一种加快的CV模型分割方法研究

CV模型是一种有效的活动轮廓分割模型,其缺点是分割速度慢.用OTSU法预处理后的区域边界作为CV模型的初始轮廓线,大大提高了分割速度,且该方法能克服传统CV法难以分割壁较厚的内部空洞的不足.在CV模型的能量函数中引入惩罚项,使得CV模型在演化过程中无需重新初始化,进一步提高了分割速度.实验表明改进后的CV模型与传统CV模型相比分割速度有了较大提高,且分割效果更好.     

不等长双缝夫琅禾费衍射光强分布

根据夫琅禾费衍射与傅立叶变换的关系,数值计算了由宽度相同而长度不同双缝组成衍射平面的夫琅禾费衍射光强分布,结果表明双缝长度之比是影响干涉条纹的可见度的主要因素。     

参量化的Hilbert型积分不等式

通过应用权函数方法和实分析技巧,给出一个推广的具有最佳常数因子的Hilbert型积分不等式.作为应用,考虑了它的等价形式及一些特殊结果.     

具有输入饱和的非线性广义时滞系统的H∞控制

研究一类具有输入饱和的非线性广义时滞系统的H∞控制问题.使用线性矩阵不等式方法和Lyapunov稳定性理论给出该系统具有H∞范数约束γ的充分条件,并给出一种H∞控制器的设计方法.运用一个数值算例来说明本文方法的有效性.     

双曲度量下导数的Schwarz-Pick不等式

利用双曲度量下的Schwarz-Pick不等式,得到了关于双曲度量下导数的Schwarz-Pick不等式,并给出了证明.     

〈l,t〉几何凸函数及应用研究

定义了一类新的几何凸函数：〈l,t〉几何凸函数,它们是通常的几何凸函数的更一般形式.同时建立了有关〈l,t〉几何凸函数一系列新的不等式,它们是通常的几何凸函数中某些著名不等式的推广,最后是〈l,t〉几何凸函数的运用.     

三角不等式原理对聚类算法的改进

聚类分析是数据挖掘中的一个重要研究领域,面对大规模的、高维的数据,如何建立有效的聚类算法是目前一个研究热点。现已有多种直接和快速的聚类算法,但是当处理海量数据时,时间效率仍然有待提高。本文应用三角不等式原理,分别对TTSAS算法和k-means算法提出改进,避免其中冗余的距离计算,提高原算法效率。     

一个初等不等式的推广

文章对初等不等式：n进行推广，并给出了初等证明。     

Bringing the State Back In: restoring the role of the State in Chinese higher education

In the last few decades, in the wake of three major crises in political faith and the overall instability that followed the end of the Cultural Revolution, the post-Mao Chinese government has sought to improve the lives of its citizens and to restore political legitimacy through rapid economic growth that has focused almost exclusively on GDP. This strong focus has brought about rapid, widespread economic growth to China, and has, by classical market standards, been a success. At the same time, issues of social development and human well-being have received less attention. Before the Hu-Wen leadership's formal accession to power, the Jiang-Zhu administration sought to adopt neo-liberal ideas and practices to reform the delivery of social services and the implementation and funding of social policy. In this context, major fields of social policy such as health, education, and housing have been going through the processes of marketisation and privatisation, which have placed much of the financial burden of meeting these social welfare needs on China's citizens. After several decades of privatisation and marketisation in the educational system, the Chinese government has been the subject of repeated criticism for failing to tackle what is popularly known as the ‘new three mountains phenomenon’, namely, the rising cost of health, education, and housing in recent years. Against the wider policy context described above, this article examines the social and political consequences of the privatisation and marketisation of education. It also discusses the major policies and strategies recently adopted by the Chinese government to restore the role of the State in the education system in order to address the negative consequences of the privatisation of education. Finally, it critically examines the main implications of major reforms undertaken in higher education in Mainland China.     

等周不等式的微积分证明法

利用微积分中的面积和弧长计算公式,获得了等周不等式的一种较为简单的证明,同时还证明了Wirtinger不等式与等周不等式是等价的。