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。     

多胞型不确定时变时滞系统的H_∞滤波性能分析

对多胞型不确定时变时滞系统的H∞滤波性能进行分析,在此系统中,通过构造Lyapunov-Kra-sovkii函数,利用Schur补性质,得到基于线性矩阵不等式表示的H∞滤波器的设计方法,使得滤波误差动态系统是渐近稳定的并满足给定的H∞性能要求。从而将多胞型不确定时变时滞系统的H∞滤波器存在的充分条件归结为一个具有线性矩阵不等式约束的凸优化求解问题。     

带p-Laplace算子的偏微分方程的Hartman-Wintner型定理

利用Riccati技术讨论了一类带p-Laplace算子的偏微分方程解的振动性质,得到了此类方程的Hartman-Wintner型振动定理.     

Bernoulli分布中参数p的近似置信区间及应用

给出了Bernoulli分布中未知参数的4种不同形式的近似置信区间,包括基于Hoeffding不等式和Bernstein不等式两种新的置信区间,并通过模拟比较了置信区间在大样本和小样本情形下的优劣.     

一类奇异半线性椭圆型方程的Dirichlet问题

本文研究了如下方程解的存在性{-Δu-uu/|x2|=λ|u|q-1+f(x,u),x∈Ω;u=0,x∈Ω.其中ΩRN(N≥3)是包含原点的有界区域,λ>0,2相似文献