The present paper presents some comparison theorems on a class of quasilinear degenerate parabolic equations and by means of the result s obtained in this paper a theorem on the strict monotonicity of generalized so lutions is proved.

The present paper presents a non-interior continuation method for solving linear complementarity problems without strictly complementarity, where r>0 is any integer. The new algorithm follows the smoothing path generated by means of the smoothing equations via aggregate function, and is proved to be of global linear and local r-th order convergence under suitable assumptions and conditions.

This paper presents the definition and the properties of the γ-subjacobi matrix of the vector value function on Rⁿ. Fur thermore, the paper deals with the definition and the properties of the γ-convex of the n-dimension vector function.

This paper deals with the unassociated condition between a marker gene and the disease in structured population and unstructured population and the practice background of unassociation of the gene and the disease.

The shooting method is used to establish the existence and uniqueness of a positive solution to a class of singular nonlinear two-point boundary value problems.

A lattice Boltzmann scheme for the distribution of the displacements in the Beltrami flow is proposed. The concept of Beltrami vertex flow is used to find the structures of the fluid velocities. As a numerical example, we simulated the Arnold-Beltrami-Chidress solution of the Beltrami flow by using the lattice Boltzmann method.

The present paper makes a description of the growth of the organizations in cellular automata. By using the concepts of the life and the death. We have found the law to the growth and an algorithm for the life of th e simple organizations of cellular automata.

This paper proves that the rolling sphere surface determined by two algebraic surfaces is also an algebraic surface.

An equality is proved by discussing the relationship between a matrix and its submatrix and a test statistical variable for the parameter hypothesis test of liner model (Y，Xβ，σ²I_n) is obtained.

The present paper deals with the asymptotic properties of estimation and likelihood ratio test for-two exponential populations with pa rtially missing data. The limit distributions of estimators and likelihood ratio test are given, the strong consistency of estimators is also proved.

The present paper presents a short proof of the conjecture that a ring with a finite maximal subring is a finite ring.

The present paper deals with a neutral hyperbolic differential equation with boundary condition and presents the definitions of solution and oscillatory solution for this equation with boundary condition. A new method for judgement of oscillation is obtained and the known results are spreaded.

The present paper deals with the solution for some typical scheduling problems with genetic algorithm, and the workshop scheduling prob lem was been implemented with genetic algorithm. The experimental results demons trate that genetic algorithm can find global optimal solution quickly.

In order to build an applied system, this paper gives an inventory model algorithm, cost-comparing mode, which is designed for the case of definitive discrete demand. On the basis of this mode and other inventory m odels, a decision support system (DSS) for inventory management is designed and implemented, which can answer the question of optimizing inventory, and provide the inventory decision-maker with the function of powerful decision support

The present paper presents the dependence of the conduc tivity of TiO₂ thin films on the different substrates and on the thick ness of the films. It was found that the resistivity of the TiO₂ thin films de posited on Ti and Si substrates increased non-linearly with the increase of the thickness of the films and varied in the range from conductor or semiconductor to nonconductor, respectively. The conducting layer thickness of the films deposited on diff erent substarte materials is different and the films deposited on glass are nonc onductors. This is attributed to interface electrons transfer, and the conducting layer thickness is determined by the work function difference between substrates and thin films.

By means of the Fourier expansion technique and the decoupling approximation, the frequency dependence of the third order optical nonlinear susceptibility χ_e of composites with fractal geometry was ca lculated. The results show that obvious enhancement peaks occur in the Re(χ_{e)-ω curves at particular frequencies. Compared with the composites in which the inclusions were arranged in a periodic square lattice, when the fractal clusters of the inclusions were formed, the enhancement peak occurred in the case of periodic lattice was weakened, and new enhancement peaks occurred. The results also show that the intensities of the enhancement peaks were sensitively dependent on the characteristic relaxation time τ.}

We have found a new synthesizing method by means of studying the effects of the synthesizing conditions on the structures of LiNiO ₂ and LiAlO₂, respectively, and successfully synthesized Al doped LiN i_1xAl_xO₂(x=0~1.0) solids solutions. T he sintering experimental results show that the samples with low Al content must be synthesized in the oxygen atmosphere. Al doping can not only inhibit the lithium deficiency but decrease the forming temperature of the products and their dependency on oxygen during synthesizing them. From XRD results we found out that all the samples crystallized in the α-NaFeO₂ structure. The lattice parameters change with incr easing Alcontentviz axis a is shortened, larger the c/a ratio is increased and crystal volume V₀ is decreased. These changes show that the syn thesized samples well crystallized in the layer structure.

In order to achieve required stabilities of pump lasers and make laser diode work at a constant temperature, we designed a stable temperature control system and set up its theoretical model. We got an optimized con trol plan after concrete analysis. This system was cooled(warmed) by adopting TEC with two-way current. Many types of temperature sensors can be used. The PID processor and a good result have been achieved.

Physical vapor deposition in horizontal systems has been used for the growth of crystal thin-film of organic semiconductor pentacene. By using 10~30 mg starting material, 20~30 mm² sized crystals thi n-film, sui table for the characterization measurements of the device fabricated, has been g rown. And we have analyzed the thin-film of pentacene crystal by using TEM， X -ray diffraction and scanning electron microscopy.

The frequency domain profiles of DANTE pulse sequence are calculated according to the analytical solutions of Bloch equations. The results show that the first and the last pulses of pulse sequence show the biggest e ffects on the side band. If the widths of the first and the last pulses are redu ced to one half, the side band can be suppressed to a great extent. The correspo nding experimental results coincide well with the above conclusion.

The grating was mounted on the materials with negative temperature coefficients. The experimental results show that the temperature co efficients of packaged fiber Bragg gratings are about 0.000 2 nm/℃, compared w ith 0.01 nm/℃ for an uncompensated grating. Furthermore, the optical fiber gra tings packaged in this way show the features of smaller volume, lighter weight a nd practice. This technique is simple and can be applicable in fiber communicati on systems.

The formation and the coarse of δ′ phase in 1420 Al- Li alloy treated by retrogression and reaging were investigated by means of smal l angle X-ray scattering (SAXS) technique. It was found that there existed atr ansition zone between δ′ phase and matrix for 5 h reaging treatment, and the transition zone disappeared for 48 h reaging, then the coarsening of δ′ particl es was caused by their swallowing up each other.

On the basis of rheological experimental results, we analyzed the rhe ological mechanism of the latex system. The viscosity mechanism of a common hard -sphere latex particle system is considered to be related to the hydrophilicit y of the polymer chain. The stronger the hydrophilicity is, the higher the viscosity is. In the acid medium, the viscosity mechanism of the system of latex particl es containing carboxyl is the same with that of the common hard sphere latex sys tem. But in the alkali medium, the system of latex containing carboxyl appears an a lkali-thickening phenomenon. So the alkali-thickening mechanism has been consi der ed to be attributed to the bridge-structure formed from the hydrogen bonds of the particles. This opinion is different from the early deduction “from th e swell to the solution of the latex particle”.

Pb and Cd adsorption on the surface coatings in the pH range from 4. 5 to 7.0, which were cultivated in a reed pond in Xianghai, was carried out. The data of Pb and Cd adsorption on the surface coatings fit both Freundlich and Langmuir isoth erms very well (n=5, p=0.01), and the maximum adsorption of Pb on the su rface co atings is one order of magnitude greater than that of Cd. Meanwhile, the maxim um adsorption of Pb and Cd on the surface coatings increases with increase of pH i n the solutions, showing significant linear correlation.

The Cu-ZnO-Cr₂O₃/SiO₂ catalyst was pre pared by the impregnation method. The effe cts of the reaction conditions and the catalysts preparation conditions on the d ehydrogenation of 2-butanol and the selectivity for MEK were studied. Based upo n the characterization by means of XRD, TPR, EPR and BET, the optimal conditio ns of the reaction and the preparation of catalysts were suggested.

Freshwater surface coatings were collected in Jingyuetan Lake, Jilin Province for the measurement of Pb and Cd released by the surface c oatings after adsorption. Double-constant rate equation and Elovich equation wer e employed as models to describe time-varying release of Pb and Cd adsorbed by t he surface coatings in laboratory. The results indicated that the rate of Cd rel ease by the surface coatings was greater than that of Pb with 10% of Pb and 60% of Cd released to solutions near equilibrium, respectively.

The effects of light intensity, temperature, dissolved oxygen, pH value and hu mic acid on the degradation of α-naphthol were investigated, respectively, by means of indoor and outdoor simulation experiments. The quantum yields of the p hotoreact ions of α-naphthol in natural water were determined. On the basis of which its theory half-lives of photodegradation of α-naphthol were deduced also, whi ch were coincident with the actually determination values.

The synthesis of methylal from methanol and methanal over different types of molecular sieves was studied. A batch reactor was employed. In a molar ratio of 1∶2 of methanal to methanol and in the presence of 5%(mass fraction) the cata lyst, five sorts of catalysts (HZSM-5, HY, HM, Hβ and γ-Al₂O ₃) were tested at 30 ℃, among them, HZ SM-5 showed the best catalytic activity. HZSM-5 with 38∶1 of Si to Al and 4 of exchange degree was extremely effective for this reaction. The conversion rate of mathanal was 45% and the selectivity of methylal was 99%, both the conversion rate and the selectivity were reproducible after th e catalyst was reused for 20 times.

The immobilization of lipase with diatomite powder as the carrier by t he means of absorption method was studied. The results of the optimal condition s for im mobilization are that pH is 7.7; temperature is in the range of 30 ℃ and 35 ℃; ionic strength is in the range of 0.01 mol/L and 0.03 mol/L; the optimal ra ti o of diatomite to lipase is 8∶1(mass ratio).