The present paper deals with the persistence of lower dimensional tori, the integrable system has a more general form. By intr oducing a KAM iterative scheme, we set up a KAM-type theorem and proved that the majority lower dimensional tori are not destroyed by the perturbation, the survived tori might be elliptic, hyperbolic, or a torus containing elliptic and hyperbobic ones.

The present paper deals with a sufficient condition of the central limit theorem for the sum of random number of m-dependent B -valued random variables, and presents the central limit theorem for the sum of random number when B is 2-type of space.

In this paper are considered the Bayesian estimation of the number of psychological state and its admissibility by means of introducing, the entropy distance of information theory being viewed as the loss function. The simulation results of the estimation are given. At the end of the paper is proposed a testing method for the testing problem: H₀: c=1 against H₁: c>1.

On the basis of considering the likely limit sets of a 4-order Feigenbaum's map and their Hausdorff dimension, we have proved that for any t∈(0,log_{3^1/2+12), there always exits such a 4-order nonsingle-valley Feigenbaum’s map which has a likely limit set with Hausdorff d imension t.}

In this paper is considered the long time behavior for Sobolev equation in single space variable. We have constructed semi-discrete a nd full-discrete pseudospectral approximation and obtained uniform optimal error estimates in time interval 0≤t<∞.

The least-squares solutions of the inverse problem of anti-centrosymmetric matrices is discussed, and the expression of the solution is obtained. In addition, the problem of using anti-centrosymmetric matrices to construct the optimal approximation to a given matrix is discussed, the necess ary and sufficient conditions about the problem are derived, and the expression of the solution is provided.

The equivalence property of two strategies in return-risk models is discussed according to Lagrange’s method of multipliers and Kuh n-Tucker conditions. It is proved that the two optimal portfolios which were sel ected from the strategies are equal provided at least two of the n expected returns are not equal.

Given two graded rings R=_x∈MR_x, A= _x∈MA_x and one graded bimodule V=_RV_A= _x∈MV_x we can obtain a graded trigangular matrix ring T. In this paper are discussed the property relations among R,A and T for graded strongly π-regularity, weakly graded direct finiteness and some gr aded ring properties in close relationship with graded J-radical.

The present paper presents the definition of the stopping for two-parameter strong martingale and deals with the stopping properties for two-parameter strong martingale. It has been proved that the stopping for strong martingale is still strong martingale, the stopping for square integrable strong martingale is still square integrable strong martingale, the stopping for uniform integrable martingale is still uniform integrable strong martingale.

The present paper defines a kind of unconnected graphs of ⁿ_i=1F_mi,4. Furthermore we have proved that the unconnected graphs of ∪ⁿ_i=1F_{mi ,4} are graceful ones and it is alternating ones.

An image is decomposed into a multifrequency channel representation by means of a set of Fourier transformation or discrete consine tra nsformation(DCT) base. We got the data of the image on the frequency space, and transformed these modulus so as to realize the obscurity of the image’s data. F rom the results, we have found out that such obscurity of information is obscure and puzzling to aggressors.

The present paper deals with the controllability of the second order nonlinear systems with three point boundary values. We converted the controllable problem into deducing the problem of an operator possessing fixed points so as to use Schauder fixed-points theorem to study these interesting control lable problems.

This paper introduces the basic algorithm and search strategies of particle swarm optimization (PSO), via presenting the concepts of swap operator and swap sequence an algorithm of a kind of special particle swarm optimization is constructed and then proposes its application to traveling salesman problems(TSP). The experiments show the new PSO can achieve good results.

The present paper deals with a new static slicing algori thm of threaded program based on the program’s control-flow information. The main idea of the algorithm is to retain the control-flow information while the threaded program dependency graph is constructed, with which the threaded realized paths can beidentified, by doing this we can improve the slice’s precision and slicing’s efficiency. An example program and its slice are provided in the end.

In this paper a simple reflect language is first defined on the basis of which its interpreter based on Monad is designed. At last the language is implemented in Haskell, a high order function language.

A ZnO thin film was grown on substrate Si by RF reactive magnetron sputtering. The X-ray diffraction (XRD) pattern of the sample shows a sharp diffraction peak for ZnO(002), which indicates that as-sputtered film is highly c-axis oriented. In the experiment, we made the profile of depth, measured ZnO in the various depths, and did qualitative and quantitative calculation. The results indicate the sample is uniform unitary phase consistent the positive stoichiometric ratio before etch reaching the interface, which shows this method could be employed to grow films well. But on the interface, the chemical shift of Zn Auger modify shape, the change of Zn Auger peak shape, the ratio of Zn_2p3/2 and Zn_LMM peaks integral a reas, the asymmetry of Si_2p peak all show the effect of forming t he bond on the interface of Si and ZnO. And n-Si is changed into p-Si on the int erface.

The diamond-like films deposited by high power excime laser were annealed at different temperatures (200~800 ℃) to study their therm al stability. Raman and XPS spectra were used to characterize the change of the chemical bonding structure of the diamond-like films annealed at different temperatures. The results show that the diamond-like films are composed of fewer sp² C bonds and larger sp³ C bonds fractions. When annea ling temperature was varied in the range of 200~600 ℃, the films have a good thermal stability. But when annealing temperature was increased continually from 6 00 ℃ to 800 ℃, the transformation from sp³ C to sp² C occurred in the films. Thus, higher temperature annealing can lead to the formation of larger fractions of sp² C in the films, the content of sp ³ C drops from about 70% to 40% as annealing temperature is increased from 200 ℃ to 800 ℃.

Alford matrix rotation and linear transformation methods have been studied and used to inverse the data acquired by advanced cross-dipole acoustic array logging tool. From the data inversion we gained the direction and the quantity of the anisotropy of the media around the borehole. The validi ty of the inversion methods and the programs have been verified through processing synthetic data and the features of these two methods has been compared. The inversion programs have been applied to processing field data and the results of inversion are satisfactory.

The effects of small addition of rare earth (RE) on mechanical properties and stress corrosion behavior of Al-Zn-Mg alloy have been investigated. The results show that the addition of RE causes a shift of the peak hardness to shorter aging time and significantly increases the hardness, yield strength, tensile strength, elongation as well as stress corrosion cracking (SCC) resistance in the peak hardness of alloys aged at 150 ℃. Optical microscopy observation and X-ray diffraction showed that RE decreases grain sizes and expedite the precipitation of strengthing phase(MgZn₂). In addition, the a ddition of RE decreases markedly hydrogen content in the alloy.

Considering of the thermal resistant and sensitive char acteristics of metal platinum, as well as the heat and electricity insulating ch aracteristics of SiO₂ and SiN_x, we designed a kind of the Si-substrated micro structural gas sensor, which used platinum filament as heate r, gold electrodes with crossing fingers shape as sensitive film electrodes, SiO ₂ and SiN_x as thermal and electricity insulation. Then we simulated and analyzed the static and the transient processes of the heater of t he Si-substrated micro structural gas sensor using the finite element analysis ( FEA) tool ANSYS. The perfect results of the static temperature distributing and the transient response have been obtained.

Mossbauer spectroscopy and X-ray diffraction spectrometry were perform ed to research the magnetic properties of Fe₆₀Ni_40-xMn_x and Fe₆₀Ni_35-xMn_xCo₅ Fe-bas ed alloys. The magnetic phases change from ferromagnetic to antiferromagnetic st ate with the increase of Mn in Fe-based alloys. Besides, we obtained the changea blerelationships of the mean hyperfine field H_hf, magnetization i ntensity M and correlated Mossbauer parameters with the averaged electron co ncentration of the alloys.

A new tungsten-oxygen cluster ［Ni(en)₃］₂(BO3)(WO₄）₂(3H₃O) has been hy drothermally synthesized at a mild temperature. The results of X-ray single cry stal structure analysis indicate that the title compound crystallized in a trigo nal system and space group P-3m1 with a=b=0.9335(13) nm, c=1.2536(3) nm, α=90° ，β=90°，γ=120°， V=0.9461(3) nm³, Z=1, D_c=1.912 Mg/ m³, μ=7.104 mm^-1, F(000)=534, R=0.0323, R_W=0 .1459.

The electrochemical polymerization of aniline on a nanocrystall ine titanium dioxide film e lectrode(Nano-TiO₂) has been achieved by means of cyclic voltammetry in a medium of 1 mol/L sulfuric acid and s canning voltage range of -0.2~0.8 V at a rate of 100 mV/s. The complex film was charactered by TEM, AFM, XRD and FTTR. The result shows that the formation of the complex film and the values of peak current are influenced by the concent rations of sulfuric acid and aniline, the scanning rate and the scanning voltag e on Nano-TiO₂. The higher the solution concentration is, the higher the rate of the membrane formation, whereas the stability of the membrane is decreased. The peak current increased with the elevating of scanning rate and p otential, but the reversibility decreased under the s ame condition. It also shows that the surface of TiO₂ nanoparticles of 10~35 nm in diameter is incompletely coated by polyaniline.

In this paper is studied the main technique of the enzymatic hydrolys is of walnut to prepare the peptide with low-molecular weights. A new technique of hydrolyzing　walnut protein with an enzyme has been worked out. This paper de als with the effects of hydrolysis temperature, optimum pH, substrate concentrat ion, enzyme amount and hydrolysis duration carried out with the enzyme on the hy drolysis proportion of the walnut pro tein. The results show that increasing the enzyme concentration and hydrolysis duration, the hydrolysis proportion raises significantly. The suitable hydrolys is conditions of this enzyme are hydrolysis temperature of 40 ℃, optimum pH 9, substrate concentration of 40 mg/mL, enzyme amount of 150 U/g, hydrolysis durat ion of 2 h. Under such conditions, the degree of the hydrolysis of the hydrolyz ed walnut protein is about 20%. It is a good way for the hydrolysis of walnut.

An atomic force microscope(AFM) was used to observe enzyme topology on a multilayer enzyme/polyelectrolyte film on structured trans parent indium-tin oxide(ITO) covered glass electrode surface. The multilayer film was prepared by alternate electric field directed layer-by-layer assembly d eposition， the alternate deposition of glucose oxidase and polyelectrolyt e poly (diallyldimethyl-ammonium chloride) (PDDA) on ITO glass electrode surface . Also, from the atomic force microscopic measurements, the more information of the multilayer constructed by different methods on the modified electrode sur face was obtained and compared. Under a low applied voltage, enzyme molecules exist on the film in cluster form, while in an aggregate form under a high a pplied voltage.

The oxidition-reduction behaviour of Keggin and Dawson types of molyb dophosphoric heteropolyacids and molybdovanadophosphoric heteropol yacids was studied by cyclic voltammetry in the mixed solvent of water-dioxane containing supporting electrolyte, 0.1 mol/L H₂SO₄.　The ability and reversibility of the oxidation-reduction of molybdenum and vanadium were analyzed. The influence of vanadium content on the oxidation-reduction beha viour of the molybdovanadophosphoric heteropolyacids was also discussed. The abi lity of the oxidation-reduction of Dawson type of the molybdophosphoric heteropo lyacids is stronger than that of Keggin type of the molybdophosphoric acids. The reversibilities of the oxidation-reduction of molybdenum and va nadium became worse both for the Keggin and Dawson types of the molybdovanado phosphoric heteropolyacids with the increase of vanadium content. The characteri stic fingerprint of these compounds allows us to distinguish the Dawson type mol ybdophosporic heteropolyacids from the molybdovanadophosphoric heteropolyacids.

Two methods of extracting Lilium brownii polysaccharide, hot-water method and combined-enzyme method, were studied and the optimum conditions of t he two methods were found. The yield of the polysaccharides extracted by combine d　enzymes was 2.8 times that of polysaccharides extracted by hot-water. It was also found that the antioxidative activity of the polysaccharides, such as i nhibiting effects on O^-₂·, ·OH, the hemolysis of human R BC induced by H₂O₂ and the formation of MDA, extract ed by combined-enzymes were much greater than that of those extracted by hot-wa ter. After extracted by the two methods, the polysaccharides were separated by s ephedex G-75 gel filtration chromotography and three fractions were eluted out. LBP-3, whose molecular weight was about 13 400 and had the highest antioxida tive activity of the three fractions, was found to exist in polysaccharides extr ated by combined　enzymes much more than that to exist in those extracted by hot-water.

Based on the relationship between partition function and entropy in s tatistical thermodynamics for a distinguishable particle system, the atomic weig ht (A_r,i) and electronic shell number(n_i) of ground state atom i has an excellent correlativity with the standard entropies ［Ｓ^{0_m／(J·mol-1·K-1)］ of 70 cations in solid c ompounds: S0_m=-0.51＋3.59·(1.5ln A_r,i)_{1 .4}-0.31(ln n_i)2, R=0.9996. Based on the relationship between enthalpy and partition function for an indistinguishable parti cle system, the linear regression equation between ground state energies (ε_i) and hydrated enthalpies［-Δ_hH_m/(kJ·mol-1 )］ of 51 metal ions is drawn up: -Δ_hH_m=46.93＋525. 49ε_i, R=0.9920. The calculated values of Ｓ0_m ， Δ_hH_m basically tally with the experiment values.}

After studing the plumbum orgin in Total Suspended Particulates(TSP) of the ambient air of Changchun urban district， the results show that 94.8% of plumbum in TSP of the ambient air come from the vehicle exhaust. The forecasted and tested plumbum contents in TSP of the ambient air of the main t raffic line after using lead-free gasoline show that after using lead-free gasoline, there is a great decline of plumbum content in TSP of the ambient ai r and a difference between the two results.

The grey system relevant analysis method was used to s tudy the main influential factors of Agricultural Ecological-economic System in Baicheng city， the results show that the peasant population and agricultural acreage have the greatest influence on the total output value of agriculture amo ng all comprehensive factors. The farming, forestry, animal husbandry and fish ery are unbalance in development. The capability of the farmers’ individual i nvests is low. According to the an alysis of grey-relation between the agricultural modernization level and total output value of agriculture, the dosage of chemical fertilizer has the greates t contribution to the total output value of agriculture. The power-driven irriga tion and drainage equipments, the effective irrigation area and the built electr omechanicafl wells have less relation to the total output value of agriculture b ecause of improperness or lowness of utilization. According to the analysis of g rey relation between farm product yield and the total output value of agricultur e, the output of maize makes the greatest contribution. Combined with the actua l circumstances, the measures for improving agriculture were put forward.