不连续点

First, a gradient detecter is used for detecting all localintensity discontinuous points as candidate edge points. Then,all thesecandidate edge points are classified into three kinds of point setsaccording to some classifying rules.

首先，利用梯度检测算子检测出灰度不连续象点作为候选边缘点，其次，按文中提出的若干分类规则，将这些候选点分为三类。

Simple step function, discontinuous function characterized by continuous segments between points of discontinuity and continuous function, and multi--type of components in a redundancy subsystem considered, a mixed integer nonlinear planning model for redundancy and reliability optimization was presented.

考虑子系统中冗余组件的多样性以及可靠性-成本之间可能的三种函数关系，即简单的阶跃函数、连续函数以及分段连续而在分段点不连续的非连续函数，建立了可靠性冗余优化的混合整数非线性规划数学模型，并以实例进行了说明。

Although some results on convex and concave iterative roots are known, there are no results about convexity for more general iterative equations. In this chapter, convexity of both increasing solutions and decreasing solutions is investigated by the divided difference theory and fixed point theory.

本章在连续函数构成的紧凸集上构造一个连续自映射算子，利用均差理论和不动点理论证明了线性型迭代方程的凹凸解的存在唯一性及连续依赖性。

The whole process is discontinous and can be thought of as finding the grid points on a specified region of the X-Y plane (Think of marking all integer interception points on a paper). Convert each grid point's X and Y coordinate to exponential values (like 2^x, 2^y) then we can use them as value of cost and gamme for cross validation.

这个过程是不连续的成长，所以可以想成我们在一个 X-Y 平面上指定的范围内找一群格子点(grid，如果你不太明白，想成方格纸或我们把平面上所有整数交点都打个点，就是那样)，每个格子点的 X 跟 Y 经过换算(如 2^x， 2^y)就拿去当 cost 跟 gamma 的值来 cross validation。

The whole process is discontinous and can be imagined as finding grid points on a specified region of X-Y plane (Think of marking all interger interception points on a paper). Convert each grid point's X and Y coordinate to expontntial values (like 2^x, 2^y) then we can use them as value of cost and gamme for cross validation.

这个过程是不连续的成长，所以可以想成我们在一个 X-Y 平面上指定的范围内找一群格子点(grid，如果你不太明白，想成方格纸或我们把平面上所有整数交点都打个点，就是那样)，每个格子点的 X 跟 Y 经过换算(如 2^x， 2^y)就拿去当 cost 跟 gamma 的值来 cross validation。

In the framework of Filippov solutions and on the basis of Lipschitz continuous and regular scalar Lyapunov functions, this dissertation discusses the stability problems of nonlinear systems with discontinuous right-hand sides with respect to a given point or a closed invariant set, and have some related results.

本论文在Filippov解的意义下，基于Lipschitz连续且正则的标量Lyapunov函数，讨论了右端不连续的非线性系统相对一个给定的点或相对于闭不变集的稳定性问题。

At first, the existence of extended form of approach to continuous selection for any set valued mapping without any continuity restriction in para-compact metric space is proved ;by the topologically separated mappings , the approximate selection theorem of sub-lower-semi-continuous mapping is established, furthermore , continuous selection problem in H-space is studied. Next, with W-correspondence, an improved variational inequality is obtained ; by the H-KKM mapping ,Ky Fan\'s minimax inequality is generalized to H-space . At last, with H-convexity instead of the linear topological structure, a new version of Browder fixed point theorem is established.Chapter 3 deals with set-valued mapping vector variational inequality and minimax problems.

第二章首先在仿紧的度量空间上对任意的集值映射建立了新的逼近连续选择定理，利用映射的拓扑可分性，在H-空间上建立了次下半连续映射的逼近连续选择定理和一个新的连续选择定理；然后利用W-对应，在H-空间上建立了广义的变分不等式；利用H-KKM映射，在H-空间上建立了广义的KyFan极小极大不等式；最后，利用H-凸性代替拓扑线性结构，在H-空间上建立了一个新型的Browder不动点定理。

Oilcan is a kind of typical rigid target with big backscattering coefficient, which takes on point figure if the resolution of SAR image is not very high; these point targets to be recognized gather together, and form a target region with some distribution area; the center of the region appears as a beeline, and the speckle noise appears scattered, therefore, considering the different grey distributions between point target and speckle noise region and the space geometry distribution, these point targets can be recognized by this algorithm.

由于在高分辨率情况下，合成孔径雷达图像中油罐个体的散射分别体现为由若干高亮度点围成的椭圆，待识别油罐目标的模糊边缘呈不连续的椭圆状，因此从二值化后的SAR图像中识别出拟目标的不连续边缘，判断其是否满足目标边缘特性来识别出最终结果，采用该方法解决了这类高分辨率下椭圆状目标的识别问题。本文运用了基于Gauss核函数支持向量机的SAR图像典型目标识别方法。

In Chapter 2, we recapitulate some fundamental definitions and propositions of topological degrees and some fundamental results about the computation of topological degrees;in Chapter 3, applying relative definitions and propositions of topological degrees, we establish product formulae of topological degrees in product space, in particular, the product formula of fixed point index on product cone, moreover, combining with the fundamental propositions and the computation of fixed point index, we obtain some fixed point theorems on product cone.

为此，在第二章中，我们给出了拓扑度的基本概念和性质以及拓扑度计算方面的基本结果；在第三章中，运用拓扑度的有关知识，我们建立了乘积空间中各类映射的拓扑度的乘积公式，特别是乘积锥上的紧连续映射的不动点指数的乘积公式，进一步，结合不动点指数的基本性质和不动点指数计算方面的基本结果，得到了乘积锥上的若干不动点定理。

Digital image process technique is used in pantographic faults monitoring, and a new algorithm named window-edge tracking is proposed in this paper. Based on the binary image of edges which is detected by Canny operator, a window in proper size is set to track the discontinuous edges to estimate the position of the lost edges. With this method continuous edges will be obtained, and continuous and smooth edges will be got after least-squares curve-fitting.

中文摘要：将数字图像处理技术应用于受电弓故障监测，提出一种新型的窗口边缘跟踪算法，在采用Canny算子计算出边缘二值图的基础上，设置适当大小的窗口对初始不连续边缘进行遍历，估计断点处边缘点位置获得连续边缘，并采用最小二乘法拟和出连续平滑的曲线函数。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。