The dual form of Beck type identities

The Ramanujan Journal - Inspired by Andrews and Merca’s recent work on the number of even parts over all partitions into distinct parts, we introduce a new kind of Beck type identities, which...     

小波变换软阈值去噪在粗晶材料超声检测中的应用

本研究多尺度小波分析方法在粗晶材料超声检测信号增强中的应用。在分析结构噪声，电噪声和缺陷信号的小波变换特性的基础上，提出一种用一个尺度间变化的门限闭值来抑制噪声的小波变换系数，并以各尺度缺陷信号的能量关系形成权值，加权重构信号来提高信噪比。实验结果表明，该方法具有很好的去噪效果，增强了粗晶材料缺陷的检出率。     

On the combinatorics of the number of even parts in all partitions with distinct parts

The Ramanujan Journal - Recently, Andrews and Merca obtained two identities concerning the number of even parts in all partitions of n into distinct parts. In this paper, we provide bijective...