The present paper deals with the estimation problem for zero mean value AR(p) model with one date or two continuous data missed. The paper is based on the EM algorithm. By using the iterative method, we have obtained the estimated values of parameters.

A quadratic convergent iteration method with adjusted parameters without derivative for solving nonlinear equations is discussed in this paper. We have deduced the iterative formula by the theory of the dynamic system, proved that the quadratic convergence holds under the weak conditions, and done the numerical experiments.

The present paper deals with the third type interpola tion process of Bernstein in a deep step. An operator G_n(f;r,x) is co nstructed by means of the modified method of two zero nodes. It is proved that the operator converges to arbitrary continuous derivative function f(x)∈C ^j_［-1,1］(0≤j≤r) uniformly and the convergence order of the operator G_n(f;r,x) is the best.

This paper is devoted to the discussion of properties of solutions for a class of higher order diffusion equations. Asymptotic behaviour and Blow-up in finite time have been established.

The present paper deals with the pinching problems on the compact subm anifolds with a parallel mean curvature vector in a local symmetric space and a pinching theorem on the square of the second fundamental module length of this k ind of submanifolds is obtained and two known results of Song Wei-dong and Ouya ng Chong-zhen have been generallized.

For natural numbers n,m,i∈N, let K_i be an i-vertex complet e graph, K_n is the complementay graph of graph K_n, St(m) represents a m+1-vertex star tree, T_n is a n-vertex tree, P_{n is a n-vertex path, P2∨Kn is the join graph of P2 and Kn. The present paper presents two kinds of unconne cted graphs (P2∨Kn)∪St(m) and (P2∨K}n)∪T_n, and proves that the two kinds of graphs are graceful graph s when n≥2.

In this paper, the sequential max-min problem is considered. At first, an explicit first order condition, called the generalized K-K -T condition, is given and then, by using the secondary aggregate function technique and the homotopy method, a smooth path following method is given to find a generalized K-K-T point.

In this paper, we prove that the condition for the existence of a C¹ blending surface whose degree is n+1 of n quadratic surfaces along their plane intersections is that there is a cubic blending surface of any two quadratic surfaces and the coefficients satisfy some proportional contact.

This paper deals with the Hermite interpolation problems of nonuniform rectangular grids based on constructive algebraic geometry tools, and presents the expressions of interpolation basis for 2-dimensional real space.

Let Pⁿ_m-pathconnected denote the graph of eac h pair of vertices that has paths each order from m to n, the following result i s obtained: for a 2-connected graph of order n(n≥6), if NC≥n-δ+1, then G is Pⁿ₆-pathconnected graphs or G=G₂: (K_{s+Kh), the result has also improved some results by Faudree etal and Wei Bing, Zhu Yong-jun.}

The kinetic flux vector splitting (KFVS) method was used to simulate t he shallow water long wave equation. Based on the analogy between the gas dynami c equation and shallow water long wave equation in combination with the TVD fini te difference scheme, a numerical scheme for the shallow water long wave equatio n is proposed. The dam breaking wave was calculated. The comparison of numerical solution with exact solution indicates that KFVS method can well capture the di scontinuity of the shallow water wave equation.

A characteristic value of the quaternion numbers has been defined by u sing its matrix form. The classification method of generic Lyapunov matrix equat ion, the characteristic determinative method of solution, a necessary and suffic ient condition of the equation having solution and an expression of solution are presented by finding solutions of Lyapunov matrix equation of the quaternion nu mbers.

In this paper, a necessary condition on the existence of a non-trivia l solution for the semi-linear elliptic equation (-Δu=λ₁u+|u|^{2 *-2}u) with zero boundary, the critical Sobolev exponents and the eigenvablue (λ₁) is given, so is obtained the correspondent co nclusion in weighted condition.

PageRank is a web page ranking algorithm proposed by Google, a well kn own search engine. The algorithm is an iterative process that determines web pag e ranking based on page link structure, or co-citation. PageRank is a successful , but not a perfect algorithm. For instance, a heavily linked web page mightn’t be so important if it has few visitors. We first integrated page click informati on with PageRank calculation, and then employed Seidel’s method to speed up the convergence of the iteration process. Experimental results show that about 23% performance improvement is achieved with our improved algorithm.

An anatomy of two representative arithmetics of the Apriori and the FP -Growth explains the mining process of frequent-patterns item set. The improved method is put forward by comparing the arithmetic characteristics of candidate item set and non-candidate item set. The constructing method of FP-tree structure is provided and how it affects association rule mining is discussed.

It is intended to prove that the of the optimum displaying problems re lated with geometry data solution can be found in polynomial time, under certain condition. After a brief introduction of the background knowledge, this problem is analyzed and its mathematical model and its standards are stated. By transfo rming the problem into the marching problem of bipartite graph, an algorithm is given, which can find the best solution in the polynomial time. Thus the goal is achieved. At the end of this paper, our future work is pointed out also.

The present paper deals with the technique how to implement the new ge neration internet search engine. First, the principle of the internet search eng ine is outlined. Then, the architecture of CHINA_VIVI----a new generation intern et search engine is given. Finally, the realization of CHINA_VIVI is described i n detail.

Aim at the restricted tree-like organization, we have proposed an int egration automation approach which makes the database application systems effect ively integrated. The approach supports dataflow process definition, consequentl y it supports business process reengineering. The approach supports integration system’s batch deployment, it has provided a way for large-scale different plac e’s database application integration.

According to the LUT construction of programmable logic device (PLD) i n FLEX10K series and the saving resources principle, we designed a code division multiple access (CDMA) parallel match filter by using the folded filter and com plex programmable logic device (CPLD). The input data width is 8 bits, the outpu t data width is 16 bits, and the chip rate is 16. Using the EDA-Ⅳ development s ystem, we realized hardware programming on the FLEX10K chip, and completed simul ate analysis in the MAX+Plus Ⅱ.

WTWe designed a kind of drive and control system for the semiconductor laser diode that supplies the semiconductor laser diode with high steady current output, automatic power control and automatic temperature control. Thus the life time of laser is improved and a more pure spectrum is obtained.

The mutating and the screening of the original fungus were carried o ut by the ultraviolet radiation method to obtain a mutant species T1 of high pr oducting pullulan and its transformation rate of pullulan could reach 30.14%, which is 5.7 times that of the original fungus. Meanwhile, by designed ort hogonal experiments, the optimum fermentation conditions of the original fungus and the mutant fungus T1 were compared. The optimum fermentation conditions of t he mutant fungus T1 are determined as follows i.e., peptone is 0.5 g/L, saccharose 50 g/L, pH 5.0. The rate of the transformation of the carbohydrate i s mainly related to the concentration of the nitrogen source in the mutated fu ngus fermentation. At the same time, the fermentation characteristics of the ori ginal fungus and the mutated fungus were also studied. It was found that the characteristics of the mutant fungus were greatly changed.

The stereoselective hydrolysis of racemic glycidyl esters catalyzed by lipase in a biphasic system was studied. The results show that porcine pancreatic lipase (PPL) shows a high enantioselectivity towards glycidyl butyrate. The results also show (1) the optimal pH value was 7.6, (2) the optimal reaction t emperature was 27 ℃ and (3) the optimal reaction time was 4 h. Under all above optimal conditions, R-glycidyl butyrate with more than 93.3%　ee was pre pared and the hydrolysis degree of racemic glycidyl butyrate was 60.6%.

The effects of reaction conditions, such as temperature, space velocit y have been investigated in liquid-phase isobutene oligomerization over Nafion at 1.8 MPa. The catalyst stability and the character in the reaction have been discussed also. The isobutene conversion is enhanced with the increase of reacti on temperature rapidly in the range of 30～60 ℃, and the main liquid products a re the dimmer; whereas the main products are the trimmer at the reaction temper ature higher than 60 ℃, the isobutene conversion is higher than 86%. The catalytic activity of Nafion increases with the increasing of accessible sulfonic group. High temperature profits to en hance the swelling capacity of Nafion and makes the bulk phase more accessible. Furthermore, the increase of accessible acid sites caused by temperature is sta ble and irreversible. It can be restored by lower temperature treatment for long time. More diisobutene can be obtained at a low temperature over silica-suppor ting Nafion.

The halide can be oxidized with a suitable oxidizing agent to produce halogen gas that can be absorbed by CD-4 to form a colored compound. The absorbance of the compound can be measured at 510 nm and therefore the halide can be determined. The method has been used to determine trace chloride in tap water.

The optimal conditions for the determination of the concentration of the hydrolyzed polyacrylamine in the waste from oil extraction by the starch-ca dmium iodide spectrophotometry were investigated and the reaction mechanism was explored.

The trace elements in the human bone of Bronze Age from Xinjiang were determined by ICP-AES. The sample was dissolved in HNO₃ and HCl, and all the elements could be determined simultaneously. The method i s simple, rapid, precise and convenient. The results would be helpful for research in archaeology.

The particles of lanthanum hexagogal ferrite Ba_1-xLa_xFe₁₂O₁₉ were synthesized by the sol-gel method. Their crystal structure, particle morphology, electromagnetic properties and microwave absorbing property were studied. The magnetization, the retentivity and the coercivity of the synthesized barium f errite decrease greatly due to the addition of La³⁺, and t hey are up to the corresponding ones of soft magnetic materials. It was found t hat the microwave absorbency of barium ferrite in the range of 1.65～2.95　GHz was good.

Adsorption of Mn²⁺ to natural surface coat ings developed in the South Lake was carried out for the purpose of investigatin g pH changes of different systematic solutions, which were prepared by minimal m ineral salts (MMS) and distilled-deionized water (dd water) with Mn²⁺ present and absent, respectively. The results show that the pH values of the four solutions employed increased remarkably during the initial adsorption perio d first, subsequently decreased to a stationary value gradually. In addition, the pH values of MMS solutions were higher than those of dd water solutions without MMS accordingly, and solutions without Mn²⁺ higher than those of solutions with Mn²⁺ presen t. The variety of pH in the study could be described by an oxide surface adsorp tion conjugate model.

A novel conjugated poly-4-hydroxyl-styrylpyridine was synthesized under the catalysis of horseradish peroxidase. The phenyl ring of 4-hydroxyl -styrylpyridine was polymerized directly in the enzyme catalyzing reaction. The fluorescent spectra of the mo nomer and the polymer indicate that poly-4-hydroxyl-styrylpyridine has a good photoluminescence character and the polymer has a bigger conjugated system and r igidity than the monomer.

Two types of CdS nanoparticles with different fluorescence characteri stics were directly synthesized in an aqueous solution by using mercaptoacetic a cid as the stabilizer. The fluorescence spectra show that these two types of CdS nanoclusters emit strong blue and yellow fluorescence respectively. T he biomolecules such as the functional protein, specific antibodies can be coupled with the free carboxyl groups on CdS nanoparticle by means of t heir amino-groups, which has laid the foundation of simultaneously labelling se veral kinds of biololgical macromolecules.

The short-wavelength near-infrared spectroscopy and multivariate calibration were used for the rapid and accurate determination of etchanol in wines. Pure ethanol/water and ethanol/water mixtures were studied to estabilsh the spectral features. The analysis of the second-derivative difference spectrum da ta was accomplished with multilinear regression(MLR) and principal component reg ression(PCR). This method has the advantage of rapid analysis.

The present paper deals with the theoretical basis, designing thinking and practical method of atmospheric environment impacting the assessment (EIA) of computer software, and a program is written in Visual Basic language to make the calculation of the data from EIA, which makes the concentration calculation of atmospheric diffusion model finished rapidly and accurately by means of a computer.