具有高消失矩的3-进双正交对称小波的构造

本文用矩阵对称扩充来构造了具有高消失矩的3带对称双正交小波.利用矩阵扩充,获得了3维矩阵对称扩充方法和小波构造的算法,并且,该算法便于计算机程序化实现;利用两个实例验证了相关的结论.     

Some Polynomial Systems Associated with a Certain Family of Differential Operators

The authors aim at presenting several (presumably new) classes of linear, bilinear, and mixed multilateral generating functions for some general systems of polynomials which are defined by means of a certain family of differential operators. Some of the generating functions considered here are associated with the Stirling numbers of the second kind. Many (known or new) consequences and applications of the results obtained in this paper are also indicated.     

小波分析中的矩阵方法

本文系统总结了小波分析中的矩阵方法,给出了我们得到的一些相关结果。     

A Method for the Construction of Families of Biorthogonal Filters with Prescribed Properties

Some necessary and sufficient conditions are given in order to obtain biorthogonal wavelet filters with properties which are usually required in applications, such as symmetry and regularity order, by appropriately choosing the parameters in the lifting scheme. A special class of filters extending the biorthogonal B-spline filters is then proposed and analyzed.     

环张力促进的叠氮-炔环加成反应

近年来,点击化学中的环张力促进的叠氮-炔环加成(SPAAC)反应由于具有高效快速、高选择性和生物正交性等优点被广泛用于生物医学和材料科学等多个领域。SPAAC反应不需要光、热、超声和催化剂等额外的刺激,反应的驱动力来源于高张力的活泼环状炔烃,因此合理设计环状炔烃是SPAAC反应的关键。本文详细归纳了不同环数目的环状炔烃的稳定性和反应活性,总结参与SPAAC的稳定环状炔烃,并讨论了它们参与SPAAC反应的二级反应速率常数。本文还介绍了目前应用广泛的代表性环状炔烃的制备方法研究进展。最后,对无铜催化的SPAAC的应用前景和存在的问题进行讨论和展望。