO_{3)2 as the Cd ions and (NH2)2CS as the S ions source. The concentration of Cd ions, deposition time and posttreatment temperature have impact on CdS nanofilms formation.UVVis absorption spectrum and Atomic Force Microscope (AFM) image indicate that the change of concen tration of Cd ions and posttreatment temperature may adjust the bandgap of CdS to obtain stable uniform and compact hard films. Formation mechanism of the crystal nucleus and CdS film was also discussed. Active sites on the surface of ITO are critical to the formation of crystal nucleus and uniform compact CdS nanofilm. The active site and crystal nucleus are formed due to the comprehensive effect of electricity, thermodynamics and chemistry.}

Mesoporous material MCM-41 was prepared at room temperature, then rare earth ion Eu and semiconductors CdS were assembled in the channel of MCM-41. The CdS/Eu-MCM-41 samples were characterized by XRD, FTIR, nitrogen adsorption, UV-Vis and fluorescence measurement. Results show that the CdS/Eu-MCM-41 samples possess the mesoporous MCM-41 structures with ordered hexagonal arrangement after Eu³⁺ and CdS was assembled in the channel of MCM-41. In addition, an obvious blue shift was observed and the luminescence characteristics of the assembled CdS/Eu-MCM-41 were intensified.

Four diterpenoids kamebakaurin (Ⅰ), excisanin A (Ⅱ)， rabdokunmin C (Ⅲ) and kamebanin (Ⅳ) in Rabdosia excisa in different growth periods were determined via RPHPLC. The separation was performed on a ZORBAX Extend C18 column (250 mm × 4.6 mm， 5 μm), with mixture 23% acetonitrile and 77% water as mobile phase at a rate of 1.2 mL／min and 25 ℃， the wavelength for the measurement w as 230 nm.　The results show that the content of the four diterpenoids in Rabdosia e xcisa are different in different growth periods. Kamebakaurin (Ⅰ) and excisanin A (Ⅱ) could reach the highest content respectively in the first ten days of July; Rabdokunmin C (Ⅲ) has a little variation from the begin of June to the beg in of August, then, the content would decrease; Kamebanin (Ⅳ) could reach the highest content in the middle ten days of June, the content would decrease then. The total content of the four diterpenoids is the highest in the first ten days of July.

The cell adhesive effects of four peptides containing RGD，RGDS，RGD-(NH₂)₂ and RGDS-NH₂ on Human Intestines Cancer (HCT-8)， Human Osteogenic Sarconia (OS732) were investigated. First of all， these cell adhesion peptides were immobilized on PLGA blend membrane respectively and their effects on cell adhesion were investigated. The four peptides except RGD-(NH₂)₂ on the membrane can promote the cell adhesion to the membrane. On the other hand，MTT assay was used to examine the adhesion of HCT-8 cells and OS732 cells on the Fibronectin (FN) after treatment with cellular adhesion peptide， we found that cellular adhesion peptides RGDS，RGDS-NH ₂，RGD significantly inhibited the adhesion of HCT-8 cells and OS732 cells on the FN in dosedependent manner. RGD-(NH₂)₂ does not show an obvious ability to inhibit cell adhesion.The maximum percentages of inhibition were 53.3%，56.3%，37.5% on HCT8 and 50.9%，49.8%，34% on OS732 by RGDS，RGDS-NH₂，RGD，respectively. 

3-Methyl-1-(2-(1-piperidinyl)phenyl)butylamine was synthesized from 2- chlorobenzonitrile and 2-fluorobenz aldehyde via two different synthetic routes. The total yields were 42% and 31 %, respectively. The structures of the intermediates and the target compound were confirmed by MS, 1H NMR and １３C-NMR spectra in our experiments.

The changes in the content of both substrate glucose and ammonium sulfate, pH and flocculation activity and output of compound microbial flocculant in differ ent periods of growth cycle compound bioflocculant producingbacterium were studied. In the whole growth cycle, pH was stable, the change of carbon and nitro gen source was obvious, the content of nitrogen was consistent with the source of carbon; the maximum of flocculationactivity reached to 97.35% at 60 h point after steady period, then the numerical value of flocculation activity fell down, but not obvious. Flocculation activity had a wide region of largest value and the maximum output of flocculation (3.02 g/L) was in this region. The result of cell flocculation and growth of cell got positive pertinence. Appraisal result is: 3 bacteria are respectively Brevibacterium mcbrellneri, Burkholderia glumae and Cryptococcus albidus var aerius.　The experimental result offered a foundationto further investigations of contributing factor on flocculation and mechanism.　It provided gist in theory for culture in industrial application, too.

The characteristic and influencing factors of low concentration Pb²⁺ adsorption onto the immobilized bacteria from the activated sludge in the sewage treatment plant was studied. The results show that the adsorptionprocess of Pb²⁺ onto the immobilized bacteria was a dynamic process, and achieved the equilibrium state whthin 180 min. With the increase of the Pb²⁺ concentration, the number of the immobilized bacteria was positively related with the adsorptive capacity. The highest uptake capacity was obtained at an initial pH value of 6 and an intensity value of0.01　mol／L. The environmental temperatures influence on the adsorptive capacity of Pb²⁺ included two steps. The adsorption rate showed an increasing trend with the quality of the adsorbent raised, but the adsorptive capacity of Pb²⁺ by unit mass showed a descending trend. The concomitant Cd²⁺reduced the adsorptive capacity of the immobilized bacteria for Pb²⁺.

Indigenous microbial strains of the soil were habituated by adding thick oil intentionally. Thirtythree bacterial strains were isolated with thick oil as the carbon source alone. Two higher biosurfactant producedstrains and nine higher thick oildegrading strains were screened from all the isolates. The biosurfactants produced by strain XJ1 and SJ4 in the fermentation broth could reduce the surface tension of water from 72.4 mN/mto 36.1 mN/mand 36.2 mN/m respectively. In the process of inoculating the two strains, the rates of thick oildegradation were 35.89% and 31.59% after treatment for 14 days. For strains XJ1 and SJ4, the relation between biology quantity and the surface tension of fermentation broth was studied simultaneously. Infraredspectral analytic results show the biosurfactants are both kinds of glycolipid.

The feasibility of photocatalytic degradation of hexachlorocyclohexane (BHC) in groundwater with titanium dioxide was proved by aseries of experimental investigations. It was shown that the degradation rate of BHC was affected by irradiation time and intensity, groundwater pH and temperature. By means of orthogonal experiment, we have concluded that the optimum degrading conditions are that the radiation time is 30 min, 8 W ultraviolet radiation, groundwater pH=5, temperature is 14 ℃. The best rate of degradation is 47.96%, and the effects of Fe₃₊ and Mn₂₊ on the photocatalytic degradation were investigated through the experiments under the best degrading conditions.