正交变换在积分中的应用

利用正交变换,在重积分、曲面积分中处理积分的变数替换。     

Schwarz不等式及旋转体侧面积的计算问题

文章应用Schwarz不等式的知识,给出了旋转体侧面积计算公式的一个新颖的证明,并同时指出用定积分计算旋转体侧面积时应该避免发生的错误。     

高师高等数学课的几种课型设计

针对高等数学课程教学的不足设计了三种行之有效的课型,并给出了它们的应用.     

复连域上的势函数及其在曲线积分计算中的应用

本文在复连域上引进势函数的概念,并给出其计算方法,以此来解决一些复杂的曲线积分计算问题。     

一种有限非交换环的构造方法

先分别对高斯整环Z(i)=｛a bi｜a,b∈Z｝的元素a bi的实、虚部a,b按模n同余分类得到Zn(i)=｛[a] [b]i｜a,b∈Z｝,再利用两个的直积构造了一类有限非交换环。     

我国文献学研究的特点与前景展望

结合20世纪至今我国文献学的发展,从研究视角的变化、大文献学观的形成、专科文献学和专题研究的发展三方面,总结了我国文献学研究的三个特点,并对文献学今后的发展提出了一些建议。     

《高等数学》和《数学分析》教材的注记

指出了高等教育出版社出版发行的通用教材《高等数学》和《数学分析》的几个值得注意的问题。     

改变高维逐次积分次序的新解法

通过对二次积分次序的交换方法的分析，文章给出了改变三次及以上逐次积分次序的一种新方法——降维法来有效地求解重积分问题．     

试论艺术教育新理念

传统的艺术教育理念认为,艺术教育主要是培养人的综合艺术能力。随着时代的发展,这一传统理念已不适应艺术发展的需求。新理念认为:在培养人的综合艺术能力的同时,还应培养人们的整合创新、开拓贯通和跨域转换的多种能力,以促进人的全面发展。     

Timescales for exploratory tactical behaviour in football small-sided games

The aim of this study was to identify the dynamics of tactical behaviour emerging on different timescales in football small-sided games and to quantify short- and long-term exploratory behaviour according to the number of opponents. Two teams of four professional male footballers played small-sided games against two different teams with a variable number of opponents (3, 5 and 7). Data were collected using a combination of systematic observation and a non-differential global positioning system (15 Hz). The temporal diversity and structural flexibility of the players were determined by calculating the dynamic overlap order parameter q, entropy and trapping strength. Analysis of the exploratory dynamics revealed two different timescales, forming a different metastable landscape of action for each constraint. Fast dynamics lasted on average a few seconds and consisted of changes in tactical patterns. The long timescale corresponded to the shared tasks of offence and defence lasting tens of seconds. The players’ tactical diversity decreased with an increasing number of opponents, especially in defence. Manipulating numerical imbalance is likely to promote changes in the diversity, unpredictability and flexibility of tactical solutions. The fact that the temporally nested structure of constraints shaped the emergence of tactical behaviour provides a new rationale for practice task design. The manipulation of numerical imbalance on the timescale of a few tens of seconds, on which the exploratory behaviour of players saturates, may help coaches to optimise the exploratory efficiency of the small-sided games.