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Journals and Conferences
A wavelet based method for transforming DNA sequences is illustrated by using the small subunit of the ribosome. This paper discusses the application of multi resolution analysis on FASTA-formatted DNA sequences using biorthogonal wavelets. Once transformed, the data could be used for pairwise or multiple sequence alignments needed for studies of… (More)
BACKGROUND Exhaled aerosol patterns, also called aerosol fingerprints, provide clues to the health of the lung and can be used to detect disease-modified airway structures. The key is how to decode the exhaled aerosol fingerprints and retrieve the lung structural information for a non-invasive identification of respiratory diseases. OBJECTIVE AND METHODS… (More)
In the past few years, wavelet methods have been applied in coastal and ocean current data analysis [2, 5, 6]. These new tools have better performance than the traditional Fourier techniques. They localize the information in the time-frequency space and are capable of trading one type of resolution for the other, which renders them suitable for the analysis… (More)
In this article, we use scaling function interpolation method to solve linear Fredholm integral equations, and we prove a convergence theorem for the solution of Fredholm integral equations. We present two examples which have better results than others.
We generalize Variable Precision Rough Set Theory (VPRST) to Variable Precision of Generalized Rough Sets (VPGRS) through reflexive relations and provide characterizations of lower and upper approximations for VPGRS.
The concept of discernibility thresholds in the variable precision model (VP-model) is presented to classify sets in a nonempty finite universe. Analysis of inconsistent decision table is obtained by using the tools in VP-model. The tools are obtained by the interplay among inclusion error, discernibility threshold dependency and consistency as well as… (More)
Numerical solutions of singular Fredholm integral equations of the second kind are solved by using Coiflet interpolation method. Error analysis of the method is obtained and examples are presented. It turns out that our method provides better accuracy than other methods.
We establish a characterization of upper approximation for binary relations. Based on this characterization, the R-definability of Slowinski and Vanderpooten is alternatively defined in terms of lower and upper approximations. In addition, some necessary conditions for R-definability are presented.