ON THE ASYMPTOTIC BEHAVIOUR OF THE STEADY SUPERSONIC FLOWS AT INFINITY

This paper studies the asymptotic behaviour of steady supersonic flow past a piece-wise smooth corner or bend. Under the hypothese that both vertex angle and the total variation of tangent along the boundary are small, it is shown that the solution can be obtained by a modified Glimm scheme, and that the asymptotic behaviour of the solution is determined by the velocity of incoming flow and the limit of the tangent of the boundary at infinity.     

A modal analysis for the acoustic radiation problems, Ⅱ. Examples

The acoustic radiation modes and the field distribution modes describe the radiation patterns of a complex vibrating surface and the field distribution patterns respectively. The physical meanings of the acoustic radiation modes and the field distribution modes are revealed by numerical method. For a sphere body, a spinning body and a rectangular body, the geometrical patterns of the acoustic radiation modes and the field distribution modes are given. The radiation mode 1 represents the radiation behavior of a monopole radiator, the radiation modes 2 through 4 represent the radiation behavior of dipole radiators respectively, and the radiation modes 5 through 9 represent the radiation behavior of quadrapole radiators respectively. The acoustic radiation modes and the field distribution modes introduce the multi-pole decomposition method into discussion of the acoustic radiation problems.     

数学串诗一首

忧愁是可微的，快乐是可积的，在趋向于正无穷的日子里，幸福是连续的，对你祝福可导且大于零，祝你生命里快乐和幸福的复合函数总是最大值!     

爆炸焊接参数的计算机辅助设计

 根据爆炸焊接理论，综合分析了相关爆炸焊接参数的计算方法，利用Visual C++语言编制了爆炸焊接参数计算机辅助设计程序，该程序采用菜单和视图形式对输入、输出命令结果进行操作，方便直观。与有关实验结果的对比表明，计算所给出的焊接窗口及最佳焊接参数具有很高的准确度。爆炸焊接CAD方法对于减少实验次数，摆脱经验设计方法，选择最佳焊接参数将是非常有用的工具。     

TiN和Ti1-xSixNy薄膜的微观结构分析

使用x射线衍射(XRD)、x射线光电子谱(XPS)、高分辨透射电子显微镜(HRTEM)和原子力显微镜(AFM)多种观测手段分析了TiN薄膜和Ti1-xSixNy纳米复合薄膜的微观结构.实验分析证明Ti1-xSixNy薄膜是由直径为3-5nm的纳米晶TiN和非晶Si3N4相构成,并且Ti1-xSixNy薄膜的表面粗糙度小于相同条件下制备的TiN薄膜,在Ti1-xSixNy薄膜体系的自由能中引入界面能的概念,在此基础上分析了体系中TiN晶粒的取向问题.     

完备可分度量群上的齐次Levy过程的复合Poisson逼近

该文利用算子半群的方法给出了取值于具有左不变度量的完备可分群的齐次Levy过程是复合Poisson过程的弱极限这一结论．     

A Fixed Point Theorem for Multi—valued Composite Increasing Operators

Ａ　Ｆｉｘｅｄ　Ｐｏｉｎｔ　Ｔｈｅｏｒｅｍ　ｆｏｒ　Ｍｕｌｔｉ－ｖａｌｕｅｄ　Ｃｏｍｐｏｓｉｔｅ　Ｉｎｃｒｅａｓｉｎｇ　ＯｐｅｒａｔｏｒｓＬｉＦｅｎｇｙｏｕ（李凤友）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，Ｔｉａｎｊｉｎ＇ＮｏｒｍａｌＵｎｉ...     

特征向量法建模与理论

本文从矩阵理论的角度，介绍特征向量法(亦称特征根法)建模过程中所遇到的理论问题。     

横向放大率法确定复合光学系统的基点

介绍了应用测量横向放大率确定两薄透镜组成的复合光学系统基点的方法。由于采用线阵光电耦合器件（CCD）测量物经光学系统成像的横向放大率，提高了测量精度。     

太阳核心中7Be电子俘获几率的计算

在太阳核心的条件下,⁷Be原子被完全电离.所以,重新计算的⁷Be和⁸B太阳中微子流强分别约为4.00×10⁹cm^－2·s^－1和6.18×10⁶cm^－2·s^－1,而标准太阳模型预言的⁷Be和⁸B太阳中微子流强则分别是4.80×10⁹cm^－2·s^－1和5.15×10⁶cm^－2·s^－1.这将进一步增大在Super Kamiokande太阳中微子实验上中微子流强的实验测量值与理论预计值之间的差异.