微分形式的 Aλr3 (λ1,λ2 ;Ω)-加权的Poincaré型不等式

利用H(o)lder不等式得到了微分形式的局部 Ar (λ1,λ2 ;Ω)-加权Poincaré型不等式,所得结果能被广泛应用于某些重要方程解的高阶可积性理论.     

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。     

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   

Schwarz积分不等式在二元函数中的推广及应用

Schwarz积分不等式是一个重要的不等式,它在自然科学的理论研究以及实际应用中用途广泛.本文将Schwarz积分不等式推广到二元函数中,并给出一些应用.     

Inequality in Ethiopian higher education: reframing the problem as capability deprivation

The revitalization of Ethiopian higher education (HE) has been underway since the early 2000s. As well as the economic optimism evident in the ‘knowledge-driven poverty reduction’ discourse, social equity goals underscore the reform and expansion of the system. Notwithstanding the widening participation and the equity policy provisions put in place, the problem of inequality has persisted along the lines of ethnicity, gender, rurality and socio-economic background. This paper reviews major equity policy instruments and highlights the enduring inequalities in Ethiopian HE. It argues that this persistence is related in part to the ways in which the problem is represented in policy, and that redressing the problem necessitates framing inequality as capability deprivation rather than as issues of access and disparities in enrolment.     

Residence-based priorities and school choice

Many countries use centralized school choice procedures to assign pupils to schools. To address excess demand for a particular school, ties are broken according to priority points granted based on various criteria, such as proximity to the school. Using a unique reform undertaken in Madrid (Spain), we estimate the impact of abolishing residence-based priorities on families’ school choices, the stated motivation for choosing a school, and the final school allocation. Utilizing several administrative datasets on school applications, we find that the reform increases families’ out-of-district school assignments and assignments to schools further away from their home address. Parents of immigrant children did not change their application behavior in the first years of the reform but caught up with natives three years after its implementation. Children generally accessed slightly better-performing schools, particularly those from lower-educated backgrounds.     

一个重要的概率不等式及其应用

我们通过对随机变量X的分类和r的不同取值分别比较矩EXr和EXr-2的大小,同时指出可以利用这些结果解决其他的数学问题。     

Gender and research publishing in India: Uniformly high inequality?

Women’s access to academic careers has been historically limited by discrimination and cultural constraints. Comprehensive information about gender inequality within disciplines is needed to understand the problem and target remedial action. India is the fifth largest research producer but has a low international index of gender inequality and so is an important case. This study assesses gender inequalities in Indian journal article publishing in 2017 for 186 research fields. It also seeks overall gender differences in interests across academia by comparing the terms used in 27,710 articles with an Indian male or female first author. The data show that there are at least 1.5 male first authors per female first author in each of 26 broad fields and 2.8 male first authors per female first author overall. Compared to the USA, India has a much lower share of female first authors but smaller variations in gender differences between broad fields. Dentistry, Economics and Maths are all more female in India, but Veterinary is much less female than in the USA. There is a tendency for males to research thing-oriented topics and for females to research helping people and some life science topics. More initiatives to promote gender equality in science are needed to address the overall imbalance, but care should be taken to avoid creating the larger between-field gender differences found in the USA.