奇异

A new concept on the continuously distributed directional image/field and the method to compute it in the fingerprint images are proposed,which exhibits not only good continuity,well gradualness,and excellent robustness to the noises,but very high precision,as well.

本文提出了指纹连续分布方向图的概念及其算法，连续分布方向图具有很好的连续性、渐变性、抗噪性和较高的精确度；对经典的PoincaréIndex计算公式和指纹奇异点检测算法进行了改进，改进后的PoincaréIndex不仅能精确表示向量场的旋转角度，而且还能精确表示向量场的旋转方向，能够在像素级水平精确定位指纹奇异点(core点和delta点)。

Using the directional field information,Poincare index can detect the discontinuous point in the directional field——singularities.According to the number of singularities,their position and structural character of fingerprint's ridge lines,the basic category of fingerprint is classified.

利用指纹图像的方向场信息，用Poincare索引值检测出方向场中不连续的点——奇异点，根据奇异点的数目和相互位置关系以及指纹脊线的结构特征确定指纹的基本类型。

The connection between two different approaches to singular H∞ control problems based on geometric control theory and-lossless factorization theory respectively is established. This paper illustrates the eigenspace structure of singular H∞ control systems.

文中建立了基于几何控制理论和基于J-无损分解理论的两种不同的奇异H∞控制分析方法之间的联系，并揭示了具有无穷远零点的奇异 H∞控制系统的特征空间结构。

Because of the presence of the difference of the gray value and the distortion between the object image and the reference image, traditional matching method will be degraded. We need more useful characters. Eigenspace approach is a promising candidate for an appearance-based object representation.

文中提出基于奇异值分解的跟踪算法，算法首先建立模板图像训练集合，利用奇异值分解方法，张成模板图像特征空间，然后求出模板图像在特征空间里的投影值，代替传统算法中灰度对两幅待匹配图像进行的全局搜索定位。

The ellipsoidal coordinates and the square root characteristics of the displacement jumps across the crack surface are cleverly used in the hypersingular integral equations for an arbitrary planar crack embedded into the infinite three dimensional homogeneous elastic solid.

对无限大三维均质弹性体中任意平片裂纹的超奇异积分方程，巧妙地引入椭球坐标系和利用裂纹表面位移间断具有平方根的特性，获得了受任意方向均布内压力作用下椭圆平片裂纹问题的超奇异积分方程的解析解。

Using the method of blow up lower and upper solutions, the existence and boundary behavior of positive boundary blow up solutions for some elliptic systems of competitive type with singular weight functions are obtained, here the singular weight functions are permitted to be bounded in some parts of the boundary, and to go to infinity or even oscillate in other parts.

利用爆破上、下解方法，本文建立了带奇异权函数的竞争型椭圆方程组正的边界爆破解的存在性和边界行为，这里奇异权函数可以在边界的某一部分有界，而在其他的部分趋于无穷或者震荡。

In chapter 3,we study the Zakharov-Kuznetsov-Modified Equal-Width equation by employing the extended Jacobi elliptic function expansion method and obtain some new solutions of Jacobi elliptic function type of the ZK-MEW equation.;Secondly,using sn-cn method,we study K(m,n,1) equation and obtained some new exact solutions when k=s=3,especially obtained abundand solitary solutions and trigonometric function solutions when m→0 and m→1;In chapter 4,Painleve singular analysis was applied to nonlinear PDE with variable coefficients.

第四章将Painleve奇性分析方法应用到带阻尼项的变系数Burgers方程中，并得到了该类Burgers方程具有Painleve性质的条件，给出了该类Burgers方程的Backlund变换，用所得Backlund变换得到了若干精确孤立波解，包括奇异孤立波解，这些解不等同于行波型孤立波解；用齐次平衡法得到了对数型DBM方程的Backlund变换，并获得了DBM方程的各种孤立波解，包括尖峰孤立波解和奇异尖峰孤立波解。

This paper provides the analytic method to calculate the value of Green s functions in space domain at the zero distance by the discrete complex image theory,that is ,to express the finite progressional sum of Green.

对此，本文在讨论采用离散复镜象理论计算空间域Green函数时，提出了采用该镜象理论计算空间域Green函数零距离处奇异值的解析方法，即，采用Taylor公式展开镜象理论得到的空间域Green函数的有限级数和形式，并结合特定的分域基函数来得到零距离处Green函数奇异值的解析计算式进行计算。

This paper provides the analytic method to calculate the value of Green"s functions in space domain at the zero distance by the discrete complex image theory,that is ,to express the finite progressional sum of Green"s functions detained with DCIT into Taylor expansion and deduce the analytic expression of the singularities at the zero distance with the help of the specific subdomain base functions.

对此，本文在讨论采用离散复镜象理论计算空间域Green函数时，提出了采用该镜象理论计算空间域Green函数零距离处奇异值的解析方法，即，采用Taylor公式展开镜象理论得到的空间域Green函数的有限级数和形式，并结合特定的分域基函数来得到零距离处Green函数奇异值的解析计算式进行计算。

In this paper,We use the singular perturbation theory and method to study the two types of singular perturbation problems with fractional derivative.

本文应用奇异摄动理论和方法研究了含有分数阶导数的两类奇异摄动问题。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。