In the present paper the authors first make a generliza tion of Lehmann and Rojo's theorem on the kinds of ordering relationships, then show that the i-th order statistic of (X₁,...,X_n) and the i-th order statistic of (Y₁,...,Y_n) keep the ordering relation ships between X and Y for i=1,...,n. At last the authors investigate the invariance of the kinds of ordering relationships under monotone transformations and the i nvariance of dispersive ordering under convex(concave) functions.

The present paper deals with the existence and uniquene ss of solutions established for some n-th order three-point and four-poin t boundary value problems by means of the method of upper and lower solutions.

The main purpose of this paper is to use numerical an alysis methods to study the bifurcation porperties near a saddle-node homoclini c orbit, including stationary points, periodic orbits, and hyperbolic homoclinic orbits. As an application, a chemical reaction equation is studied and its corr esponding bifurcation properties are presented.

According to the theory of B-spline, the G2 coti nuity conditions between two patches of special NURBS surfaces, namely bicubi c uniform rational B-spline surfaces have been discussed, meanwhile, the suffic ient and necessary conditions of G⁰ are given in this paper, in order to satisfy the need of application, a special kind of sufficient conditions of G² continuity have been provided in the end.

The aim of this paper is to study the problem of interf aces for general filtration equations, and the Holder continuity of the interfaces is obtained.

This paper deals with nonlinear oscillations of conservative single-degree-of-freedom systems with odd nonlinearity. A modified Mick ens' iteration procedure is proposed to establish two analytical approximate for mulas for the frequency. The two formulas are valid for small as well as large a mplitude of oscillation.

A lattice Boltzmann model of an oblique grid mesh is proposed in this paper. With Chapman-Enskog expansion and multiscale technique, the Euler equations on the oblique grid mesh is obtained by means of selecting the high order moments of equilibrium distribution function and the oblique tensors of the coefficients.

In this paper, we discuss GC^k blending problem of two algebraic surfaces of any degree by using the tools of algebraic geometry, obtain some conditions for the existense of blending surfaces of degree p with GC^k continuity. We also deal with some special problems by using the conditions obtained in the paper and derive the corresponding condition and the constructive formulae of blending surfaces. The conditions obtained in this paper are of simple form, easy to be decided and constructive in some interest cases.

It is proved that there exist two positive numbers λ ^*,λ_*, with 0<λ^*<λ_*<+∞, such that the singular nonlinear fourth order boundary value problems y⁽⁴⁾(x)=λh(x)f(y(x)),0*) and have a positive soluti on for λ∈(λ^*,+∞) and for λ∈(λ_*,+∞), there are three sol utions, two of which are positive solutions, provided that f(y) is superlinear at y=0 and sublinear at y=+∞.

In this paper a dual simplex method for linear programming with bounded variables was given, which generalizes and extends the classic dual simplex method for a general linear programming.

With the development of computer technology, using cluster, especially workstation cluster, is very popular in parallel computing area. However, PC cluster has almost not been used for parallel computing. This kind of PC cluster consists of a group PCs connected by a network. A PC cluster comp uting environment based on queuing for dynamic scheduling and migrating parallel tasks is presented in this paper.

Constraint satisfaction problem (CSP) is a problem composed of a finite set of variables, each of which is associated with a finite domain, and a set of constraints can be used to restrict the values of the variables to be simultaneously taken. The task for solving the problem is to assign a value to each variable satisfying all the constraints. In this article, the basic algorithm and search strategies for solving CSP are summarized for the first time. Then a CSP solving system ILOG SOLVER is introduced, which was developed by France ILOG company. Finally, two map-coloring problem solutions are given by using this system.

The solution and implementation for the scheduling problem of checkout employees and the management problem of POS machines in the supermarkets were explored in this paper. First, the several modes for scheduling the checkout employees were summarized, and then the algorithms for solving them were explained. Furthermore, the corresponding mathematic models for different scheduling modes were given respectively. Second, the model and process for solving management problem for POS machines were illuminated. At Last, the description of function, system structure chart and interface design of the system for solving both employee scheduling problem and POS machine managing problem were presented.

This paper covers the investigation of super-resolution reconstruction problem in medical image processing, and the implementing of re gistration and super-resolution reconstruction from flourescein angiograms of retinal blood flow as sampled data are discussed.

The geometric structures of the eight kinds of configurations of S₄ have been optimized by using SCF-HF ab initio, MP2 and two density functional methods (BLYP, B3LYP) with 6-311+G^** basis set. Vibrational spectra have been computed for each configuration respectively by HF and B3LYP methods. Total energies have been calculated with the MP4/6-311+G** and the QCISD(T)/6-311+G^** levels for electron correlation effects us ing HF/6-311+G^** geometries. The relative stabilities of the different co nfigurations are compared to each other. It is concluded that S4 has a cis-planar C_2v ground state strcture.

The extended Solomon equations are used to describe the ¹³C spin-lattice relaxation with the ¹H RF field irradia tion. It is shown that the ¹³C spin-lattice relaxation with the ^{1H RF field irradiation is generally a triple-exponential course, which can be reduced to a single-exponential course in the absence of the 1H initial magne tization and with strong enough RF field irradiation. Based on the numerical cal culation, the large difference between the spin-lattice relaxation curves obeyi ngTC₁H}₁ and those obeying TC ₁>TH₁ is indicated. The methyl ¹³C resonance in L-valine in the solid state is examined, whose experimental results agree well with the theoretical ones.

We designed some important parameters and analyzed loss characteristics of a 8×8 polymer arrayed waveguide grating multiplexer that op ertates around the wavelength of 1.55 μm and the wavelength spacing was 1.6 nm. The total loss of the device includes the diffraction loss in the input and out put (I/O) slab waveguides, bent loss caused by the AWG and I/O channels, and lea kage loss resulted from the high refractive index substrate. The effects of some structural parameters on the loss characteristics are investigated and discusse d.

In this paper, the expression of ground state energy in metallic hydrogen system is given, the possible structure of metallic hydrogen as well as the mechanical and the thermal properties of this matter is investigated. The calculation shows metallic hydorgen with an fcc structure is on the favorable energy situation with a lattice constant a=0.226 324 nm (zero pressure condition). Besides, the weak and strong coupling superconductivities of metallic hydrogen (fcc structure) are explored, an electron-phonon coupling constant λ=1.806 is obtained, and critical temperature Tc is 179.126 K.(using e=AKh-D=m=1 unit)

This paper deals with direct-formed growth(DFG) technique. Single crystal AgCl fibers were produced by the DFG technique. The diameters of those fibers are 10 μm, 150 μm and 300 μm and their length are 40~105 cm, respectively. The growth conditions of single crystal fibers are explored and the reason of causing fiber defect are discussed.

Two kinds of Fe-bacteria(named Fb₁ and Fb₂) were s eparated from the natural water samples collected from the west district of Jilin province. Fb₁ is ellipse and its cells array in pairs and the size is 0.7~1 μm. Fb₂ is bacilliform and its cell is single or connected eac h other and the size is (0.4~0.7) μm×(1.5~2.1) μm. They are both Gram-negative bacteria. Fb₁ has spore, while Fb₂ has not any. Fb_{1 can be mobile through their flagellum, but Fb2 can not be because they have not flagellum. These two kinds of Fe-bacteria live in the water samples with a large quantities. They entered the stationary phase when they were developed in the culture medium of beef extract and peptone for 20 h, and they entered the decline phase after 24 h. The results indicate that their physiological and biochemical properties are similar.}

The interactive probabilities between medium and medium, medium and particle as well as particle and particle were obtained using computer simulation calculation based on three dimensional lattice models. The relational expression of viscosity η and effective volume fraction φ_{eff of the latex systems was resulted from the above calculating results. The concordance in form and difference in content of both Batchelor formula and Simha formula were elaborated by using the relational expression, further more, the effects of interaction between medium and particle as well as interaction between particle and particle on viscosity of poly(methyl methacrylate) latex systems were discussed by using rheological data.}

In this paper, the LCW cell is applied to the model 450 oil content analyzer, which bring the analyzer such an excellent analytical performance as low detection limits 0.01 mg/L(oil/extractant), and the sensitivity is 10 times better than the conventional instrument.

To develop effective vaccines and diagnostic agents of AIDS, reactiongenicity and antigenic specificity of the external glycoprotein gp105 and transmembrane glycoprotein gp36 of human immunodeficiency virus type 2, expressed in insect cells spodoptera frugiperda (SF9) using baculovirus expression system were determined by ELISA. The results showed that as an antigen, the expressed gp105 and gp36 showed the ability to react with HIV-2 antisera, and their reactive capacity was similar to that of the positive control (standard HIV-2 external glycoprotein or transmembrane glycoprotein), which demonstrated that the expressed gp105 and gp36 might be used as a diagnostic agent or their components and the material for immunological studies. Furthermore, the results showed that the expressed gp105 and gp36 exhibited a stronger reactiongenicity with HIV-2 antisera than with HIV-1 antisera, i.e., they exhibited a high specificity. The HIV-2 gp105 or gp36 shares approximately 40% amino acid sequence homology with that of HIV-1, and the weaker cross-reactivity is often observed. Because HIV external glycoprotein and transmembrane glycoprotein mediate the attachment and fusion of the virion to the host cell, many vaccine strategies have focused on them. Similar to native gp105 and gp36, the expressed gp105 and gp36 in this study exhibitied a good reactiongenicity and antigenic specificity, thus they can be used for the studies on its ability to induce immune responses in primate models.