A Closer Look at a Relatively Neglected Mean

The self‐weighted mean (WS) – in which each value is weighted by itself – is presented in several contexts and illustrated. It is incorporated in a set of more familiar means. Intuitions concerning WS are explored.     

关于微分中值定理的进一步探讨

本文从多个角度对微分中值定理加以证明,揭示其几何物理意义,且给出一些推广和应用。     

社会养老保险个人账户改革影响下的性别利益差距分析——基于退休年龄和平均预期寿命视角

本文在介绍了我国社会养老保险个人帐户改革、“老化”的退休政策和持续攀升的平均预期寿命等相关背景的基础上,计算退休年龄与个人帐户金额之间的定量关系,以及个人帐户用完以后,个人从社会统筹基金领取金额的性别差距。通过计算发现,女性早退休使得个人帐户终身交纳金额、个人终身领取的个人帐户养老金总额和个人帐户养老金月领取金额都少于男性;男性60岁退休社会统筹基金支付的养老金数量少于女性55岁退休而多于女性50岁退休。     

基于信号分析的椒盐噪声滤波算法

椒盐噪声对图像造成或亮或暗的像素点,从视觉上影响图像的质量。采用基于信号分析的方法去除图像中的椒盐噪声,信号分析能准确判断出噪声与信号像素,该方法依据椒盐噪声模型准确区分信号与噪声,对信号像素给予保留,而对于噪声像素则有针对性地对其作中值滤波、扩大的中值滤波或均值滤波。实验结果表明,与线性加权、梯度倒数加权以及小波去噪算法相比,文中算法能有效降低图像中的椒盐噪声,对图像的边缘与细节保持较好,并且能得到较高的信噪比。     

半区间上Dedekind和的均值

作为特征和估计的应用,利用DirichletL-函数均值定理及特征和的性质研究了Dedekind和的均值估计,并给出了一个较为精确的渐近公式．为研究这一类和式的均值性质提供了一种新的思路,并且该估计式的条件也更宽泛．     

Immunological effects of a 10-μg dose of domestic hepatitis B vaccine in adults

Objective: To evaluate the immunological effects of three types of domestic 10-μg/dose hepatitis B vaccines in adults compared with a foreign vaccine, and to provide scientific evidence in support of adult hepatitis B vaccination. Methods: Adults from five counties (Deqing, Changxing, Nanxun, Wuxing, Anji) in Huzhou City, Shaoxing County and Tongxiang County, Zhejiang Province, China were selected. Blood samples were taken to assess serum HBsAg, anti-HBs, and anti-HBc using a chemiluminescence immunoassay. Adults, aged 16 to 49 years and who were anti-HBs negative at baseline, received hepatitis B immunizations at 0, 1, and 6 months. Anti-HBs levels were assessed one month after the third and final vaccination. Results: A total of 1 872 adults were immunized and the average positive rate was 89.5%. Four types of hepatitis B vaccine were used, including three from Chinese companies (Shenzhen Kangtai, Dalian High-Tech, and North China Pharmaceutical) and one from a UK company (GlaxoSmithKline). Their seroconversion rates were 81.67%, 95.05%, 89.64%, and 86.81%, respectively. There was a significant difference between the anti-HBs positive conversion rates of the four types (P<0.005) but the seroconversion rates among the different vaccines were not significantly different (χ ²=2.123, P=0.145). The average anti-HBs geometric mean titers (GMTs) of non-immune adults immunized with each of the four vaccines were 177.28, 473.23, 246.13, and 332.20 mIU/ml, respectively. There were no statistically significant differences in the GMTs between the three types of domestic vaccine and the foreign vaccine (t=−1.575, P=0.116). Conclusions: Domestic recombinant hepatitis B vaccines can achieve immunization effects comparable to those of a foreign vaccine.     

一种改进的Richardson-Lucy正则化图像复原算法

运动模糊图像复原是模糊图像复原领域中的重要课题。首先,利用一种新的正则化方法有效估计了非参数运动模糊核。然后,在贝叶斯框架下,基于图像像素空间和梯度空间的统计特性,结合自然图像的梯度约束,提出了图像复原的改进RL正则化算法,有效抑制了复原图像中存在的振铃效应。实验结果表明,RL正则化算法在模糊核的估计存在误差时,依然能够得到较好的图像复原效果。     

曲线积分第二中值定理“中间点”渐近性分析

通过研究第一型曲线积分第二中值定理"中间点"的渐近性,将结论推广到积分第二中值定理"中间点"的渐近性。首先给出第一型曲线积分第二中值定理及其证明,得出一个结论,由这个结论推导出定积分第二中值定理相应的结果。所得结论推广了文献[1-3]中关于积分第二中值定理的结论。     

二元均值定理的高等证法

用微积分、线性代数、概率论等高等数学知识证明了二元均值定理,其证法的多样性引起了广泛的兴趣和讨论。     

平均差的算法改型及其数学性质研究

标准差在反映标志变异程度上存在着准确性低、误差大的致命性缺陷,并且缺乏解构性功能。从平均差的传统计量公式出发推导出具有精准性和解构性兼备的新的计量模型,阐述和证明平均差所具有的10条数学性质。它所涵盖和反映的信息量大大超越标准差,应用范围更广泛。提出新的离散系数计量模型,并运用负数转正取值的最近邻性和分母、分子对称位移性原理,有效地解决了均值F为负数和零值条件下的离散系数计量难题。