Acoustic scattering from multiple spheres by using a kind of addition formulae for the spherical wave functions

A kind of addition formulae for the spherical wave functions is generated by using the bicentric expansion of Green function in spherical coordinates. For an acoustical system with multiple spheres, the addition formulae permit the field expansions all referred to the center of one of the spheres, whose boundary conditions can be consequently used to study the multiple scattering easily. The two-sphere acoustical system with different boundary conditions is considered and the field scattered by each sphere can be obtained by solving an infinite set of two linear, complex, algebraic equations, whose coefficients are coupled through double sums in the spherical wave functions. Finally, the form functions of two spheres insonified by a plane wave at arbitrary angles of incidence are calculated and the addition formulae presented are validated by comparing the corresponding numerical results with those of the existing literature.     

高中数学新课程标准在农村中学实施的思考与对策

普通高中课程改革是我国基础教育课程改革的重要组成部分.由于广大农村地区特别是经济欠发达地区的农村教育基础薄弱,资源匮乏,师资力量相对较弱,因此农村地区的高中课程标准的实施将是高中新课程标准改革的重点与难点.福建省于2006年下半年在全省范围内推进高中新课程标准改革     

高中数学课堂中合作学习实施的设计策略研究

教育部2003年4月颁布实施的普通高中《数学课程标准(实验)》[1]中强调指出:丰富学生的学习方式,改进学生的学习方法,是高中数学课程追求的基本理念.倡导学生积极主动、勇于探索的学习方式,明确指出学生学习数学不是接受、记忆、模仿和练习,而应是自主探索、合作交流、动手操作、阅读自学、充满了创新思考的过程.合作学习是新课程所大力倡导的三种主要学习方式之一,如何设计合理、有效的合作学习实施方案,需要有具体的合作学习实施策略为指导.所谓“设计策略”,就是教师为实现教学目标或教学意图而采取的一系列具体的问题解决行为方式.高中数…     

关于新旧教材比较及对教学的启迪--以万有引力定律教学为案例

l比较新旧教材的意义 对教师而言，比较新旧教材，无疑是教学活动中不可缺少的环节．通过新旧教材的对比，可以使教师掌握教材编排．更重要的是，通过新旧教材对比，让教师更好地领会新旧教材的不同，进而了解编者的意图，体会新课程标准的理念，从而在教学活动中更好地理解和落实新课程标准．下面，笔者以2004年初审通过的广东教育出版社出版的《普通高中课程标准实验教科书物理（必修2）》第三章第一节“万有引力定律”，     

Acoustic vector sensor signal processing

Acoustic vector sensor simultaneously, colocately and directly measures orthogonal components of particle velocity as well as pressure at single point in acoustic field so that is possible to improve performance of traditional underwater acoustic measurement devices or detection systems and extends new ideas for solving practical underwater acoustic engineering problems. Although acoustic vector sensor history of appearing in underwater acoustic area is no long, but with huge and potential military demands, acoustic vector sensor has strong development trend in last decade, it is evolving into a one of important underwater acoustic technology. Under this background, we try to review recent progress in study on acoustic vector sensor signal processing, such as signal detection, DOA estimation, beamforming, and so on.     

STABLE DOUBLE LR ALGORITHM AND ITS ERROR ANALYSIS

In this paper, the normative matrices and their double LR transformation with origin shifts are defined, and the essential relationship between the double LR transformation of a normative matrix and the QR transformation of the related symmetric tridiagonal matrix is proved. We obtain a stable double LR algorithm for double LR transformation of normative matrices and give the error analysis of our algorithm. The operation number of the stable double LR algorithm for normative matrices is only four sevenths of the rational QR algorithm for reed symmetric tridiagonal matrices.     

矩阵方程（A^TXA，B^TXB=（C，D）的反对称解及其最佳逼近

本利用矩阵对的标准相关分解，得到了矩阵方程(A^TXB，B^TXB)=(C，D)反对称解存在的充分必要条件及通解表达式，同时给出了解关于已知矩阵的最佳逼近．     

论珠心算教练师培训的价值取向

珠心算教练师国家职业标准的公布施行,对规范珠心算教学、强化对珠心算教练师培训管理具有重要的现实意义,这是各级珠算协会今后一个时期的一项新的工作任务。为此,如何正确定位和科学把握珠心算     

微观世界探索

论文系统地阐述了从原子、原子核到基本粒子内部结构研究的历史及现状，讨论了微观物理理论和实验研究的前景和展望．论文还阐述了微观物理与宏观物理(宇宙论和天体物理等)的结合与交叉，以无可争辨的实验事实阐明了微观世界和宏观世界的无限性．