一类$L^2(\mathbb{R}^n)$的紧支撑不可分正交小波

本篇文章给出一类$L^{2}(\mathbb{R}^{n})$, $n\geq2$的紧支撑不可分正交小波基的具体构造算法,其中正交小波的伸缩矩阵为$\alpha I_{n}~(\alpha\geq2,\ \alpha \in \mathbb{Z})$, $I_{n}$是$n$阶单位矩阵.最后给出两个不可分正交小波基的构造算例.     

二元正交对称不可分尺度函数的参数化

Let I be the 2 × 2 identity matrix, and M a 2 × 2 dilation matrix with M2 = 2I. First, we present the correlation of the scaling functions with dilation matrix M and 2I. Then by relating the properties of scaling functions with dilation matrix 2I to the properties of scaling functions with dilation matrix M, we give a parameterization of a class of bivariate nonseparable orthogonal symmetric compactly supported scaling functions with dilation matrix M. Finally, a construction example of nonseparable orthogonal symmetric and compactly supported scaling functions is given.     

“卤代烃——溴乙烷”教学设计

1指导思想与理论依据本节课教学指导思想:根据普通高中化学课程标准提出的"通过以化学实验为主的多种探究活动,使学生体验科学研究的过程,激发学习化学的兴趣,强化科学探究的意识,促进学习方式的转变,培养学生的创新精神和实践能力”的理念,以学生为主体,让学生自主地参与知识的获得过程,并给学生充分的表达自己想法的机会。