高校武术俱乐部运作机制与可持续发展的研究

通过文献资料法、归纳演绎法等对高校武术俱乐部运行机制状况作了研究分析整理,清楚了高校武术俱乐部存在诸多不足,如教学内容空泛、学习兴趣枯燥、经费来源单一等等矛盾,以这些问题为基础提出了相关解决方法,来促进高校武术俱乐部的可持续发展。     

关于鳞状因子循环矩阵的对数矩阵

利用快速傅里叶变换给出了计算鳞状因子循环矩阵的对数矩阵的一种快速算法,同时证明了这类矩阵的对数矩阵中仍为鳞状因子循环的矩阵构成的集合为可数无穷集。最后还给出了求鳞状因子循环矩阵的主对数矩阵的算法。     

指数Riordan群的一些性质及应用

在指数Riordan群定义的基础上得到其行和的计算公式、Euler变换形式以及元素之间的递归关系等性质,并且结合Hermite多项式推导得出一个新的组合恒等式.在应用方面,讨论了用涉及指数族的二项式序列φi(x)定义的广义Pascal函数矩阵,对已有的结论利用Rior-dan阵理论给出了简单的新证明,使得被广泛研究的Pascal矩阵、Pascal函数矩阵的一些性质成为推论.此外,还讨论了元素为Bell多项式的Bell矩阵Bn,给出其指数Riordan阵形式,进而给出了Bn元素所满足的递归关系.     

块对角占优矩阵的特殊应用

以矩阵范数性质的块对角占优矩阵和广义严格对角占优矩阵为工具,利用矩阵分块的方法引入了矩阵非奇异的判定条件,讨论了矩阵非奇异性的判定准则,并利用数值例子说明了所给结论的可行性和有效性．     

与对合矩阵可交换的反对合矩阵

讨论与对合矩阵可交换的反对合矩阵。主。要结果如下：（1）给出了与n阶对合矩阵可交换的反对合矩阵的一种表示;（2）对于2阶对合矩阵A,如果A≠±I（I是单位矩阵）。那么与A可交换的反对合矩阵一共有4个,它们是±玎和±进;（3）对于3阶对合矩阵A,如果A≠±I,那么与A可交换的全体反对合矩阵为±iI和±iA,以及±[iik-i]p^-1,±P[-iik-i]P^-1,±P[ikl1＋k^2/l-k]P^-1,P[-ikl-1＋k^2/l-k]P^-1其中k是任意复数,l是任意非零复数;当廿（A）=-1时,P是A与diag{1,-1,-1,这一对相似矩阵之间的相似因子;当tr（A）=1时,P是A与diag{-1,1,1}之间的相似因子。     

Linear Algebra Students' Understanding of Similar Matrices and Matrix Representations of Linear Transformations in a MATLAB-Assisted Learning Environment

Abstract

The purpose of this research study was to understand how mathematics majors make sense of similar matrices, a linear algebra topic that is rich in internal and external connections, in a series of in-depth qualitative interviews in a technology-assisted (MATLAB) learning environment. The study was also an attempt to develop a cognitive theory in mathematics majors’ treatment of similar matrices and matrix representations of linear transformations in a computer-assisted learning environment by drawing primarily on three aspects of the experimental mathematics methodology, made possible by using modern digital tools to enhance learning: testing conjectures, suggesting proofs, and, computing lengthy hand derivations (Borwein &; Bailey, 2003 Borwein, J. M., &; Bailey, D. H. (2003). Experiments in mathematics: Computational paths to discovery. Natick, MA: AK Peters. [Google Scholar]). The analysis revealed a diversity of innovative ways by which research participants coordinated analytic and computational (MATLAB) methods for understanding matrix similarity and its connections to the rest of linear algebra. The paper concludes by offering pedagogical implications and recommendations for further research.     

广义帕斯卡矩阵及其几何性质

将帕斯卡矩阵推广为函数矩阵,称为广义帕斯卡函数矩阵,也就是下三角函数矩阵的一种.并讨论其几何性质,从而给出一些恒等式的推导方法.     

Towards new documentation systems for mathematics teachers?

We study in this article mathematics teachers’ documentation work: looking for resources, selecting/designing mathematical tasks, planning their succession, managing available artifacts, etc. We consider that this documentation work is at the core of teachers’ professional activity and professional development. We introduce a distinction between available resources and documents developed by teachers through a documentational genesis process, in a perspective inspired by the instrumental approach. Throughout their documentation work, teachers develop documentation systems, and the digitizing of resources entails evolutions of these systems. The approach we propose aims at seizing these evolutions, and more generally at studying teachers’ professional change.

Adaptive control of PLL using neural network

This paper proposes a method for increasing capture range of a phase-locked loop (PLL). The behavior of PLL in the initial condition is nonlinear. This nonlinearity phenomenon is caused by phase detector (PD). A method using neural network as controller in PLL is proposed for overcoming this problem. In the proposed method, the reference frequency and frequency of VCO converted to voltage by FTV. Frequency tracking is achieved by neural network. The circuit has been fabricated in a standard 0.13 μm CMOS process. Simulation results show a tracking range of 110 MHz, and a capture range of 90 MHz while operating from a 2 V supply with maximum 2.18 mW power consumption.