正交组的初等变换求法

本文给出了用矩阵的初等变换求正交组的一种方法.     

谈Joshi水平井产量公式

认为 Joshi在推导水平井的产量公式时 ,把水平井的流动视做向一个点汇的垂直流动与向一与水平井等长的垂直裂缝的水平流动的代数相加 ,这种简化处理是不对的 ,物理解释是牵强的 ,所给的水平井产量公式是错误的 .文中在保证地层内具有稳定流动的基础上 ,利用保角变换对顶底不渗透油藏中心有一口水平井的产量公式进行了重新推导 ,给出了水平井产量公式的修正公式 ,并且利用等值渗流阻力法进行了解释     

煤气站凉水塔的技术改造

通过对冷煤气站中凉水塔的重要作用及其现状、运行形式的介绍，提出了存在问题及改造方向，并认为WTZ系列玻璃钢风筒式自然吸风凉水塔可作为今后煤气站凉水塔改造的首选方案。     

化归方法在数学分析中的应用

从方法论角度阐述了数学化归法在数学分析中的应用和意义.     

Robust stability test for 2-D continuous-discrete systems with interval parameters

It is revealed that the dynamic stability of 2-D recursive continuous-discrete systems with interval parameters involves the problem of robust Hurwitz-Schur stability of bivariate polynomials family. It is proved that the Hurwitz-Schur stability of the denominator polynomials of the systems is necessary and sufficient for the asymptotic stability of the 2-D hybrid systems. The 2-D hybrid transformation, i. e. 2-D Laplace-Z transformation, has been proposed to solve the stability analysis of the 2-D continuous-discrete systems, to get the 2-D hybrid transfer functions of the systems. The edge test for the Hurwitz-Schur stability of interval bivariate polynomials is introduced. The Hurwitz-Schur stability of the interval family of 2-D polynomials can be guaranteed by the stability of its finite edge polynomials of the family. An algorithm about the stability test of edge polynomials is given.     

HEAVY TRAFFIC LIMIT THEOREMS IN FLUID BUFFER MODELS

A fluid buffer model with Markov modulated input-output rates is considered.When traffic intensity is near its critical value, the system is known as in heavy traffic.It is shown that a suitably scaled sequence of the equilibrium buffer contents has a weakor distributional limit under heavy traffic conditions. This weak limit is a functional of adiffusion process determined by the Markov chain modulating the input and output rates.The first passage time of the reflected process is examined. It is shown that the mean firstpassage time can be obtained via a solution of a Dirichlet problem. Then the transitiondensity of the reflected process is derived by solving the Kolmogorov forward equation witha Neumann boundary condition. Furthermore, when the fast changing part of the generatorof the Markov chain is a constant matrix, the representation of the probability distributionof the reflected process is derived. Upper and lower bounds of the probability distributionare also obtained by means of asymptotic e     

Improved fuzzy identification method based on Hough transformation and fuzzy clustering

This paper presents an approach that is useful for the identification of a fuzzy model in SISO system. The initial values of cluster centers are identified by the Hough transformation, which considers the linearity and continuity of given input-output data, respectively. For the premise parts parameters identification, we use fuzzy-C-means clustering method. The consequent parameters are identified based on recursive least square. This method not only makes approximation more accurate, but also let computation be simpler and the procedure is realized more easily. Finally, it is shown that this method is useful for the identification of a fuzzy model by simulation.     

Image Retrieval Based on Objects＇ Spatial Orientation Relationships

A new concept of characteristic scanning radial (CSR) is proposed for the segmented image on the basis of two shape-speciiic points oi its shape-objects. Subsequently, two characteristic attribute sequences (CAS) of relative distance and relative direction are derived to represent the spatial orientation relationships among objects of the image. A novel image retrieval algorithm is presented using these two CASs. The proposed retrieval approach not only satisfies the transformational invariance, but also attains the quantitative comparison of matching. Experiments identify the effectiveness and efficiency of the algorithm adequately.     

由三个已知点画椭圆问题的研究及其应用

利用仿射变换的原理，求出了由三个已知点确定的椭圆方程式，进而求出了该椭圆的主半径，达到了用AutoCAD命令画出椭圆的目的。该方法可用于圆的轴测图的绘制以及过已知点设计椭圆形运动轨道等问题。