线性代数教学方法探讨

从理论与实践等方面探讨线性代数课堂教学的理念与方法.从启发学生正确理解和应用概念,激发学生学习兴趣出发,达到增强学生的计算与论证能力.最终培养出学生具有较强的抽象思维和逻辑推理能力.     

格雷马斯符号矩阵学视域下的《菉竹山房》

《菉竹山房》是现代著名作家、学者吴组缃创作于1932年的“最富诗味的小说”,小说成功地塑造了二姑姑这一典型的、内涵极为丰富的人物形象.通过运用格雷马斯的符号矩阵理论对文本进行分析,我们不难看出,将二姑姑这一活生生的人,最终变成“鬼”的因素有三个方面：畸形的婚姻制度、扭曲的道德评价尺度和吃人的宗法礼教观念.小说通过对二姑姑人生悲剧的娓娓叙述,将批判的锋芒直指封建社会的顽疾,启示当今的女性,要认识封建制度的罪恶,勇敢地争取自己的生存权利和人格价值尊严.     

关于23S1 介子九重态中的同位旋二重态

利用质量矩阵模型,得出MK＊（23S1）=1578～1583MeV．算出的结果与实验上测得K＊（1410）的质量1414±15MeV相差近160MeV．按照目前的结果,本文认为把K＊（1410）安排为23S,九重态中的同位旋二重态具有一定的不确定性,还有待理论和实验上进一步研究．     

Rape culture and social media: young critics and a feminist counterpublic

Social media sites, according to Carrie A. Rentschler, can become both “aggregators of online misogyny” as well as key spaces for feminist education and activism. They are spaces where “rape culture,” in particular, is both performed and resisted, and where a feminist counterpublic can be formed (Michael Salter 2013 Salter, Michael. 2013. “Justice and Revenge in Online Counter-Publics: Emerging Responses to Sexual Violence in the Age of Social Media.” Crime, Media, Culture: An International Journal 9 (3): 225–242.[Crossref], [Web of Science ®] , [Google Scholar]). In this New Zealand study, we interviewed seventeen young people who were critical of rape culture about their exposure and responses to it on social media and beyond. Participants described a “matrix of sexism” in which elements of rape culture formed a taken-for-granted backdrop to their everyday lives. They readily discussed examples they had witnessed, including victim-blaming, “slut-shaming,” rape jokes, the celebration of male sexual conquest, and demeaning sexualized representations of women. While participants described this material as distressing, they also described how online spaces offered inspiration, education, and solidarity that legitimated their discomfort with rape culture. Social media provided safe spaces that served as a buffer against the negative effects of sexism, and allowed participation in a feminist counterpublic that directly contests rape culture.     

A discrete probabilistic model for analyzing pairwise comparison matrices

The pairwise comparison matrix is often used for the estimation of the priorities in the analytic hierarchy process. In this paper, we propose an estimation method based on the discrete probabilistic expression of each choice. Moreover, we show numerical examples to compare our method with commonly used ones. As a result, it is shown that, using a robust divergence measure for the estimation, the proposed method can extract the priorities more stably even if some outlying observations are included.     

Inference on constant stress accelerated life tests for log-location-scale lifetime distributions with type-I hybrid censoring

In this paper, we consider a constant stress accelerated life test terminated by a hybrid Type-I censoring at the first stress level. The model is based on a general log-location-scale lifetime distribution with mean life being a linear function of stress and with constant scale. We obtain the maximum likelihood estimators (MLE) and the approximate maximum likelihood estimators (AMLE) of the model parameters. Approximate confidence intervals, likelihood ratio tests and two bootstrap methods are used to construct confidence intervals for the unknown parameters of the Weibull and lognormal distributions using the MLEs. Finally, a simulation study and two illustrative examples are provided to demonstrate the performance of the developed inferential methods.     

On the best linear unbiased estimator and the linear sufficiency of a general growth curve model

Growth curve models are used to analyze repeated measures data (longitudinal data), which are functions of time. In this paper, some necessary and sufficient conditions for linear function B₁YB₂ to be the best linear unbiased estimator (BLUE) of estimable functions X₁ΘX₂ (or K₁ΘK₂) under the general growth curve model were established. In addition, the representations of BLUE(K₁ΘK₂) (or BLUE(X₁ΘX₂)) were derived when the conditions are satisfied. Two special notions of linear sufficiency with respect to the general growth curve model are given in the end. The findings of this paper enrich some known results in the literature.     

Expectations of the maximum of sums and the sum of maxima for correlated normal variables

This paper compares expectations of the maximum of sums and the sum of maxima for correlated normal variables. General formulas are given for the expected differences and relative expected differences. Numerical values are computed for the special case of a correlated structure with common variance and covariance to illustrate the general magnitude of the differences which may occur. It is numerically shown that an approximation to the relative differences based on the extreme value distribution is very good. General correlated models with location-scale parameters are also considered. This result should be useful in application. Examples are discussed.     

On biased linear estimators in models with arbitrary rank

In this paper we define a class of biased linear estimators for the unknown parameters in linear models with arbitrary rank. The feature of our approach is to reduce the estimation problem in arbitrary rank models to the one in full-rank models. Some important properties are discussed. As special cases of our class, we extend to deficient-rank models six known biased linear estimators.     

Über das asymptotische verhalten von bayesschen und maximum-likelihood-schätzungen

The paper deals with the asymptotic equivalence of the maximum-likelihood-estimator with sums of independent and identically distributed random variables for a family of distribution functions, the density of which may vanish depending on the parameter. Further the asymptotic equivalence of the maximum-likelihood-estimator with BAYES estimators is shown.