This paper is concerned with the Cauchy problem for a class of degenerate parabolic equations, which describes the movement of liquid in porous media, i.e., filtration. The definitions of the entropy solution and the weak solution were proposed, then by virtue of the regularized problem, the existence of the entropy solution was shown by using the compensatory compact theorem. Furthermore, the stability of the entropy solution was obtained by the double variable method.

Let L^p_a(Dⁿ) denote the analytic functions on the unit polydisk Dⁿ that are also pintegrable. By using polydisk function theory and Schur estimate, we studied the charactarization of compactness of a bounded operator S on the Bergman space L^p_a(Dⁿ) if S satisfied some integrable conditions, and proved that S is compact if and only if its Berezin transform vanishes on the boundary of the unit polydisk. We extended the description of operators’ compactness in one complex variable to that in several complex variables.

This paper concerns with the initial and boundary value problem for a nonlinear diffusion equation with degeneracies. Based on the proof of existence of weak solutions and vanishing viscosity method, the concept of solutions of regularization is introduced, the meirt of which is the uniqueness of solutions of regularization is guaranteed, moreover, under some conditions, the existence is also established. Subsequently, as a important property, the time invariance of support set of solutions of regularization is proved. Also an explicit solution of regularization to a special problem is constructed. Finally, by the method of energy estimation, a long time behavior of the solution of regularization is studied.

The concept of locally αbidiagonally dominant matrices is used to present some equivalent representations for identifying generalized strictly diagonally dominant matrices and thus the corresponding results are thus generalized.

The interval estimation of the normal mean with respect to asymmetric loss function was studied. In location transformation group, the best equivariant and admissible confidence interval is obtained, which is a generalization of the usual confidence interval. By use of the improved method of the parameter estimator, which is used in the estimation problem with the ordered unkonwn distribution parameters, the best equivariant confidence interval is improved and a class of improved confidence intervals are constructed.

We utilized the combined maximum entropy homotopy method to solve the general nonconvex nonlinear programming problems. At first, we transformed a programming problem with many constraints into one with a single constraint using the maximum entropy function. Then we constructed a homotopy equ ation to solve the K-K-T system of the programming problems with a single cons traint and hence obtained an efficient pathfollowing method for solving the programming problems with many constraints. At last we gave the proof of its global convergence.

A generalization of the concept of deterministic index pair to the random dynamical systems is presented. The random index pair is defined for the isolated invariant random set of random dynamical systems in the Polish space, and the existence of this random index pair is proved.

On inverse semigroups, the fuzzy normal subsemigroup and fuzzy quotient subsemigroup are defined via some special fuzzy relation by using fuzzy congruence relation on set. Some basic properties of those fuzzy congruence relation, which are defined by fuzzy relation, were studied, fuzz y normal quoitent sub-semigroup R and fuzzy congruence relation μ_R on inverse semigroup S/ρ were obtained by fuzzy congruence relation β.

In view of the fact that the underwater acoustic signal can stimulate Water Surface Horizontal Mini-wave (WSHM), we have set up an experimental scheme, by means of which the pictures of the WSHM can be obtaine d and processed. We can measure the wavelength of the WSHM by means of the exper imental scheme. A series of WSHM wavelengths can be acquired through a lot of experiments. The comparison of the experiment results to the theoretical values shows that they are compatible with each other.

Negatively Associated (NA) random variables are a more general class of random variables which include a set of independent random variables and have been applied to many practical fields. It is well known that Teicher proved a strong law of large numbers for independent random variables. By me ans of some probability inequalities of NA random variables, under the weaker conditions than those in the case of independent random variables, we established some theorems on the strong law of large numbers for NA random variables with different distributions. Teicher’s results have thus been extended to the negatively associated random variables.

With the alternating iterative algorithm, solved parameters estimation question of mathmatic model in the case of unknown error variances, which contains two linear models with the same parameters under linearinequality constraints, was investigated and two least square estimation sequences and the approximate solutions that refer to the parameters in the model were obtained, on the basis of which via fixedpoint theorem and numbers theorem of solutions of multivariate polynomial equation group it was proved that the estimation sequences are convergent in probability 1.

Constructive algebraic geometry methods were used to discuss the construction of nonlacunary interpolation basis on a subset of a given set of nodes in Rⁿ. We presented the existence conditions theoretically and related algorithm.

We proposed a 25bit lattice Boltzmann model for the compressible NavierStokes equations. It is based on threespeedlevel and threeenergylevel. We used the conservation laws of the mass, momentum and energy, and the method of higher moments of the equilibrium distribution functions to get the compressible NavierStokes equations with the second accuracy of the truncation errors. The numerical result shows the model has a higher accuracy and resolution than the first accuracy model.

Based on the properties of the quadratic variation of local square integrable strong martingales, the stochastic integral of predictable processes with respect to local square integrable strong martingales is defined. Some important results that this stochastic integral is still local square in tegrable strong martingale are obtained. These results contain and extend some results which have been proved by Cairoli and Walsh.

A new method for expressing and reasoning directional relations between indeterminate spatial regions based on the operation property of interval value is given after analyzing existing models which is different from the original directional relation models that use traditional fuzzy set and cutset. The membership grade of direction relations between indeterminate regions is analyzed via interval value direction relation matrix. We divided directional relations between indeterminate regions into four types: directional relations between crisp regions, directional relations between crisp region and indeterminate region, directional relations between indeterminate region and crisp region and directional relations between indeterminate regions. The model can uniformly deal with crisp regions as a specific case of indeterminate regions. It is valuable in the fields such as GIS, spatial reasoning.

An Ontologybased approach to define the authorization policies of an RBRBAC model was proposed, by which one can effectively define complex attribute expressions, quasiorder relation definition among attribute values and role hierarchies among roles in the OWL style policies. Comparison between attribute expressions without identical syntax structures is permitted to gain an insight into the relationships of all kinds of authorization rules. We can make authorization decision and perform seniority levels reasoning via an OWL reasoner. Moreover, conflicts among related authorization rules can be detected by consistency check.

Two methods of edge detection and segmentation based on partial differential equation (PDE) are introduced, they are Snake Model and Level Set Methods. We worked out Euler equation corresponding to Snake using variational method and proved nonstability of the three discrete schemes which are forward differential, backward differential and center differential. We detectd the edge of microscopic cell image by constructing algorithms with upwind differential scheme. The results suggest it is stable and convergent.

This paper reports a hiding scheme based on linear interpolation according to the characteristic of the audio frequency information, which makes the secret information resuming have no data lost, and wavelet transform is used to further reinforce the disguise and robustness of the hiding method. Through experimentation, we have proofed that the result is very good.

The management of user interface and data operation plays a key role in the development of scientific instruments, especially in the control program of an instrument. The complexity responses the same event at different states and atomic state transition should be considered seriously. In this paper, a method is proposed to resolve the management of the state in the control program of the chemistry instrument with State Pattern, which has been successfully extended into our electrochemical instrument, Amphetameter.

The energy levels of Σ^- atom are obtained by solving the Dirac equation numerically. The calculated result agrees with the relevant experimental data very well. Our result, along with the previous calculation result concerning K^- atom, indicates the validity of the optical model potential to the strange exotic atoms. Moreover, it can be derived from our result that the strong interaction between the nucleons is a repulsive force.

The resistance of ZnS was in-situ measured under high pressure by using integrated microcircuit on DAC with an alumina film as a insulating layer. It has been confirmed that the phase transition of ZnS is a semiconductor to semiconductor phase transition, not a semiconductor to metallic phase transition. The reversibility of the phase transition of ZnS is observed. In addition, the hysteresis of the phase transition of ZnS was found.

The D⁺→K⁰l⁺ν_l decay was researched by means of QCD sum rules. Firstly, the form factor of D→K was calculated by chosing a new correlative function to eliminate the effect caused by the uncertainty of twist-3 function, so the calculation result of the form factor is more precisely, and the branch ratio is consistent with the experimental data.

This paper focuses on the influences of the discharge current and methane concentration on the stress-strain properties of Chemical Vapor Deposition (CVD) thick diamond films. This has laid good foundations for the promotions of the qualities, especially the mechanical properties of thick diamond films.

Based on the analysis about photon correlation spectroscopy, a high time resolution experimental method for the measurement of dynamic light scattering is proposed. The dynamic light scattering experimental system is composed of a photomultiplier tube, a virtual digital storeoscilloscope module and a personal computer. This experimental system is designed to work mainly on analog detection, in which the photomultiplier output is used directly as an analog signal. The test results of nanoparticles demonstrate that the time resolution of this experimental system is 12.5 ns.

This paper introduces the basic principle of the drill hole measurement in oil pipes by magnetic-flux, and explores the structure and condition adaptability of the magnetic measure sensor. In laboratory, we simulated the measurement of the drill holes in oil pipes and gave the result.

This paper introduces a system of the microwave radiometer data acquisition, the system is mainly made up of PC104 based on the Linux operating system and the microcontroller based on MCS-51. In the hardware the vital part of PC104 is SB-810 which is a main board used in industry control and the vital part of MCS-51 microcontroller is the logic control part. With the proper memory device and other peripheral circuit, the data acquisition system has come true. In the software PC104 is programmed in serial communication under Linux operating system mainly. Via this method, the serial communication between PC104 and MCS-51 microcontroller has been successfully realized. The small system can gather the data that the microwave radiometer has transmitted. This system has been proved to reach the measure standard and to work steadily. The system displays good performance under the badly environment.

SiO₂ nanoparticles were obtained by means of Stober method, and the surfaces of the particles were modified. The monodisperse nanocomposite SiO₂/PSt particles were prepared by emulsion polymerization, and the size of the composite particles can be controlled successfully. The morphology, size and structure of the particles were characterized by TEM and particle size analysis. The effects of the quantities of SiO₂ nanoparticles, emulsifier and the proportion of medium etc on the composite nano particles have been discussed.

Y₂O₃ ∶Er,Yb nanocrystals were synthesized by the reverse microemulsion under hydrothermal treatmentwhich became high luminescent Y₂O₃ ∶Er,Yb upconversion nanocrystals via calcination at a certain temperature. Compared with nanocrystals prepared by reverse microemulsion, the enhancement of upconversion luminescent emission was observed. The hydrothermal treatment improved the crystallinety of the nanocrystals which favored the population of electron on the ^{4F_9/2 level of Er ion. This led to the enhancement of the red emission.}

Effects of physical aging on the tensile properties, stress yielding mechanism and submicroscopic structure of amorphous PES copolymer film were studied by DSC, stressstrain curve and fluorescence spectrum measurements. It was shown that an endothermic peak appeared on the DSC curve and the T_g increased, its initial modulus and yield stress increased while the elongation decreased. The viewpoint of cohensional entanglement (CE) was employed to interpret the experimental results, which indicated that the stress yielding of aged PES copolymer was the destruction of the CE formed during aging. The study of fluorescence spectrum proved that the excited phenylenerings of amorphous PES copolymer with high density phenylenerings in its main chain could form an excimer with the surrounding unexcited phenylenerings, and the emission peak intensity of excimer was strengthened with the increase of aging time. The result of electronmicroscopy investigation indicates that PES copolymer has formed a local order structure during the physical aging.

For detecting the process of reaction between Bromelain and Fibrinogen, quantum dots synthesized in aqueous solution were used to label bromelain in order to form CdTeBromelain. CdTeBromelain were used to detect the reaction process between CdTeBromelain and Fibrinogen as fluorescent probes. The results show that fluorescence spectrum is gradual blueshift and the fluorescence intensity declines gradually with the increase of time.

A method for the determination of trace elements in traditional Chinese medicines by graphite furnace atomic absorption spectrometry (GFAAS) is described. The matrix modifier used in this work was NH₄H₂PO₄. The effects of matrix quantity, ashing temperature and atomization temperature were investigated. Matrix modifier NH₄H₂PO₄ can not only improve the sensitivity of determination but also eliminate the matrix effect. Under the optimum experimental conditions, copper, iron and zinc in traditional Chinese medicines such as radix angelicae sinensis, flos sophorae, herba taxilli, folium apocyni veneti and radix scutellarae were determined. The recoveries are between 90% and 110%, the relative standard deviation is less than 5%, and the experimental results are satisfactory. This method is rapid and reliable. It provides a simple method for the determination of trace elements in traditional Chinese medicines.

With automatic electric potential titrantion and sodium gluconate as the complexing agent, which can coordinate to the aluminum in the sodium aluminate solution, followed by the replacement of aluminum in sodium aluminate solution with KF and the same equivalent weight of OH- to that of aluminum was released, the contents of caustic hydroxide， sodium carbonate and alumina in the sodium aluminate solutions can be continuously determined. It makes the analysis simple, fast and the result is satisfied.

In order to investigate the genetic structure of Dongzhouperiod ancient population in Helingeer in Inner Mongolia and relationships between the ancient population and related extant populations as well as to trace the possible origin at a molecular level, mtDNA hypervariable region Ⅰ (HVR Ⅰ) of 10 ancient individuals was amplified and sequenced. Phylogenetic analysis and multidimensional scaling analysis were also performed based on the mtDNA data of the ancient population and the related Eurasian populations.The results show that the ancient population is closer to the populations from Northern Asian than the other compared populations in matrilineal lineage. Combining the research results of archaeology and anthropology as well as molecular biology, we can conclude that they are nomad who migrated from Mongolian altiplano and cisBaikal area to Helingeer in Inner Mongolia.

A thermophilic strain CW₂, which can produce a type of starchdegrading enzyme, was isolated from the soil around a hot spring in the Changbai Mountains. The products from starch by the enzyme were determined by thin layer chromatography (TLC) and the results show that the enzyme is a kind of ectoenzyme that could catalyze the degradation of starch to produce isomaltooligosaccharide including isomaltose, isomaltotriose, and panose as dominant products. The 16S rDNA of the strain was amp lified by PCR and was sequenced (873bp), and then was compared with those available in the GenBank databases. The result shows that CW₂ 16S rDNA sequence is most similar to that of Bacillus licheniformis ATCC 14580,Bacillus licheniformis DSM 13 and Bacillus subtilis strain JM4, there are only 9,9,13 different bases between every pair of sequences, the sequence similarities are 98.97％,98.97％,98.51％, respectively. The phylogenetic trees including CW₂ were derived with neighbor joining and analyzed with Bootstraping. The results demonstrate that CW₂ strain is close consanguinity to Bacillus licheniformis and Bacillus sonorensiss, they belong to the same sister cluster in Bacillus group. 

Strain CW₂M₃ was mutagenised from strain bacillus thermolicheniformis CW₂ by ultraviolet ray, and the activity of secreted neoamylase by CW₂M₃ is increased by 232.7% compared with that of CW₂ under the identical conditions. Moreover, strain CW₂M₃ is genetically stabile. The results of thin layer chromatography of the products from starch catalyzed by the neoamylase demonstrate that the neoamylase can be used to catalyze starch to produce isomaltooligosaccharide, including isomaltose, panose, isomaltotriose, from starch. The optimum conditions under which the neoamylase was secreted by CW₂M₃ were confirmed by orthogonal tests. The results show that the most important parameter to secrete the neoamylase is temperature for culturingCW₂M₃ and the optimum conditions to secrete the neoamylase are as follows. The strain CW₂M₃ should be cultured in the medium of 0.7% brewis, 0.7% peptone, 0.5% NaCl, pH 7.0 at 40 ℃ for 12 h, whereas the most important parameter to utilize the neoamylase is catalytic duration and the optimum conditions to utilize the neoamylase are in pH 7.0 starch system, at 65 ℃ for 1.0 h. 

The expression vector pET-28c-cycD was constructed by inserting human cyclinD1 cDNA into pET-28c(+) and was identified by digestion with restriction enzymes and sequence analysis. Then an expression strain was selected after the transformation of the recombined plasmid into E.coli BL21(DE3), fusion protein with Histag was efficiently expressed in the form of inclusion body a fter IPTG induction and its content was approximately 23% of total bactrerial pr oteins. The inclusion body was washed, dissolved and purified by Ni²⁺chelate chromatography under denatured condition. The inclusion body protein was renatured by gradual removal of urea through dialysis to obtain the purified fusion prote in. SDS-PAGE analysis and Western blotting with an anticyclinD1 antibody showed that fusion protein with a molecular weight of about 43 ０００ was purified and its purity was up to 98%.