Rényi entropy of m-generalized order statistics

Abstract

Characterizing relations via Rényi entropy of m-generalized order statistics are considered along with examples and related stochastic orderings. Previous results for common order statistics are included.     

论数学教育中的数学观念体系

本文从培养数学观念的角度，就数学教育如何培养人们的科学思维方式和形成良好的思维习惯作一论述。     

LENGTH-BIASING, CHARACTERIZATIONS OF LAWS AND THE MOMENT PROBLEM

A positive random variable X with a finite mean has an induced length-biased law represented by Y, and Y is stochastically larger than X. An independent uniform random contraction of Y, UY, has the same law as X if and only if the latter is exponential. This property is extended to non-uniform contractions and a more general notion of length-biasing. The distributional equality of X and W leads to a functional equation for the moment function of X, which has either Infinitely many solutions or none. When U is constant, X can have a log-normal law, but it can also have laws with the same moment sequence as this log-nod law. The case where U has a certain beta, or generalized beta, law give t3 characterizations of generalized gamma laws, or to products of independent copies of them. This occurs even when these laws are not determined by their moment sequences.     

局部Haar条件下的变形非线性L逼近

本文讨论了局部Ｈａａｒ条件下变形的非线性Ｌ逼近，得到了包括交错定理在内的特征定理、唯一性和强唯一性定理。     

数学素质培养

文章从素质教育的要求出发,结合数学教学实践,着重阐述了数学素质的内涵及其特征,并就如何培养学生数学素质的初步探讨.     

大学数学教学改革的探索与思考

文章分析了当前大学数学课程教学中存在的一些问题,结合教学实际,对大学数学教学改革的目标定位进行了探讨,总结了我校数学教学工作在教学观念、教学方法、教学模式、教学内容及教材建设等方面的一些改革措施与效果。     

中国传统文化中的"尚三"理念对巴金《家·春·秋》创作的影响

巴金自称是受外国文学影响最多的作家之一,但是中国传统文化对他的创作在无形中的影响恐怕连他自己都没有意识到,在巴金的小说尤其是在长篇小说《家.春.秋》创作中就处处可见"尚三"传统的影响,形成了几种独特的创作现象:三事话语,三复情节,三变情节,三极建构,三而后成,传统文化与外来文化的相互渗透融合,是巴金能够成为文学大师的文化基础。     

关于学报发展中几个问题的思考

在互联网日益普及的情况下，高校学报不应等待观望，而应尽快转变认识，充分利用网络资源进行新的尝试，为自身的发展服务。高校学报要走的个性化特色化之路，通过对可资形成特色的各种条件进行创造性整合，形成刊物的个性与特色。注重提高刊物的学术影响力，提高所刊论文的引用率与引文率，在增强社会效益上做文章。同时，也要重视编排的标准化、规范化等工作，以期使学报的生存与发展进入良性循环。     

一类混合指数型算子的一致逼近

主要讨论了一类混合指数型算子的一致逼近问题，并给出了逼近阶的估计和特征刻划。     

Estimation of Metabolic Rate Constants in PBPK‐Models from Liver Slice Experiments: What Are the Experimental Needs?

A mechanistic model is presented describing the clearance of a compound in a precision-cut liver slice that is incubated in a culture medium. The problem of estimating metabolic rate constants in PBPK models from liver slice experiments is discussed using identifiability analysis. From the identifiability problem analysis, it appears that in addition to the clearance, the compound's free fraction in the slice and the diffusion rate of the exchange of the compound between culture medium and liver slice should be identified. In addition, knowledge of the culture medium volume, the slice volume, the compound's free fraction, and octanol-water-based partition between medium and slice is presupposed. The formal solution for identification is discussed from the perspective of experimental practice. A formally necessary condition for identification is the sampling of parent compound in liver slice or culture medium. However, due to experimental limitations and errors, sampling the parent compound in the slice together with additional sampling of metabolite pooled from the medium and the slice is required for identification in practice. Moreover, it appears that identification results are unreliable when the value of the intrinsic clearance exceeds the value of the diffusion coefficient, a condition to be verified a posteriori.