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关于分次环的分次性质和非分次性质
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作者 张圣贵 《Journal of Mathematical Research and Exposition》 CSCD 1999年第4期723-726,共4页
本文证明了对有限群分次环R而言,下列条件等价:(1)R是左gr-自内射环(左gr-PF环,左gr-QF环,左gr-线性紧环).(2)R是左自内射环(左PF环,左QF环,左线性紧环).(3)R#G是左自内射环(左PF环... 本文证明了对有限群分次环R而言,下列条件等价:(1)R是左gr-自内射环(左gr-PF环,左gr-QF环,左gr-线性紧环).(2)R是左自内射环(左PF环,左QF环,左线性紧环).(3)R#G是左自内射环(左PF环,左QF环,左线性紧环). 展开更多
关键词 左gr-自内射环 分次 分次性质 分次性质
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Visualization of Understanding of Media Characteristics Using Analytic Hierarchy Process
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作者 Yasushi Gotoh 《Computer Technology and Application》 2013年第10期563-567,共5页
The purpose of this study is to design a tool, adapted to students' individual contexts and to enable students to reflect on their understanding of media characteristics. AHP (analytic hierarchy process) is a struc... The purpose of this study is to design a tool, adapted to students' individual contexts and to enable students to reflect on their understanding of media characteristics. AHP (analytic hierarchy process) is a structured technique for organizing and analyzing complex decisions. Using AHP, students have to define appropriate criteria and priorities for using media. It is expected that students" understanding of the characteristics of different types of media will emerge through reflection. Seventy two university students took part in this research. They were asked to prioritize their ways.of obtaining information about current affairs using sets of media such as TV, books, newspapers and web pages, Twitter and Facebook. AHP enables us to visualize a "real" understanding of media characteristics and students can reflect on that basis. As far as "information sources and media" is concerned, a few students indicated that it was the information source itself that was important rather than the type of media. Our tool fulfils the role of encouraging this type of reflection. 展开更多
关键词 Media literacy VISUALIZATION understanding of media characteristics.
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The dynatomic periodic curves for polynomial z→z^d+c are smooth and irreducible
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作者 GAO Yan OU YaFei 《Science China Mathematics》 SCIE 2014年第6期1175-1192,共18页
We prove here the smoothness and the irreducibility of the periodic dynatomic curves(c,z)∈C2such that z is n-periodic for zd+c,where d 2.We use the method provided by Buff and Lei where they proved the conclusion for... We prove here the smoothness and the irreducibility of the periodic dynatomic curves(c,z)∈C2such that z is n-periodic for zd+c,where d 2.We use the method provided by Buff and Lei where they proved the conclusion for d=2.The proof for smoothness is based on elementary calculations on the pushforwards of specific quadratic differentials,following Thurston and Epstein,while the proof for irreducibility is a simplified version of Lau-Schleicher’s proof by using elementary arithmetic properties of kneading sequence instead of internal addresses. 展开更多
关键词 dynatomic curve IRREDUCIBLE Multibrot set
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