Abstract:The general patterns in an air combat and the characteristics of air combat modeling are described in this paper. An air combat model for discipline in a army scale is constructed. Some effects of the air combat for different flying formation are computed using this model. These results can be used to analyze the tactics.

Abstract:In this paper two interpolating approximation schemes in arbitrary triangles are described: one is Boolean sum，the other is convex combination. These interpolated surfaces are simple to construct and easy to calculate. It is shown that the whole interpolated surface in trianglular domain is C¹continuous. Finally，it is pointed out that the discretization interpolating surface is a C¹interpolating surface for scattered 3D data.

Abstract:In this paper，the uniqueness of a positive solution to a class of second order elliptic boundary value problems is disscussed，a conjecture presented in [1] for the case n≥3 is proved. The result of [1] is improved as well.

Abstract:Some problems met in finding numerical solutions of differential equations by FFT method are discussed in this paper. The effective solutions to these problems are presented.

Abstract:The following theorem has been proved in this paper:“the chromatic number X(G)≤3 if the graph G has no subgraph homeomorphic to K₄”,thus further getting a sufficient condition for the 3-chromatic graph. So long as the theorem similar to the above one:“the chromatic number X (G)≤4 if the graph G has no subgraph homeomorphic to K₅”can be proved，the famous“4 colour conjecture (4CC)”in the world will be confirmed.

Abstract:In this paper，the piecewise-linear convex cost network flow is discussed. The methods of the negative circuit and the shortest cost path for the linear cost network flow problems are extended，thus obtaining two simple algorithms to solve the minimum cost network flow problem with piecewise-linear convex cost.

Abstract:The paper discusses the automatic design and optimization of the optical systems for the quadric aspherical surfaces with computer， presents the idea of preoptimization and its mathematical model，makes the implementation scheme for the program，thus realizing the idea to optimize original spherical system to quadric aspherical one.

Abstract:Starting from the formalism of second quantization，choosing generalized Laguerre polynomials multiplied by r^lexp(-a_lr) as the complete set of the single electron radial function，where a_l is a variation parameter depending on the orbital angular momentum l，the energy and wave function for ¹S, ³S, ¹P, ³P states of the Helium atom have been calculated with the method of configuration interaction. The relative precision of the energy calculated is about 99.9% when the total quantum number n is limited by n≤4，and is about 99.99% when n≤6，By contrast， the relative precision of energy by Hartree-Fock model for ground state is about 99%. Using the atomic wave function obtained above， some atomic parameters are calculated，and the results are in good agreement with those of other authors.

Abstract:The enumeration method is usually used to calculate the permitted J terms of jⁿ configuration，but it becomes too complex to be used when the values of j，n become large enough. In this paper，a recurrence method instead of the conventional one is suggsted，thus greatly simplifying the calculation. For example，using this method it takes only 3 seconds of CPU time of the VAX-11/730 Computer to finish the classification of j=1/2～15/2，Whereas about 290 seconds are needed if the enumeration method is used. The classification results of j=1/2～15/2 have been listed in a table，and it is pointed out that there are 3 errors in the table of res.[2].

Abstract:Starting from the second quantization formalism of the Quasispin，Spin and Orbital angular momentum operators，the QSL classification of l-shell states has been discussed，a recursion formula calculating the multiplets of QSL classification is derived from Pauli principle and the classified results of p，d，f-shell is presented. A computation program for calculating the QSL coupled wave function of l-shell has been written with the Slater-Condon rules for computing the matrix elements of Q²，S²,L² operators，and a linear algebra subroutine for diagonalization. The code takes about 30 seconds for p-shell and d-shell,about 24 minites for f-shell on VAX-11/730.

Abstract:The paper briefly describes the method of particle simulation of a free electron laser. By passing a relativistic electron beam Over a rippled staticmagnetic field，high frequency electromagnetic radiation is generated. This process is simulated through a one and two-halves fully relativistic electromagnetic program. Some relevant theoretical explanations are also represented. The influence of the axial guide magnetic field on the saturation energy conversion efficiency is studied.

Abstract:Much attention has been paid to the Brownian Motion summing up a class of physical phenomena. Recently，both computer simulations and experiments have shown that a “memory effect” is attached to the Brownian motion. A model for describing this effect has been constructed in this paper. The results of the calculations in steady case have shown that the second moment of the displacement fluctuation of micro particles is still proportional to the time intervals，and this effect eventually expresses the increase in fluid viscosity.

Abstract:The elastic scattering of electrons from He，Ne and Ar atoms is investigated in the energy range of 0.1-20 eV by using the free-electron-gas exchange (HFEGE) potential and the modified semiclassical exchange (MSCE) potential with orthogonalization technique. The target electron distribution and the static potentials are calculated based on the atomic Roothaan-Hartree-Fock wavefunctions. The correlation and polarization effects are approximately represented with a parameter-free correlation-polarization potential. The accuracy of the HFEGE and MSCE potentials and the effects of the orthogonalization procedure on the finally calculated results are analysed by comparing the present results with that of the exact-exchange calculations and experiments.

Abstract:The physicochemical behavior and the composition of gas products of HTPB thermal decomposition have been investigated systematically in this paper by combining with the technique of thermal analysis-gas chromatography-mass spectrometry (TA-GC-MS)，and infrared spectrometry. Some factors that affect the thermal decomposition of the HTPB have been discussed. The possible mechanism of HTPB thermal decomposition has been suggested.

Abstract:The Polytitanocarbosilane with the molar ratio of Ti:Si=1:10 had been prepared by the reaction of polycarbosilane with polytitanosiloxane. This polymer had excellent spinnability and stability. After being melt spinning and unmelting treatment，followed by heat treatment at 1300℃ in the presence of nitrogen atmosphere，the SiC fiber with high molar ratio of Ti/Si was obtained. The synthesis and structure of cited polytitanosiloxane，its reaction process with polycarbosilane，and the pyrolytic properties of polytitanocarbosilane were examined and discussed.

Abstract:In this paper，the preparation of the Transmission Electron Microscope (TEM) sample of NICALON (SiC)/Al preformed wires has been studied by means of Argon Ion Thinning technique. The result has shown that it is a convienient and effective method to prepare the TEM sample which contains the components with very different properties，such as the compostes of silicon carbide-aluminium. The sample of the preformed wires fabricated by the AIT method has preliminary been analyzed with the TEM.

Abstract:A microcomputer was used as an advanced tool in the study of composite material strength criterion，including the drawing of the strength enveloping lines，data acquisition in bilateral loading tests and test data processing, it also studied how to decide the cracking loads of the bilateral test. A detailed data table is provided for an analytic example.

Abstract:An effluent gas detection (EGD) system by programmed temperature gas chromatography had been developed for measuring the micro contents of thermovolatile and volatile thermodecomposition components evolved from the liquid and solid thin films，fibers，powders etc，during the heating of cited materials. These micro contents Were difficult to measure by the conventional methods of thermal analysis (Such as TG，DTG and DTA). The EGD data of evolved gases from the powdered sample of CuSO₄?5H₂O and the film samples of hydroxy terminated polybutadiene(HTPB) and dibutyl phthatate(DBP)，measured by EGD system were compared with the correspondent data obtained from TG-DTG-DTA technique. The anodic oxidation aluminum foil in boric acid bath，carbon fibre and silicon carbide fibre Were also measured by cited EGD system. The advantages and procedure Were described.