Optimal and approximate boundary controls of an elastic body with quasistatic evolution of damage

In this paper, we study an optimal control problem for the mixed boundary value problem for an elastic body with quasistatic evolution of an internal damage variable. We suppose that the evolution of microscopic cracks and cavities responsible for the damage is described by a nonlinear parabolic equation. A density of surface traction p acting on a part of boundary of an elastic body Ω is taken as a boundary control. Because the initial boundary value problem of this type can exhibit the Lavrentieff phenomenon and non‐uniqueness of weak solutions, we deal with the solvability of this problem in the class of weak variational solutions. Using the convergence concept in variable spaces and following the direct method in calculus of variations, we prove the existence of optimal and approximate solutions to the optimal control problem under rather general assumptions on the quasistatic evolution of damage. Copyright © 2014 John Wiley & Sons, Ltd.     

Nourdin–Peccati analysis on Wiener and Wiener–Poisson space for general distributions

Given a reference random variable, we study the solution of its Stein equation and obtain universal bounds on its first and second derivatives. We then extend the analysis of Nourdin and Peccati by bounding the Fortet–Mourier and Wasserstein distances from more general random variables such as members of the Exponential and Pearson families. Using these results, we obtain non-central limit theorems, generalizing the ideas applied to their analysis of convergence to Normal random variables. We do these in both Wiener space and the more general Wiener–Poisson space. In the former space, we study conditions for convergence under several particular cases and characterize when two random variables have the same distribution. In the latter space we give sufficient conditions for a sequence of multiple (Wiener–Poisson) integrals to converge to a Normal random variable.     

深入理解化学平衡常数及其应用——对2019年全国理综(Ⅰ卷)化学第28题的分析

在已有的化学平衡常数教学的基础上,提出认知化学平衡常数的新角度--化学平衡常数的多种表达式。依据教材中用浓度表示的化学平衡常数并结合理想气体状态方程,推导用物质的量分数及分压表示的化学平衡常数表达式,分析3者之间的区别和联系,进而应用化学平衡常数的多种表达形式解决2019年全国(Ⅰ卷)化学第28题中的相关问题,使学生深入理解解答这道高考试题的关键所在。同时,拓展了学生对平衡常数的认识,提升了学生灵活应用平衡常数解决问题的能力。     

吉林大学应用化学学科:理工兼备 特色发展

吉林大学应用化学学科始建于1986年,依托吉林大学化学学科深厚理论基础与学术优势,经过几代应用化学学科人的不懈努力,逐渐形成了“理工兼备”的学科特色。在吉林大学化学学科70华诞之际,回顾了应用化学学科的发展历程,着重介绍了应用化学学科在本科教学与专业特色、科学研究与平台建设、人才培养与社会服务等3个方面取得的成绩,以及今后发展的设想。     

问题引导法提高学生学习主动性的探索与实践*——以大学化学混合式教学为例

建设具有创新性、高阶性和挑战度的“金课”,是当代创新型人才培养的必然要求。大学化学是本校非化学类理工科专业基础课,相比于数学和物理,学生重视不足,导致教学效果不理想。为了解决这一问题,采取以学生为主的混合式教学模式,通过设置基础性、应用性及创新性问题,引导学生分层次解决,提高学生参与主动性。所设置的应用性问题包括科技前沿、专业相关、社会热点等,以增加内容的深度和广度,激发学生探索的兴趣。通过实验方案设计及实验检验培养学生的创新思维。采取累加式进行教学效果评价,实践表明该混合式教学模式能显著提高学生自主学习能力和兴趣,提高教学效果。     

Characteristics of Dietary Fatty Acids Isolated from Historic Dental Calculus of the 17th- and 18th-Century Inhabitants of the Subcarpathian Region (Poland)

Dental calculus analysis can be a valuable source of archaeological knowledge, since it preserves not only microbial and host biomolecules but also dietary and environmental debris, as well as metabolic products likely originating from dietary and craft activities. Here we described GC-MS analysis of a set of historic dental calculus samples from the front teeth of the mandibles of seven individuals found in 17th- and 18th-century graves in the city of Rzeszow, located in South-eastern Poland. We have found that only saturated fatty acids, which are characteristic for fats of animal origin, were present in the tested samples. Our preliminary results indicate that the diet of modern-period inhabitants of Rzeszow was rich in animal products, such as meat and dairy products.     

《大学物理实验》改革的几点建议

针对大学物理实验课的教学特点,介绍了大学物理实验课的现状。详细分析了目前大学物理实验课教学过程中存在的一些弊端,阐述了大学物理实验教学改革的必要性。提出了在实验内容、教学模式、考核方法和教学交流上进行改革的几点建议。     

大学物理实验中用坐标纸作图的规范性

大学物理实验中,作图法是数据处理中比较重要的一种方法,用坐标纸作图是数据处理训练的必要途径,但目前不少学生手工作图并不规范。总结出作图法的6条基本规则,并通过实验数据作图的实例,分析学生较为常见的手工作图不规范表现,并提出相应的教学建议。     

浙江新高考化学加试题难度研究*

在对已有试题难度量化工具进行改进的基础上,建构了化学加试题难度评估工具。对2015年至2019年国家新高考实验区浙江省的8次化学选考加试题的难度进行了量化评价。结果表明,8次化学加试题整卷难度变化较大,但同一学年、有相同学生可能参与的2次化学选考的整体难度相近;加试题能力特征和难度差异明显,“有机化学基础”加试题(第32题)难度相对稳定,而第30题(化学反应原理)与第31题(实验化学)加试题难度却表现出一定的波动性。在对8次化学加试题的难度及相关因素进行分析的基础之上,也对如何提高加试题的编制质量,提出了可行性建议。