极值的存在

The model in this paper takes the form as belowThe main contents and results in this paper are as follows:In section 1, we state our main analytical results on equilibria of the above system. First, several sufficient conditions for coexistence of the steady-state are given by the standard fixed-point index theory in cone. Second, the global structure of the coexistence solutions and their local stability are established by using bifurcation theory. Third, the multiplicity, uniqueness and stability of positive steady-state solutions to this system are derived by means of perturbation theory of eigenvalues, standard regularity theory, Sobolev embedding theorem and fixed-point index theory.

本文主要有两章内容：第一章研究了该模型正平衡解的性质，可分为三部分：第一部分运用极值原理、上下解方法和锥映射不动点指标理论得到正平衡解存在的充分条件；第二部分利用分歧理论给出了平衡态系统正分歧解的结构，并讨论了局部分歧解的稳定性；第三部分利用特征值扰动理论、标准椭圆正则化理论、Sobolev嵌入定理及指标理论讨论了正平衡解的多重性、唯一性及稳定性，并讨论了参数对解的影响。

In chapter2 we obtain the constructure theorem and intechange theorem of 2-tournaments.wefind the correlation between the number of 3-cycles and 2-cycles in 2-tournament andits score vector,discuss a class of extreme value problem of tournament,answer partlya open problem posed by Brualdi.

第二章讨论了2-竞赛图和竞赛矩阵的一些基本问题：存在性和结构问题，证明了具有相同得分向量的任意两个2-竞赛矩阵可以通过三角形转换而互相得到，得到了2-竞赛图中2-圈与3-圈的数目与得分向量之间的关系式；讨论了2-竞赛中的一类极值问题，部分地回答了Brualdi〓的一个问题。

Based upon the logic examination, this paper supplies a new conditional extreme value model for the proposition and generally reveals the wrong guide of Gauss's intrinsic geometry in logic.

在针对经典结论进行逻辑审查的基础上，为该命题重新构造了一个属于"条件泛函极值"范畴的形式定义，并大致叙述Gauss"内蕴几何"的在形式逻辑上必然存在的导向性错误。

This approach effectively overcomes the shortcoming of the grey level intensity based detection approaches. Not only it can extract the local extremum along with the contour, but also it is robust to the noise in the range images.

该方法克服了基于强度特征的检测方法中存在的一些缺陷，能够有效得提取关键点在轮廓方向上的极值性，并对轮廓上的噪声也有很好的抑制效果。

According to the analysis of reasons of transformer mal-operation in Pingdingshan Electric Power Bureac for years , and according to the present situation of transformer protection studies and applications at home and abroad. This paper points out the shortcomings of discrimination between internal faults and magnetizing inrush, the problems existing in differentiating the slight faults of turn-to-turn in transformer are also advanced. On the base of the electromagnetic characteristics of transformer, the relations between fluxional differential current and voltage of source side analyzed, all the operating states of transformer simulated by EMTP/ATP, the criterion of magnetizing inrush in transformer is got. Through the wavelet analysis of current waveform, using the intense reaction of wavelet transform to the little change of signal, the internal faults of transformer are distinguished by testing local extremum.

本文根据平顶山市电业局历年来变压器保护误动的原因分析，并根据国内外变压器保护使用和研究的现状，指出了现有变压器保护在区分变压器励磁涌流和内部故障方面以及在判断变压器匝间轻微故障方面存在的问题和不足；从变压器电磁特性出发，分析了电源侧电压和电流微分之间的关系，利用电磁暂态仿真程序对变压器各种运行状态进行了仿真，并以此建立了判断变压器是否含有励磁涌流的判据；通过对电流波形的小波分析，利用小波变换对信号微小变化极强的反映能力，通过检测电流的局部极值点来区分变压器运行状态，并作为上述判据的补充。

Mutual information functions are often unsmooth. There are lots of local maximums, which abversely obstruct optimization algorithms.

但是，基于互信息的目标函数经常是不光滑的，存在许多局部极值，给问题的求解带来了很大的困难。

So the accuracy of structured light methods hinges on the ability to locate the "center" of the 3D information. New method presented in this paper starts by convolving a given image with masks in a selected number of directions.

但是由于物体表面形状、反射特性比较复杂，而传统的确定结构光条纹中心位置的方法极值法、门限法、重心法、高斯拟合法等都存在不足，这就使得结构光条纹中心位置的准确检测成为影响三维信息获取精度的关键问题之一。

By this, we can obtain the space information, however, because of the body sharp and reflex characters are more complicated, and the traditional way which used for detecting the center of structured light have some weakness. So the accuracy of structured light methods hinges on the ability to locate the "center" of the 3D information. New method presented in this paper starts by convolving a given image with masks in a selected number of directions.

但是由于物体表面形状、反射特性比较复杂，而传统的确定结构光条纹中心位置的方法极值法、门限法、重心法、高斯拟合法等都存在不足，这就使得结构光条纹中心位置的准确检测成为影响三维信息获取精度的关键问题之一。

Sothe accuracy of structured light methods hinges on the ability tolocate the "center" of the 3D information. New method presented inthis paper starts by convolving a given image with masks in aselected number of directions.

但是由于物体表面形状、反射特性比较复杂，而传统的确定结构光条纹中心位置的方法极值法、门限法、重心法、高斯拟合法等都存在不足，这就使得结构光条纹中心位置的准确检测成为影响三维信息获取精度的关键问题之一。

The effects of frequency veering features on mode localization of the mistuned system were analyzed with L. It is shown that the distance between the frequency veering curves at nodal diameters is a key parameter, and it exists a minimum value for the parameter, around which blade modes are very sensitive to mistuning, and can result in dramatic fluctuation of the mode localization degree.

研究表明，频率转向曲线之间关于节径的最小间隙是反映频率转向特征的重要参数，并存在一个转向频率间隙的极小值点，在该极值点附近，频率转向区内的模态对叶片失谐非常敏感，并会导致模态局部化程度剧烈变化。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。