In Advances in Pure Mathematics (www.scirp.org/journal/apm), Vol. 1, No. 4 (July 2011), pp. 136-154, the mathematical structure of the much discussed problem of probability known as the Monty Hall problem was mapped i...In Advances in Pure Mathematics (www.scirp.org/journal/apm), Vol. 1, No. 4 (July 2011), pp. 136-154, the mathematical structure of the much discussed problem of probability known as the Monty Hall problem was mapped in detail. It is styled here as Monty Hall 1.0. The proposed analysis was then generalized to related cases involving any number of doors (d), cars (c), and opened doors (o) (Monty Hall 2.0) and 1 specific case involving more than 1 picked door (p) (Monty Hall 3.0). In cognitive terms, this analysis was interpreted in function of the presumed digital nature of rational thought and language. In the present paper, Monty Hall 1.0 and 2.0 are briefly reviewed (§§2-3). Additional generalizations of the problem are then presented in §§4-7. They concern expansions of the problem to the following items: (1) to any number of picked doors, with p denoting the number of doors initially picked and q the number of doors picked when switching doors after doors have been opened to reveal goats (Monty Hall 3.0;see §4);(3) to the precise conditions under which one’s chances increase or decrease in instances of Monty Hall 3.0 (Monty Hall 3.2;see §6);and (4) to any number of switches of doors (s) (Monty Hall 4.0;see §7). The afore-mentioned article in APM, Vol. 1, No. 4 may serve as a useful introduction to the analysis of the higher variations of the Monty Hall problem offered in the present article. The body of the article is by Leo Depuydt. An appendix by Richard D. Gill (see §8) provides additional context by building a bridge to modern probability theory in its conventional notation and by pointing to the benefits of certain interesting and relevant tools of computation now available on the Internet. The cognitive component of the earlier investigation is extended in §9 by reflections on the foundations of mathematics. It will be proposed, in the footsteps of George Boole, that the phenomenon of mathematics needs to be defined in empirical terms as something that happens to the brain or something that the brain does. It is generally assumed that mathematics is a property of nature or reality or whatever one may call it. There is not the slightest intention in this paper to falsify this assumption because it cannot be falsified, just as it cannot be empirically or positively proven. But there is no way that this assumption can be a factual observation. It can be no more than an altogether reasonable, yet fully secondary, inference derived mainly from the fact that mathematics appears to work, even if some may deem the fact of this match to constitute proof. On the deepest empirical level, mathematics can only be directly observed and therefore directly analyzed as an activity of the brain. The study of mathematics therefore becomes an essential part of the study of cognition and human intelligence. The reflections on mathematics as a phenomenon offered in the present article will serve as a prelude to planned articles on how to redefine the foundations of probability as one type of mathematics in cognitive fashion and on how exactly Boole’s theory of probability subsumes, supersedes, and completes classical probability theory. §§2-7 combined, on the one hand, and §9, on the other hand, are both self-sufficient units and can be read independently from one another. The ultimate design of the larger project of which this paper is part remains the increase of digitalization of the analysis of rational thought and language, that is, of (rational, not emotional) human intelligence. To reach out to other disciplines, an effort is made to describe the mathematics more explicitly than is usual.展开更多
The metaphysical poetry,as a rather influential literary school,plays a momentous andpredominant part in eariy seventeenth century English literature.The marked quality ofmetaphysical poetry,as practiced by Donne and ...The metaphysical poetry,as a rather influential literary school,plays a momentous andpredominant part in eariy seventeenth century English literature.The marked quality ofmetaphysical poetry,as practiced by Donne and his successors,is their philosophical subtlety orintellectual rigor,while the quintessence of which consists in its peculiar blend of thought andpassion of realistic violence and meditative refinements.Doctor Johnson accused the展开更多
In this note, we discuss the definition of the S1-convexity Phenomenon. We first make use of some results we have attained for?? in the past, such as those contained in [1], to refine the definition of the phenomenon....In this note, we discuss the definition of the S1-convexity Phenomenon. We first make use of some results we have attained for?? in the past, such as those contained in [1], to refine the definition of the phenomenon. We then observe that easy counter-examples to the claim extends K0 are found. Finally, we make use of one theorem from [2] and a new theorem that appears to be a supplement to that one to infer that? does not properly extend K0 in both its original and its revised version.展开更多
In this note, we analyze a few major claims about . As a consequence, we rewrite a major theorem, nullify its proof and one remark of importance, and offer a valid proof for it. The most important gift of this paper i...In this note, we analyze a few major claims about . As a consequence, we rewrite a major theorem, nullify its proof and one remark of importance, and offer a valid proof for it. The most important gift of this paper is probably the reasoning involved in all: We observe that a constant, namely t, has been changed into a variable, and we then tell why such a move could not have been made, we observe the discrepancy between the claimed domain and the actual domain of a supposed function that is created and we then explain why such a function could not, or should not, have been created, along with others.展开更多
目的通过分析运动干预老年痴呆症的研究现状与热点,以期为今后的研究提供新的思路和方向。方法检索Web of Science核心合集数据库中2019年至2023年收录的1288篇运动干预老年痴呆的相关文献,利用CiteSpace v.6.2.R4软件对文献发文量、关...目的通过分析运动干预老年痴呆症的研究现状与热点,以期为今后的研究提供新的思路和方向。方法检索Web of Science核心合集数据库中2019年至2023年收录的1288篇运动干预老年痴呆的相关文献,利用CiteSpace v.6.2.R4软件对文献发文量、关键词等进行可视化分析。结果运动干预老年痴呆症的研究热度不断上升,发文量逐年递增;主要研究机构以大学为主;发文量最多的国家是美国,中国位居第二;高频关键词为阿尔兹海默症、身体活动、运动、老年人、认知功能等;近两年突现的关键词有海马神经、载脂蛋白E等。结论运动干预老年痴呆相关研究整体发展迅速,该领域在老年痴呆的发病机制、运动干预老年痴呆认知功能的作用机制方面研究较多;运动处方的选择和利用动物模型进一步探索大脑健康的神经生理机制是目前的研究热点,未来各团队、机构之间可加强学术合作,以促进临床、基础及实验研究工作的开展。展开更多
目的:了解近10年护理硕士研究生教育领域在全球的研究热点、研究现状和发展趋势。方法:通过Web of Science检索2013年1月1日—2023年3月1日护理硕士研究生教育领域的英文文献,对收集到英文文献的年度发文量、国家发文量、作者发文量、...目的:了解近10年护理硕士研究生教育领域在全球的研究热点、研究现状和发展趋势。方法:通过Web of Science检索2013年1月1日—2023年3月1日护理硕士研究生教育领域的英文文献,对收集到英文文献的年度发文量、国家发文量、作者发文量、机构发文量、关键词聚类共现的数据进行可视化处理,分析其研究热点。CiteSpace软件用于检测关键字突现。结果:护理硕士研究生教育领域全球年度发文量呈整体逐步上升趋势;关键词共现聚类分析结果显示,研究热点主题集中在多领域服务实践、心理支持策略、跨专业教育课程、研究生教育模式。结论:近10年护理硕士研究生教育处于迅速发展阶段,护理硕士研究生模拟训练策略、临床思维能力、社会适应能力、跨学科模式等可能是未来该领域研究的热点和方向。未来发展跨学科研究生教育模式,充分发挥护理硕士研究生优势,提高其社会适应能力水平。展开更多
This paper covers the task-based approach,including its definition,types of tasks,principles and features,teacher’s role and learner’s role.The author has studied many researchers’opinions and researches,and then p...This paper covers the task-based approach,including its definition,types of tasks,principles and features,teacher’s role and learner’s role.The author has studied many researchers’opinions and researches,and then puts forward her own ideas on task-based approach.The paper contributes to the improvement of the college English teaching,and the author would like to share her opinion with others in pedagogical studies of teaching college students English.展开更多
文摘In Advances in Pure Mathematics (www.scirp.org/journal/apm), Vol. 1, No. 4 (July 2011), pp. 136-154, the mathematical structure of the much discussed problem of probability known as the Monty Hall problem was mapped in detail. It is styled here as Monty Hall 1.0. The proposed analysis was then generalized to related cases involving any number of doors (d), cars (c), and opened doors (o) (Monty Hall 2.0) and 1 specific case involving more than 1 picked door (p) (Monty Hall 3.0). In cognitive terms, this analysis was interpreted in function of the presumed digital nature of rational thought and language. In the present paper, Monty Hall 1.0 and 2.0 are briefly reviewed (§§2-3). Additional generalizations of the problem are then presented in §§4-7. They concern expansions of the problem to the following items: (1) to any number of picked doors, with p denoting the number of doors initially picked and q the number of doors picked when switching doors after doors have been opened to reveal goats (Monty Hall 3.0;see §4);(3) to the precise conditions under which one’s chances increase or decrease in instances of Monty Hall 3.0 (Monty Hall 3.2;see §6);and (4) to any number of switches of doors (s) (Monty Hall 4.0;see §7). The afore-mentioned article in APM, Vol. 1, No. 4 may serve as a useful introduction to the analysis of the higher variations of the Monty Hall problem offered in the present article. The body of the article is by Leo Depuydt. An appendix by Richard D. Gill (see §8) provides additional context by building a bridge to modern probability theory in its conventional notation and by pointing to the benefits of certain interesting and relevant tools of computation now available on the Internet. The cognitive component of the earlier investigation is extended in §9 by reflections on the foundations of mathematics. It will be proposed, in the footsteps of George Boole, that the phenomenon of mathematics needs to be defined in empirical terms as something that happens to the brain or something that the brain does. It is generally assumed that mathematics is a property of nature or reality or whatever one may call it. There is not the slightest intention in this paper to falsify this assumption because it cannot be falsified, just as it cannot be empirically or positively proven. But there is no way that this assumption can be a factual observation. It can be no more than an altogether reasonable, yet fully secondary, inference derived mainly from the fact that mathematics appears to work, even if some may deem the fact of this match to constitute proof. On the deepest empirical level, mathematics can only be directly observed and therefore directly analyzed as an activity of the brain. The study of mathematics therefore becomes an essential part of the study of cognition and human intelligence. The reflections on mathematics as a phenomenon offered in the present article will serve as a prelude to planned articles on how to redefine the foundations of probability as one type of mathematics in cognitive fashion and on how exactly Boole’s theory of probability subsumes, supersedes, and completes classical probability theory. §§2-7 combined, on the one hand, and §9, on the other hand, are both self-sufficient units and can be read independently from one another. The ultimate design of the larger project of which this paper is part remains the increase of digitalization of the analysis of rational thought and language, that is, of (rational, not emotional) human intelligence. To reach out to other disciplines, an effort is made to describe the mathematics more explicitly than is usual.
文摘The metaphysical poetry,as a rather influential literary school,plays a momentous andpredominant part in eariy seventeenth century English literature.The marked quality ofmetaphysical poetry,as practiced by Donne and his successors,is their philosophical subtlety orintellectual rigor,while the quintessence of which consists in its peculiar blend of thought andpassion of realistic violence and meditative refinements.Doctor Johnson accused the
文摘In this note, we discuss the definition of the S1-convexity Phenomenon. We first make use of some results we have attained for?? in the past, such as those contained in [1], to refine the definition of the phenomenon. We then observe that easy counter-examples to the claim extends K0 are found. Finally, we make use of one theorem from [2] and a new theorem that appears to be a supplement to that one to infer that? does not properly extend K0 in both its original and its revised version.
文摘In this note, we analyze a few major claims about . As a consequence, we rewrite a major theorem, nullify its proof and one remark of importance, and offer a valid proof for it. The most important gift of this paper is probably the reasoning involved in all: We observe that a constant, namely t, has been changed into a variable, and we then tell why such a move could not have been made, we observe the discrepancy between the claimed domain and the actual domain of a supposed function that is created and we then explain why such a function could not, or should not, have been created, along with others.
文摘目的通过分析运动干预老年痴呆症的研究现状与热点,以期为今后的研究提供新的思路和方向。方法检索Web of Science核心合集数据库中2019年至2023年收录的1288篇运动干预老年痴呆的相关文献,利用CiteSpace v.6.2.R4软件对文献发文量、关键词等进行可视化分析。结果运动干预老年痴呆症的研究热度不断上升,发文量逐年递增;主要研究机构以大学为主;发文量最多的国家是美国,中国位居第二;高频关键词为阿尔兹海默症、身体活动、运动、老年人、认知功能等;近两年突现的关键词有海马神经、载脂蛋白E等。结论运动干预老年痴呆相关研究整体发展迅速,该领域在老年痴呆的发病机制、运动干预老年痴呆认知功能的作用机制方面研究较多;运动处方的选择和利用动物模型进一步探索大脑健康的神经生理机制是目前的研究热点,未来各团队、机构之间可加强学术合作,以促进临床、基础及实验研究工作的开展。
文摘目的:了解近10年护理硕士研究生教育领域在全球的研究热点、研究现状和发展趋势。方法:通过Web of Science检索2013年1月1日—2023年3月1日护理硕士研究生教育领域的英文文献,对收集到英文文献的年度发文量、国家发文量、作者发文量、机构发文量、关键词聚类共现的数据进行可视化处理,分析其研究热点。CiteSpace软件用于检测关键字突现。结果:护理硕士研究生教育领域全球年度发文量呈整体逐步上升趋势;关键词共现聚类分析结果显示,研究热点主题集中在多领域服务实践、心理支持策略、跨专业教育课程、研究生教育模式。结论:近10年护理硕士研究生教育处于迅速发展阶段,护理硕士研究生模拟训练策略、临床思维能力、社会适应能力、跨学科模式等可能是未来该领域研究的热点和方向。未来发展跨学科研究生教育模式,充分发挥护理硕士研究生优势,提高其社会适应能力水平。
文摘This paper covers the task-based approach,including its definition,types of tasks,principles and features,teacher’s role and learner’s role.The author has studied many researchers’opinions and researches,and then puts forward her own ideas on task-based approach.The paper contributes to the improvement of the college English teaching,and the author would like to share her opinion with others in pedagogical studies of teaching college students English.
