On the analysis of a dynamic evolutionary algorithm

Evolutionary algorithms are applied as problem-independent optimization algorithms. They are quite efficient in many situations. However, it is difficult to analyze even the behavior of simple variants of evolutionary algorithms like the (1+1) EA on rather simple functions. Nevertheless, only the analysis of the expected run time and the success probability within a given number of steps can guide the choice of the free parameters of the algorithms. Here static (1+1) EAs with a fixed mutation probability are compared with dynamic (1+1) EAs with a simple schedule for the variation of the mutation probability. The dynamic variant is first analyzed for functions typically chosen as example-functions for evolutionary algorithms. Afterwards, it is shown that it can be essential to choose the suitable variant of the (1+1) EA. More precisely, functions are presented where each static (1+1) EA has exponential expected run time while the dynamic variant has polynomial expected run time. For other functions it is shown that the dynamic (1+1) EA has exponential expected run time while a static (1+1) EA with a good choice of the mutation probability has polynomial run time with overwhelming probability.     

Recent developments in the statistical processing of textual data

Statisticians are accustomed to processing numerical, ordinal or nominal data. In many circumstances, such as socio-economic, epidemiologic sample surveys and documentary data bases, this data is juxtaposed with textual data (for example, responses to open questions in surveys). This article presents a series of language-independent procedures based upon applying multivariate techniques (such as correspondence analysis and clustering) to sets of generalized lexical profiles. The generalized lexical profile of a text is a vector whose components are the frequencies of each word (graphical form) or ‘repeated segment’ (sequence of words appearing with a significant frequency in the text). The processing of such large (and often sparse) vectors and matrices requires special algorithms. The main outputs are the following: (1) printouts of the characteristic words and characteristic responses for each category of respondent (these categories are generally derived from available nominal variables); (2) graphical displays of the proximities between words or segments and categories of respondents; (3) when analysing a combination of several texts: graphical displays of proximities between words or segments and each text, or between words or segments and groupings of texts. The systematic use of ‘repeated segments’ provides a valuable help in interpreting the results from a semantic point of view.     

Properties study of anhydrite(II) prepared from waste gypsums

Anhydrites(II)- CaSO₄ were prepared from two waste gypsums (PRECHEZA Perov, FOSFA Potorná). The samples of anhydrites(II) with sulphate activators were tested on spillage, beginning and the end of setting time, bending and pressure strength. Both sodium and potassium sulphates accelerated setting of anhydrite, more impressively that prepared from Potorná gypsum. The addition of Na₂SO₄ influenced the strength of this anhydrite very favourably. On the contrary K₂SO₄ influenced favourably the strength of Perov anhydrite. Results confirm the necessity to evaluate properties of such materials with respect to their origin.     

New indices for analysing partial ranking diagrams

Interest is growing in decision making strategies and several techniques are now available. The assessment of priorities is a typical premise before final decisions are taken. Total and partial order ranking (POR) strategies, which from a mathematical point of view are based on elementary methods of discrete mathematics, appear as an attractive and simple tool to asses priorities. Despite the well-known total ranking strategies, which are scalar methods combining the different criteria values into a global index which always ranks elements in an ordered sequence, the partial order ranking is a vectorial approach which recognises that not all the elements can be directly compared with all the others. In fact when many criteria are considered, contradictions in the ranking are bound to exist and the higher the number of criteria, the higher the probability that contradictions in the ranking occur. The Hasse diagram technique (HDT) is a very useful tool to perform partial order ranking. The results of the partial order ranking are visualised in a diagram, called Hasse diagram. Incomparable elements are located at the same geometrical height and as high as possible in the diagram, thus incomparable elements are arranged in levels. The quality of a ranking procedure has to be evaluated by a deep analysis and by several indices, i.e. scalar functions that describe features of an ordered set and allow comparison among different rankings. For this purpose, new indices for ranking analysis are proposed here, compared with the ones found in literature and tested on theoretical examples and on real data.     

考查变量控制能力的科学探究题的命题与思考*

以一道科学探究题的命题为例,从题目的研发、学生问题反馈、教学策略改进等角度研究科学探究问题,寻找学生困惑的根源,找到对应教学改进策略,帮助学生提升科学探究能力。     

立体化学在有机化学中的重要地位——中国化学奥林匹克竞赛理论试题分析

分析2015-2017年中国化学奥林匹克竞赛（初赛、决赛）理论部分试题，发现有机化学试题中立体化学相关内容备受命题者的青睐，凸显了立体化学在有机化学中的重要地位。     

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。     

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。     

设计性研究性实验题目设置和教学方法初探

本文站在提高学生科学素养、培养创新型人才和增强国家科技竞争力的高度,针对大学物理实验教学中普遍存在的设计性、研究性实验题目设置"难",以及由此带来的教学"难"问题,提出了明确的思路和较实用的解决方案,对于全面贯彻教学基本要求,提高实验教学层次和质量具有重要的现实指导意义。     

近5年化学奥林匹克(初赛)试题的分析及建议

从化学核心素养出发，分析近5年化学奥林匹克（初赛）试题考查的学生知识水平、能力水平、素养水平，并针对培养中学生核心素养的教学实践提出建议。