高等数学课中“无限思想”情景教学的设计

高等数学的学习关键在于掌握极限思想。为了掌握极限思想,笔者从数学的无限思想说起,通过设计情景教学,引进一个有无限个房间的旅馆,通过理解“客满”后,再来了一位客人怎么入住,引导学生思考,让学生深刻理解并掌握数学的无限思想,从而掌握数学的极限思想,由此便打开了通往高等数学学习之门。     

无限离散数学规划对偶理论

一、导言以数学规划为基本内容的最优增长问题,以及与之密切相关的其它最优化问题,是数理经济学的重要组成。这些问题涉及了诸如生产、投资、效用、价格等等概念,通常的表现形式是有限或无限的离散时间问题。在这方面,有许多相当突出的成果,例如,Weitzman 和 Mckenzie 等人的工作。     

基于信息与计算科学专业特色的极限教学研究与实践

信息与计算科学专业具有和数学专业有明显不同的着重点与方向。因此,对该专业的极限教学必须要与数学专业的形式定义有所区别,应该充分凸显该专业既注重形式定义的重要,也要突出内在解决实际问题的本质的特色。本文从解决实际问题的方法出发,从揭示极限的数学本质进行教学探讨,符合该专业所要求的教学特色,提高专业教学质量。     

无限 人生是旷野,不是轨道

<正>“人生就像一盒巧克力,你永远不知道下一颗是什么味道。”电影《阿甘正传》中,阿甘妈妈说过的一句话至今激励了全球无数人。只有把商业视为一场无限的游戏,才能充分享受巧克力未知的滋味。无限游戏是很多企业家欣赏的商业哲学。“有限的游戏,其目的在于赢得胜利;无限的游戏,却旨在让游戏永远进行下去。有限的游戏在边界内玩,无限的游戏玩的就是边界。有限的游戏具有一个确定的开始和结束,拥有特定的赢家,规则的存在就是为了保证游戏会结束。无限的游戏既没有确定的开始和结束,也没有赢家,它的目的在于将更多的人带入到游戏本身中来,从而延续游戏。”《有限与无限的游戏》作者詹姆斯·卡斯的这一观点,被王兴等企业家视为圭臬。     

试谈数学课堂教学活动化

在实践中我们发现单靠数学活动课是无法解决目前数学教学的诸多问题的，我们不能寄希望于有限的活动课来解决素质教育的推行问题。因为活动课能达到的目标，课堂教学应该能达到。因此，数学课堂教学活动化是对“活动课程”理论的进一步运用，只有将数学课堂活动化，才能真正地提高数学教学的效率。     

有限与无限的世界——2024年“30位年度影响力商界木兰”数据解读

<正>作者詹姆斯·卡斯在《有限与无限的游戏》一书中将世界分为“有限游戏”和“无限游戏”。他认为有限的游戏以取胜为目的,而无限的游戏以延续游戏为目的。有限的游戏中充满竞争、权力和成败,而无限的游戏则以自身为目的,充满意义,价值和美。今年,我们将“30位年度影响力商界木兰”(以下简称“商界木兰”)的主题设定为“无限”,其中包含了年龄的无限、性别的无限、角色的无限以及事业的无限。这里的“无限”并非时间维度上的无止境,而是精神层面的无限性。因为我们看到,女性尤其是商业女性越来越打破刻板印象和外在限制,在成为自己的道路上不断成就事业。就像55岁开始创业的关玉香、力推集团转型的何超琼,以及打造了2024年春节档票房冠军的贾玲。     

基于数学建模实践活动的高职数学课程教学探索

高职院校主要是为社会培养职业技术型人才。而高职数学作为高职院校的基础课程,是其它学科的基础。然而在实际的教学中,高职院校的数学存在着许多问题,这些问题制约着高职院校的发展。为了解决这一问题,"数学建模"的概念被引入高职数学课程教学。本文将对基于数学建模实践活动的高职数学课程教学进行深入的分析研究。     

国家审计系统管理成长上限模型分析

一、导论 1、现代管理学理论认为：资源有限,创意无限。管理的基本问题就是如何在变动的环境中激发人的潜力,将组织有限的资源进行有效配置,以达成组织既定的目标。组织资源是有限的,这就要求组织应该充分有效利用这些有限的资源,使之发挥最大的效用。在不考虑调动他人资源为自己组织目标实现服务的前提下,充分有效利用组织有限的资源,实现组织目标,可以有两个基本的方式：一为在既定的资源条件下,使组织目标更好地实现;二为在既定组织目标条件下,尽少地占用有限资源。     

股份风险机制与发展模式

股份制具有一套独特的、比较成熟的风险机制:1、有限的风险,无限的收益。这是股份经济中风险机制最基本的表现。出资的股东是以其认缴的股金对公司负有有限的责任,承担有限的风险。同时,股东因持有公司的股票,在正常情况下,一方面可按所持股票的数量从公司获得股息和红利;另一方面,由于公司经营状况良好,股票本身的价格将会上升,股东也会因此获得好处。也就是说他可能获得的收益是无限的(指股票的收益在理论上是没有界限的,是不确     

化归思想方法探讨

所谓化归思想方法,就是在研究有关数学问题时采用某种手段将问题通过变换使之转化,进而达到解决问题的一种方法。一般来说,总是将复杂问题通过变换转化为简单的问题,将难解的问题通过变换转化为容易求解的问题。将未解决的问题变换为已解决的问题。学生有了化归思想,就能从更深层次上去揭示知识内在联系,提高分析问题和解决问题的能力。数学高考试题注重“考基础,考能力、考思想”。中学的数学教学也愈来愈重视对学生“用数学”的意识和能力培养。所以,熟悉数学化归的思想,有意识地运用数学变换的方法去灵活解决有关的数学问题,将有利于强化在解决数学问题中的应变能力,有利于提高解决数学问题的思维能力和技能、技巧。教学中,力求用以下训练方法对学生进行化归思想训练,取得了较为满意的效果。     

如何运用《庄子·秋水》思想指导现代人类生活

庄子是先秦时期著名的思想家,其著作《庄子.秋水》中的思想意义耐人寻味,如自然无限、无时不变、物无贵贱等思想对现代社会与人类生活具有重要的启迪,指导人类以有限应对无限,以平和应对变化,以真性应对生活。     

Costly State Verification with Varying Risk Preferences and Liability

Abstract.  In the scenario of loan contracts with costly state verification, we examine how the properties of the set of states, different risk preferences of debtors and varying liability of lenders affect the structure of optimal repayments. In particular, we show that with risk‐averse debtors, a general set of states, a constant observation cost and both unlimited and limited lender liability, the debtor is strictly better off revealing the true state of nature when his realized revenue is low, which implies that optimal debtor consumption has a downward jump around the single switch from observed to unobserved states. If the debtor can destroy revenue or if the debtor is risk neutral, this non‐monotonicity of consumption disappears. Moreover, given the loan size, there is more monitoring under debtor‐risk aversion than risk neutrality. We present simulations showing that a contract with unlimited lender liability and debtor‐risk aversion has a higher expected observation cost but a lower variance of consumption than a contract with limited lender liability. Finally, we discuss the problems of commitment to verification and contract renegotiation in this framework.     

Strategy-proofness in many-to-one matching problems

We search forstrategy-proof solutions in the context of (many-to-one) matching problems (Gale and Shapley, 1962). In this model, whenever the firms can hire as many workers as they want (the capacities are unlimited) the stable set is a singleton. There exists aPareto efficient, individually rational, andstrategy-proof matching rule if and only if the capacities are unlimited. Furthermore, whenever the capacities unlimited, the matching rule which selects the unique stable matching is the only matching rule that isPareto efficient, individually rational, andstrategy-proof.     

浅谈音乐对幼儿成长的影响

音乐教育是当今世界闻名,影响最广泛的教育体系。音乐教育对幼儿有着非常重要的作用,它不仅可以发展幼儿的智力,而且让幼儿具有无限的想象空间,同时也能促进幼儿的全面健康发展.     

The homogeneity problem in statistics

The theory of probability is the most abstract mathematical science with unlimited scope of application. However, the essential question of the theory of probability has not been solved: how can we use probabilities in the epistemology of empirical data sets? The answer to this question can be given on the basis of the concept of homogeneous random processes.     

我国城市化危及土地资源持续利用的立法原因探析

随着我国城市化进程的不断加快 ,土地资源供给的有限性与人们对土地资源需求的无限性之间的矛盾日益突显。而在此背景下重新修订公布的《土地管理法》在涉及建设用地需求的无限扩展与农业用地数量的持续下降这两个突出问题上 ,并没有明确政府的职能定位 ,也反映出了相关制度的模糊性。本文就此进行了探讨。     

Simple methods for uncapacitated facility location/allocation problems

Facility location/allocation problems are encountered in many different areas of management science. The methods presented in the literature are complex and are not easily understood by practitioners who are not trained in the techniques of optimization. Simple heuristic methods are presented in this article. The methods are developed for three different types of uncapacitated problems: (1) unlimited facility capacity with no fixed cost; (2) unlimited facility capacity with a fixed cost for assignment; (3) multiperiod problems. Examples are included to illustrate the basic methods.     

基于网络环境下考试系统软件的设计与实现

基于网络环境下考试软件的使用,较传统笔试答卷,不但操作简单,功能齐全,而且更为安全、方便、高效,可以快速实现成绩评定统计工作,节省人力,还可以无限次使用,节约资源。     

Racial harassment: Case characteristics and employer responsibilities

This article examines the socio-business issue of racial harassment in the workplace. For two decades, the federal judiciary has been defining and refining the elements of the offense within the parameters of Title VII of the Civil Rights Act of 1964 and Section 1981 of the Civil Rights Act of 1866. The Supreme Court’s decision to hear arguments for the first and only time on one of the important aspects of the developing doctrine focused considerable attention on this workplace problem in 1989. The Civil Rights Act of 1991 provides limited money damages to victims of discrimination under Title VII of the Civil Rights Act of 1964, whereas Section 1981 of the Civil Rights Act of 1866 provides unlimited damages to the victims of discrimination and race harassment. The authors discuss the legislative and judicial foundations of race harassment with respect toPatterson v. McLean, provide a profile and analysis of racial harassment cases (1971–1987), and conclude with a discussion of employer liability and recommendations for management.     

Legal Liability,Government Intervention,and Auditor Behavior: Evidence from Structural Reform of Audit Firms in China

This paper investigates how legal liability influences audit quality and audit fees, particularly in the presence of government intervention. Since 2010, all Chinese audit firms were required to transform from a structure of limited liability company (LLC) to limited liability partnership (LLP), which removes the cap on the liability exposure of negligent auditors. By adopting this natural experiment, we document the following findings: first, after audit firms reorganize as LLPs, auditors are more likely to (1) issue modified audit opinions and going-concern opinions, (2) constrain clients’ earnings management, and (3) charge a premium in audit fees, which suggest that exerting unlimited legal liability on negligent auditors improves both audit quality and audit fees. Second, the effect of the LLP adoption is more pronounced when auditors are from local audit firms, and clients are controlled by local governments. Further analyses suggest that the stock prices of clients positively react to the reform event, which indicates that LLP adoption improves the overall value of audits. In summary, our empirical findings are consistent with the argument that legal liability is able to effectively shape auditor behavior in emerging markets where the other institutional mechanisms are relatively weaker and government intervention is heavy.