In the forth seetion,in the quasi-finit comodule category,through the foundation of AR transpose and the construction of the coNakayana functor,we study their properties in indccomposble injeetive,projective comodule and the ahnost split sequence derived from them,combine the relation between copresentation and comodule,caculate a conerete quiver\'s AR value.

Analysis and determination of noise sources for mine ventilation equipment base on wavelet transform;

Damage identification of pipe based on two-stage wavelet transform method;

Edge detection of metal transfer image based on wavelet transform;

Improvement on Predicting Precision of Oil Content in Instant Noodles with Near-infrared Spectroscopy Treated by Wavelet Transformation;

The Denoising Algorithm of ECG Signals Based on Wavelet Transform;

A Comparative Study of Wavelet Used in DICOM Image Compression;

Compensated densilog HR processing based on wavelet transformation;

Recognition and removal of spikes in capillary electrophoresis using wavelet transformation;

Adaptive multiwell correlation based on wavelet transformation;