中国古代数学家李冶数学文化及教育思想研究

李冶是中国数学史上宋元四大名家之一,他不仅是一位杰出的数学家,而且也是一名著名的教育家。他先进的数学文化及教育思想对现代高校数学教育仍然具有很强的指导和借鉴意义。本文主要从李冶辉煌的数学成就、先进的数学文化观和认识论、先进的数学教育理念以及卓越的实践教育活动等对李冶数学文化及教育思想进行系统研讨,旨在从中得到新的教益和启发。     

Randomization tests in recursive response-adaptive randomization procedures

In a randomized clinical trial, response-adaptive randomization procedures use the information gathered, including the previous patients' responses, to allocate the next patient. In this setting, we consider randomization-based inference. We provide an algorithm to obtain exact p-values for statistical tests that compare two treatments with dichotomous responses. This algorithm can be applied to a family of response adaptive randomization procedures which share the following property: the distribution of the allocation rule depends only on the imbalance between treatments and on the imbalance between successes for treatments 1 and 2 in the previous step. This family includes some outstanding response adaptive randomization procedures. We study a randomization test to contrast the null hypothesis of equivalence of treatments and we show that this test has a similar performance to that of its parametric counterpart. Besides, we study the effect of a covariate in the inferential process. First, we obtain a parametric test, constructed assuming a logit model which relates responses to treatments and covariate levels, and we give conditions that guarantee its asymptotic normality. Finally, we show that the randomization test, which is free of model specification, performs as well as the parametric test that takes the covariate into account.     

排球规则的修改给技战术带来的变化

:1995年国际排联对规则进行重大修改 ,本文针对规则的修改进一步解析新规则给排球技战术带来的变化 ,同时提出在训练、比赛中应注意的问题及指导思想 ,以提高排球运动队整体技、战术水平 ,尽快适应今后排球比赛的要求。     

技术与社会发展关系的理性思考

理性是西方工业社会的核心文化理念之一.建立在理性主义基础之上的近代工业技术文明所带来的"病态社会"和"单项度的人"激起西方学者的激烈批评.法兰克福学派逐渐从早期对资本主义制度的批判,转向了对科学技术本身的批判并分析了人在技术统治下的异化状态.马克思主义从现实的劳动实践过程出发,揭示人的异化是资本主义技术或工业的一个必然结果.马克思主义的技术哲学观是解决技术进步与社会发展关系的重要思想武器.     

浅析当代大学生如何做好课堂笔记

课堂教学是学生获取知识和技能的主战场,学生做好课堂笔记对学习非常有益。要学生做好课堂笔记,师生必须共同努力,教师应备好课,讲好课,写好板书,做好PPT;学生应做好充分的准备,掌握记课堂笔记的技巧,用笔记搞好复习,巩固知识加强记忆。     

20世纪初美国社会现实的艺术再现——评《被背弃的老祖母》

美国现代主义小说家凯萨琳·安恩·波特的小说以其细腻的描写、娴熟的技巧和深邃的思想内涵而深受读者、评论家和作家的赞扬和推崇。她的短篇小说《被背弃的老祖母》采用象征和意识流的写作手法,反映了20世纪初美国社会现实。本文对作品中的象征手法和意识流手法进行了仔细分析。     

Doubly adaptive biased coin designs with heterogeneous responses

Doubly adaptive biased coin design (DBCD) is an important family of response-adaptive randomization procedures for clinical trials. It uses sequentially updated estimation to skew the allocation probability to favor the treatment that has performed better thus far. An important assumption for the DBCD is the homogeneity assumption for the patient responses. However, this assumption may be violated in many sequential experiments. Here we prove the robustness of the DBCD against certain time trends in patient responses. Strong consistency and asymptotic normality of the design are obtained under some widely satisfied conditions. Also, we propose a general weighted likelihood method to reduce the bias caused by the heterogeneity in the inference after a trial. Some numerical studies are also presented to illustrate the finite sample properties of DBCD.     

A meta-analysis of the pique technique of compliance

A random-effects meta-analysis was undertaken to examine the effectiveness of the pique technique of compliance-gaining. Results indicated an overall significant effect of the pique technique on increased compliance rate across 17 comparisons (r = .27). Moderator analyses showed the technique worked significantly better than controls in gaining compliance when a smaller amount was requested, when the reason for the request was included, and when the technique was used in France. In addition, the pique technique was more successful than control requests in terms of the total amount of money or time given by participants and the percentage of participants inquiring about the requests. Theoretical and practical implications for the success of pique technique are discussed for future research.     

Permuting incomplete paired data: a novel exact and asymptotic correct randomization test

Various statistical tests have been developed for testing the equality of means in matched pairs with missing values. However, most existing methods are commonly based on certain distributional assumptions such as normality, 0-symmetry or homoscedasticity of the data. The aim of this paper is to develop a statistical test that is robust against deviations from such assumptions and also leads to valid inference in case of heteroscedasticity or skewed distributions. This is achieved by applying a clever randomization approach to handle missing data. The resulting test procedure is not only shown to be asymptotically correct but is also finitely exact if the distribution of the data is invariant with respect to the considered randomization group. Its small sample performance is further studied in an extensive simulation study and compared to existing methods. Finally, an illustrative data example is analysed.     

A closer look at de-aliasing effects using an efficient foldover technique

Foldover techniques are used to reduce the confounding when some important effects (usually lower order effects) cannot be estimated independently. This article develops an efficient foldover mechanism for symmetric or asymmetric designs, whether regular or nonregular. In this paper, we take the uniformity criteria (UC) as the optimality measures to construct the optimal combined designs (initial design plus its corresponding foldover design) which have better capability of estimating lower order effects. The relationship between any initial design and its combined design is studied. A comparison study between the combined designs via different UC is provided. Equivalence between any combined design and its complementary combined design is investigated, which is a very useful constraint that reduce the search space. Using our results as benchmarks, we can implement a powerful algorithm for constructing optimal combined designs. Our work covers as well as gives results better than recent works of about 20 articles in the last few years as special cases. So this article is a good reference for constructing effective designs.