We researched the problem of Lagrange interpolation of polynomial space on the algebraic manifold. We posed the concept of sufficient intersection about s(1≤s≤n) algebraic hypersurfaces in n-dimensional space and proved the dimension of polynomial space P⁽ⁿ⁾_m(which denotes the space of all multivariate polynomials of total degree≤m) on the algebraic manifold S=s(f₁,…, f_s) (where f₁(X)=0,…, f s(X)=0denote s algebraic hypersurfaces) of sufficient intersection, then gave a convenient expression for dimension calculation by using the backw ard difference operator. We deduced a general method of constructing properly posed set of nodes for Lagrange interpolation on the algebraic manifold, namely, the superposition interpolation process. The existence of properly posed set of nodes of arbitrary degree for interpolation on the algebraic manifold of sufficient intersection was proved. At the end of this paper we gave the characterizing conditions of properly posed set of nodes forinterpolation.

Let (A,B,V,W,ψ,)be a Morita Context with ψ and both zero bimodule homomorphisms and C the corresponding Morita Context ring. We obtained some property relations between [WTHX]C[WTBX] and A,Bvia classical mathods in ring theory, and generalized some results on formal triangular matrix rings.

The present paper discusses the existence of weak solutions to the initial and boundary value problem of a class of degen erate parabolic equations in non-divergence form. The authors applied the method of parabolic regularization to prove the existence of weak solutions to the problem. By carefully analyzing the approximate solutions to the problem, the authors made a sequence of estimates to the solutions and proved the weak convergence of the approximation solution sequence and hence testified the existence of weak solutions.

By introducing a parameter and using the way of weight coefficient, we computed accurately a weight coefficient and gave a generalized Hilbert-type integral inequality with a best constant factor. As its application, we established its equivalent form.

An improved genetic algorithm based on machine learning is presented. In the improved algorithm we make genetic algorithm and machine learning proceed alternatively with the assistance of improved factors. For solving multiobjective optimization problems, the improved algorithm can find more and wider Paretooptimal solutions, with more stability, convergence, global search and without premature convergence.

We established sufficient conditions for the controllability of integrodifferential equations in Banach space with nonlocal condition by means of Schauder fixedpoint theorem for compact maps. An example was given to illustrate the resultes.

Let R be a prime ring withL a noncentral Lie ideal ofR. If d andg are the derivations ofRsuch that (d(u)u-ug(u))² is central for all u∈L, then d=g=0 or R satisfies s₄ the standard identity in 4 variables.

The existence principles of the solution for the onedimension p-Laplacian singular boundary value problem were established by u sing the Schauder fixed point theorem and nonlinear LeraySchauder alterative theorem. It was proved that the solution of the onedimensionp-Laplacian singular boundary value problem is bounded under certain conditions. 

A new homotopy method, called boundary moving combined homotopy method, for solving convex programming was presented. Existence and conv ergence of a homotopy path were proved under only Slater’s condition and a coercive condition. In contrast to the existed combined homotopy interior point methods, the start point needs not to be an interior point of the feasible set, so the new method is more convenient to use. Some numerical examples are given to show its efficiency.

To enhance the computing speed of high dimensional integral, an alternative Monte Carlo sampling algorithm is proposed in this paper.Firstly, the integral region is partitioned into net form. Secondly, grid points are sampled by using discrete Gibbs sampling method whose weighted functions are values of corresponding density function. Lastly, a new sampling sequence will be obtained by adding an uniform variable sequence to the original sequence correspondingly, and an estimation of the integral is given. The new sampling algorithm is as simple as the traditional numerical method. Simulating output showed that the new algorithm performs very well in computing speed.

A quasi-Newton method for finite minimax problems is presented, which possesses global convergence and locally superlinear convergence proven without strict complementarity at the Danskin point.

We proposed a new lattice Boltzmann model for the small disturbance subsonicpotential flows. Using ChapmanEnskog expansion and multiscale technique, we obtained a series of lattice Boltzmann equations and the equilibrium disturbance functions that satisfied with the small disturbance subsonic linear flows equation. The numerical simulation agreed with the classical result well.

A prey-predator system with Holling’s Ⅰ functional response is discussed. When the response function is φ(x), the behaviour of equilibrium points, the boundedness of the solutions and the globally asymptotic stability of positive balance point were studied by means of the qualitative analysis method, conditions of nonexistence of the limit cycles were obtained. Utilizing the method of Liapunov function and the PoincareBendixson theorem and forming Liapunov function method, the sufficient conditions of the existence of the limit cycles were also obtained.

The present paper deals with a class of second order twopoint singular boundary value problems which are widely applied to many fields. We turned the singular boundary value problems to nonsingular problems, and p resented a numerical method for them. Furthermore, numerical experiments were carried out.

The compact submanifolds in quasi constant curvature Riemannian manifolds with Parallel Mean Curature Vector were studied. By using Stokes theorem, and some last results of algebra inequation, an integral inequality was obtained. The work makes the study of compact submanifolds in quasi constantcurvature Riemannian manifolds extend from the especial case to general case.

A new method is proposed to compute hitting sets by using the number of conflict sets corresponding to the components. Furthermore, the computing procedure is formalized by combining SE\|tree with closed nodes to generate all the minimal hitting sets. Since closed nodes are added into SE\|tree, the search efficiency is highly improved. The program is easy to realize, and the algorithm can improve the diagnosis efficiency to satisfy real-time requirement even for a complex system.

πCalculus is used to encode the semantics for the SKIcalculus which is a representative of combinator calculi. SKI calculus is Turing complete, and this work shows the expressiveness of πcalculus. Furthermore, this work provides a precondition for uniting and comparing combinator calculi, lambdacalculus as well as higherorder functions with other concurrent models under the theory of πcalculus.

An edge detection method of noisy micro image was proposed where threshold was performed via statistical principles. The region whose change rate of intensity is maximum was extracted by applying statistical functions. Then an edge pixel was detected from the extracted region with the nonmaxima suppression algorithm. The gradient strength at each pixel was standardized locally before threshold was selected so as toeliminate the ambiguity and inappropriateness in choosing global threshold values. However, the values of the input parameters providing the appreciable results in the proposed detector were found to be more stable than other edge detectors and possess statistical interpretation, which can efficiently handle random noise present in an image. The results of the proposed algorithm were compared with those of many wellknown edge detectors. The results suggest it can produce reliable, robust, and smooth edges.

A web service based information integration solution is presented, which is a suitable solution for the information island problem we encounter today. By using this solution, government may manage and report the information of every enterprise more efficiently. We studied the architecture, security policies and other key points of the solution and discussed the Enterprise Datareport System. The system can meet the aim of expansibilityand security.

A grad intensity method is put forward to process edges’ intensity of an image, this measure mostly uses simple grad transform to potentate the image edges, at the same time, a dilation method of mathematical morphology is applied to achieve rapid orientation of the license plates. In the process of characters segmentation, we first proposed least area circumrotation means in order to ascertain the best rotation angle of the license plate, then we adopted the way of perpendicularity projection to segment the characters of the license plate.

An extraction system of Chinese names was designed. The system adopts the neural network to deal with the Chinese word segmentation, then carries on extraction of name by means of rearmounted characteristic word according to name. The system solves the question of extracting Chinese name succes sfully whose tail character and the following character construct a word. With the sentences with this kind of name in “People’s Daily”’s corpus base of Janua ry of 1998 the testing data, the result shows that the recall and precision rates are all improved a lot compared with existing methods.

Firstly, this paper presents a method of the dorsal hand vein pattern recognition based on ridgelet transform according to the structure and features of human hand vein patterns images. Secondly, a neural network with local interconnection structure described for its application to extracting the features of hand vein patterns images in order to improve the recognition ability of this biometric system for the unclear image. The experimental data show that this method has more perfect results. 

Nash Equilibria computing is one of the most important problems in noncooperative games. In this paper, we give a searching algorithm for finding a simple Nash equilibrium in twoplayer games. We limit the searching strategy space according to rank and the conditionally dominant rows of the payoff matrix, order the space, and seach the limited and ordered strategy space for finding a simple Nash equilibrium.

This paper introduces the replantation of a real-time multitask kernel μC/OS-Ⅱ in 80C186 and its application in a aerospace payload controller. Based on the priority-based preemptive scheduling mechanism, μC/OS-Ⅱ can support as many as 56 tasks, which can be reduced according to the user’s needs. Through application of the real-time kernel μC/OS-Ⅱ in the aerospace load contrller, it can reliably receive the command and finishes its tasks.

An embedded system with multiple digital signal processors (DSP) based on a digital signal processor/basic input output system (DSP/BIOS), which is a kind of real-time operating system, for corona detection via double spectral method was introduced. Multiple tasks in the corona detection were processed via a multiple threads technology to develop the system. Sensors’ control data and image data were processed respectively and many tasks in corona detection were processed smoothly and real-timely on this system. Both hardware and software of the system were introduced. Real-time corona detectionvia its solarblind ultraviolet image and corona location via background’s visible image were realized by means of this system with small cube, high real-time ability, easyexpanding characteristics and high reliability. It is b etter than the other embedded system based on DSP without DSP/BIOS in the as pects of reliability and realtime ability. For the system is based on DSP/BIOS, it is convenient to expand the system via development tools and make it suitable for multiplesensor systems, such as supervising system, detecting system and etc.

An embedded system with multiple digital signal processors (DSP) based on a digital signal processor/basic input output system (DSP/BIOS), which is a kind of real-time operating system, for corona detection via double spectral method was introduced. Multiple tasks in the corona detection were processed via a multiple threads technology to develop the system. Sensors’ control data and image data were processed respectively and many tasks in corona detection were processed smoothly and real-timely on this system. Both hardware and software of the system were introduced. Real-time corona detectionvia its solarblind ultraviolet image and corona location via background’s visible image were realized by means of this system with small cube, high real-time ability, easyexpanding characteristics and high reliability. It is b etter than the other embedded system based on DSP without DSP/BIOS in the as pects of reliability and realtime ability. For the system is based on DSP/BIOS, it is convenient to expand the system via development tools and make it suitable for multiplesensor systems, such as supervising system, detecting system and etc.

We first analyzed the relationship between mass customization and product configuration, and the present condition, research contents, knowledge representation of product configuration not only from the applicati on point of view but also from the theoretical research one. On the basis of the facts described above, we proposed the graphbased knowledge representation of configuration, moreover, we pointed out the methods to lowering the complexity of configuration computation and improving the efficiency of configuration solving, and the application prospects of configurators.

A novel method was proposed to extract harmonic signals from measured data contaminated with chaotic interference. A new phase space projection method was established to separate harmonic signals from strong chaos by combining phase space reconstruction with wavelet transformation based on the geometry of chaos. Power spectrum density estimation was used to extract the frequency of harmonic signals, and extraction accuracy for harmonic signals was raised by means of wavelet filtering and least-squares estimation. The excellent results were achieved from computer simulation experiments, which verify the effectiveness of the approach. 

By means of solving Schrdinger’s equation and numerical calculations, the radiation squeezing effects in the system of the binomial states field interacting with a moving Ξ\|type three\|level atom are discussed. The results indicate that the radiation field can show complete squeezing effects when the system parameters are selected appropriately.

This paper deals with the problem of truncating the open boundaries of cylindrical waveguides under the rectangular coordinate system, and gives the CPML’s construction parameters. The performance of CPML was simulated when it was used to truncate the cylindrical waveguides excited by the sources with different frequencies and modes. The numerical results show that the maximum relative error is less than -70 dB, which can meet the requirement of numerical simulation.

The quantum properties of light in the system of three entangle atoms in the W-type states interacting with radiation fields in binomial states were studied by means of quantum theory. By means of the numerical method, the relations between the quantum properties of the system with the initial states of the W-type three entangled atoms and the parameters of binomial optical fields are discussed.

The fabrication and characterization of high-quality transparent heterojunction between n-type ZnO film and p-type diamond single crystalline film on the substrate of diamond bulk single crystal are described. The results indicate that the current density of the fabricated p-n junction reaches 110 A/m2 when the forward bias voltage is 2.5 V, and the turn-on voltage value is about 0.75 V that are in agreement with the expected values. Moreover, the excellent rectification characteristic and transparentness in the visible light range were applied in the device.

Nanocrystalline LaFeO₃ films were synthesized via the sol-gel technique on silicon substrate. XPS spectra were taken after the nanocrystalline LaFeO₃ films were treated in ethanol and nitrogen dioxide gases respectively. XPS analysis showed that when ethanol was adsorbed by LaFeO₃ film, the surface adsorption of oxygen obviously decreased, Fe content decreased a little bit as well; on the other hand, when NO₂ was adsorbed on its surface, the surface adsorbed oxygen increased apparently and Fe content increased as well; in the mean time, the transition trend from Fe³⁺to Fe⁴⁺ was found. All the observations above show that the mechanism of the gas sensitivity of nanocrystalline LaFeO₃ films is closely related with the surface adsorption of oxygen and the changeable valance of iron. 

This paper introduces nRF401 which is a single chip wireless transceiver module, and summarizes its application of communication between a PC and other machines. This paper also elaborately discusses such communication systems in consideration of the hardware and software.

The current laser detection method to measure the concentration of sulfur dioxide was discussed. Different concentrations of sulfur dioxide were measured with the technique of laser\|induced fluorescence (LIF). The results show that the method mentioned here can be used to measure the concentration of sulfur dioxide in the atmosphere.

Gd_xBiY_2xFeO₁₂(x=0，0.1，0.2，0.4，0.6，0.8) nanocrystals were synthesized viathe solgel method. Samples were characterized by means of powder Xray diffraction (XRD), thermal gravity analysis (TGA) and differential thermal analysis 　(DTA), transmission electron microscopy　(TEM), vibrating sample magnetometer　(VSM). The average sizes of the particles were determined by virtue of Scherrer’s formula and were in a rang e of 43~50 nm. The effect of Gd³⁺ substitution for Y³⁺ on magnetic properties of BiY₂Fe₅O₁₂ was investigated. 

A new Fe-Zn double metal cyanide (DMC) complex is a very effective catalyst for the ringopening polymerization of propylene oxide. With tertbutyl alcohol as the chain transfer agent, orthogonal experimental design was used to find the optimal conditions for the polymerization. The optimal conditions: temperature 100 ℃,t=6 h,w(Cat)=15 mg,w(t-BuOH)=15 mg. Polyoxyproylene diols with M_n(10000～13000)were prepared, and these polymers exhibited the narrow polydispersity (M_w/M_n≤1.30). The me chanism of polymerizationwas discussed.

Near infrared diffuse reflectance spectroscopy combined with partial least square (NIRSPLS) was applied to analyzing the isoniazid in isoniazid tablets quantit atively and establishing quantitative mathematical calibration models of NIRS. In these models, the root mean square error of crosscalibration (RMSECV) was 0.00632.The root mean square error of prediction (RMSEP) was 0.006　03. The regression coefficient (R) was 0.99456and the average recovery of isoniazid was99.772%. In reappearance experiments, the relative standard deviation (RSD) was 0.526%.These results demonstrate that this method is of precise validation. Moreover, it also has the merits of convenience, nondestruction, no polluti on, good reappearance and is available for online detection.

A molybdenum complex ［Cu(imi)₂₄[(imi)₂(Mo₈O₂₆)］·H₂O(imi： imidazole) was prepared by means of hydrothermal synthesis and characterized via single crystal Xray analysis, IR and XPS spectra, thermogravimetric analysis, elemental analysis and electrochemistry analysis. The complex molecular consists of an imidazolecoordinated octamolybdate anion, four imidazolecoordinated copper(I) cations and a lattice water molecule. A three dimensional framework was formed by complex hydrogen bonding and π-π interactions.

The interaction between indomethacin and human serum albumin (HSA) was studied by means of the fluorescence quenching method. The binding constants were obtained at different temperatures. The effects of metal ions on the binding constants were discussed. According to the thermodynamic parameters， the main acting force between indomethacin and HSA was determined.

Effects of glutathione peroxidase (GPX) mimics (2-seleniumbridgedβ-cyclodextrin, 2-telluriumbridged β-cyclodextrin) on lipidperoxidation, survival ratio, cell cycle and external reactive oxygen species (RO S) content in rat thymocytes, which were radiated by UV-B, were studied invitro. The 2-SeCD and 2-TeCDcan efficiently resist the damage induced by UV. It was found that 2-TeCD possessed a stronger ability to prevent thymocyte from UV-B damage in comparison with 2-SeCD.

The wheat and liquorice seeds were disposed by electret membrane with different strengths. The experiments showed that after the seeds were treated with the proper electret membrane, the conductivities of the soaking solutions of wheat and liquorice seeds can be reduced obviously, and the activity of superoridedismutase (SOD), peroridase (POD) and catalase (CAT) enzymes of the seedlings can be increased remarkably chlorophyll content in the same unit area can be raised, and the seeding drought resistance property can be strengthened remarkably. 

Nanometer granulation technology to extract lipase can get higher quality and more enzyme. This way is not only risen by three times than traditional ultrasonic method, but faster, higher efficiency and can be applied to the production on a large scale. The way of making emulation for checking lipase dynamic is optimized and more steady dynamic data have been obtained.

The gene maps of eighteen maize samples were analyzed by intersimple sequence repeat (ISSR) and random amplified polymorphic DNA (RAPD) marker methods. The ISSR method was the primary method and was validated by the RAPD method. 4 highly polymorphic primers were screened out from 30 random ISSR primers and 2 highly polymorphic primers were screened out from 30 random RAPD primers. In conclusion, uniting ISSR combined with RAPD can raise the veracity of indentification.