不定方程X2+Xy-y2+1＝0的一切整数解

本文讨论了不定方程ax^2 bxy cy^2=k的解法，从而彻底解决了本文参考文献^[1]中提出的问题．     

Fibonacci序列{F_(kn r)}模F_n~2的同余式

利用Fibonacci序列的定义及基本性质得到了Fibonacci序列{F_(kn)}模F_n~2的同余式和序列{F_(kn r)}的递归关系,然后归纳得出了{F_(kn r)}模F_n~2的同余式的一般情况,并证明了其正确性.     

论一类特殊的Pythagoras数

设x,y,z是正整数.如果x2 y2=z2,则称(x,y,z)是一组Pythagoras数.运用初等方法证明了:恰有12组Pythagoras数(x,y,z)适合6(x y z)=xy.     

Unravelling continuous assessment practice: Policy implications for teachers’ work and professional learning

Assessment policy in some countries continues to promote the use of continuous assessment (CA) within classrooms. Several policy claims have been made about the potential of CA to improve education. Using data from a 2010 evaluation of the Trinidad and Tobago Continuous Assessment Programme (CAP), canonical correlation analysis (CCA) was used to unravel the pattern of relationships between institutional variables, professional learning, teacher beliefs, and CA components. The CA components measured were (1) overall use, (2) multiple assessment formats use and (3) formative feedback use. Each CA component was shown to be associated with different variables, with overall use related to several teacher belief factors such as extra-role behaviour. However, multiple assessment formats use added only a small amount of unique variance to the CCA solution. Moreover, the canonical variate for formative feedback use was not statistically significant. These findings have implications for CA as a policy tool. Successful implementation of CA may require high quality professional learning as well as teacher workforce remodelling. Even when implemented successfully, however, CA may not be a useful vehicle for promoting high quality formative assessment or use of multiple assessment formats.     

Abstraction and consolidation of the limit procept by means of instrumented schemes: the complementary role of three different frameworks

I investigate the contributions of three theoretical frameworks to a research process and the complementary role played by each. First, I describe the essence of each theory and then follow the analysis of their specific influence on the research process. The research process is on the conceptualization of the notion of limit by means of the discrete continuous interplay. I investigate the influence of the different perspectives on the research process and realize that the different theoretical approaches intertwine. Moreover, I realize that the research study demanded the contribution of more than one theoretical approach to the research process and that the differences between the frameworks could serve as a basis for complementarities.     

A mixed-method study of EFL teachers’ Internet use in language instruction

Information and communication technology has affected language instruction in Taiwanese higher education. Varieties of assorted Internet tools are incorporated in educational settings to engage students in learning. To facilitate the improvement of teacher preparation for Internet use, it is important to study the factors influencing teachers in integrating the Internet into their instruction. A concurrent mixed-method approach is employed in this study. Both quantitative and qualitative results show that teacher training is crucial for Internet-integration instruction by the teachers of English as a foreign language (EFL) in Northern Taiwanese higher education institutions. Continuous professional development focused on technology application in language instruction is imperative.     

From Music to Physics: The Undervalued Legacy of Pythagoras

This paper presents the early investigations about the nature of sound of the Pythagoreans, and how they started a tradition that remains valid up to present times—the use of numbers in representing natural reality. It will touch on the Pythagorean notion of musical harmony, which was extended to the notion of universal harmony. How the Pythagorean ideas have inspired many great works in physics, such as those of Galileo, Kepler and Newton, will also be presented. In exploring the legacy of Pythagoras to physics and the study of the universe, some valuable insights on the nature of science that can inspire budding physicists are extracted.     

Modal verbs and adverbs and with Continuous

Through English and Chinese Modals with adverbs.Centinuous modal verbs such as a comparatire analysis between the two languages inspection Modals different grammatleal function comparison.     

一类连续控制SI模型的动力学分析

建立并研究了一类连续释放害虫策略的SI模型,讨论了SI模型边界平衡点的存在性和局部稳定性,证明了系统在一定条件下存在唯一的全局渐进稳定的正平衡点．最后通过数值模拟进行了验证．     

基于主路径分析的核心主题凸显及演化

[目的/意义]主路径上核心主题的演化可以反映行业发展方向，凸显行业热点技术并预测技术的未来发展，有效判断技术主题间的传承演变关系。[方法/过程]本研究构建一种凸显主路径上的核心主题及演化方法。该方法不同于文本挖掘和聚类，是基于引文网络主路径映射专利分类号的链接计数，通过专利的分类号替代技术主题在主路径上演化并计算节点的技术主题含量，以技术主题含量的变化凸显主路径上的核心主题及其发展历程。[结果/结论]展示有机发光二极管OLED的主题演化图，证实了该方法的合理性。